Sunday, June 19, 2016

Number of the day: 38680245334015

Blaise Pascal was born on this day 393 years ago.

Properties of the number 38680245334015:

38680245334015 = 5 × 89 × 18553 × 4685059 is composite and squarefree.
38680245334015 has 4 distinct prime factors, 16 divisors, 23 antidivisors and 30594852997632 totatives.
Reversing the decimal digits of 38680245334015 results in a sphenic number.
38680245334015 = 193401226670082 - 193401226670072 = 38680245334042 - 38680245333992 = 2173047491122 - 2173047490232 = 434609500362 - 434609495912 = 10424349042 - 10424163512 = 2085315082 - 2084387432 = 125382562 - 108870392 = 64705722 - 17855132 is the difference of 2 nonnegative squares in 8 ways.
38680245334015 is the difference of 2 positive pentagonal numbers in 8 ways.
38680245334015 is not the sum of 3 positive squares.
386802453340152 = 169497704272652 + 347687598508002 = 74303161716402 + 379598706621752 = 253272415516402 + 292351195394252 = 73014395686682 + 379848701369992 = 27207215176572 + 385844405625242 = 168316694599932 + 348260862327242 = 176451456242812 + 344210722522922 = 81917507005562 + 378028649649672 = 259097068267562 + 287201753346172 = 232081472004092 + 309441962672122 = 144621961856842 + 358748694852872 = 239286717941372 + 303904597738842 = 99551647426252 + 373772132996402 is the sum of 2 positive squares in 13 ways.
386802453340152 is the sum of 3 positive squares.
38680245334015 is a divisor of 31221009976 - 1.

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