Search a number
-
+
317103565142436 = 2232310113078703523
BaseRepresentation
bin100100000011001110110110…
…1010110110111100110100100
31112120202210201200020011022220
41020012131231112313212210
5313030411100134024221
63042231211115152340
7123535655645445432
oct11006355526674644
91476683650204286
10317103565142436
1192047959717196
122b6949664456b0
13107c2979192517
145843c744d5d52
15269d8d11b40c6
hex120676d5b79a4

317103565142436 has 96 divisors (see below), whose sum is σ = 780319248565248. Its totient is φ = 100027837641600.

The previous prime is 317103565142431. The next prime is 317103565142473. The reversal of 317103565142436 is 634241565301713.

It is a super-3 number, since 3×3171035651424363 (a number of 44 digits) contains 333 as substring.

It is a hoax number, since the sum of its digits (51) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (317103565142431) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 32082171 + ... + 40785693.

It is an arithmetic number, because the mean of its divisors is an integer number (8128325505888).

Almost surely, 2317103565142436 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 317103565142436, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (390159624282624).

317103565142436 is an abundant number, since it is smaller than the sum of its proper divisors (463215683422812).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

317103565142436 is a wasteful number, since it uses less digits than its factorization.

317103565142436 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8704961 (or 8704959 counting only the distinct ones).

The product of its (nonzero) digits is 5443200, while the sum is 51.

The spelling of 317103565142436 in words is "three hundred seventeen trillion, one hundred three billion, five hundred sixty-five million, one hundred forty-two thousand, four hundred thirty-six".

Divisors: 1 2 3 4 6 12 23 46 69 92 101 138 202 276 303 404 606 1212 1307 2323 2614 3921 4646 5228 6969 7842 9292 13938 15684 27876 30061 60122 90183 120244 132007 180366 264014 360732 396021 528028 792042 1584084 3036161 6072322 8703523 9108483 12144644 17407046 18216966 26110569 34814092 36433932 52221138 104442276 200181029 400362058 600543087 800724116 879055823 1201086174 1758111646 2402172348 2637167469 3516223292 5274334938 10548669876 11375504561 20218283929 22751009122 34126513683 40436567858 45502018244 60654851787 68253027366 80873135716 121309703574 136506054732 242619407148 261636604903 523273209806 784909814709 1046546419612 1148925960661 1569819629418 2297851921322 3139639258836 3446777881983 4595703842644 6893555763966 13787111527932 26425297095203 52850594190406 79275891285609 105701188380812 158551782571218 317103565142436