Search a number
-
+
315631174131234 = 23413415037267243
BaseRepresentation
bin100011111000100001001110…
…0000000111001111000100010
31112101120001020012202222020000
41013301002130000321320202
5312332300121034144414
63035142543142000430
7123324412506400533
oct10761023400717042
91471501205688200
10315631174131234
119162a47a344815
122b497529716116
1310716b799818a0
1457d28b791468a
152675457a95b09
hex11f109c039e22

315631174131234 has 160 divisors (see below), whose sum is σ = 781779412681344. Its totient is φ = 94560190145280.

The previous prime is 315631174131181. The next prime is 315631174131239. The reversal of 315631174131234 is 432131471136513.

315631174131234 is a `hidden beast` number, since 3 + 1 + 5 + 6 + 311 + 74 + 1 + 31 + 234 = 666.

It is a super-2 number, since 2×3156311741312342 (a number of 30 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 315631174131234.

It is not an unprimeable number, because it can be changed into a prime (315631174131239) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 39798417 + ... + 47065659.

Almost surely, 2315631174131234 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 315631174131234, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (390889706340672).

315631174131234 is an abundant number, since it is smaller than the sum of its proper divisors (466148238550110).

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

315631174131234 is a wasteful number, since it uses less digits than its factorization.

315631174131234 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7267814 (or 7267805 counting only the distinct ones).

The product of its digits is 544320, while the sum is 45.

The spelling of 315631174131234 in words is "three hundred fifteen trillion, six hundred thirty-one billion, one hundred seventy-four million, one hundred thirty-one thousand, two hundred thirty-four".

Divisors: 1 2 3 6 9 13 18 26 27 39 41 54 78 81 82 117 123 162 234 246 351 369 503 533 702 738 1006 1053 1066 1107 1509 1599 2106 2214 3018 3198 3321 4527 4797 6539 6642 9054 9594 13078 13581 14391 19617 20623 27162 28782 39234 40743 41246 43173 58851 61869 81486 86346 117702 123738 176553 185607 268099 353106 371214 529659 536198 556821 804297 1059318 1113642 1608594 1670463 2412891 3340926 4825782 7238673 7267243 14477346 14534486 21716019 21801729 43432038 43603458 65405187 94474159 130810374 188948318 196215561 283422477 297956963 392431122 566844954 588646683 595913926 850267431 893870889 1177293366 1700534862 1787741778 2550802293 2681612667 3655423229 3873440519 5101604586 5363225334 7310846458 7652406879 7746881038 8044838001 10966269687 11620321557 15304813758 16089676002 21932539374 23240643114 24134514003 32898809061 34860964671 47520501977 48269028006 65797618122 69721929342 95041003954 98696427183 104582894013 142561505931 149872352389 197392854366 209165788026 285123011862 296089281549 299744704778 313748682039 427684517793 449617057167 592178563098 627497364078 855369035586 899234114334 1283053553379 1348851171501 1948340581057 2566107106758 2697702343002 3849160660137 3896681162114 4046553514503 5845021743171 7698321320274 8093107029006 11690043486342 12139660543509 17535065229513 24279321087018 35070130459026 52605195688539 105210391377078 157815587065617 315631174131234