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131441402263144 = 23834014398631303
BaseRepresentation
bin11101111000101110010110…
…000101110011011001101000
3122020101200020022122222011011
4131320232112011303121220
5114212013442434410034
61143315202510513304
736454220323612201
oct3570562605633150
9566350208588134
10131441402263144
1138976a929a8616
12128aa283805834
135845b429031cc
142465b252b65a8
15102e15c380864
hex778b96173668

131441402263144 has 128 divisors (see below), whose sum is σ = 251096470732800. Its totient is φ = 64495022054400.

The previous prime is 131441402263117. The next prime is 131441402263147. The reversal of 131441402263144 is 441362204144131.

It is a junction number, because it is equal to n+sod(n) for n = 131441402263097 and 131441402263106.

It is not an unprimeable number, because it can be changed into a prime (131441402263147) 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, 100875979597 + ... + 100875980899.

It is an arithmetic number, because the mean of its divisors is an integer number (1961691177600).

Almost surely, 2131441402263144 is an apocalyptic number.

It is an amenable number.

131441402263144 is a deficient number, since it is larger than the sum of its proper divisors (119655068469656).

131441402263144 is a wasteful number, since it uses less digits than its factorization.

131441402263144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3095 (or 3091 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 40.

The spelling of 131441402263144 in words is "one hundred thirty-one trillion, four hundred forty-one billion, four hundred two million, two hundred sixty-three thousand, one hundred forty-four".

Divisors: 1 2 4 8 83 166 332 401 439 664 802 863 878 1303 1604 1726 1756 2606 3208 3452 3512 5212 6904 10424 33283 36437 66566 71629 72874 108149 133132 143258 145748 176039 216298 266264 286516 291496 346063 352078 378857 432596 522503 572017 573032 692126 704156 757714 865192 1045006 1124489 1144034 1384252 1408312 1515428 2090012 2248978 2288068 2768504 3030856 4180024 4497956 4576136 8995912 14611237 28723229 29222474 31445131 43367749 47477411 57446458 58444948 62890262 86735498 93332587 94954822 114892916 116889896 125780524 151921657 173470996 186665174 189909644 229378817 229785832 251561048 303843314 346941992 373330348 379819288 450920089 458757634 493650671 607686628 746660696 901840178 917515268 987301342 1215373256 1803680356 1835030536 1974602684 3607360712 3949205368 12609497531 19038441811 25218995062 37426367387 38076883622 40973005693 50437990124 74852734774 76153767244 81946011386 100875980248 149705469548 152307534488 163892022772 197953919071 299410939096 327784045544 395907838142 791815676284 1583631352568 16430175282893 32860350565786 65720701131572 131441402263144