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131414042014320 = 24351342119885261
BaseRepresentation
bin11101111000010100110111…
…010010101111001001110000
3122020022001121112112022122010
4131320110313102233021300
5114211041424223424240
61143254435533442520
736452231316415002
oct3570246722571160
9566261545468563
10131414042014320
113896642283a72a
12128a4b08940440
1358433a23bb570
14246468b69a372
15102d5aa38a280
hex7785374af270

131414042014320 has 80 divisors (see below), whose sum is σ = 438720724888992. Its totient is φ = 32348071879680.

The previous prime is 131414042014309. The next prime is 131414042014363. The reversal of 131414042014320 is 23410240414131.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21059939511 + ... + 21059945750.

Almost surely, 2131414042014320 is an apocalyptic number.

131414042014320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131414042014320 is an abundant number, since it is smaller than the sum of its proper divisors (307306682874672).

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

131414042014320 is a wasteful number, since it uses less digits than its factorization.

131414042014320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42119885290 (or 42119885284 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 30.

Adding to 131414042014320 its reverse (23410240414131), we get a palindrome (154824282428451).

The spelling of 131414042014320 in words is "one hundred thirty-one trillion, four hundred fourteen billion, forty-two million, fourteen thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 20 24 26 30 39 40 48 52 60 65 78 80 104 120 130 156 195 208 240 260 312 390 520 624 780 1040 1560 3120 42119885261 84239770522 126359655783 168479541044 210599426305 252719311566 336959082088 421198852610 505438623132 547558508393 631798278915 673918164176 842397705220 1010877246264 1095117016786 1263596557830 1642675525179 1684795410440 2021754492528 2190234033572 2527193115660 2737792541965 3285351050358 3369590820880 4380468067144 5054386231320 5475585083930 6570702100716 8213377625895 8760936134288 10108772462640 10951170167860 13141404201432 16426755251790 21902340335720 26282808402864 32853510503580 43804680671440 65707021007160 131414042014320