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131414104420032 = 2637214993747221
BaseRepresentation
bin11101111000010100111011…
…000000110010111011000000
3122020022001202212221212011210
4131320110323000302323000
5114211042041212420112
61143254450043210120
736452233005021600
oct3570247300627300
9566261685855153
10131414104420032
1138966454a93aa5
12128a4b25816940
1358433b22cb515
142464695aa2c00
15102d5b0ab5b3c
hex77853b032ec0

131414104420032 has 168 divisors, whose sum is σ = 407181684034800. Its totient is φ = 37294894049280.

The previous prime is 131414104420013. The next prime is 131414104420043. The reversal of 131414104420032 is 230024401414131.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (168).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 45471819 + ... + 48275402.

Almost surely, 2131414104420032 is an apocalyptic number.

131414104420032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

131414104420032 is an abundant number, since it is smaller than the sum of its proper divisors (275767579614768).

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

131414104420032 is a wasteful number, since it uses less digits than its factorization.

131414104420032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93747399 (or 93747382 counting only the distinct ones).

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

Adding to 131414104420032 its reverse (230024401414131), we get a palindrome (361438505834163).

The spelling of 131414104420032 in words is "one hundred thirty-one trillion, four hundred fourteen billion, one hundred four million, four hundred twenty thousand, thirty-two".