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131414044414432 = 25131433220446019
BaseRepresentation
bin11101111000010100110111…
…011011111001000111100000
3122020022001121201001020222011
4131320110313123321013200
5114211041430332230212
61143254440101122304
736452231346002263
oct3570246733710740
9566261551036864
10131414044414432
113896642412999a
12128a4b096b9394
1358433a2a4bb50
14246468bb22cda
15102d5aa6b14a7
hex7785376f91e0

131414044414432 has 48 divisors (see below), whose sum is σ = 278817480743760. Its totient is φ = 60610309972992.

The previous prime is 131414044414423. The next prime is 131414044414441. The reversal of 131414044414432 is 234414440414131.

It is an interprime number because it is at equal distance from previous prime (131414044414423) and next prime (131414044414441).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 109626882 + ... + 110819137.

It is an arithmetic number, because the mean of its divisors is an integer number (5808697515495).

Almost surely, 2131414044414432 is an apocalyptic number.

It is an amenable number.

131414044414432 is an abundant number, since it is smaller than the sum of its proper divisors (147403436329328).

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

131414044414432 is a wasteful number, since it uses less digits than its factorization.

131414044414432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 220447475 (or 220447467 counting only the distinct ones).

The product of its (nonzero) digits is 294912, while the sum is 40.

Adding to 131414044414432 its reverse (234414440414131), we get a palindrome (365828484828563).

The spelling of 131414044414432 in words is "one hundred thirty-one trillion, four hundred fourteen billion, forty-four million, four hundred fourteen thousand, four hundred thirty-two".

Divisors: 1 2 4 8 13 16 26 32 52 104 208 416 1433 2866 5732 11464 18629 22928 37258 45856 74516 149032 298064 596128 220446019 440892038 881784076 1763568152 2865798247 3527136304 5731596494 7054272608 11463192988 22926385976 45852771952 91705543904 315899145227 631798290454 1263596580908 2527193161816 4106688887951 5054386323632 8213377775902 10108772647264 16426755551804 32853511103608 65707022207216 131414044414432