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131443635401172 = 22333992930480871
BaseRepresentation
bin11101111000110000011011…
…001100100011000111010100
3122020101212222221201010122000
4131320300123030203013110
5114212033031130314142
61143320212242435300
736454326551146533
oct3570603314430724
9566355887633560
10131443635401172
1138977a29501236
12128aa7a7662b30
13584610a467c63
142465c97adc31a
15102e23d44614c
hex778c1b3231d4

131443635401172 has 48 divisors (see below), whose sum is σ = 340788341308800. Its totient is φ = 43813446384960.

The previous prime is 131443635401149. The next prime is 131443635401173. The reversal of 131443635401172 is 271104536344131.

It is a happy number.

131443635401172 is a `hidden beast` number, since 1 + 3 + 1 + 4 + 4 + 3 + 635 + 4 + 0 + 1 + 1 + 7 + 2 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131443635401173) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10928104 + ... + 19552767.

It is an arithmetic number, because the mean of its divisors is an integer number (7099757110600).

Almost surely, 2131443635401172 is an apocalyptic number.

131443635401172 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

131443635401172 is an abundant number, since it is smaller than the sum of its proper divisors (209344705907628).

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

131443635401172 is a wasteful number, since it uses less digits than its factorization.

131443635401172 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30520813 (or 30520805 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The spelling of 131443635401172 in words is "one hundred thirty-one trillion, four hundred forty-three billion, six hundred thirty-five million, four hundred one thousand, one hundred seventy-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 39929 79858 119787 159716 239574 359361 479148 718722 1078083 1437444 2156166 4312332 30480871 60961742 91442613 121923484 182885226 274327839 365770452 548655678 822983517 1097311356 1645967034 3291934068 1217070698159 2434141396318 3651212094477 4868282792636 7302424188954 10953636283431 14604848377908 21907272566862 32860908850293 43814545133724 65721817700586 131443635401172