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131414120311242 = 23157113941663517
BaseRepresentation
bin11101111000010100111011…
…111101011010100111001010
3122020022001210222212012211010
4131320110323331122213022
5114211042104244424432
61143254451411544350
736452233260055626
oct3570247375324712
9566261728765733
10131414120311242
1138966462a5832a
12128a4b2abbb0b6
1358433b56a36c2
142464697c3c186
15102d5b21a43cc
hex77853bf5a9ca

131414120311242 has 16 divisors (see below), whose sum is σ = 262995540603552. Its totient is φ = 43776823440240.

The previous prime is 131414120311231. The next prime is 131414120311291. The reversal of 131414120311242 is 242113021414131.

It is a super-3 number, since 3×1314141203112423 (a number of 43 digits) contains 333 as substring.

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, 6970822333 + ... + 6970841184.

It is an arithmetic number, because the mean of its divisors is an integer number (16437221287722).

Almost surely, 2131414120311242 is an apocalyptic number.

131414120311242 is an abundant number, since it is smaller than the sum of its proper divisors (131581420292310).

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

131414120311242 is a wasteful number, since it uses less digits than its factorization.

131414120311242 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13941665093.

The product of its (nonzero) digits is 4608, while the sum is 30.

Adding to 131414120311242 its reverse (242113021414131), we get a palindrome (373527141725373).

The spelling of 131414120311242 in words is "one hundred thirty-one trillion, four hundred fourteen billion, one hundred twenty million, three hundred eleven thousand, two hundred forty-two".

Divisors: 1 2 3 6 1571 3142 4713 9426 13941663517 27883327034 41824990551 83649981102 21902353385207 43804706770414 65707060155621 131414120311242