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131141342144412 = 22329113998699297
BaseRepresentation
bin11101110100010110111001…
…000111010010011110011100
3122012022222201121121121000100
4131310112321013102132130
5114142104432042110122
61142525300105101100
736423435465646335
oct3564267107223634
9565288647547010
10131141342144412
113887080487a216
12128600a2187790
1358237634b55b2
1424553bc1a528c
151026449798aac
hex7745b91d279c

131141342144412 has 36 divisors (see below), whose sum is σ = 331860052139616. Its totient is φ = 43665796312320.

The previous prime is 131141342144399. The next prime is 131141342144447. The reversal of 131141342144412 is 214441243141131.

131141342144412 is a `hidden beast` number, since 1 + 3 + 1 + 14 + 13 + 4 + 214 + 4 + 412 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-4 number, since 4×1311413421444124 (a number of 58 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1999316853 + ... + 1999382444.

It is an arithmetic number, because the mean of its divisors is an integer number (9218334781656).

Almost surely, 2131141342144412 is an apocalyptic number.

131141342144412 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

131141342144412 is an abundant number, since it is smaller than the sum of its proper divisors (200718709995204).

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

131141342144412 is a wasteful number, since it uses less digits than its factorization.

131141342144412 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3998700218 (or 3998700213 counting only the distinct ones).

The product of its digits is 36864, while the sum is 36.

Adding to 131141342144412 its reverse (214441243141131), we get a palindrome (345582585285543).

The spelling of 131141342144412 in words is "one hundred thirty-one trillion, one hundred forty-one billion, three hundred forty-two million, one hundred forty-four thousand, four hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 36 911 1822 2733 3644 5466 8199 10932 16398 32796 3998699297 7997398594 11996097891 15994797188 23992195782 35988293673 47984391564 71976587346 143953174692 3642815059567 7285630119134 10928445178701 14571260238268 21856890357402 32785335536103 43713780714804 65570671072206 131141342144412