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131404120134144 = 29311132326010811
BaseRepresentation
bin11101111000001011100111…
…111001110001001000000000
3122020021010000001202120202120
4131320023213321301020000
5114210411114223243034
61143250115221244240
736451430411005434
oct3570134771611000
9566233001676676
10131404120134144
11389621a1132260
12128a2bb9b63680
135842480953750
142463dc9a709c4
15102d1c92adc49
hex7782e7e71200

131404120134144 has 320 divisors, whose sum is σ = 429150930582528. Its totient is φ = 35158291660800.

The previous prime is 131404120134143. The next prime is 131404120134187. The reversal of 131404120134144 is 441431021404131.

It is a super-2 number, since 2×1314041201341442 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (131404120134143) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7953502 + ... + 18057309.

Almost surely, 2131404120134144 is an apocalyptic number.

It is an amenable number.

131404120134144 is an abundant number, since it is smaller than the sum of its proper divisors (297746810448384).

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

131404120134144 is a wasteful number, since it uses less digits than its factorization.

131404120134144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26010879 (or 26010863 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 33.

Adding to 131404120134144 its reverse (441431021404131), we get a palindrome (572835141538275).

The spelling of 131404120134144 in words is "one hundred thirty-one trillion, four hundred four billion, one hundred twenty million, one hundred thirty-four thousand, one hundred forty-four".