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131404355253054 = 2321317791093836113
BaseRepresentation
bin11101111000001011110101…
…111010101011001100111110
3122020021010121110011212021100
4131320023311322223030332
5114210412104421044204
61143250154420513530
736451436264331342
oct3570136572531476
9566233543155240
10131404355253054
1138962301921604
12128a306484b8a6
1358424ba585970
14246400cd95622
15102d1dec53a39
hex7782f5eab33e

131404355253054 has 192 divisors, whose sum is σ = 331771689849600. Its totient is φ = 37227349426176.

The previous prime is 131404355253007. The next prime is 131404355253077. The reversal of 131404355253054 is 450352553404131.

131404355253054 is a `hidden beast` number, since 1 + 3 + 1 + 4 + 0 + 43 + 5 + 525 + 30 + 54 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 32336502 + ... + 36172614.

It is an arithmetic number, because the mean of its divisors is an integer number (1727977551300).

Almost surely, 2131404355253054 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 131404355253054, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165885844924800).

131404355253054 is an abundant number, since it is smaller than the sum of its proper divisors (200367334596546).

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

131404355253054 is a wasteful number, since it uses less digits than its factorization.

131404355253054 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3836339 (or 3836336 counting only the distinct ones).

The product of its (nonzero) digits is 2160000, while the sum is 45.

The spelling of 131404355253054 in words is "one hundred thirty-one trillion, four hundred four billion, three hundred fifty-five million, two hundred fifty-three thousand, fifty-four".