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231454012654080 = 29335137130718701
BaseRepresentation
bin110100101000000110010110…
…001101001100001000000000
31010100111210021002122201202000
4310220012112031030020000
5220314120304214412310
62140132301110024000
766516000125445546
oct6450062615141000
91110453232581660
10231454012654080
1167826106171087
1221b61408648000
139c1c0344a7028
144122610bd5d96
151bb59b3c924c0
hexd2819634c200

231454012654080 has 640 divisors, whose sum is σ = 828822931580160. Its totient is φ = 61220398694400.

The previous prime is 231454012654021. The next prime is 231454012654097. The reversal of 231454012654080 is 80456210454132.

231454012654080 is a `hidden beast` number, since 2 + 3 + 1 + 4 + 5 + 4 + 0 + 1 + 26 + 540 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 12376548730 + ... + 12376567430.

It is an arithmetic number, because the mean of its divisors is an integer number (1295035830594).

Almost surely, 2231454012654080 is an apocalyptic number.

231454012654080 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 231454012654080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (414411465790080).

231454012654080 is an abundant number, since it is smaller than the sum of its proper divisors (597368918926080).

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

231454012654080 is a wasteful number, since it uses less digits than its factorization.

231454012654080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20177 (or 20155 counting only the distinct ones).

The product of its (nonzero) digits is 921600, while the sum is 45.

The spelling of 231454012654080 in words is "two hundred thirty-one trillion, four hundred fifty-four billion, twelve million, six hundred fifty-four thousand, eighty".