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231710971040640 = 27335721322955837
BaseRepresentation
bin110100101011110101101010…
…000111101001001110000000
31010101102100111222012020202000
4310223311222013221032000
5220332323032041300030
62140450314532024000
766543364603626600
oct6453655207511600
91111370458166660
10231710971040640
1167915086507123
1221ba317b462000
139c3a33505bb00
144130c29810c00
151bbc502905860
hexd2bd6a1e9380

231710971040640 has 2304 divisors, whose sum is σ = 1069371182808000. Its totient is φ = 47201813987328.

The previous prime is 231710971040597. The next prime is 231710971040687. The reversal of 231710971040640 is 46040179017132.

It is a happy number.

231710971040640 is a `hidden beast` number, since 2 + 3 + 171 + 0 + 9 + 71 + 0 + 406 + 4 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 4149746802 + ... + 4149802638.

Almost surely, 2231710971040640 is an apocalyptic number.

231710971040640 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 231710971040640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (534685591404000).

231710971040640 is an abundant number, since it is smaller than the sum of its proper divisors (837660211767360).

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

231710971040640 is a wasteful number, since it uses less digits than its factorization.

231710971040640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55934 (or 55896 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 45.

The spelling of 231710971040640 in words is "two hundred thirty-one trillion, seven hundred ten billion, nine hundred seventy-one million, forty thousand, six hundred forty".