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231847331040 = 253251322954083
BaseRepresentation
bin1101011111101100101…
…1011000010011100000
3211011102211122201122200
43113323023120103200
512244310404043130
6254301552533200
722515251540433
oct3277313302340
9734384581580
10231847331040
118a3648573a6
1238b25251200
1318b2b336960
14b315a0381a
15606e355760
hex35fb2d84e0

231847331040 has 288 divisors, whose sum is σ = 855775458720. Its totient is φ = 56819847168.

The previous prime is 231847331021. The next prime is 231847331063. The reversal of 231847331040 is 40133748132.

231847331040 is a `hidden beast` number, since 2 + 318 + 4 + 7 + 331 + 0 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a junction number, because it is equal to n+sod(n) for n = 231847330986 and 231847331004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4259839 + ... + 4313921.

It is an arithmetic number, because the mean of its divisors is an integer number (2971442565).

Almost surely, 2231847331040 is an apocalyptic number.

231847331040 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 231847331040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (427887729360).

231847331040 is an abundant number, since it is smaller than the sum of its proper divisors (623928127680).

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

231847331040 is a wasteful number, since it uses less digits than its factorization.

231847331040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54346 (or 54335 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The spelling of 231847331040 in words is "two hundred thirty-one billion, eight hundred forty-seven million, three hundred thirty-one thousand, forty".