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31140238248 = 23327971075953
BaseRepresentation
bin11101000000000110…
…100101001110101000
32222101012212000012100
4131000012211032220
51002233400110443
622150003213400
72151453441420
oct350006451650
988335760170
1031140238248
111222a941999
126050977260
132c23693ba2
141715a5d480
15c23cac3d3
hex7401a53a8

31140238248 has 192 divisors, whose sum is σ = 98306732160. Its totient is φ = 8721727488.

The previous prime is 31140238247. The next prime is 31140238253. The reversal of 31140238248 is 84283204113.

It is a happy number.

31140238248 is a `hidden beast` number, since 3 + 1 + 1 + 402 + 3 + 8 + 248 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (31140238247) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5228040 + ... + 5233992.

It is an arithmetic number, because the mean of its divisors is an integer number (512014230).

Almost surely, 231140238248 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31140238248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49153366080).

31140238248 is an abundant number, since it is smaller than the sum of its proper divisors (67166493912).

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

31140238248 is a wasteful number, since it uses less digits than its factorization.

31140238248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6176 (or 6169 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The spelling of 31140238248 in words is "thirty-one billion, one hundred forty million, two hundred thirty-eight thousand, two hundred forty-eight".