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40231874304 = 283253571577
BaseRepresentation
bin100101011110000000…
…011010111100000000
310211211211100222020200
4211132000122330000
51124343324434204
630252100405200
72622661201116
oct453600327400
9124754328220
1040231874304
11160759316a6
1279696a6800
133a421199ab
141d392c9ab6
1510a703a539
hex95e01af00

40231874304 has 216 divisors, whose sum is σ = 118599232752. Its totient is φ = 13111787520.

The previous prime is 40231874257. The next prime is 40231874317. The reversal of 40231874304 is 40347813204.

40231874304 is a `hidden beast` number, since 40 + 2 + 3 + 187 + 430 + 4 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 69725664 + ... + 69726240.

It is an arithmetic number, because the mean of its divisors is an integer number (549070522).

Almost surely, 240231874304 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 40231874304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59299616376).

40231874304 is an abundant number, since it is smaller than the sum of its proper divisors (78367358448).

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

40231874304 is a wasteful number, since it uses less digits than its factorization.

40231874304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1223 (or 1206 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 36.

The spelling of 40231874304 in words is "forty billion, two hundred thirty-one million, eight hundred seventy-four thousand, three hundred four".