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23130039240 = 233457112329139
BaseRepresentation
bin10101100010101010…
…000110001111001000
32012200222020201220000
4111202222012033020
5334332242223430
614343101003000
71446120042510
oct254252061710
965628221800
1023130039240
11989a338910
124596253460
132247cbc769
141195c9c840
15905949e60
hex562a863c8

23130039240 has 1280 divisors, whose sum is σ = 105380352000. Its totient is φ = 4406814720.

The previous prime is 23130039239. The next prime is 23130039323. The reversal of 23130039240 is 4293003132.

It is a happy number.

23130039240 is a `hidden beast` number, since 231 + 3 + 0 + 0 + 392 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 166403091 + ... + 166403229.

It is an arithmetic number, because the mean of its divisors is an integer number (82328400).

Almost surely, 223130039240 is an apocalyptic number.

23130039240 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 23130039240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52690176000).

23130039240 is an abundant number, since it is smaller than the sum of its proper divisors (82250312760).

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

23130039240 is a wasteful number, since it uses less digits than its factorization.

23130039240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 232 (or 219 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

The spelling of 23130039240 in words is "twenty-three billion, one hundred thirty million, thirty-nine thousand, two hundred forty".