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23914362240 = 273452331647
BaseRepresentation
bin10110010001011010…
…000011010110000000
32021201122002110210000
4112101122003112000
5342434034042430
614552555440000
71504422503466
oct262132032600
967648073700
1023914362240
11a16204133a
124774a56000
132341643b02
14122c106836
1594e726e60
hex591683580

23914362240 has 640 divisors, whose sum is σ = 92132536320. Its totient is φ = 5894000640.

The previous prime is 23914362239. The next prime is 23914362253. The reversal of 23914362240 is 4226341932.

23914362240 is a `hidden beast` number, since 2 + 391 + 43 + 6 + 224 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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 = 23914362195 and 23914362204.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 36961597 + ... + 36962243.

It is an arithmetic number, because the mean of its divisors is an integer number (143957088).

Almost surely, 223914362240 is an apocalyptic number.

23914362240 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 23914362240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46066268160).

23914362240 is an abundant number, since it is smaller than the sum of its proper divisors (68218174080).

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

23914362240 is a wasteful number, since it uses less digits than its factorization.

23914362240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 732 (or 711 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 36.

The spelling of 23914362240 in words is "twenty-three billion, nine hundred fourteen million, three hundred sixty-two thousand, two hundred forty".