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23230531293840 = 24345134173199463
BaseRepresentation
bin1010100100000110001111…
…00100001101001010010000
310001020211001200000220010000
411102003013210031022100
511021102112002400330
6121223543031210000
74615231135653333
oct522030744151220
9101224050026100
1023230531293840
117447016329962
122732295b16900
13cc68255b8b40
145a451406061a
152a442d123560
hex1520c790d290

23230531293840 has 1600 divisors, whose sum is σ = 90877283481600. Its totient is φ = 5462917447680.

The previous prime is 23230531293803. The next prime is 23230531293863. The reversal of 23230531293840 is 4839213503232.

23230531293840 is a `hidden beast` number, since 2 + 3 + 2 + 30 + 531 + 2 + 9 + 3 + 84 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 50173933449 + ... + 50173933911.

It is an arithmetic number, because the mean of its divisors is an integer number (56798302176).

Almost surely, 223230531293840 is an apocalyptic number.

23230531293840 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 23230531293840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45438641740800).

23230531293840 is an abundant number, since it is smaller than the sum of its proper divisors (67646752187760).

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

23230531293840 is a wasteful number, since it uses less digits than its factorization.

23230531293840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 814 (or 799 counting only the distinct ones).

The product of its (nonzero) digits is 933120, while the sum is 45.

The spelling of 23230531293840 in words is "twenty-three trillion, two hundred thirty billion, five hundred thirty-one million, two hundred ninety-three thousand, eight hundred forty".