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42331236232320 = 273557234339317
BaseRepresentation
bin10011010000000000000100…
…10011000110110010000000
312112212211022122011220100000
421220000002103012302000
521022023332433413240
6230010411303200000
711626221332055030
oct1150000223066200
9175784278156300
1042331236232320
1112540638309892
1248b80b1446000
131a80a84191929
14a64bb27978c0
154d61ec7c8430
hex2680024c6c80

42331236232320 has 1536 divisors, whose sum is σ = 184985691770880. Its totient is φ = 9039564914688.

The previous prime is 42331236232279. The next prime is 42331236232349. The reversal of 42331236232320 is 2323263213324.

42331236232320 is a `hidden beast` number, since 4 + 2 + 3 + 3 + 1 + 2 + 3 + 623 + 2 + 3 + 20 = 666.

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

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 191 ways as a sum of consecutive naturals, for example, 1076645302 + ... + 1076684618.

It is an arithmetic number, because the mean of its divisors is an integer number (120433393080).

Almost surely, 242331236232320 is an apocalyptic number.

42331236232320 is a gapful number since it is divisible by the number (40) 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 42331236232320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92492845885440).

42331236232320 is an abundant number, since it is smaller than the sum of its proper divisors (142654455538560).

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

42331236232320 is a wasteful number, since it uses less digits than its factorization.

42331236232320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39424 (or 39400 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 36.

Adding to 42331236232320 its reverse (2323263213324), we get a palindrome (44654499445644).

The spelling of 42331236232320 in words is "forty-two trillion, three hundred thirty-one billion, two hundred thirty-six million, two hundred thirty-two thousand, three hundred twenty".