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42312230031120 = 24357671074018761
BaseRepresentation
bin10011001111011100101010…
…11100001100111100010000
312112211000021001122211202020
421213232111130030330100
521021220421341443440
6225553545314251440
711624646335033520
oct1147562534147420
9175730231584666
1042312230031120
1112533574858595
1248b4488286b80
131a7c04566272a
14a63ccc487680
154d5988e163d0
hex267b9570cf10

42312230031120 has 640 divisors, whose sum is σ = 153966023258112. Its totient is φ = 9413369856000.

The previous prime is 42312230031107. The next prime is 42312230031157. The reversal of 42312230031120 is 2113003221324.

42312230031120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 4829607540 + ... + 4829616300.

Almost surely, 242312230031120 is an apocalyptic number.

42312230031120 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 42312230031120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76983011629056).

42312230031120 is an abundant number, since it is smaller than the sum of its proper divisors (111653793226992).

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

42312230031120 is a wasteful number, since it uses less digits than its factorization.

42312230031120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9359 (or 9353 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 42312230031120 its reverse (2113003221324), we get a palindrome (44425233252444).

The spelling of 42312230031120 in words is "forty-two trillion, three hundred twelve billion, two hundred thirty million, thirty-one thousand, one hundred twenty".