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42323401120 = 2557311135393
BaseRepresentation
bin100111011010101010…
…111101100110100000
311001020120221112122211
4213122222331212200
51143134242313440
631235413211504
73025545655000
oct473252754640
9131216845584
1042323401120
1116a49502760
128252030b94
133cb652bc20
142096dac000
15117a97beea
hex9daabd9a0

42323401120 has 384 divisors, whose sum is σ = 137016230400. Its totient is φ = 12174704640.

The previous prime is 42323401103. The next prime is 42323401123. The reversal of 42323401120 is 2110432324.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 42323401091 and 42323401100.

It is not an unprimeable number, because it can be changed into a prime (42323401123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7845144 + ... + 7850536.

It is an arithmetic number, because the mean of its divisors is an integer number (356813100).

Almost surely, 242323401120 is an apocalyptic number.

42323401120 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 42323401120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68508115200).

42323401120 is an abundant number, since it is smaller than the sum of its proper divisors (94692829280).

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

42323401120 is a wasteful number, since it uses less digits than its factorization.

42323401120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5453 (or 5431 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

Adding to 42323401120 its reverse (2110432324), we get a palindrome (44433833444).

The spelling of 42323401120 in words is "forty-two billion, three hundred twenty-three million, four hundred one thousand, one hundred twenty".