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42557322024 = 23337241101971
BaseRepresentation
bin100111101000100111…
…010011001100101000
311001211220002221211000
4213220213103030220
51144124133301044
631314531035000
73034416161100
oct475047231450
9131756087730
1042557322024
1117059553a18
1282b843ba60
134022b31a69
1420ba0a0200
151191286d69
hex9e89d3328

42557322024 has 384 divisors, whose sum is σ = 142410441600. Its totient is φ = 11733120000.

The previous prime is 42557322001. The next prime is 42557322053. The reversal of 42557322024 is 42022375524.

42557322024 is a `hidden beast` number, since 42 + 5 + 573 + 2 + 20 + 24 = 666.

It is a super-2 number, since 2×425573220242 (a number of 22 digits) contains 22 as substring.

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 self number, because there is not a number n which added to its sum of digits gives 42557322024.

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 95 ways as a sum of consecutive naturals, for example, 43827859 + ... + 43828829.

It is an arithmetic number, because the mean of its divisors is an integer number (370860525).

Almost surely, 242557322024 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42557322024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71205220800).

42557322024 is an abundant number, since it is smaller than the sum of its proper divisors (99853119576).

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

42557322024 is a wasteful number, since it uses less digits than its factorization.

42557322024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1142 (or 1125 counting only the distinct ones).

The product of its (nonzero) digits is 134400, while the sum is 36.

Adding to 42557322024 its reverse (42022375524), we get a palindrome (84579697548).

The spelling of 42557322024 in words is "forty-two billion, five hundred fifty-seven million, three hundred twenty-two thousand, twenty-four".