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42132423124 = 22112355724473
BaseRepresentation
bin100111001111010010…
…011100000111010100
311000202021120212002201
4213033102130013110
51142241400014444
631204432014244
73021036454561
oct471722340724
9130667525081
1042132423124
1116960722100
1281ba091384
133c85ab32ac
142079897868
151168d05dd4
hex9cf49c1d4

42132423124 has 36 divisors (see below), whose sum is σ = 81070076052. Its totient is φ = 19144935040.

The previous prime is 42132423103. The next prime is 42132423139.

42132423124 is nontrivially palindromic in base 10.

42132423124 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 18544992400 + 23587430724 = 136180^2 + 153582^2 .

It is a junction number, because it is equal to n+sod(n) for n = 42132423092 and 42132423101.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1709352 + ... + 1733824.

It is an arithmetic number, because the mean of its divisors is an integer number (2251946557).

Almost surely, 242132423124 is an apocalyptic number.

42132423124 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

42132423124 is a deficient number, since it is larger than the sum of its proper divisors (38937652928).

42132423124 is a wasteful number, since it uses less digits than its factorization.

42132423124 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28056 (or 28043 counting only the distinct ones).

The product of its digits is 9216, while the sum is 28.

The spelling of 42132423124 in words is "forty-two billion, one hundred thirty-two million, four hundred twenty-three thousand, one hundred twenty-four".

Divisors: 1 2 4 11 22 44 121 242 484 3557 7114 14228 24473 39127 48946 78254 97892 156508 269203 430397 538406 860794 1076812 1721588 2961233 5922466 11844932 87050461 174100922 348201844 957555071 1915110142 3830220284 10533105781 21066211562 42132423124