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42043434024 = 23310117344651
BaseRepresentation
bin100111001001111110…
…111110010000101000
311000112002010202000010
4213021332332100220
51142101104342044
631151532411520
73015606202254
oct471176762050
9130462122003
1042043434024
1116915471299
128194316ba0
133c70526517
14206bb31264
1511610c8bb9
hex9c9fbe428

42043434024 has 32 divisors (see below), whose sum is σ = 106149270240. Its totient is φ = 13875720000.

The previous prime is 42043433989. The next prime is 42043434031.

42043434024 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 42043433982 and 42043434000.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 8669902 + ... + 8674749.

It is an arithmetic number, because the mean of its divisors is an integer number (3317164695).

Almost surely, 242043434024 is an apocalyptic number.

It is an amenable number.

42043434024 is an abundant number, since it is smaller than the sum of its proper divisors (64105836216).

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

42043434024 is a wasteful number, since it uses less digits than its factorization.

42043434024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17344761 (or 17344757 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 30.

The spelling of 42043434024 in words is "forty-two billion, forty-three million, four hundred thirty-four thousand, twenty-four".

Divisors: 1 2 3 4 6 8 12 24 101 202 303 404 606 808 1212 2424 17344651 34689302 52033953 69378604 104067906 138757208 208135812 416271624 1751809751 3503619502 5255429253 7007239004 10510858506 14014478008 21021717012 42043434024