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42414002432 = 28295713093
BaseRepresentation
bin100111100000000100…
…100101000100000000
311001110220102120021222
4213200010211010000
51143330441034212
631252411134212
73031026033524
oct474004450400
9131426376258
1042414002432
1116a9566487a
128278444368
133ccc231779
1420a5033d84
1511838c6c72
hex9e0125100

42414002432 has 36 divisors (see below), whose sum is σ = 87581731020. Its totient is φ = 20475721728.

The previous prime is 42414002417. The next prime is 42414002447. The reversal of 42414002432 is 23420041424.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (42414002417) and next prime (42414002447).

It can be written as a sum of positive squares in 2 ways, for example, as 12576276736 + 29837725696 = 112144^2 + 172736^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2849123 + ... + 2863970.

Almost surely, 242414002432 is an apocalyptic number.

It is an amenable number.

42414002432 is an abundant number, since it is smaller than the sum of its proper divisors (45167728588).

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

42414002432 is an equidigital number, since it uses as much as digits as its factorization.

42414002432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5713138 (or 5713124 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 26.

Adding to 42414002432 its reverse (23420041424), we get a palindrome (65834043856).

The spelling of 42414002432 in words is "forty-two billion, four hundred fourteen million, two thousand, four hundred thirty-two".

Divisors: 1 2 4 8 16 29 32 58 64 116 128 232 256 464 928 1856 3712 7424 5713093 11426186 22852372 45704744 91409488 165679697 182818976 331359394 365637952 662718788 731275904 1325437576 1462551808 2650875152 5301750304 10603500608 21207001216 42414002432