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34169413024 = 251762811421
BaseRepresentation
bin11111110100101001…
…111101110110100000
310021012022210000210201
4133310221331312200
51024434332204044
623410333034544
72316515134645
oct376451756640
9107168700721
1034169413024
111354481981a
126757325a54
1332b71218b6
14192209bdcc
15d4ebb57d4
hex7f4a7dda0

34169413024 has 24 divisors (see below), whose sum is σ = 71228152548. Its totient is φ = 16079723520.

The previous prime is 34169412967. The next prime is 34169413039. The reversal of 34169413024 is 42031496143.

It can be written as a sum of positive squares in 2 ways, for example, as 31947987600 + 2221425424 = 178740^2 + 47132^2 .

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, 31405167 + ... + 31406254.

Almost surely, 234169413024 is an apocalyptic number.

34169413024 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

It is an amenable number.

34169413024 is an abundant number, since it is smaller than the sum of its proper divisors (37058739524).

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

34169413024 is a wasteful number, since it uses less digits than its factorization.

34169413024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62811448 (or 62811440 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 37.

The spelling of 34169413024 in words is "thirty-four billion, one hundred sixty-nine million, four hundred thirteen thousand, twenty-four".

Divisors: 1 2 4 8 16 17 32 34 68 136 272 544 62811421 125622842 251245684 502491368 1004982736 1067794157 2009965472 2135588314 4271176628 8542353256 17084706512 34169413024