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34457441075 = 5259229102013
BaseRepresentation
bin100000000101110100…
…101101001100110011
310021221101202101000022
4200011310231030303
51031032101103300
623455102314055
72326613262611
oct400564551463
9107841671008
1034457441075
1113682366532
12681788892b
1333319ba3b5
14194c4366b1
15d6a10c285
hex805d2d333

34457441075 has 24 divisors (see below), whose sum is σ = 43641589200. Its totient is φ = 26980133760.

The previous prime is 34457441071. The next prime is 34457441131. The reversal of 34457441075 is 57014475443.

It is not a de Polignac number, because 34457441075 - 22 = 34457441071 is a prime.

It is a Smith number, since the sum of its digits (44) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (34457441071) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 286769 + ... + 388781.

It is an arithmetic number, because the mean of its divisors is an integer number (1818399550).

Almost surely, 234457441075 is an apocalyptic number.

34457441075 is a deficient number, since it is larger than the sum of its proper divisors (9184148125).

34457441075 is a wasteful number, since it uses less digits than its factorization.

34457441075 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102311 (or 102306 counting only the distinct ones).

The product of its (nonzero) digits is 940800, while the sum is 44.

The spelling of 34457441075 in words is "thirty-four billion, four hundred fifty-seven million, four hundred forty-one thousand, seventy-five".

Divisors: 1 5 25 59 229 295 1145 1475 5725 13511 67555 102013 337775 510065 2550325 6018767 23360977 30093835 116804885 150469175 584024425 1378297643 6891488215 34457441075