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34145052325 = 52471011491931
BaseRepresentation
bin11111110011001101…
…000010011010100101
310021010121221101012121
4133303031002122211
51024412113133300
623404102545541
72316101104336
oct376315023245
9107117841177
1034145052325
1113531aa020a
12674b1382b1
1332b2072697
14191cb5a28d
15d4c9a281a
hex7f33426a5

34145052325 has 48 divisors (see below), whose sum is σ = 43984684800. Its totient is φ = 26278880000.

The previous prime is 34145052311. The next prime is 34145052343. The reversal of 34145052325 is 52325054143.

It is not a de Polignac number, because 34145052325 - 217 = 34144921253 is a prime.

It is an alternating number because its digits alternate between odd and even.

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 17681610 + ... + 17683540.

It is an arithmetic number, because the mean of its divisors is an integer number (916347600).

Almost surely, 234145052325 is an apocalyptic number.

It is an amenable number.

34145052325 is a deficient number, since it is larger than the sum of its proper divisors (9839632475).

34145052325 is a wasteful number, since it uses less digits than its factorization.

34145052325 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2238 (or 2233 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 34.

The spelling of 34145052325 in words is "thirty-four billion, one hundred forty-five million, fifty-two thousand, three hundred twenty-five".

Divisors: 1 5 25 47 101 149 235 505 745 1175 1931 2525 3725 4747 7003 9655 15049 23735 35015 48275 75245 90757 118675 175075 195031 287719 376225 453785 707303 975155 1438595 2268925 3536515 4875775 7192975 9166457 13522793 17682575 29059619 45832285 67613965 145298095 229161425 338069825 726490475 1365802093 6829010465 34145052325