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34144008108 = 2237258068041
BaseRepresentation
bin11111110011001001…
…000011011110101100
310021010112222022210220
4133303021003132230
51024411331224413
623404024331340
72316056165100
oct376311033654
9107115868726
1034144008108
1113531447721
12674a913b50
1332b1a982c2
14191c967900
15d4c848223
hex7f32437ac

34144008108 has 36 divisors (see below), whose sum is σ = 92676595032. Its totient is φ = 9755430720.

The previous prime is 34144008091. The next prime is 34144008137. The reversal of 34144008108 is 80180044143.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 29033433 + ... + 29034608.

It is an arithmetic number, because the mean of its divisors is an integer number (2574349862).

Almost surely, 234144008108 is an apocalyptic number.

It is an amenable number.

34144008108 is an abundant number, since it is smaller than the sum of its proper divisors (58532586924).

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

34144008108 is a wasteful number, since it uses less digits than its factorization.

34144008108 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58068062 (or 58068053 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 33.

The spelling of 34144008108 in words is "thirty-four billion, one hundred forty-four million, eight thousand, one hundred eight".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 49 84 98 147 196 294 588 58068041 116136082 174204123 232272164 348408246 406476287 696816492 812952574 1219428861 1625905148 2438857722 2845334009 4877715444 5690668018 8536002027 11381336036 17072004054 34144008108