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34515051144 = 2337434777831
BaseRepresentation
bin100000001001010000…
…011110001010001000
310022002102011021011120
4200021100132022020
51031141323114034
623504521155240
72331213044160
oct401120361210
9108072137146
1034515051144
1113701934862
12683302bb20
13334090b5b2
141955d515a0
15d701dbc49
hex80941e288

34515051144 has 64 divisors (see below), whose sum is σ = 100907811840. Its totient is φ = 9632105280.

The previous prime is 34515051121. The next prime is 34515051161. The reversal of 34515051144 is 44115051543.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2381692 + ... + 2396139.

It is an arithmetic number, because the mean of its divisors is an integer number (1576684560).

Almost surely, 234515051144 is an apocalyptic number.

It is an amenable number.

34515051144 is an abundant number, since it is smaller than the sum of its proper divisors (66392760696).

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

34515051144 is a wasteful number, since it uses less digits than its factorization.

34515051144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4777890 (or 4777886 counting only the distinct ones).

The product of its (nonzero) digits is 24000, while the sum is 33.

The spelling of 34515051144 in words is "thirty-four billion, five hundred fifteen million, fifty-one thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 43 56 84 86 129 168 172 258 301 344 516 602 903 1032 1204 1806 2408 3612 7224 4777831 9555662 14333493 19111324 28666986 33444817 38222648 57333972 66889634 100334451 114667944 133779268 200668902 205446733 267558536 401337804 410893466 616340199 802675608 821786932 1232680398 1438127131 1643573864 2465360796 2876254262 4314381393 4930721592 5752508524 8628762786 11505017048 17257525572 34515051144