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34013545146 = 23271414919079
BaseRepresentation
bin11111101011010111…
…011000001010111010
310020210110111010021100
4133223113120022322
51024124431421041
623343044152230
72312613235440
oct375327301272
9106713433240
1034013545146
1113474839999
126713098676
133290a49b99
1419094c6b90
15d411776b6
hex7eb5d82ba

34013545146 has 48 divisors (see below), whose sum is σ = 84234384000. Its totient is φ = 9716959584.

The previous prime is 34013545133. The next prime is 34013545169. The reversal of 34013545146 is 64154531043.

34013545146 is a `hidden beast` number, since 3 + 4 + 0 + 135 + 4 + 514 + 6 = 666.

It is a super-2 number, since 2×340135451462 (a number of 22 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 34013545146.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1773235 + ... + 1792313.

It is an arithmetic number, because the mean of its divisors is an integer number (1754883000).

Almost surely, 234013545146 is an apocalyptic number.

34013545146 is an abundant number, since it is smaller than the sum of its proper divisors (50220838854).

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

34013545146 is a wasteful number, since it uses less digits than its factorization.

34013545146 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33243 (or 33240 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

The spelling of 34013545146 in words is "thirty-four billion, thirteen million, five hundred forty-five thousand, one hundred forty-six".

Divisors: 1 2 3 6 7 9 14 18 21 42 63 126 14149 19079 28298 38158 42447 57237 84894 99043 114474 127341 133553 171711 198086 254682 267106 297129 343422 400659 594258 801318 891387 1201977 1782774 2403954 269948771 539897542 809846313 1619692626 1889641397 2429538939 3779282794 4859077878 5668924191 11337848382 17006772573 34013545146