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34158120408 = 23324144925771
BaseRepresentation
bin11111110011111110…
…111000110111011000
310021011112112022020200
4133303332320313120
51024423434323113
623405251022200
72316320142606
oct376376706730
9107145468220
1034158120408
1113539406485
12675359a960
1332b4999889
14192079c876
15d4dbd4873
hex7f3fb8dd8

34158120408 has 96 divisors (see below), whose sum is σ = 94982706000. Its totient is φ = 11083161600.

The previous prime is 34158120389. The next prime is 34158120439. The reversal of 34158120408 is 80402185143.

34158120408 is a `hidden beast` number, since 34 + 1 + 581 + 2 + 0 + 40 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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, 1312563 + ... + 1338333.

Almost surely, 234158120408 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34158120408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47491353000).

34158120408 is an abundant number, since it is smaller than the sum of its proper divisors (60824585592).

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

34158120408 is a wasteful number, since it uses less digits than its factorization.

34158120408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26273 (or 26266 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The spelling of 34158120408 in words is "thirty-four billion, one hundred fifty-eight million, one hundred twenty thousand, four hundred eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 41 72 82 123 164 246 328 369 449 492 738 898 984 1347 1476 1796 2694 2952 3592 4041 5388 8082 10776 16164 18409 25771 32328 36818 51542 55227 73636 77313 103084 110454 147272 154626 165681 206168 220908 231939 309252 331362 441816 463878 618504 662724 927756 1056611 1325448 1855512 2113222 3169833 4226444 6339666 8452888 9509499 11571179 12679332 19018998 23142358 25358664 34713537 38037996 46284716 69427074 76075992 92569432 104140611 138854148 208281222 277708296 416562444 474418339 833124888 948836678 1423255017 1897673356 2846510034 3795346712 4269765051 5693020068 8539530102 11386040136 17079060204 34158120408