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34228124073 = 3411134762873
BaseRepresentation
bin11111111000001001…
…111011100110101001
310021100102020212020000
4133320021323212221
51030044344432243
623420231253213
72321130153123
oct377011734651
9107312225200
1034228124073
111357497a250
126772b1a209
1332c6339c70
141929bc2213
15d54e115d3
hex7f827b9a9

34228124073 has 80 divisors (see below), whose sum is σ = 61348928256. Its totient is φ = 18740885760.

The previous prime is 34228124011. The next prime is 34228124081. The reversal of 34228124073 is 37042182243.

It is a happy number.

34228124073 is a `hidden beast` number, since 342 + 2 + 8 + 1 + 240 + 73 = 666.

It is not a de Polignac number, because 34228124073 - 28 = 34228123817 is a prime.

It is not an unprimeable number, because it can be changed into a prime (34228126073) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 512965 + ... + 575837.

Almost surely, 234228124073 is an apocalyptic number.

34228124073 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

It is an amenable number.

34228124073 is a deficient number, since it is larger than the sum of its proper divisors (27120804183).

34228124073 is a wasteful number, since it uses less digits than its factorization.

34228124073 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62956 (or 62947 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 36.

The spelling of 34228124073 in words is "thirty-four billion, two hundred twenty-eight million, one hundred twenty-four thousand, seventy-three".

Divisors: 1 3 9 11 13 27 33 39 47 81 99 117 141 143 297 351 423 429 517 611 891 1053 1269 1287 1551 1833 3807 3861 4653 5499 6721 11583 13959 16497 20163 41877 49491 60489 62873 181467 188619 544401 565857 691603 817349 1697571 2074809 2452047 2955031 5092713 6224427 7356141 8865093 8990839 18673281 22068423 26595279 26972517 32505341 38415403 56019843 66205269 79785837 80917551 97516023 115246209 239357511 242752653 292548069 345738627 422569433 728257959 877644207 1037215881 1267708299 2632932621 3111647643 3803124897 11409374691 34228124073