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34134536403 = 3311270742457
BaseRepresentation
bin11111110010100100…
…111011000011010011
310021002220011010002000
4133302210323003103
51024401420131103
623403045325043
72315612525562
oct376244730323
9107086133060
1034134536403
1113527068470
126747706783
1332acb30046
14191b5bdbd9
15d4bac6aa3
hex7f293b0d3

34134536403 has 32 divisors (see below), whose sum is σ = 55188606720. Its totient is φ = 20679468480.

The previous prime is 34134536377. The next prime is 34134536437. The reversal of 34134536403 is 30463543143.

34134536403 is a `hidden beast` number, since 3 + 4 + 1 + 3 + 4 + 5 + 3 + 640 + 3 = 666.

It is not a de Polignac number, because 34134536403 - 26 = 34134536339 is a prime.

It is not an unprimeable number, because it can be changed into a prime (34134536473) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 782751 + ... + 825207.

It is an arithmetic number, because the mean of its divisors is an integer number (1724643960).

Almost surely, 234134536403 is an apocalyptic number.

34134536403 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

34134536403 is a deficient number, since it is larger than the sum of its proper divisors (21054070317).

34134536403 is a wasteful number, since it uses less digits than its factorization.

34134536403 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45184 (or 45178 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 36.

The spelling of 34134536403 in words is "thirty-four billion, one hundred thirty-four million, five hundred thirty-six thousand, four hundred three".

Divisors: 1 3 9 11 27 33 99 297 2707 8121 24363 29777 42457 73089 89331 127371 267993 382113 467027 803979 1146339 1401081 4203243 12609729 114931099 344793297 1034379891 1264242089 3103139673 3792726267 11378178801 34134536403