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136414426401 = 3411153102611
BaseRepresentation
bin111111100001011101…
…1101111010100100001
3111001002221210212110000
41333002323233110201
54213334043121101
6142400134330213
712566322330651
oct1770273572441
9431087725400
10136414426401
1152942429680
1222530ab9969
13cb2ca93406
146861356361
15383605e486
hex1fc2eef521

136414426401 has 20 divisors (see below), whose sum is σ = 222304992624. Its totient is φ = 82675409400.

The previous prime is 136414426303. The next prime is 136414426411. The reversal of 136414426401 is 104624414631.

136414426401 is a `hidden beast` number, since 1 + 3 + 6 + 4 + 1 + 4 + 4 + 2 + 640 + 1 = 666.

It is not a de Polignac number, because 136414426401 - 27 = 136414426273 is a prime.

It is not an unprimeable number, because it can be changed into a prime (136414426411) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 76550415 + ... + 76552196.

Almost surely, 2136414426401 is an apocalyptic number.

136414426401 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

136414426401 is a deficient number, since it is larger than the sum of its proper divisors (85890566223).

136414426401 is a wasteful number, since it uses less digits than its factorization.

136414426401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 153102634 (or 153102625 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The spelling of 136414426401 in words is "one hundred thirty-six billion, four hundred fourteen million, four hundred twenty-six thousand, four hundred one".

Divisors: 1 3 9 11 27 33 81 99 297 891 153102611 459307833 1377923499 1684128721 4133770497 5052386163 12401311491 15157158489 45471475467 136414426401