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134586685431 = 33114382712743
BaseRepresentation
bin111110101010111111…
…1011101011111110111
3110212101120121000012000
41331111333131133313
54201113142413211
6141454523430343
712503116644042
oct1752577353767
9425346530160
10134586685431
1152094747850
12221009853b3
13c8cb20c693
14672a6dbc59
15377a876656
hex1f55fdd7f7

134586685431 has 64 divisors (see below), whose sum is σ = 222858915840. Its totient is φ = 79568183520.

The previous prime is 134586685417. The next prime is 134586685463.

It is a happy number.

134586685431 is a `hidden beast` number, since 1 + 3 + 4 + 586 + 6 + 8 + 54 + 3 + 1 = 666.

134586685431 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 134586685431 - 226 = 134519576567 is a prime.

It is a super-2 number, since 2×1345866854312 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (134586683431) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 10555246 + ... + 10567988.

It is an arithmetic number, because the mean of its divisors is an integer number (3482170560).

Almost surely, 2134586685431 is an apocalyptic number.

134586685431 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

134586685431 is a deficient number, since it is larger than the sum of its proper divisors (88272230409).

134586685431 is a wasteful number, since it uses less digits than its factorization.

134586685431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13633 (or 13627 counting only the distinct ones).

The product of its digits is 8294400, while the sum is 54.

The spelling of 134586685431 in words is "one hundred thirty-four billion, five hundred eighty-six million, six hundred eighty-five thousand, four hundred thirty-one".

Divisors: 1 3 9 11 27 33 43 99 129 297 387 473 827 1161 1419 2481 4257 7443 9097 12743 12771 22329 27291 35561 38229 81873 106683 114687 140173 245619 320049 344061 391171 420519 547949 960147 1173513 1261557 1643847 3520539 3784671 4931541 6027439 10538461 10561617 14794623 18082317 31615383 54246951 94846149 115923071 162740853 284538447 347769213 453153823 1043307639 1359461469 3129922917 4078384407 4984692053 12235153221 14954076159 44862228477 134586685431