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134513626315431 = 311297101191198031
BaseRepresentation
bin11110100101011011100100…
…111010011111101010100111
3122122021101011220020020122210
4132211123210322133222213
5120112332401314043211
61154030412402254503
740222201025312346
oct3645334472375247
9578241156206583
10134513626315431
11399509aa323800
1213105785357433
135a09771580b0c
1425306cc323b5d
15108401c5a39a6
hex7a56e4e9faa7

134513626315431 has 96 divisors (see below), whose sum is σ = 202196894957568. Its totient is φ = 79465478400000.

The previous prime is 134513626315381. The next prime is 134513626315463.

134513626315431 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 134513626315431 - 27 = 134513626315303 is a prime.

It is a super-2 number, since 2×1345136263154312 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (134513626315531) 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 95 ways as a sum of consecutive naturals, for example, 679156386 + ... + 679354416.

It is an arithmetic number, because the mean of its divisors is an integer number (2106217655808).

Almost surely, 2134513626315431 is an apocalyptic number.

134513626315431 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

134513626315431 is a deficient number, since it is larger than the sum of its proper divisors (67683268642137).

134513626315431 is a wasteful number, since it uses less digits than its factorization.

134513626315431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 198445 (or 198434 counting only the distinct ones).

The product of its digits is 2332800, while the sum is 48.

The spelling of 134513626315431 in words is "one hundred thirty-four trillion, five hundred thirteen billion, six hundred twenty-six million, three hundred fifteen thousand, four hundred thirty-one".

Divisors: 1 3 11 33 97 101 121 191 291 303 363 573 1067 1111 2101 3201 3333 6303 9797 11737 12221 18527 19291 23111 29391 35211 36663 55581 57873 69333 107767 198031 203797 212201 323301 594093 611391 636603 1185437 1871227 2178341 2241767 2334211 3556311 5613681 6535023 6725301 7002633 19209007 20001131 20583497 23961751 37823921 57627021 60003393 61750491 71885253 113471763 211299077 220012441 226418467 416063131 633897231 660037323 679255401 1248189393 1940109707 2324289847 2420136851 3668920337 3820216021 4576694441 5820329121 6972869541 7260410553 11006761011 11460648063 13730083323 21341206777 40358123707 42022376231 64023620331 121074371121 126067128693 234753274547 370560954037 443939360777 462246138541 704259823641 1111682862111 1331818082331 1386738415623 4076170494407 12228511483221 44837875438477 134513626315431