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40135653261 = 32117146712227
BaseRepresentation
bin100101011000010001…
…010111011110001101
310211121010022102210100
4211120101113132031
51124144211401021
630234342201313
72620412265234
oct453021273615
9124533272710
1040135653261
1116026591380
127941423239
133a281ca272
141d2a5ddb1b
15109d880626
hex95845778d

40135653261 has 48 divisors (see below), whose sum is σ = 64277411328. Its totient is φ = 23928727200.

The previous prime is 40135653203. The next prime is 40135653263. The reversal of 40135653261 is 16235653104.

40135653261 is a `hidden beast` number, since 4 + 0 + 1 + 3 + 565 + 32 + 61 = 666.

40135653261 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 40135653261 - 219 = 40135128973 is a prime.

It is a super-2 number, since 2×401356532612 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40135653263) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3276430 + ... + 3288656.

It is an arithmetic number, because the mean of its divisors is an integer number (1339112736).

Almost surely, 240135653261 is an apocalyptic number.

It is an amenable number.

40135653261 is a deficient number, since it is larger than the sum of its proper divisors (24141758067).

40135653261 is a wasteful number, since it uses less digits than its factorization.

40135653261 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12782 (or 12779 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 36.

It can be divided in two parts, 40135 and 653261, that added together give a palindrome (693396).

The spelling of 40135653261 in words is "forty billion, one hundred thirty-five million, six hundred fifty-three thousand, two hundred sixty-one".

Divisors: 1 3 9 11 33 71 99 213 467 639 781 1401 2343 4203 5137 7029 12227 15411 33157 36681 46233 99471 110043 134497 298413 364727 403491 868117 1094181 1210473 2604351 3282543 5710009 7813053 9549287 17130027 28647861 51390081 62810099 85943583 188430297 405410639 565290891 1216231917 3648695751 4459517029 13378551087 40135653261