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13840724287 = 13193143127331
BaseRepresentation
bin11001110001111100…
…01011000100111111
31022201120202122101001
430320332023010333
5211321211134122
610205222431131
7666662133565
oct147076130477
938646678331
1013840724287
115962801015
1228232924a7
1313c7612cb0
14954295a35
15560170527
hex338f8b13f

13840724287 has 64 divisors (see below), whose sum is σ = 16753623040. Its totient is φ = 11316412800.

The previous prime is 13840724257. The next prime is 13840724291. The reversal of 13840724287 is 78242704831.

It is a cyclic number.

It is not a de Polignac number, because 13840724287 - 223 = 13832335679 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13840724257) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 41814712 + ... + 41815042.

It is an arithmetic number, because the mean of its divisors is an integer number (261775360).

Almost surely, 213840724287 is an apocalyptic number.

13840724287 is a deficient number, since it is larger than the sum of its proper divisors (2912898753).

13840724287 is a wasteful number, since it uses less digits than its factorization.

13840724287 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 564.

The product of its (nonzero) digits is 602112, while the sum is 46.

The spelling of 13840724287 in words is "thirteen billion, eight hundred forty million, seven hundred twenty-four thousand, two hundred eighty-seven".

Divisors: 1 13 19 31 43 127 247 331 403 559 589 817 1333 1651 2413 3937 4303 5461 6289 7657 10261 10621 14233 17329 25327 31369 42037 51181 70993 74803 81757 103759 133393 169291 185029 194959 270427 329251 441223 546481 798703 972439 1303147 1348867 1807591 2200783 2534467 3216529 3515551 5735899 8383237 10383139 16940911 23498683 24759793 34344229 41814877 56035321 108982081 321877309 446474977 728459173 1064671099 13840724287