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13140665454 = 237331281733
BaseRepresentation
bin11000011110011111…
…01010010001101110
31020220210110222012010
430033033222101232
5203403002243304
610011534022050
7643431546000
oct141717522156
936823428163
1013140665454
1156336214a4
122668947926
131315582bb7
148c9304370
1551d98a789
hex30f3ea46e

13140665454 has 128 divisors (see below), whose sum is σ = 31793356800. Its totient is φ = 3615494400.

The previous prime is 13140665441. The next prime is 13140665467. The reversal of 13140665454 is 45456604131.

It is an interprime number because it is at equal distance from previous prime (13140665441) and next prime (13140665467).

It is a super-2 number, since 2×131406654542 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 17926872 + ... + 17927604.

It is an arithmetic number, because the mean of its divisors is an integer number (248385600).

Almost surely, 213140665454 is an apocalyptic number.

13140665454 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 13140665454, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15896678400).

13140665454 is an abundant number, since it is smaller than the sum of its proper divisors (18652691346).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

13140665454 is a wasteful number, since it uses less digits than its factorization.

13140665454 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1071 (or 1057 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 39.

The spelling of 13140665454 in words is "thirteen billion, one hundred forty million, six hundred sixty-five thousand, four hundred fifty-four".

Divisors: 1 2 3 6 7 14 21 31 42 49 62 93 98 147 186 217 281 294 343 434 562 651 686 733 843 1029 1302 1466 1519 1686 1967 2058 2199 3038 3934 4398 4557 5131 5901 8711 9114 10262 10633 11802 13769 15393 17422 21266 22723 26133 27538 30786 31899 35917 41307 45446 52266 60977 63798 68169 71834 82614 96383 107751 121954 136338 159061 182931 192766 205973 215502 251419 289149 318122 365862 411946 426839 477183 502838 578298 617919 754257 853678 954366 1113427 1235838 1280517 1441811 1508514 2226854 2561034 2883622 2987873 3340281 4325433 5975746 6385163 6680562 7793989 8650866 8963619 10092677 12770326 15587978 17927238 19155489 20185354 23381967 30278031 38310978 44696141 46763934 60556062 70648739 89392282 134088423 141297478 211946217 268176846 312872987 423892434 625745974 938618961 1877237922 2190110909 4380221818 6570332727 13140665454