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13142302130304 = 27342355112311
BaseRepresentation
bin1011111100111110111001…
…0000000000000010000000
31201112101120122001202010000
42333033232100000002000
53210310413321132204
643541253521040000
72524333332634014
oct277175620000200
951471518052100
1013142302130304
114207689a2a466
121583096486000
1374441048a099
1433613b2b8544
1517bcdc54b039
hexbf3ee400080

13142302130304 has 160 divisors (see below), whose sum is σ = 40811769282240. Its totient is φ = 4190299153920.

The previous prime is 13142302130273. The next prime is 13142302130329. The reversal of 13142302130304 is 40303120324131.

It is a happy number.

13142302130304 is a `hidden beast` number, since 1 + 3 + 1 + 42 + 302 + 13 + 0 + 304 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 27317692 + ... + 27794619.

It is an arithmetic number, because the mean of its divisors is an integer number (255073558014).

Almost surely, 213142302130304 is an apocalyptic number.

It is an amenable number.

13142302130304 is an abundant number, since it is smaller than the sum of its proper divisors (27669467151936).

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

13142302130304 is an equidigital number, since it uses as much as digits as its factorization.

13142302130304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55112360 (or 55112339 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

Adding to 13142302130304 its reverse (40303120324131), we get a palindrome (53445422454435).

The spelling of 13142302130304 in words is "thirteen trillion, one hundred forty-two billion, three hundred two million, one hundred thirty thousand, three hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 27 32 36 46 48 54 64 69 72 81 92 96 108 128 138 144 162 184 192 207 216 276 288 324 368 384 414 432 552 576 621 648 736 828 864 1104 1152 1242 1296 1472 1656 1728 1863 2208 2484 2592 2944 3312 3456 3726 4416 4968 5184 6624 7452 8832 9936 10368 13248 14904 19872 26496 29808 39744 59616 79488 119232 238464 55112311 110224622 165336933 220449244 330673866 440898488 496010799 661347732 881796976 992021598 1267583153 1322695464 1488032397 1763593952 1984043196 2535166306 2645390928 2976064794 3527187904 3802749459 3968086392 4464097191 5070332612 5290781856 5952129588 7054375808 7605498918 7936172784 8928194382 10140665224 10581563712 11408248377 11904259176 15210997836 15872345568 17856388764 20281330448 21163127424 22816496754 23808518352 30421995672 31744691136 34224745131 35712777528 40562660896 45632993508 47617036704 60843991344 63489382272 68449490262 71425555056 81125321792 91265987016 95234073408 102674235393 121687982688 136898980524 142851110112 162250643584 182531974032 190468146816 205348470786 243375965376 273797961048 285702220224 365063948064 410696941572 486751930752 547595922096 571404440448 730127896128 821393883144 1095191844192 1460255792256 1642787766288 2190383688384 3285575532576 4380767376768 6571151065152 13142302130304