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1310663405376 = 26341319448353
BaseRepresentation
bin10011000100101001101…
…000000110111101000000
311122022001101102120110000
4103010221220012331000
5132433214312433001
62442035505240000
7163456314061653
oct23045150067500
94568041376400
101310663405376
11465938361506
12192022633000
1396797380470
144761787b89a
1524160177a86
hex13129a06f40

1310663405376 has 140 divisors (see below), whose sum is σ = 4184079982852. Its totient is φ = 403281027072.

The previous prime is 1310663405357. The next prime is 1310663405399. The reversal of 1310663405376 is 6735043660131.

1310663405376 is a `hidden beast` number, since 1 + 3 + 1 + 0 + 6 + 634 + 0 + 5 + 3 + 7 + 6 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 556933838400 + 753729566976 = 746280^2 + 868176^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 9656785 + ... + 9791568.

Almost surely, 21310663405376 is an apocalyptic number.

1310663405376 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

1310663405376 is an abundant number, since it is smaller than the sum of its proper divisors (2873416577476).

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

1310663405376 is a wasteful number, since it uses less digits than its factorization.

1310663405376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19448390 (or 19448371 counting only the distinct ones).

The product of its (nonzero) digits is 816480, while the sum is 45.

The spelling of 1310663405376 in words is "one trillion, three hundred ten billion, six hundred sixty-three million, four hundred five thousand, three hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 27 32 36 39 48 52 54 64 72 78 81 96 104 108 117 144 156 162 192 208 216 234 288 312 324 351 416 432 468 576 624 648 702 832 864 936 1053 1248 1296 1404 1728 1872 2106 2496 2592 2808 3744 4212 5184 5616 7488 8424 11232 16848 22464 33696 67392 19448353 38896706 58345059 77793412 116690118 155586824 175035177 233380236 252828589 311173648 350070354 466760472 505657178 525105531 622347296 700140708 758485767 933520944 1011314356 1050211062 1244694592 1400281416 1516971534 1575316593 1867041888 2022628712 2100422124 2275457301 2800562832 3033943068 3150633186 3734083776 4045257424 4200844248 4550914602 5601125664 6067886136 6301266372 6826371903 8090514848 8401688496 9101829204 11202251328 12135772272 12602532744 13652743806 16181029696 16803376992 18203658408 20479115709 24271544544 25205065488 27305487612 33606753984 36407316816 40958231418 48543089088 50410130976 54610975224 72814633632 81916462836 100820261952 109221950448 145629267264 163832925672 218443900896 327665851344 436887801792 655331702688 1310663405376