Search a number
-
+
1310275746864 = 243277118308123
BaseRepresentation
bin10011000100010010100…
…001010011110000110000
311122021001100222110221100
4103010102201103300300
5132431421042344424
62441533220324400
7163443566041140
oct23042241236060
94567040873840
101310275746864
11465759555977
12191b34843700
1396734c70426
14475bc1aa920
152413b100dc9
hex13112853c30

1310275746864 has 120 divisors (see below), whose sum is σ = 4249828207872. Its totient is φ = 369091739520.

The previous prime is 1310275746853. The next prime is 1310275746869. The reversal of 1310275746864 is 4686475720131.

1310275746864 is a `hidden beast` number, since 1 + 3 + 1 + 0 + 2 + 7 + 574 + 6 + 8 + 64 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 1310275746864.

It is not an unprimeable number, because it can be changed into a prime (1310275746869) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9082494 + ... + 9225629.

Almost surely, 21310275746864 is an apocalyptic number.

1310275746864 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

1310275746864 is an abundant number, since it is smaller than the sum of its proper divisors (2939552461008).

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

1310275746864 is a wasteful number, since it uses less digits than its factorization.

1310275746864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18308215 (or 18308206 counting only the distinct ones).

The product of its (nonzero) digits is 6773760, while the sum is 54.

The spelling of 1310275746864 in words is "one trillion, three hundred ten billion, two hundred seventy-five million, seven hundred forty-six thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 42 48 56 63 71 72 84 112 126 142 144 168 213 252 284 336 426 497 504 568 639 852 994 1008 1136 1278 1491 1704 1988 2556 2982 3408 3976 4473 5112 5964 7952 8946 10224 11928 17892 23856 35784 71568 18308123 36616246 54924369 73232492 109848738 128156861 146464984 164773107 219697476 256313722 292929968 329546214 384470583 439394952 512627444 659092428 768941166 878789904 1025254888 1153411749 1299876733 1318184856 1537882332 2050509776 2306823498 2599753466 2636369712 3075764664 3899630199 4613646996 5199506932 6151529328 7799260398 9099137131 9227293992 10399013864 11698890597 15598520796 18198274262 18454587984 20798027728 23397781194 27297411393 31197041592 36396548524 46795562388 54594822786 62394083184 72793097048 81892234179 93591124776 109189645572 145586194096 163784468358 187182249552 218379291144 327568936716 436758582288 655137873432 1310275746864