Search a number
-
+
1138680434412 = 2232378263103457
BaseRepresentation
bin10000100100011110101…
…001001000111011101100
311000212010121010102112200
4100210132221020323230
5122124004142400122
62231034053301500
7145160363665233
oct20443651107354
94025117112480
101138680434412
113a9a03468964
12164825934890
13834b96620a1
143d1806ddb1a
151e9466d05ac
hex1091ea48eec

1138680434412 has 72 divisors (see below), whose sum is σ = 2956510161696. Its totient is φ = 369253499904.

The previous prime is 1138680434383. The next prime is 1138680434429. The reversal of 1138680434412 is 2144340868311.

1138680434412 is a `hidden beast` number, since 1 + 13 + 86 + 80 + 43 + 441 + 2 = 666.

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 23 ways as a sum of consecutive naturals, for example, 10954588 + ... + 11058044.

Almost surely, 21138680434412 is an apocalyptic number.

1138680434412 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1138680434412 is an abundant number, since it is smaller than the sum of its proper divisors (1817829727284).

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

1138680434412 is a wasteful number, since it uses less digits than its factorization.

1138680434412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111767 (or 111762 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 45.

The spelling of 1138680434412 in words is "one trillion, one hundred thirty-eight billion, six hundred eighty million, four hundred thirty-four thousand, four hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 36 37 74 111 148 222 333 444 666 1332 8263 16526 24789 33052 49578 74367 99156 103457 148734 206914 297468 305731 310371 413828 611462 620742 917193 931113 1222924 1241484 1834386 1862226 2751579 3668772 3724452 3827909 5503158 7655818 11006316 11483727 15311636 22967454 34451181 45934908 68902362 137804724 854865191 1709730382 2564595573 3419460764 5129191146 7693786719 10258382292 15387573438 30775146876 31630012067 63260024134 94890036201 126520048268 189780072402 284670108603 379560144804 569340217206 1138680434412