Search a number
-
+
14005031859648 = 263271933816817
BaseRepresentation
bin1100101111001100110011…
…1100101111010111000000
31211120212102202020220112200
43023303030330233113000
53313424301124002043
645441453421153200
72643554513430234
oct313631474572700
954525382226480
1014005031859648
11450a556413285
1216a23289bb800
137a78905890ab
14365bc08645c4
15194482a497d3
hexcbcccf2f5c0

14005031859648 has 84 divisors (see below), whose sum is σ = 40198727892960. Its totient is φ = 4661850986496.

The previous prime is 14005031859631. The next prime is 14005031859701. The reversal of 14005031859648 is 84695813050041.

It is a happy number.

14005031859648 is a `hidden beast` number, since 1 + 4 + 0 + 0 + 5 + 0 + 3 + 1 + 8 + 596 + 48 = 666.

It is a super-2 number, since 2×140050318596482 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 14005031859594 and 14005031859603.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 16494265 + ... + 17322552.

It is an arithmetic number, because the mean of its divisors is an integer number (478556284440).

Almost surely, 214005031859648 is an apocalyptic number.

14005031859648 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

14005031859648 is an abundant number, since it is smaller than the sum of its proper divisors (26193696033312).

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

14005031859648 is a wasteful number, since it uses less digits than its factorization.

14005031859648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33817554 (or 33817541 counting only the distinct ones).

The product of its (nonzero) digits is 4147200, while the sum is 54.

The spelling of 14005031859648 in words is "fourteen trillion, five billion, thirty-one million, eight hundred fifty-nine thousand, six hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 288 576 719 1438 2157 2876 4314 5752 6471 8628 11504 12942 17256 23008 25884 34512 46016 51768 69024 103536 138048 207072 414144 33816817 67633634 101450451 135267268 202900902 270534536 304351353 405801804 541069072 608702706 811603608 1082138144 1217405412 1623207216 2164276288 2434810824 3246414432 4869621648 6492828864 9739243296 19478486592 24314291423 48628582846 72942874269 97257165692 145885748538 194514331384 218828622807 291771497076 389028662768 437657245614 583542994152 778057325536 875314491228 1167085988304 1556114651072 1750628982456 2334171976608 3501257964912 4668343953216 7002515929824 14005031859648