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149313206016 = 2832134985083
BaseRepresentation
bin1000101100001111000…
…0101011011100000000
3112021101220010202122100
42023003300223130000
54421243140043031
6152332112110400
713534056211302
oct2130360533400
9467356122570
10149313206016
1158361459717
1224b30835400
13111071b4ca0
147326493972
153d3d669de6
hex22c3c2b700

149313206016 has 108 divisors (see below), whose sum is σ = 463622782168. Its totient is φ = 45942515712.

The previous prime is 149313205949. The next prime is 149313206027. The reversal of 149313206016 is 610602313941.

149313206016 is a `hidden beast` number, since 1 + 49 + 3 + 1 + 3 + 2 + 0 + 601 + 6 = 666.

149313206016 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 2462590 + ... + 2522493.

Almost surely, 2149313206016 is an apocalyptic number.

149313206016 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

149313206016 is an abundant number, since it is smaller than the sum of its proper divisors (314309576152).

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

149313206016 is a wasteful number, since it uses less digits than its factorization.

149313206016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4985118 (or 4985101 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

Adding to 149313206016 its reverse (610602313941), we get a palindrome (759915519957).

The spelling of 149313206016 in words is "one hundred forty-nine billion, three hundred thirteen million, two hundred six thousand, sixteen".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 32 36 39 48 52 64 72 78 96 104 117 128 144 156 192 208 234 256 288 312 384 416 468 576 624 768 832 936 1152 1248 1664 1872 2304 2496 3328 3744 4992 7488 9984 14976 29952 4985083 9970166 14955249 19940332 29910498 39880664 44865747 59820996 64806079 79761328 89731494 119641992 129612158 159522656 179462988 194418237 239283984 259224316 319045312 358925976 388836474 478567968 518448632 583254711 638090624 717851952 777672948 957135936 1036897264 1166509422 1276181248 1435703904 1555345896 1914271872 2073794528 2333018844 2871407808 3110691792 3828543744 4147589056 4666037688 5742815616 6221383584 8295178112 9332075376 11485631232 12442767168 16590356224 18664150752 24885534336 37328301504 49771068672 74656603008 149313206016