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158139838224 = 243231210692
BaseRepresentation
bin1001001101000111011…
…1100110111100010000
3120010012001000010202100
42103101313212330100
510042332244310344
6200352021320400
714265565306014
oct2232167467420
9503161003670
10158139838224
11610808a8085
1226794866100
1311bb2a74094
14792285a544
1541a84ed569
hex24d1de6f10

158139838224 has 135 divisors (see below), whose sum is σ = 457737145749. Its totient is φ = 50965130880.

The previous prime is 158139838189. The next prime is 158139838253. The reversal of 158139838224 is 422838931851.

The square root of 158139838224 is 397668.

It is a perfect power (a square), and thus also a powerful number.

158139838224 is a `hidden beast` number, since 1 + 581 + 3 + 9 + 8 + 38 + 2 + 24 = 666.

158139838224 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 73947012624 + 84192825600 = 271932^2 + 290160^2 .

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

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 26 ways as a sum of consecutive naturals, for example, 147931962 + ... + 147933030.

Almost surely, 2158139838224 is an apocalyptic number.

158139838224 is the 397668-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 158139838224

158139838224 is an abundant number, since it is smaller than the sum of its proper divisors (299597307525).

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

158139838224 is an equidigital number, since it uses as much as digits as its factorization.

158139838224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2214 (or 1105 counting only the distinct ones).

The product of its digits is 3317760, while the sum is 54.

The spelling of 158139838224 in words is "one hundred fifty-eight billion, one hundred thirty-nine million, eight hundred thirty-eight thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 31 36 48 62 72 93 124 144 186 248 279 372 496 558 744 961 1069 1116 1488 1922 2138 2232 2883 3207 3844 4276 4464 5766 6414 7688 8552 8649 9621 11532 12828 15376 17104 17298 19242 23064 25656 33139 34596 38484 46128 51312 66278 69192 76968 99417 132556 138384 153936 198834 265112 298251 397668 530224 596502 795336 1027309 1142761 1193004 1590672 2054618 2285522 2386008 3081927 3428283 4109236 4571044 4772016 6163854 6856566 8218472 9142088 9245781 10284849 12327708 13713132 16436944 18284176 18491562 20569698 24655416 27426264 35425591 36983124 41139396 49310832 54852528 70851182 73966248 82278792 106276773 141702364 147932496 164557584 212553546 283404728 318830319 425107092 566809456 637660638 850214184 1098193321 1275321276 1700428368 2196386642 2550642552 3294579963 4392773284 5101285104 6589159926 8785546568 9883739889 13178319852 17571093136 19767479778 26356639704 39534959556 52713279408 79069919112 158139838224