Search a number
-
+
139251342223152 = 24332931358555139
BaseRepresentation
bin11111101010010111111010…
…110010011010011100110000
3200021001022001110112222021000
4133222113322302122130300
5121222443222102120102
61212055103344402000
741221402034134605
oct3752277262323460
9607038043488230
10139251342223152
1140408187456735
121374ba14916300
135c91464603433
142655b2da486ac
1511173a882001c
hex7ea5fac9a730

139251342223152 has 160 divisors (see below), whose sum is σ = 426824038656000. Its totient is φ = 43370829492480.

The previous prime is 139251342223111. The next prime is 139251342223211. The reversal of 139251342223152 is 251322243152931.

139251342223152 is a `hidden beast` number, since 1 + 3 + 9 + 2 + 51 + 3 + 422 + 23 + 152 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 139251342223098 and 139251342223107.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 178889202 + ... + 179665937.

It is an arithmetic number, because the mean of its divisors is an integer number (2667650241600).

Almost surely, 2139251342223152 is an apocalyptic number.

139251342223152 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

139251342223152 is an abundant number, since it is smaller than the sum of its proper divisors (287572696432848).

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

139251342223152 is a wasteful number, since it uses less digits than its factorization.

139251342223152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 358555216 (or 358555204 counting only the distinct ones).

The product of its digits is 777600, while the sum is 45.

The spelling of 139251342223152 in words is "one hundred thirty-nine trillion, two hundred fifty-one billion, three hundred forty-two million, two hundred twenty-three thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 29 31 36 48 54 58 62 72 87 93 108 116 124 144 174 186 216 232 248 261 279 348 372 432 464 496 522 558 696 744 783 837 899 1044 1116 1392 1488 1566 1674 1798 2088 2232 2697 3132 3348 3596 4176 4464 5394 6264 6696 7192 8091 10788 12528 13392 14384 16182 21576 24273 32364 43152 48546 64728 97092 129456 194184 388368 358555139 717110278 1075665417 1434220556 2151330834 2868441112 3226996251 4302661668 5736882224 6453992502 8605323336 9680988753 10398099031 11115209309 12907985004 17210646672 19361977506 20796198062 22230418618 25815970008 31194297093 33345627927 38723955012 41592396124 44460837236 51631940016 62388594186 66691255854 77447910024 83184792248 88921674472 93582891279 100036883781 124777188372 133382511708 154895820048 166369584496 177843348944 187165782558 200073767562 249554376744 266765023416 280748673837 300110651343 322341069961 374331565116 400147535124 499108753488 533530046832 561497347674 600221302686 644682139922 748663130232 800295070248 967023209883 1122994695348 1200442605372 1289364279844 1497326260464 1600590140496 1934046419766 2245989390696 2400885210744 2578728559688 2901069629649 3868092839532 4491978781392 4801770421488 5157457119376 5802139259298 7736185679064 8703208888947 11604278518596 15472371358128 17406417777894 23208557037192 34812835555788 46417114074384 69625671111576 139251342223152