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134241221088 = 25321322758079
BaseRepresentation
bin111110100000101100…
…1100111100111100000
3110211111111112121012100
41331001121213213200
54144411223033323
6141400343130400
712461423360262
oct1750131474740
9424444477170
10134241221088
1151a27740327
1222025143a00
13c874783b00
1466d6891b32
15375a386943
hex1f416679e0

134241221088 has 108 divisors (see below), whose sum is σ = 413372756160. Its totient is φ = 41304976128.

The previous prime is 134241221069. The next prime is 134241221099. The reversal of 134241221088 is 880122142431.

134241221088 is a `hidden beast` number, since 1 + 3 + 424 + 1 + 221 + 0 + 8 + 8 = 666.

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 pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 1330368 + ... + 1427711.

It is an arithmetic number, because the mean of its divisors is an integer number (3827525520).

Almost surely, 2134241221088 is an apocalyptic number.

134241221088 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

134241221088 is an abundant number, since it is smaller than the sum of its proper divisors (279131535072).

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

134241221088 is a wasteful number, since it uses less digits than its factorization.

134241221088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2758121 (or 2758097 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 36.

The spelling of 134241221088 in words is "one hundred thirty-four billion, two hundred forty-one million, two hundred twenty-one thousand, eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 32 36 39 48 52 72 78 96 104 117 144 156 169 208 234 288 312 338 416 468 507 624 676 936 1014 1248 1352 1521 1872 2028 2704 3042 3744 4056 5408 6084 8112 12168 16224 24336 48672 2758079 5516158 8274237 11032316 16548474 22064632 24822711 33096948 35855027 44129264 49645422 66193896 71710054 88258528 99290844 107565081 132387792 143420108 198581688 215130162 264775584 286840216 322695243 397163376 430260324 466115351 573680432 645390486 794326752 860520648 932230702 1147360864 1290780972 1398346053 1721041296 1864461404 2581561944 2796692106 3442082592 3728922808 4195038159 5163123888 5593384212 7457845616 8390076318 10326247776 11186768424 14915691232 16780152636 22373536848 33560305272 44747073696 67120610544 134241221088