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134240015232 = 2733311252987
BaseRepresentation
bin111110100000101010…
…1000001001110000000
3110211111102021100002000
41331001111001032000
54144410420441412
6141400301224000
712461410205541
oct1750125011600
9424442240060
10134240015232
1151a26a97354
1222024862000
13c874450c9b
1466d665a4c8
15375a1e94dc
hex1f41541380

134240015232 has 128 divisors (see below), whose sum is σ = 408975283200. Its totient is φ = 43303196160.

The previous prime is 134240015197. The next prime is 134240015237. The reversal of 134240015232 is 232510042431.

134240015232 is a `hidden beast` number, since 1 + 3 + 424 + 0 + 0 + 1 + 5 + 232 = 666.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 134240015196 and 134240015205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (134240015237) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 519358 + ... + 733629.

It is an arithmetic number, because the mean of its divisors is an integer number (3195119400).

Almost surely, 2134240015232 is an apocalyptic number.

134240015232 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

134240015232 is an abundant number, since it is smaller than the sum of its proper divisors (274735267968).

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

134240015232 is a wasteful number, since it uses less digits than its factorization.

134240015232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1253041 (or 1253023 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

Adding to 134240015232 its reverse (232510042431), we get a palindrome (366750057663).

The spelling of 134240015232 in words is "one hundred thirty-four billion, two hundred forty million, fifteen thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 31 32 36 48 54 62 64 72 93 96 108 124 128 144 186 192 216 248 279 288 372 384 432 496 558 576 744 837 864 992 1116 1152 1488 1674 1728 1984 2232 2976 3348 3456 3968 4464 5952 6696 8928 11904 13392 17856 26784 35712 53568 107136 1252987 2505974 3758961 5011948 7517922 10023896 11276883 15035844 20047792 22553766 30071688 33830649 38842597 40095584 45107532 60143376 67661298 77685194 80191168 90215064 116527791 120286752 135322596 155370388 160382336 180430128 233055582 240573504 270645192 310740776 349583373 360860256 466111164 481147008 541290384 621481552 699166746 721720512 932222328 1048750119 1082580768 1242963104 1398333492 1443441024 1864444656 2097500238 2165161536 2485926208 2796666984 3728889312 4195000476 4330323072 4971852416 5593333968 7457778624 8390000952 11186667936 14915557248 16780001904 22373335872 33560003808 44746671744 67120007616 134240015232