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134855640332928 = 273361333636211
BaseRepresentation
bin11110101010011010000110…
…100010011011101010000000
3122200111001222102221111112000
4132222122012202123222000
5120133433322411123203
61154451454221504000
740255666324431654
oct3652320642335200
9580431872844460
10134855640332928
1139a72a5731a209
121315bb15112000
135a32aa87a66b8
1425430952daa64
15108cd8847a4a3
hex7aa68689ba80

134855640332928 has 128 divisors (see below), whose sum is σ = 398018553441600. Its totient is φ = 44951076541440.

The previous prime is 134855640332773. The next prime is 134855640332929. The reversal of 134855640332928 is 829233046558431.

134855640332928 is a `hidden beast` number, since 1 + 3 + 4 + 8 + 556 + 4 + 0 + 33 + 29 + 28 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (134855640332929) 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, 211648743 + ... + 212284953.

Almost surely, 2134855640332928 is an apocalyptic number.

134855640332928 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

134855640332928 is an abundant number, since it is smaller than the sum of its proper divisors (263162913108672).

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

134855640332928 is an equidigital number, since it uses as much as digits as its factorization.

134855640332928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 697567 (or 697549 counting only the distinct ones).

The product of its (nonzero) digits is 149299200, while the sum is 63.

The spelling of 134855640332928 in words is "one hundred thirty-four trillion, eight hundred fifty-five billion, six hundred forty million, three hundred thirty-two thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 128 144 192 216 288 384 432 576 864 1152 1728 3456 61333 122666 183999 245332 367998 490664 551997 636211 735996 981328 1103994 1272422 1471992 1655991 1908633 1962656 2207988 2544844 2943984 3311982 3817266 3925312 4415976 5089688 5725899 5887968 6623964 7634532 7850624 8831952 10179376 11451798 11775936 13247928 15269064 17177697 17663904 20358752 22903596 23551872 26495856 30538128 34355394 35327808 40717504 45807192 52991712 61076256 68710788 70655616 81435008 91614384 105983424 122152512 137421576 183228768 211966848 244305024 274843152 366457536 549686304 732915072 1099372608 2198745216 39020729263 78041458526 117062187789 156082917052 234124375578 312165834104 351186563367 468248751156 624331668208 702373126734 936497502312 1053559690101 1248663336416 1404746253468 1872995004624 2107119380202 2497326672832 2809492506936 3745990009248 4214238760404 4994653345664 5618985013872 7491980018496 8428477520808 11237970027744 14983960036992 16856955041616 22475940055488 33713910083232 44951880110976 67427820166464 134855640332928