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10140445116360 = 23325132166761777
BaseRepresentation
bin1001001110010000000110…
…1000010000011111001000
31022220102021001111101102200
42103210001220100133020
52312120112422210420
633322242311200200
72064423453213036
oct223440150203710
938812231441380
1010140445116360
11325a5a19a8719
121179352676060
13587316cc7380
14270b2b907556
15128b99c8ab90
hex93901a107c8

10140445116360 has 96 divisors (see below), whose sum is σ = 35491557923640. Its totient is φ = 2496109565952.

The previous prime is 10140445116359. The next prime is 10140445116371. The reversal of 10140445116360 is 6361154404101.

10140445116360 is a `hidden beast` number, since 1 + 0 + 1 + 4 + 0 + 4 + 4 + 5 + 11 + 636 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 7494793226244 + 2645651890116 = 2737662^2 + 1626546^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1083376209 + ... + 1083385568.

Almost surely, 210140445116360 is an apocalyptic number.

10140445116360 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10140445116360 is an abundant number, since it is smaller than the sum of its proper divisors (25351112807280).

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

10140445116360 is a wasteful number, since it uses less digits than its factorization.

10140445116360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2166761807 (or 2166761800 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The spelling of 10140445116360 in words is "ten trillion, one hundred forty billion, four hundred forty-five million, one hundred sixteen thousand, three hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 13 15 18 20 24 26 30 36 39 40 45 52 60 65 72 78 90 104 117 120 130 156 180 195 234 260 312 360 390 468 520 585 780 936 1170 1560 2340 4680 2166761777 4333523554 6500285331 8667047108 10833808885 13000570662 17334094216 19500855993 21667617770 26001141324 28167903101 32501426655 39001711986 43335235540 52002282648 56335806202 65002853310 78003423972 84503709303 86670471080 97504279965 112671612404 130005706620 140839515505 156006847944 169007418606 195008559930 225343224808 253511127909 260011413240 281679031010 338014837212 390017119860 422518546515 507022255818 563358062020 676029674424 780034239720 845037093030 1014044511636 1126716124040 1267555639545 1690074186060 2028089023272 2535111279090 3380148372120 5070222558180 10140445116360