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120138412160 = 2751314439713
BaseRepresentation
bin110111111100011001…
…1101011000010000000
3102111002122121200021202
41233320303223002000
53432020413142120
6131105115040332
711452066440254
oct1577063530200
9374078550252
10120138412160
1146a50002238
121b34a1400a8
13b437a89a60
145b59896264
1531d21e6875
hex1bf8ceb080

120138412160 has 64 divisors (see below), whose sum is σ = 309298673880. Its totient is φ = 44358795264.

The previous prime is 120138412139. The next prime is 120138412189. The reversal of 120138412160 is 61214831021.

It can be written as a sum of positive squares in 4 ways, for example, as 38657851456 + 81480560704 = 196616^2 + 285448^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7211537 + ... + 7228176.

Almost surely, 2120138412160 is an apocalyptic number.

120138412160 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

120138412160 is an abundant number, since it is smaller than the sum of its proper divisors (189160261720).

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

120138412160 is a wasteful number, since it uses less digits than its factorization.

120138412160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14439745 (or 14439733 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 29.

The spelling of 120138412160 in words is "one hundred twenty billion, one hundred thirty-eight million, four hundred twelve thousand, one hundred sixty".

Divisors: 1 2 4 5 8 10 13 16 20 26 32 40 52 64 65 80 104 128 130 160 208 260 320 416 520 640 832 1040 1664 2080 4160 8320 14439713 28879426 57758852 72198565 115517704 144397130 187716269 231035408 288794260 375432538 462070816 577588520 750865076 924141632 938581345 1155177040 1501730152 1848283264 1877162690 2310354080 3003460304 3754325380 4620708160 6006920608 7508650760 9241416320 12013841216 15017301520 24027682432 30034603040 60069206080 120138412160