Search a number
-
+
120397855392 = 2532418048109
BaseRepresentation
bin111000000100001000…
…1010111101010100000
3102111202201210202111100
41300020101113222200
53433033322333032
6131150543514400
711461366612443
oct1601021275240
9374681722440
10120397855392
11470734a5831
121b400bb8a00
13b479757769
145b8210d65a
1531e9d9397c
hex1c08457aa0

120397855392 has 36 divisors (see below), whose sum is σ = 342381402090. Its totient is φ = 40132618368.

The previous prime is 120397855387. The next prime is 120397855399. The reversal of 120397855392 is 293558793021.

120397855392 is a `hidden beast` number, since 1 + 2 + 0 + 39 + 78 + 5 + 539 + 2 = 666.

It can be written as a sum of positive squares in only one way, i.e., 66051056016 + 54346799376 = 257004^2 + 233124^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is not an unprimeable number, because it can be changed into a prime (120397855399) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 209023767 + ... + 209024342.

Almost surely, 2120397855392 is an apocalyptic number.

120397855392 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

120397855392 is an abundant number, since it is smaller than the sum of its proper divisors (221983546698).

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

120397855392 is a wasteful number, since it uses less digits than its factorization.

120397855392 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 418048125 (or 418048114 counting only the distinct ones).

The product of its (nonzero) digits is 4082400, while the sum is 54.

The spelling of 120397855392 in words is "one hundred twenty billion, three hundred ninety-seven million, eight hundred fifty-five thousand, three hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 418048109 836096218 1254144327 1672192436 2508288654 3344384872 3762432981 5016577308 6688769744 7524865962 10033154616 13377539488 15049731924 20066309232 30099463848 40132618464 60198927696 120397855392