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120114531540 = 22325667302953
BaseRepresentation
bin110111111011101100…
…0100100110011010100
3102111000222200102020100
41233313120210303110
53431443310002130
6131102503134100
711451356446413
oct1576730446324
9374028612210
10120114531540
1146a38581393
121b342144330
13b432b48203
145b5663b47a
1531d007ac60
hex1bf7624cd4

120114531540 has 36 divisors (see below), whose sum is σ = 364347412884. Its totient is φ = 32030541696.

The previous prime is 120114531527. The next prime is 120114531583. The reversal of 120114531540 is 45135411021.

120114531540 is a `hidden beast` number, since 1 + 2 + 0 + 114 + 5 + 3 + 1 + 540 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 62819407044 + 57295124496 = 250638^2 + 239364^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 333651297 + ... + 333651656.

It is an arithmetic number, because the mean of its divisors is an integer number (10120761469).

Almost surely, 2120114531540 is an apocalyptic number.

120114531540 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

120114531540 is an abundant number, since it is smaller than the sum of its proper divisors (244232881344).

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

120114531540 is a wasteful number, since it uses less digits than its factorization.

120114531540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 667302968 (or 667302963 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 27.

Adding to 120114531540 its reverse (45135411021), we get a palindrome (165249942561).

The spelling of 120114531540 in words is "one hundred twenty billion, one hundred fourteen million, five hundred thirty-one thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 667302953 1334605906 2001908859 2669211812 3336514765 4003817718 6005726577 6673029530 8007635436 10009544295 12011453154 13346059060 20019088590 24022906308 30028632885 40038177180 60057265770 120114531540