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30114724896 = 2532104565017
BaseRepresentation
bin11100000010111110…
…100011110000100000
32212201202011112100100
4130002332203300200
5443133332144041
621500131022400
72114161636524
oct340276436040
985652145310
1030114724896
1111853a825a3
125a0543aa00
132abc092c59
14165978dd84
15bb3c3b6b6
hex702fa3c20

30114724896 has 36 divisors (see below), whose sum is σ = 85638749742. Its totient is φ = 10038241536.

The previous prime is 30114724891. The next prime is 30114724897. The reversal of 30114724896 is 69842741103.

30114724896 is a `hidden beast` number, since 301 + 14 + 7 + 248 + 96 = 666.

It can be written as a sum of positive squares in only one way, i.e., 20891811600 + 9222913296 = 144540^2 + 96036^2 .

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

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (30114724891) 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, 52282221 + ... + 52282796.

Almost surely, 230114724896 is an apocalyptic number.

30114724896 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

30114724896 is an abundant number, since it is smaller than the sum of its proper divisors (55524024846).

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

30114724896 is a wasteful number, since it uses less digits than its factorization.

30114724896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104565033 (or 104565022 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 30114724896 in words is "thirty billion, one hundred fourteen million, seven hundred twenty-four thousand, eight hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 104565017 209130034 313695051 418260068 627390102 836520136 941085153 1254780204 1673040272 1882170306 2509560408 3346080544 3764340612 5019120816 7528681224 10038241632 15057362448 30114724896