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30605076144 = 2432212535251
BaseRepresentation
bin11100100000001101…
…000110011010110000
32220222220211221210200
4130200031012122300
51000134344414034
622020524555200
72132264566146
oct344015063260
986886757720
1030605076144
1111a85849765
125b216b2b00
132b6984a316
1416a4953596
15be1ceaa99
hex7203466b0

30605076144 has 30 divisors (see below), whose sum is σ = 85651706556. Its totient is φ = 10201692000.

The previous prime is 30605076119. The next prime is 30605076233. The reversal of 30605076144 is 44167050603.

It is a happy number.

30605076144 is a `hidden beast` number, since 3 + 0 + 6 + 0 + 507 + 6 + 144 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 30605076099 and 30605076108.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 106267482 + ... + 106267769.

Almost surely, 230605076144 is an apocalyptic number.

It is an amenable number.

30605076144 is an abundant number, since it is smaller than the sum of its proper divisors (55046630412).

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

30605076144 is a wasteful number, since it uses less digits than its factorization.

30605076144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 212535265 (or 212535256 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The spelling of 30605076144 in words is "thirty billion, six hundred five million, seventy-six thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 212535251 425070502 637605753 850141004 1275211506 1700282008 1912817259 2550423012 3400564016 3825634518 5100846024 7651269036 10201692048 15302538072 30605076144