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312064046430 = 23525794143013
BaseRepresentation
bin1001000101010000111…
…01110111010101011110
31002211111021120002021120
410202220131313111132
520103101343441210
6355205451311410
731355144425353
oct4425035672536
91084437502246
10312064046430
11110389022a04
125059174b566
1323573329116
141116547262a
1581b6881270
hex48a877755e

312064046430 has 64 divisors (see below), whose sum is σ = 752684436288. Its totient is φ = 82803261440.

The previous prime is 312064046417. The next prime is 312064046431. The reversal of 312064046430 is 34640460213.

It is a junction number, because it is equal to n+sod(n) for n = 312064046391 and 312064046400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (312064046431) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7233604 + ... + 7276616.

It is an arithmetic number, because the mean of its divisors is an integer number (11760694317).

Almost surely, 2312064046430 is an apocalyptic number.

312064046430 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

312064046430 is an abundant number, since it is smaller than the sum of its proper divisors (440620389858).

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

312064046430 is a wasteful number, since it uses less digits than its factorization.

312064046430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44221.

The product of its (nonzero) digits is 41472, while the sum is 33.

The spelling of 312064046430 in words is "three hundred twelve billion, sixty-four million, forty-six thousand, four hundred thirty".

Divisors: 1 2 3 5 6 10 15 30 257 514 771 941 1285 1542 1882 2570 2823 3855 4705 5646 7710 9410 14115 28230 43013 86026 129039 215065 241837 258078 430130 483674 645195 725511 1209185 1290390 1451022 2418370 3627555 7255110 11054341 22108682 33163023 40475233 55271705 66326046 80950466 110543410 121425699 165815115 202376165 242851398 331630230 404752330 607128495 1214256990 10402134881 20804269762 31206404643 52010674405 62412809286 104021348810 156032023215 312064046430