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312331331424 = 2537464778767
BaseRepresentation
bin1001000101110000110…
…01011110011101100000
31002212011220111120100210
410202320121132131200
520104123310101144
6355252200214120
731364601341040
oct4427031363540
91085156446323
10312331331424
111105059920a2
125064716a340
13235b6811218
141118cb6b720
1581d007bab9
hex48b865e760

312331331424 has 48 divisors (see below), whose sum is σ = 936993996288. Its totient is φ = 89237523072.

The previous prime is 312331331399. The next prime is 312331331497. The reversal of 312331331424 is 424133133213.

It is a tau number, because it is divible by the number of its divisors (48).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 312331331391 and 312331331400.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 232388712 + ... + 232390055.

It is an arithmetic number, because the mean of its divisors is an integer number (19520708256).

Almost surely, 2312331331424 is an apocalyptic number.

It is an amenable number.

312331331424 is an abundant number, since it is smaller than the sum of its proper divisors (624662664864).

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

312331331424 is a wasteful number, since it uses less digits than its factorization.

312331331424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 464778787 (or 464778779 counting only the distinct ones).

The product of its digits is 15552, while the sum is 30.

Adding to 312331331424 its reverse (424133133213), we get a palindrome (736464464637).

The spelling of 312331331424 in words is "three hundred twelve billion, three hundred thirty-one million, three hundred thirty-one thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 112 168 224 336 672 464778767 929557534 1394336301 1859115068 2788672602 3253451369 3718230136 5577345204 6506902738 7436460272 9760354107 11154690408 13013805476 14872920544 19520708214 22309380816 26027610952 39041416428 44618761632 52055221904 78082832856 104110443808 156165665712 312331331424