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311324403312 = 2435136159473
BaseRepresentation
bin1001000011111000110…
…00010110011001110000
31002202120201210022200000
410201330120112121300
520100043021401222
6355004230230000
731330623523416
oct4417430263160
91082521708600
10311324403312
111100395670aa
1250405ab5300
1323486019780
14110d51392b6
15817197c9ac
hex487c616670

311324403312 has 120 divisors (see below), whose sum is σ = 973049064624. Its totient is φ = 95792108544.

The previous prime is 311324403301. The next prime is 311324403389. The reversal of 311324403312 is 213304423113.

It is a happy number.

311324403312 is a `hidden beast` number, since 3 + 1 + 1 + 324 + 4 + 0 + 331 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3029193 + ... + 3130280.

Almost surely, 2311324403312 is an apocalyptic number.

It is an amenable number.

311324403312 is an abundant number, since it is smaller than the sum of its proper divisors (661724661312).

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

311324403312 is a wasteful number, since it uses less digits than its factorization.

311324403312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6159509 (or 6159491 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

Adding to 311324403312 its reverse (213304423113), we get a palindrome (524628826425).

The spelling of 311324403312 in words is "three hundred eleven billion, three hundred twenty-four million, four hundred three thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 27 36 39 48 52 54 72 78 81 104 108 117 144 156 162 208 216 234 243 312 324 351 432 468 486 624 648 702 936 972 1053 1296 1404 1872 1944 2106 2808 3159 3888 4212 5616 6318 8424 12636 16848 25272 50544 6159473 12318946 18478419 24637892 36956838 49275784 55435257 73913676 80073149 98551568 110870514 147827352 160146298 166305771 221741028 240219447 295654704 320292596 332611542 443482056 480438894 498917313 640585192 665223084 720658341 886964112 960877788 997834626 1281170384 1330446168 1441316682 1496751939 1921755576 1995669252 2161975023 2660892336 2882633364 2993503878 3843511152 3991338504 4323950046 5765266728 5987007756 6485925069 7982677008 8647900092 11530533456 11974015512 12971850138 17295800184 19457775207 23948031024 25943700276 34591600368 38915550414 51887400552 77831100828 103774801104 155662201656 311324403312