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313069344676 = 221122928772
BaseRepresentation
bin1001000111001000110…
…00110001011110100100
31002221002100012112012221
410203210120301132210
520112131223012201
6355453322322124
731422102344134
oct4434430613644
91087070175187
10313069344676
11110854535400
1250812359344
13236a369ca5a
141121cb9cac4
158224c5c4a1
hex48e46317a4

313069344676 has 81 divisors (see below), whose sum is σ = 624399446307. Its totient is φ = 137240537280.

The previous prime is 313069344673. The next prime is 313069344683. The reversal of 313069344676 is 676443960313.

The square root of 313069344676 is 559526.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 47869064100 + 265200280576 = 218790^2 + 514976^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (313069344673) by changing a digit.

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 26 ways as a sum of consecutive naturals, for example, 356977150 + ... + 356978026.

Almost surely, 2313069344676 is an apocalyptic number.

313069344676 is the 559526-th square number.

It is an amenable number.

313069344676 is a deficient number, since it is larger than the sum of its proper divisors (311330101631).

313069344676 is an equidigital number, since it uses as much as digits as its factorization.

313069344676 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1838 (or 919 counting only the distinct ones).

The product of its (nonzero) digits is 5878656, while the sum is 52.

The spelling of 313069344676 in words is "three hundred thirteen billion, sixty-nine million, three hundred forty-four thousand, six hundred seventy-six".

Divisors: 1 2 4 11 22 29 44 58 116 121 242 319 484 638 841 877 1276 1682 1754 3364 3508 3509 7018 9251 9647 14036 18502 19294 25433 37004 38588 50866 101732 101761 106117 203522 212234 279763 407044 424468 559526 737557 769129 1119052 1475114 1538258 2950228 3076516 3077393 6154786 8113127 8460419 12309572 16226254 16920838 22304741 32452508 33841676 44609482 89218964 89244397 93064609 178488794 186129218 245352151 356977588 372258436 490704302 646837489 981408604 1293674978 2587349956 2698873661 5397747322 7115212379 10795494644 14230424758 28460849516 78267336169 156534672338 313069344676