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313324540516 = 22132215292
BaseRepresentation
bin1001000111100111001…
…10010001001001100100
31002221202010101211002201
410203303212101021210
520113142040244031
6355534520144244
731431321436261
oct4436346211144
91087663354081
10313324540516
11110975597859
1250883908084
1323714511400
1411244a2c268
15823c36ad61
hex48f3991264

313324540516 has 27 divisors (see below), whose sum is σ = 593768314251. Its totient is φ = 144604609344.

The previous prime is 313324540427. The next prime is 313324540597. The reversal of 313324540516 is 615045423313.

The square root of 313324540516 is 559754.

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 148248100900 + 165076439616 = 385030^2 + 406296^2 .

It is a super-4 number, since 4×3133245405164 (a number of 47 digits) contains 4444 as substring.

It is a Duffinian 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 8 ways as a sum of consecutive naturals, for example, 14542840 + ... + 14564368.

Almost surely, 2313324540516 is an apocalyptic number.

313324540516 is the 559754-th square number.

It is an amenable number.

313324540516 is a deficient number, since it is larger than the sum of its proper divisors (280443773735).

313324540516 is an frugal number, since it uses more digits than its factorization.

313324540516 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43088 (or 21544 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 37.

Adding to 313324540516 its reverse (615045423313), we get a palindrome (928369963829).

The spelling of 313324540516 in words is "three hundred thirteen billion, three hundred twenty-four million, five hundred forty thousand, five hundred sixteen".

Divisors: 1 2 4 13 26 52 169 338 676 21529 43058 86116 279877 559754 1119508 3638401 7276802 14553604 463497841 926995682 1853991364 6025471933 12050943866 24101887732 78331135129 156662270258 313324540516