Search a number
-
+
320512235044 = 222924322272
BaseRepresentation
bin1001010101000000000…
…01001001011000100100
31010122022001022112101011
410222200001021120210
520222402113010134
6403124041312004
732104410022021
oct4524001113044
91118261275334
10320512235044
11113a2388a071
125214aa95604
13242bb6835b1
1411727486548
15850d3ad264
hex4aa0049624

320512235044 has 81 divisors (see below), whose sum is σ = 597359678097. Its totient is φ = 150465893088.

The previous prime is 320512235027. The next prime is 320512235047. The reversal of 320512235044 is 440532215023.

The square root of 320512235044 is 566138.

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

It can be written as a sum of positive squares in only one way, i.e., 168068841444 + 152443393600 = 409962^2 + 390440^2 .

It is a hoax number, since the sum of its digits (31) coincides with the sum of the digits of its distinct prime factors.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 320512234997 and 320512235015.

It is not an unprimeable number, because it can be changed into a prime (320512235047) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1411948059 + ... + 1411948285.

Almost surely, 2320512235044 is an apocalyptic number.

320512235044 is the 566138-th square number.

It is an amenable number.

320512235044 is a deficient number, since it is larger than the sum of its proper divisors (276847443053).

320512235044 is an equidigital number, since it uses as much as digits as its factorization.

320512235044 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 602 (or 301 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 31.

The spelling of 320512235044 in words is "three hundred twenty billion, five hundred twelve million, two hundred thirty-five thousand, forty-four".

Divisors: 1 2 4 29 43 58 86 116 172 227 454 841 908 1247 1682 1849 2494 3364 3698 4988 6583 7396 9761 13166 19522 26332 36163 39044 51529 53621 72326 103058 107242 144652 190907 206116 214484 283069 381814 419723 566138 763628 839446 1132276 1494341 1555009 1678892 2215747 2988682 3110018 4431494 5977364 6220036 8209001 8862988 12171967 16418002 24343934 32836004 43335889 48687868 64256663 86671778 95277121 128513326 173343556 190554242 257026652 352987043 381108484 705974086 1411948172 1863443227 2763036509 3726886454 5526073018 7453772908 11052146036 80128058761 160256117522 320512235044