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313230441440 = 2557279670037
BaseRepresentation
bin1001000111011011111…
…11010011101111100000
31002221111120100002102202
410203231333103233200
520112443443111230
6355521315232332
731426066552040
oct4435577235740
91087446302382
10313230441440
11110927466824
12508582a86a8
13236cab85797
1411236335720
158233e7ea45
hex48edfd3be0

313230441440 has 48 divisors (see below), whose sum is σ = 845722194912. Its totient is φ = 107393293824.

The previous prime is 313230441439. The next prime is 313230441449. The reversal of 313230441440 is 44144032313.

It is a happy number.

It is a super-2 number, since 2×3132304414402 (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (313230441449) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 139833899 + ... + 139836138.

It is an arithmetic number, because the mean of its divisors is an integer number (17619212394).

Almost surely, 2313230441440 is an apocalyptic number.

It is an amenable number.

313230441440 is an abundant number, since it is smaller than the sum of its proper divisors (532491753472).

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

313230441440 is a wasteful number, since it uses less digits than its factorization.

313230441440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 279670059 (or 279670051 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 29.

Adding to 313230441440 its reverse (44144032313), we get a palindrome (357374473753).

The spelling of 313230441440 in words is "three hundred thirteen billion, two hundred thirty million, four hundred forty-one thousand, four hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 70 80 112 140 160 224 280 560 1120 279670037 559340074 1118680148 1398350185 1957690259 2237360296 2796700370 3915380518 4474720592 5593400740 7830761036 8949441184 9788451295 11186801480 15661522072 19576902590 22373602960 31323044144 39153805180 44747205920 62646088288 78307610360 156615220720 313230441440