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313321144140 = 22335580224341
BaseRepresentation
bin1001000111100110110…
…01010011111101001100
31002221201220000021011000
410203303121103331030
520113140203103030
6355534315300300
731431250532304
oct4436331237514
91087656007130
10313321144140
11110973688034
125088274a690
13237138c2514
14112443c6604
15823bde9860
hex48f3653f4c

313321144140 has 48 divisors (see below), whose sum is σ = 974776894560. Its totient is φ = 83552304960.

The previous prime is 313321144109. The next prime is 313321144177. The reversal of 313321144140 is 41441123313.

313321144140 is a `hidden beast` number, since 3 + 1 + 3 + 3 + 211 + 441 + 4 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 290111631 + ... + 290112710.

It is an arithmetic number, because the mean of its divisors is an integer number (20307851970).

Almost surely, 2313321144140 is an apocalyptic number.

313321144140 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

313321144140 is an abundant number, since it is smaller than the sum of its proper divisors (661455750420).

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

313321144140 is a wasteful number, since it uses less digits than its factorization.

313321144140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 580224359 (or 580224351 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 313321144140 its reverse (41441123313), we get a palindrome (354762267453).

The spelling of 313321144140 in words is "three hundred thirteen billion, three hundred twenty-one million, one hundred forty-four thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 90 108 135 180 270 540 580224341 1160448682 1740673023 2320897364 2901121705 3481346046 5222019069 5802243410 6962692092 8703365115 10444038138 11604486820 15666057207 17406730230 20888076276 26110095345 31332114414 34813460460 52220190690 62664228828 78330286035 104440381380 156660572070 313321144140