Search a number
-
+
313341143364 = 22334875957509
BaseRepresentation
bin1001000111101001001…
…01100110100101000100
31002221210021122022221000
410203310211212211010
520113210313041424
6355540312053300
731431612526134
oct4436445464504
91087707568830
10313341143364
111109839a7817
1250889394230
1323717aa5492
1411246d10ac4
15823da4a3c9
hex48f4966944

313341143364 has 48 divisors (see below), whose sum is σ = 814034166400. Its totient is φ = 104232559968.

The previous prime is 313341143363. The next prime is 313341143429. The reversal of 313341143364 is 463341143313.

313341143364 is a `hidden beast` number, since 313 + 3 + 4 + 1 + 1 + 4 + 336 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (313341143363) 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 15 ways as a sum of consecutive naturals, for example, 2926159 + ... + 3031350.

Almost surely, 2313341143364 is an apocalyptic number.

It is an amenable number.

313341143364 is an abundant number, since it is smaller than the sum of its proper divisors (500693023036).

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

313341143364 is a wasteful number, since it uses less digits than its factorization.

313341143364 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5958009 (or 5958001 counting only the distinct ones).

The product of its digits is 93312, while the sum is 36.

Adding to 313341143364 its reverse (463341143313), we get a palindrome (776682286677).

The spelling of 313341143364 in words is "three hundred thirteen billion, three hundred forty-one million, one hundred forty-three thousand, three hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 487 974 1461 1948 2922 4383 5844 8766 13149 17532 26298 52596 5957509 11915018 17872527 23830036 35745054 53617581 71490108 107235162 160852743 214470324 321705486 643410972 2901306883 5802613766 8703920649 11605227532 17407841298 26111761947 34815682596 52223523894 78335285841 104447047788 156670571682 313341143364