Search a number
-
+
313144032344 = 2311132311901187
BaseRepresentation
bin1001000111010001101…
…01101011110001011000
31002221021112202001102212
410203220311223301120
520112304333013334
6355504551214252
731424000233343
oct4435065536130
91087245661385
10313144032344
11110892708350
1250833377388
13236b5cc0140
1411228a8145a
15822b5b1ece
hex48e8d6bc58

313144032344 has 64 divisors (see below), whose sum is σ = 719783850240. Its totient is φ = 125676524160.

The previous prime is 313144032343. The next prime is 313144032353. The reversal of 313144032344 is 443230441313.

It is a self number, because there is not a number n which added to its sum of digits gives 313144032344.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (313144032343) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5924282 + ... + 5976905.

It is an arithmetic number, because the mean of its divisors is an integer number (11246622660).

Almost surely, 2313144032344 is an apocalyptic number.

It is an amenable number.

313144032344 is an abundant number, since it is smaller than the sum of its proper divisors (406639817896).

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

313144032344 is a wasteful number, since it uses less digits than its factorization.

313144032344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11901240 (or 11901236 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 32.

Adding to 313144032344 its reverse (443230441313), we get a palindrome (756374473657).

The spelling of 313144032344 in words is "three hundred thirteen billion, one hundred forty-four million, thirty-two thousand, three hundred forty-four".

Divisors: 1 2 4 8 11 13 22 23 26 44 46 52 88 92 104 143 184 253 286 299 506 572 598 1012 1144 1196 2024 2392 3289 6578 13156 26312 11901187 23802374 47604748 95209496 130913057 154715431 261826114 273727301 309430862 523652228 547454602 618861724 1047304456 1094909204 1237723448 1701869741 2189818408 3011000311 3403739482 3558454913 6022000622 6807478964 7116909826 12044001244 13614957928 14233819652 24088002488 28467639304 39143004043 78286008086 156572016172 313144032344