Search a number
-
+
312900954228 = 22321716317318131
BaseRepresentation
bin1001000110110100101…
…10011010100001110100
31002220122121100101221200
410203122112122201310
520111310121013403
6355424505212500
731414656140652
oct4433226324164
91086577311850
10312900954228
11110778482145
1250785a91130
1323677832235
1411204687dd2
158215098ca3
hex48da59a874

312900954228 has 144 divisors (see below), whose sum is σ = 847525363776. Its totient is φ = 96993469440.

The previous prime is 312900954151. The next prime is 312900954229. The reversal of 312900954228 is 822459009213.

312900954228 is a `hidden beast` number, since 3 + 12 + 90 + 0 + 9 + 542 + 2 + 8 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (312900954229) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 17248723 + ... + 17266853.

It is an arithmetic number, because the mean of its divisors is an integer number (5885592804).

Almost surely, 2312900954228 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 312900954228, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (423762681888).

312900954228 is an abundant number, since it is smaller than the sum of its proper divisors (534624409548).

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

312900954228 is a wasteful number, since it uses less digits than its factorization.

312900954228 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18494 (or 18489 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The spelling of 312900954228 in words is "three hundred twelve billion, nine hundred million, nine hundred fifty-four thousand, two hundred twenty-eight".

Divisors: 1 2 3 4 6 9 12 17 18 34 36 51 68 102 153 163 173 204 306 326 346 489 519 612 652 692 978 1038 1467 1557 1956 2076 2771 2934 2941 3114 5542 5868 5882 6228 8313 8823 11084 11764 16626 17646 18131 24939 26469 28199 33252 35292 36262 49878 52938 54393 56398 72524 84597 99756 105876 108786 112796 163179 169194 217572 253791 308227 326358 338388 479383 507582 616454 652716 924681 958766 1015164 1232908 1438149 1849362 1917532 2774043 2876298 2955353 3136663 3698724 4314447 5548086 5752596 5910706 6273326 8628894 8866059 9409989 11096172 11821412 12546652 17257788 17732118 18819978 26598177 28229967 35464236 37639956 50241001 53196354 53323271 56459934 100482002 106392708 106646542 112919868 150723003 159969813 200964004 213293084 301446006 319939626 452169009 479909439 511276069 602892012 639879252 904338018 959818878 1022552138 1533828207 1808676036 1919637756 2045104276 3067656414 4601484621 6135312828 8691693173 9202969242 17383386346 18405938484 26075079519 34766772692 52150159038 78225238557 104300318076 156450477114 312900954228