Search a number
-
+
312321232144 = 24523117131873
BaseRepresentation
bin1001000101101111100…
…10111100110100010000
31002212011012111110202101
410202313302330310100
520104113213412034
6355251155530144
731364416446055
oct4426762746420
91085135443671
10312321232144
11110500214389
12506438b9954
13235b46b640c
141118b69d02c
1581ce234514
hex48b7cbcd10

312321232144 has 40 divisors (see below), whose sum is σ = 606816192032. Its totient is φ = 155724042240.

The previous prime is 312321232063. The next prime is 312321232183. The reversal of 312321232144 is 441232123213.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 9782992 + ... + 9814864.

Almost surely, 2312321232144 is an apocalyptic number.

It is an amenable number.

312321232144 is a deficient number, since it is larger than the sum of its proper divisors (294494959888).

312321232144 is a wasteful number, since it uses less digits than its factorization.

312321232144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33575 (or 33569 counting only the distinct ones).

The product of its digits is 6912, while the sum is 28.

Adding to 312321232144 its reverse (441232123213), we get a palindrome (753553355357).

It can be divided in two parts, 31232 and 1232144, that added together give a square (1263376 = 11242).

The spelling of 312321232144 in words is "three hundred twelve billion, three hundred twenty-one million, two hundred thirty-two thousand, one hundred forty-four".

Divisors: 1 2 4 8 16 523 1046 1171 2092 2342 4184 4684 8368 9368 18736 31873 63746 127492 254984 509968 612433 1224866 2449732 4899464 9798928 16669579 33339158 37323283 66678316 74646566 133356632 149293132 266713264 298586264 597172528 19520077009 39040154018 78080308036 156160616072 312321232144