Search a number
-
+
331411533232 = 24134315576637
BaseRepresentation
bin1001101001010011010…
…10101010110110110000
31011200102122021020200211
410310221222222312300
520412212323030412
6412125351153504
732641454360413
oct4645152526660
91150378236624
10331411533232
1111860719711a
1254291075894
132533777cb70
141207cc21b7a
15894a1a9ca7
hex4d29aaadb0

331411533232 has 80 divisors (see below), whose sum is σ = 694456301952. Its totient is φ = 152307348480.

The previous prime is 331411533227. The next prime is 331411533253. The reversal of 331411533232 is 232335114133.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 331411533194 and 331411533203.

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 15 ways as a sum of consecutive naturals, for example, 49930618 + ... + 49937254.

Almost surely, 2331411533232 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 331411533232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (347228150976).

331411533232 is an abundant number, since it is smaller than the sum of its proper divisors (363044768720).

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

331411533232 is a wasteful number, since it uses less digits than its factorization.

331411533232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7646 (or 7640 counting only the distinct ones).

The product of its digits is 19440, while the sum is 31.

Adding to 331411533232 its reverse (232335114133), we get a palindrome (563746647365).

The spelling of 331411533232 in words is "three hundred thirty-one billion, four hundred eleven million, five hundred thirty-three thousand, two hundred thirty-two".

Divisors: 1 2 4 8 13 16 26 52 104 208 431 557 862 1114 1724 2228 3448 4456 5603 6637 6896 7241 8912 11206 13274 14482 22412 26548 28964 44824 53096 57928 86281 89648 106192 115856 172562 240067 345124 480134 690248 960268 1380496 1920536 2860547 3120871 3696809 3841072 5721094 6241742 7393618 11442188 12483484 14787236 22884376 24966968 29574472 37187111 45768752 48058517 49933936 59148944 74374222 96117034 148748444 192234068 297496888 384468136 594993776 768936272 1593324679 3186649358 6373298716 12746597432 20713220827 25493194864 41426441654 82852883308 165705766616 331411533232