Search a number
-
+
316229990369832 = 2332711237391386857
BaseRepresentation
bin100011111100111000000100…
…0001111100100101000101000
31112110200021212202011201100100
41013321300020033210220220
5312422103010013313312
63040322015124105400
7123415601646422250
oct10771601017445050
91473607782151310
10316229990369832
1191840427512900
122b5735a7b35260
131075b48b2b1c56
145813882894960
152685d03a345dc
hex11f9c083e4a28

316229990369832 has 288 divisors, whose sum is σ = 1076167413921600. Its totient is φ = 82115632811520.

The previous prime is 316229990369801. The next prime is 316229990369833. The reversal of 316229990369832 is 238963099922613.

316229990369832 is a `hidden beast` number, since 3 + 1 + 6 + 229 + 9 + 9 + 0 + 369 + 8 + 32 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is not an unprimeable number, because it can be changed into a prime (316229990369833) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 227325748 + ... + 228712604.

It is an arithmetic number, because the mean of its divisors is an integer number (3736692409450).

Almost surely, 2316229990369832 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 316229990369832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (538083706960800).

316229990369832 is an abundant number, since it is smaller than the sum of its proper divisors (759937423551768).

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

316229990369832 is a wasteful number, since it uses less digits than its factorization.

316229990369832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1390637 (or 1390619 counting only the distinct ones).

The product of its (nonzero) digits is 408146688, while the sum is 72.

The spelling of 316229990369832 in words is "three hundred sixteen trillion, two hundred twenty-nine billion, nine hundred ninety million, three hundred sixty-nine thousand, eight hundred thirty-two".