Search a number
-
+
317080880640 = 2933527716561
BaseRepresentation
bin1001001110100110111…
…11100100011000000000
31010022102220121200001000
410213103133210120000
520143340201140030
6401355343412000
731623363005226
oct4472337443000
91108386550030
10317080880640
11112522988787
12515518b4000
1323b92800184
14114bd876b16
1583ac010860
hex49d37e4600

317080880640 has 320 divisors, whose sum is σ = 1130432022720. Its totient is φ = 84244561920.

The previous prime is 317080880639. The next prime is 317080880689. The reversal of 317080880640 is 46088080713.

It is a tau number, because it is divible by the number of its divisors (320).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 19137960 + ... + 19154520.

It is an arithmetic number, because the mean of its divisors is an integer number (3532600071).

Almost surely, 2317080880640 is an apocalyptic number.

317080880640 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 317080880640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (565216011360).

317080880640 is an abundant number, since it is smaller than the sum of its proper divisors (813351142080).

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

317080880640 is a wasteful number, since it uses less digits than its factorization.

317080880640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16870 (or 16848 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 45.

The spelling of 317080880640 in words is "three hundred seventeen billion, eighty million, eight hundred eighty thousand, six hundred forty".