Search a number
-
+
339136823808 = 2934231672129
BaseRepresentation
bin1001110111101100010…
…00010100001000000000
31012102101000202200010000
410323312020110020000
521024023011330213
6415444115040000
733334061303436
oct4736610241000
91172330680100
10339136823808
11120910994292
12558882a0000
1325c9910b713
14125b2c1ad56
158c4d4dec73
hex4ef6214200

339136823808 has 400 divisors, whose sum is σ = 1063068209280. Its totient is φ = 107432607744.

The previous prime is 339136823783. The next prime is 339136823819. The reversal of 339136823808 is 808328631933.

339136823808 is a `hidden beast` number, since 339 + 13 + 68 + 238 + 0 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 159292888 + ... + 159295016.

Almost surely, 2339136823808 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 339136823808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (531534104640).

339136823808 is an abundant number, since it is smaller than the sum of its proper divisors (723931385472).

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

339136823808 is a wasteful number, since it uses less digits than its factorization.

339136823808 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2349 (or 2324 counting only the distinct ones).

The product of its (nonzero) digits is 4478976, while the sum is 54.

The spelling of 339136823808 in words is "three hundred thirty-nine billion, one hundred thirty-six million, eight hundred twenty-three thousand, eight hundred eight".