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339130045920 = 25355971227743
BaseRepresentation
bin1001110111101011011…
…10011101010111100000
31012102100120000022121010
410323311232131113200
521024014242432140
6415443313500520
733333646554021
oct4736556352740
91172316008533
10339130045920
11120908084a26
1255885b71740
1325c978a7633
14125b1d74c48
158c4cb01880
hex4ef5b9d5e0

339130045920 has 384 divisors, whose sum is σ = 1108009082880. Its totient is φ = 87146178560.

The previous prime is 339130045897. The next prime is 339130045949. The reversal of 339130045920 is 29540031933.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 456433069 + ... + 456433811.

It is an arithmetic number, because the mean of its divisors is an integer number (2885440320).

Almost surely, 2339130045920 is an apocalyptic number.

339130045920 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 339130045920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (554004541440).

339130045920 is an abundant number, since it is smaller than the sum of its proper divisors (768879036960).

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

339130045920 is a wasteful number, since it uses less digits than its factorization.

339130045920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1118 (or 1110 counting only the distinct ones).

The product of its (nonzero) digits is 87480, while the sum is 39.

The spelling of 339130045920 in words is "three hundred thirty-nine billion, one hundred thirty million, forty-five thousand, nine hundred twenty".