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2139481344 = 28371131323
BaseRepresentation
bin111111110000101…
…1110010100000000
312112002210220122210
41333201132110000
513340201400334
6552144302120
7104006201640
oct17741362400
95462726583
102139481344
119a8755000
124b8611940
132813325c0
14164206520
15c7c655e9
hex7f85e500

2139481344 has 576 divisors, whose sum is σ = 8043614208. Its totient is φ = 490659840.

The previous prime is 2139481327. The next prime is 2139481349. The reversal of 2139481344 is 4431849312.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2139481349) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 93020917 + ... + 93020939.

It is an arithmetic number, because the mean of its divisors is an integer number (13964608).

Almost surely, 22139481344 is an apocalyptic number.

2139481344 is a gapful number since it is divisible by the number (24) 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 2139481344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4021807104).

2139481344 is an abundant number, since it is smaller than the sum of its proper divisors (5904132864).

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

2139481344 is a wasteful number, since it uses less digits than its factorization.

2139481344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95 (or 59 counting only the distinct ones).

The product of its digits is 82944, while the sum is 39.

The square root of 2139481344 is about 46254.5278216090. The cubic root of 2139481344 is about 1288.5546265620.

The spelling of 2139481344 in words is "two billion, one hundred thirty-nine million, four hundred eighty-one thousand, three hundred forty-four".