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2139241104 = 2434711131797
BaseRepresentation
bin111111110000010…
…0011101010010000
312112002100201010000
41333200203222100
513340121203404
6552135210000
7104004151350
oct17740435220
95462321100
102139241104
119a8600560
124b8516900
1328127a150
14164182b60
15c7c19339
hex7f823a90

2139241104 has 800 divisors, whose sum is σ = 8892930816. Its totient is φ = 477757440.

The previous prime is 2139241043. The next prime is 2139241171. The reversal of 2139241104 is 4011429312.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 22053984 + ... + 22054080.

Almost surely, 22139241104 is an apocalyptic number.

2139241104 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 2139241104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4446465408).

2139241104 is an abundant number, since it is smaller than the sum of its proper divisors (6753689712).

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

2139241104 is a wasteful number, since it uses less digits than its factorization.

2139241104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 165 (or 150 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 2139241104 is about 46251.9308137509. The cubic root of 2139241104 is about 1288.5063946308.

The spelling of 2139241104 in words is "two billion, one hundred thirty-nine million, two hundred forty-one thousand, one hundred four".