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9940942080 = 2834595881
BaseRepresentation
bin10010100001000011…
…01011110100000000
3221122210122011220000
421100201223310000
5130324340121310
64322232520000
7501226420266
oct112041536400
927583564800
109940942080
114241447a13
121b15250000
13c256b0264
146a438c436
153d2ae44c0
hex25086bd00

9940942080 has 180 divisors, whose sum is σ = 35570879652. Its totient is φ = 2650890240.

The previous prime is 9940942073. The next prime is 9940942127. The reversal of 9940942080 is 802490499.

It can be written as a sum of positive squares in 2 ways, for example, as 7415276544 + 2525665536 = 86112^2 + 50256^2 .

It is a tau number, because it is divible by the number of its divisors (180).

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 polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 55740 + ... + 151620.

Almost surely, 29940942080 is an apocalyptic number.

9940942080 is a gapful number since it is divisible by the number (90) 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 9940942080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17785439826).

9940942080 is an abundant number, since it is smaller than the sum of its proper divisors (25629937572).

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

9940942080 is an equidigital number, since it uses as much as digits as its factorization.

9940942080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95914 (or 95891 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The square root of 9940942080 is about 99704.2731280861. The cubic root of 9940942080 is about 2150.1850989008.

The spelling of 9940942080 in words is "nine billion, nine hundred forty million, nine hundred forty-two thousand, eighty".