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19040641440 = 25353110711959
BaseRepresentation
bin10001101110111010…
…010010000110100000
31211010222022210201020
4101232322102012200
5302443401011230
612425215005440
71242562532112
oct215672220640
954128283636
1019040641440
118090a44807
123834809880
131a459ca252
14cc8b173b2
15766916810
hex46ee921a0

19040641440 has 192 divisors, whose sum is σ = 62496645120. Its totient is φ = 4867384320.

The previous prime is 19040641429. The next prime is 19040641453. The reversal of 19040641440 is 4414604091.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1586181 + ... + 1598139.

It is an arithmetic number, because the mean of its divisors is an integer number (325503360).

Almost surely, 219040641440 is an apocalyptic number.

19040641440 is a gapful number since it is divisible by the number (10) 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 19040641440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31248322560).

19040641440 is an abundant number, since it is smaller than the sum of its proper divisors (43456003680).

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

19040641440 is a wasteful number, since it uses less digits than its factorization.

19040641440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12115 (or 12107 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 33.

The spelling of 19040641440 in words is "nineteen billion, forty million, six hundred forty-one thousand, four hundred forty".