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10044373240 = 235112331101317
BaseRepresentation
bin10010101101011000…
…01111100011111000
3221221000021000202201
421112230033203320
5131032324420430
64340405435544
7503623522666
oct112654174370
927830230681
1010044373240
114294872310
121b43a0bbb4
13c40c55725
146b3dd3c36
153dbc258ca
hex256b0f8f8

10044373240 has 256 divisors, whose sum is σ = 26903715840. Its totient is φ = 3336960000.

The previous prime is 10044373187. The next prime is 10044373247. The reversal of 10044373240 is 4237344001.

It is a junction number, because it is equal to n+sod(n) for n = 10044373199 and 10044373208.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10044373247) 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, 31685562 + ... + 31685878.

It is an arithmetic number, because the mean of its divisors is an integer number (105092640).

Almost surely, 210044373240 is an apocalyptic number.

10044373240 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 10044373240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13451857920).

10044373240 is an abundant number, since it is smaller than the sum of its proper divisors (16859342600).

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

10044373240 is a wasteful number, since it uses less digits than its factorization.

10044373240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 494 (or 490 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 28.

The spelling of 10044373240 in words is "ten billion, forty-four million, three hundred seventy-three thousand, two hundred forty".