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10244314080 = 253357111323103
BaseRepresentation
bin10011000101001101…
…11101001111100000
3222102221111002001000
421202212331033200
5131440021022310
64412311112000
7511602142620
oct114246751740
928387432030
1010244314080
114387714880
121b9a972600
13c734bbb10
146d279c880
153ee56c4c0
hex2629bd3e0

10244314080 has 1536 divisors, whose sum is σ = 50721914880. Its totient is φ = 1861263360.

The previous prime is 10244314043. The next prime is 10244314127. The reversal of 10244314080 is 8041344201.

10244314080 is a `hidden beast` number, since 1 + 0 + 2 + 443 + 140 + 80 = 666.

10244314080 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 99459309 + ... + 99459411.

It is an arithmetic number, because the mean of its divisors is an integer number (33022080).

Almost surely, 210244314080 is an apocalyptic number.

10244314080 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 10244314080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25360957440).

10244314080 is an abundant number, since it is smaller than the sum of its proper divisors (40477600800).

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

10244314080 is a wasteful number, since it uses less digits than its factorization.

10244314080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 181 (or 167 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

Adding to 10244314080 its reverse (8041344201), we get a palindrome (18285658281).

The spelling of 10244314080 in words is "ten billion, two hundred forty-four million, three hundred fourteen thousand, eighty".