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10024440012 = 2233161957331
BaseRepresentation
bin10010101011000000…
…01101000011001100
3221212121202022112000
421111200031003030
5131012224040022
64334414312300
7503262222426
oct112540150314
927777668460
1010024440012
114284598174
121b391b8690
13c39a96812
146b14c5816
153da0d96ac
hex25580d0cc

10024440012 has 48 divisors (see below), whose sum is σ = 26005795200. Its totient is φ = 3339357840.

The previous prime is 10024440001. The next prime is 10024440061. The reversal of 10024440012 is 21004442001.

10024440012 is a `hidden beast` number, since 10 + 0 + 244 + 400 + 12 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 146187 + ... + 203517.

It is an arithmetic number, because the mean of its divisors is an integer number (541787400).

Almost surely, 210024440012 is an apocalyptic number.

10024440012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10024440012 is an abundant number, since it is smaller than the sum of its proper divisors (15981355188).

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

10024440012 is a wasteful number, since it uses less digits than its factorization.

10024440012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58963 (or 58955 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 10024440012 its reverse (21004442001), we get a palindrome (31028882013).

The spelling of 10024440012 in words is "ten billion, twenty-four million, four hundred forty thousand, twelve".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 1619 3238 4857 6476 9714 14571 19428 29142 43713 57331 58284 87426 114662 171993 174852 229324 343986 515979 687972 1031958 1547937 2063916 3095874 6191748 92818889 185637778 278456667 371275556 556913334 835370001 1113826668 1670740002 2506110003 3341480004 5012220006 10024440012