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12244444040 = 2353726873079
BaseRepresentation
bin10110110011101001…
…10110001110001000
31011121100002012112102
423121310312032020
5200034034202130
65343000532532
7612300025403
oct133164661610
934540065472
1012244444040
115213740044
122458781148
1312019b037a
1484228cd3a
154b9e58645
hex2d9d36388

12244444040 has 64 divisors (see below), whose sum is σ = 28314316800. Its totient is φ = 4762084608.

The previous prime is 12244444001. The next prime is 12244444049. The reversal of 12244444040 is 4044444221.

12244444040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 12244443994 and 12244444012.

It is not an unprimeable number, because it can be changed into a prime (12244444049) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 3975221 + ... + 3978299.

It is an arithmetic number, because the mean of its divisors is an integer number (442411200).

Almost surely, 212244444040 is an apocalyptic number.

12244444040 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 12244444040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14157158400).

12244444040 is an abundant number, since it is smaller than the sum of its proper divisors (16069872760).

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

12244444040 is a wasteful number, since it uses less digits than its factorization.

12244444040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5814 (or 5810 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 29.

Adding to 12244444040 its reverse (4044444221), we get a palindrome (16288888261).

The spelling of 12244444040 in words is "twelve billion, two hundred forty-four million, four hundred forty-four thousand, forty".

Divisors: 1 2 4 5 8 10 20 37 40 74 148 185 296 370 740 1480 2687 3079 5374 6158 10748 12316 13435 15395 21496 24632 26870 30790 53740 61580 99419 107480 113923 123160 198838 227846 397676 455692 497095 569615 795352 911384 994190 1139230 1988380 2278460 3976760 4556920 8273273 16546546 33093092 41366365 66186184 82732730 165465460 306111101 330930920 612222202 1224444404 1530555505 2448888808 3061111010 6122222020 12244444040