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12244344140 = 2257374157653
BaseRepresentation
bin10110110011101000…
…11101110101001100
31011121022220010111102
423121310131311030
5200034023003030
65342554442232
7612266131220
oct133164356514
934538803442
1012244344140
115213681a86
122458733378
131201976a62
14842264780
154b9e38c45
hex2d9d1dd4c

12244344140 has 96 divisors (see below), whose sum is σ = 30917303424. Its totient is φ = 3984906240.

The previous prime is 12244344131. The next prime is 12244344169. The reversal of 12244344140 is 4144344221.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 183554 + ... + 241206.

It is an arithmetic number, because the mean of its divisors is an integer number (322055244).

Almost surely, 212244344140 is an apocalyptic number.

12244344140 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 12244344140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15458651712).

12244344140 is an abundant number, since it is smaller than the sum of its proper divisors (18672959284).

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

12244344140 is a wasteful number, since it uses less digits than its factorization.

12244344140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57747 (or 57745 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 29.

Adding to 12244344140 its reverse (4144344221), we get a palindrome (16388688361).

The spelling of 12244344140 in words is "twelve billion, two hundred forty-four million, three hundred forty-four thousand, one hundred forty".

Divisors: 1 2 4 5 7 10 14 20 28 35 37 41 70 74 82 140 148 164 185 205 259 287 370 410 518 574 740 820 1036 1148 1295 1435 1517 2590 2870 3034 5180 5740 6068 7585 10619 15170 21238 30340 42476 53095 57653 106190 115306 212380 230612 288265 403571 576530 807142 1153060 1614284 2017855 2133161 2363773 4035710 4266322 4727546 8071420 8532644 9455092 10665805 11818865 14932127 16546411 21331610 23637730 29864254 33092822 42663220 47275460 59728508 66185644 74660635 82732055 87459601 149321270 165464110 174919202 298642540 330928220 349838404 437298005 612217207 874596010 1224434414 1749192020 2448868828 3061086035 6122172070 12244344140