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12440270144 = 264328116087
BaseRepresentation
bin10111001010111111…
…10111010101000000
31012002222120012110002
423211133313111000
5200434202121034
65414234055132
7620165360111
oct134537672500
935088505402
1012440270144
1153042320a5
1224b227a4a8
1312334358c3
148602a6208
154cc23ae7e
hex2e57f7540

12440270144 has 56 divisors (see below), whose sum is σ = 25351727808. Its totient is φ = 6053483520.

The previous prime is 12440270131. The next prime is 12440270177. The reversal of 12440270144 is 44107204421.

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 765269 + ... + 781355.

Almost surely, 212440270144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12440270144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12675863904).

12440270144 is an abundant number, since it is smaller than the sum of its proper divisors (12911457664).

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

12440270144 is a wasteful number, since it uses less digits than its factorization.

12440270144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16423 (or 16413 counting only the distinct ones).

The product of its (nonzero) digits is 7168, while the sum is 29.

Adding to 12440270144 its reverse (44107204421), we get a palindrome (56547474565).

The spelling of 12440270144 in words is "twelve billion, four hundred forty million, two hundred seventy thousand, one hundred forty-four".

Divisors: 1 2 4 8 16 32 43 64 86 172 281 344 562 688 1124 1376 2248 2752 4496 8992 12083 16087 17984 24166 32174 48332 64348 96664 128696 193328 257392 386656 514784 691741 773312 1029568 1383482 2766964 4520447 5533928 9040894 11067856 18081788 22135712 36163576 44271424 72327152 144654304 194379221 289308608 388758442 777516884 1555033768 3110067536 6220135072 12440270144