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13440748888872 = 23321011848287801
BaseRepresentation
bin1100001110010110101100…
…0100000010001100101000
31202120220220220021221011200
43003211223010002030220
53230203123203420442
644330332250524200
72555030200343604
oct303455304021450
952526826257150
1013440748888872
11431220a391458
121610aa7736660
137665c3574b06
14346770018504
1518495869534c
hexc396b102328

13440748888872 has 48 divisors (see below), whose sum is σ = 36762444381780. Its totient is φ = 4435890720000.

The previous prime is 13440748888841. The next prime is 13440748888873. The reversal of 13440748888872 is 27888884704431.

13440748888872 is a `hidden beast` number, since 1 + 34 + 40 + 7 + 488 + 8 + 8 + 8 + 72 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 11211956677476 + 2228792211396 = 3348426^2 + 1492914^2 .

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a self number, because there is not a number n which added to its sum of digits gives 13440748888872.

It is not an unprimeable number, because it can be changed into a prime (13440748888873) 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 11 ways as a sum of consecutive naturals, for example, 924136629 + ... + 924151172.

Almost surely, 213440748888872 is an apocalyptic number.

13440748888872 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

13440748888872 is an abundant number, since it is smaller than the sum of its proper divisors (23321695492908).

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

13440748888872 is a wasteful number, since it uses less digits than its factorization.

13440748888872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1848287914 (or 1848287907 counting only the distinct ones).

The product of its (nonzero) digits is 616562688, while the sum is 72.

The spelling of 13440748888872 in words is "thirteen trillion, four hundred forty billion, seven hundred forty-eight million, eight hundred eighty-eight thousand, eight hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 101 202 303 404 606 808 909 1212 1818 2424 3636 7272 1848287801 3696575602 5544863403 7393151204 11089726806 14786302408 16634590209 22179453612 33269180418 44358907224 66538360836 133076721672 186677067901 373354135802 560031203703 746708271604 1120062407406 1493416543208 1680093611109 2240124814812 3360187222218 4480249629624 6720374444436 13440748888872