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12444442144 = 251818212617
BaseRepresentation
bin10111001011011111…
…10001111000100000
31012010021102011100121
423211233301320200
5200441234122034
65414503330024
7620246004301
oct134557617040
935107364317
1012444442144
115306621632
1224b3750914
131234266844
14860a707a8
154cc7b21b4
hex2e5bf1e20

12444442144 has 48 divisors (see below), whose sum is σ = 24674786136. Its totient is φ = 6177945600.

The previous prime is 12444442121. The next prime is 12444442147. The reversal of 12444442144 is 44124444421.

It can be written as a sum of positive squares in 4 ways, for example, as 9196810000 + 3247632144 = 95900^2 + 56988^2 .

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (12444442147) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4753924 + ... + 4756540.

Almost surely, 212444442144 is an apocalyptic number.

It is an amenable number.

12444442144 is a deficient number, since it is larger than the sum of its proper divisors (12230343992).

12444442144 is a wasteful number, since it uses less digits than its factorization.

12444442144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3629 (or 3621 counting only the distinct ones).

The product of its digits is 65536, while the sum is 34.

Adding to 12444442144 its reverse (44124444421), we get a palindrome (56568886565).

The spelling of 12444442144 in words is "twelve billion, four hundred forty-four million, four hundred forty-two thousand, one hundred forty-four".

Divisors: 1 2 4 8 16 32 181 362 724 821 1448 1642 2617 2896 3284 5234 5792 6568 10468 13136 20936 26272 41872 83744 148601 297202 473677 594404 947354 1188808 1894708 2148557 2377616 3789416 4297114 4755232 7578832 8594228 15157664 17188456 34376912 68753824 388888817 777777634 1555555268 3111110536 6222221072 12444442144