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12444442304 = 267113245821
BaseRepresentation
bin10111001011011111…
…10001111011000000
31012010021102011120112
423211233301323000
5200441234123204
65414503330452
7620246004620
oct134557617300
935107364515
1012444442304
115306621768
1224b3750a28
131234266938
14860a70880
154cc7b226e
hex2e5bf1ec0

12444442304 has 56 divisors (see below), whose sum is σ = 28472087328. Its totient is φ = 5286113280.

The previous prime is 12444442301. The next prime is 12444442393. The reversal of 12444442304 is 40324444421.

It is a tau number, because it is divible by the number of its divisors (56).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is not an unprimeable number, because it can be changed into a prime (12444442301) by changing a digit.

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, 72287 + ... + 173534.

Almost surely, 212444442304 is an apocalyptic number.

12444442304 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

12444442304 is an abundant number, since it is smaller than the sum of its proper divisors (16027645024).

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

12444442304 is a wasteful number, since it uses less digits than its factorization.

12444442304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 245953 (or 245943 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 32.

Adding to 12444442304 its reverse (40324444421), we get a palindrome (52768886725).

The spelling of 12444442304 in words is "twelve billion, four hundred forty-four million, four hundred forty-two thousand, three hundred four".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 113 224 226 448 452 791 904 1582 1808 3164 3616 6328 7232 12656 25312 50624 245821 491642 983284 1720747 1966568 3441494 3933136 6882988 7866272 13765976 15732544 27531952 27777773 55063904 55555546 110127808 111111092 194444411 222222184 388888822 444444368 777777644 888888736 1555555288 1777777472 3111110576 6222221152 12444442304