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12444442000 = 245317366013
BaseRepresentation
bin10111001011011111…
…10001110110010000
31012010021102011011021
423211233301312100
5200441234121000
65414503325224
7620246004004
oct134557616620
935107364137
1012444442000
115306621511
1224b3750814
131234266763
14860a70704
154cc7b211a
hex2e5bf1d90

12444442000 has 80 divisors (see below), whose sum is σ = 31860786672. Its totient is φ = 4684953600.

The previous prime is 12444441979. The next prime is 12444442033. The reversal of 12444442000 is 24444421.

It can be written as a sum of positive squares in 8 ways, for example, as 634838416 + 11809603584 = 25196^2 + 108672^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (25).

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 15 ways as a sum of consecutive naturals, for example, 149007 + ... + 217006.

Almost surely, 212444442000 is an apocalyptic number.

12444442000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12444442000 is an abundant number, since it is smaller than the sum of its proper divisors (19416344672).

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

12444442000 is a wasteful number, since it uses less digits than its factorization.

12444442000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 366053 (or 366037 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 25.

Adding to 12444442000 its reverse (24444421), we get a palindrome (12468886421).

The spelling of 12444442000 in words is "twelve billion, four hundred forty-four million, four hundred forty-two thousand".

Divisors: 1 2 4 5 8 10 16 17 20 25 34 40 50 68 80 85 100 125 136 170 200 250 272 340 400 425 500 680 850 1000 1360 1700 2000 2125 3400 4250 6800 8500 17000 34000 366013 732026 1464052 1830065 2928104 3660130 5856208 6222221 7320260 9150325 12444442 14640520 18300650 24888884 29281040 31111105 36601300 45751625 49777768 62222210 73202600 91503250 99555536 124444420 146405200 155555525 183006500 248888840 311111050 366013000 497777680 622222100 732026000 777777625 1244444200 1555555250 2488888400 3111110500 6222221000 12444442000