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12442341504 = 27341790291
BaseRepresentation
bin10111001011001111…
…10001000010000000
31012010010110102211010
423211213301002000
5200440214412004
65414350320520
7620222105055
oct134547610200
935103412733
1012442341504
11530541736a
1224b2ab9140
1312339ac668
1486068502c
154cc4e9a89
hex2e59f1080

12442341504 has 64 divisors (see below), whose sum is σ = 33856109280. Its totient is φ = 4046284800.

The previous prime is 12442341503. The next prime is 12442341523. The reversal of 12442341504 is 40514324421.

It is a tau number, because it is divible by the number of its divisors (64).

It is not an unprimeable number, because it can be changed into a prime (12442341503) 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, 379402 + ... + 410889.

Almost surely, 212442341504 is an apocalyptic number.

It is an amenable number.

12442341504 is an abundant number, since it is smaller than the sum of its proper divisors (21413767776).

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

12442341504 is an equidigital number, since it uses as much as digits as its factorization.

12442341504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 790349 (or 790337 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 30.

Adding to 12442341504 its reverse (40514324421), we get a palindrome (52956665925).

The spelling of 12442341504 in words is "twelve billion, four hundred forty-two million, three hundred forty-one thousand, five hundred four".

Divisors: 1 2 3 4 6 8 12 16 24 32 41 48 64 82 96 123 128 164 192 246 328 384 492 656 984 1312 1968 2624 3936 5248 7872 15744 790291 1580582 2370873 3161164 4741746 6322328 9483492 12644656 18966984 25289312 32401931 37933968 50578624 64803862 75867936 97205793 101157248 129607724 151735872 194411586 259215448 303471744 388823172 518430896 777646344 1036861792 1555292688 2073723584 3110585376 4147447168 6221170752 12442341504