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12004114444032 = 28359264921311
BaseRepresentation
bin1010111010101110110011…
…1110100010111100000000
31120111120201101010111221110
42232223230332202330000
53033133411244202112
641310340344523320
72346161101140114
oct256535476427400
946446641114843
1012004114444032
113908a09725577
12141a589780540
13690ca1c41359
142d7006203744
1515c3c425013c
hexaeaecfa2f00

12004114444032 has 72 divisors (see below), whose sum is σ = 32489949703680. Its totient is φ = 3933551610880.

The previous prime is 12004114444019. The next prime is 12004114444039. The reversal of 12004114444032 is 23044441140021.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12004114444039) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 132415344 + ... + 132505967.

It is an arithmetic number, because the mean of its divisors is an integer number (451249301440).

Almost surely, 212004114444032 is an apocalyptic number.

12004114444032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12004114444032 is an abundant number, since it is smaller than the sum of its proper divisors (20485835259648).

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

12004114444032 is an equidigital number, since it uses as much as digits as its factorization.

12004114444032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 264921389 (or 264921375 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 30.

Adding to 12004114444032 its reverse (23044441140021), we get a palindrome (35048555584053).

The spelling of 12004114444032 in words is "twelve trillion, four billion, one hundred fourteen million, four hundred forty-four thousand, thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 59 64 96 118 128 177 192 236 256 354 384 472 708 768 944 1416 1888 2832 3776 5664 7552 11328 15104 22656 45312 264921311 529842622 794763933 1059685244 1589527866 2119370488 3179055732 4238740976 6358111464 8477481952 12716222928 15630357349 16954963904 25432445856 31260714698 33909927808 46891072047 50864891712 62521429396 67819855616 93782144094 101729783424 125042858792 187564288188 203459566848 250085717584 375128576376 500171435168 750257152752 1000342870336 1500514305504 2000685740672 3001028611008 4001371481344 6002057222016 12004114444032