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13221440332032 = 28319051903649
BaseRepresentation
bin1100000001100101101101…
…0000010010000100000000
31201210221211220112221010110
43000121123100102010000
53213110002211111112
644041502411231320
72533134421355142
oct300313320220400
951727756487113
1013221440332032
1142381aa426769
1215964a1748540
1374ba12bb269a
14339cc77dcc92
1517ddc003713c
hexc065b412100

13221440332032 has 72 divisors (see below), whose sum is σ = 35190198551200. Its totient is φ = 4406910566400.

The previous prime is 13221440331949. The next prime is 13221440332033. The reversal of 13221440332032 is 23023304412231.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (13221440332033) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 14179344 + ... + 15082992.

Almost surely, 213221440332032 is an apocalyptic number.

13221440332032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

13221440332032 is an abundant number, since it is smaller than the sum of its proper divisors (21968758219168).

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

13221440332032 is an equidigital number, since it uses as much as digits as its factorization.

13221440332032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 922719 (or 922705 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 30.

Adding to 13221440332032 its reverse (23023304412231), we get a palindrome (36244744744263).

The spelling of 13221440332032 in words is "thirteen trillion, two hundred twenty-one billion, four hundred forty million, three hundred thirty-two thousand, thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 384 768 19051 38102 57153 76204 114306 152408 228612 304816 457224 609632 903649 914448 1219264 1807298 1828896 2438528 2710947 3614596 3657792 4877056 5421894 7229192 7315584 10843788 14458384 14631168 21687576 28916768 43375152 57833536 86750304 115667072 173500608 231334144 347001216 694002432 17215417099 34430834198 51646251297 68861668396 103292502594 137723336792 206585005188 275446673584 413170010376 550893347168 826340020752 1101786694336 1652680041504 2203573388672 3305360083008 4407146777344 6610720166016 13221440332032