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14432232144001 = 723107226093001
BaseRepresentation
bin1101001000000100010000…
…0100011111110010000001
31220002201010001221220001111
43102001010010133302001
53342424202412102001
650410024222003321
73016460111064640
oct322010404376201
956081101856044
1014432232144001
114664747885921
121751091416541
13808c52231839
1437c7492c3357
151a063738b851
hexd204411fc81

14432232144001 has 48 divisors (see below), whose sum is σ = 17385914407680. Its totient is φ = 11713654656000.

The previous prime is 14432232143993. The next prime is 14432232144023. The reversal of 14432232144001 is 10044123223441.

It is a happy number.

It is not a de Polignac number, because 14432232144001 - 23 = 14432232143993 is a prime.

It is not an unprimeable number, because it can be changed into a prime (14432232144041) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4809139501 + ... + 4809142501.

It is an arithmetic number, because the mean of its divisors is an integer number (362206550160).

Almost surely, 214432232144001 is an apocalyptic number.

It is an amenable number.

14432232144001 is a deficient number, since it is larger than the sum of its proper divisors (2953682263679).

14432232144001 is a wasteful number, since it uses less digits than its factorization.

14432232144001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5854 (or 5747 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 31.

Adding to 14432232144001 its reverse (10044123223441), we get a palindrome (24476355367442).

The spelling of 14432232144001 in words is "fourteen trillion, four hundred thirty-two billion, two hundred thirty-two million, one hundred forty-four thousand, one".

Divisors: 1 7 23 107 161 749 2461 2609 3001 11449 17227 18263 21007 60007 69023 80143 263327 279163 321107 420049 483161 1843289 1954141 2247749 6420749 7385461 7829609 29870441 34358449 44945243 51698227 54807263 180081007 209093087 240509143 687020143 790244327 837768163 1260567049 4809141001 5531710289 5864377141 19268667749 89641193441 134880674243 627488354087 2061747449143 14432232144001