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14440120432340 = 22516736061119891
BaseRepresentation
bin1101001000100001101000…
…1111111011011011010100
31220010110110211011110100212
43102020122033323123110
53343041331312313330
650413411051224552
73020156434324061
oct322103217733324
956113424143325
1014440120432340
114668025592689
121752713148158
1380990b590485
1437cc96bcbc68
151a0949b6c295
hexd221a3fb6d4

14440120432340 has 48 divisors (see below), whose sum is σ = 30506935665024. Its totient is φ = 5741253955200.

The previous prime is 14440120432333. The next prime is 14440120432343. The reversal of 14440120432340 is 4323402104441.

It is a junction number, because it is equal to n+sod(n) for n = 14440120432297 and 14440120432306.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14440120432343) 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 15 ways as a sum of consecutive naturals, for example, 120383795 + ... + 120503685.

It is an arithmetic number, because the mean of its divisors is an integer number (635561159688).

Almost surely, 214440120432340 is an apocalyptic number.

14440120432340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14440120432340 is an abundant number, since it is smaller than the sum of its proper divisors (16066815232684).

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

14440120432340 is a wasteful number, since it uses less digits than its factorization.

14440120432340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 156128 (or 156126 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 32.

Adding to 14440120432340 its reverse (4323402104441), we get a palindrome (18763522536781).

The spelling of 14440120432340 in words is "fourteen trillion, four hundred forty billion, one hundred twenty million, four hundred thirty-two thousand, three hundred forty".

Divisors: 1 2 4 5 10 20 167 334 668 835 1670 3340 36061 72122 119891 144244 180305 239782 360610 479564 599455 721220 1198910 2397820 6022187 12044374 20021797 24088748 30110935 40043594 60221870 80087188 100108985 120443740 200217970 400435940 4323389351 8646778702 17293557404 21616946755 43233893510 86467787020 722006021617 1444012043234 2888024086468 3610030108085 7220060216170 14440120432340