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14440100340031 = 3713720531387583
BaseRepresentation
bin1101001000100001100100…
…0011010010000100111111
31220010110102102100122220021
43102020121003102010333
53343041311141340111
650413405052433011
73020156101461652
oct322103103220477
956113372318807
1014440100340031
114668015209a73
121752708478767
13809907377032
1437cc9427b899
151a0947eedd71
hexd22190d213f

14440100340031 has 16 divisors (see below), whose sum is σ = 14945911478784. Its totient is φ = 13940470220544.

The previous prime is 14440100340013. The next prime is 14440100340047. The reversal of 14440100340031 is 13004300104441.

It is a cyclic number.

It is not a de Polignac number, because 14440100340031 - 29 = 14440100339519 is a prime.

It is a super-2 number, since 2×144401003400312 (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 14440100339978 and 14440100340005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14440170340031) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9712866 + ... + 11100448.

It is an arithmetic number, because the mean of its divisors is an integer number (934119467424).

Almost surely, 214440100340031 is an apocalyptic number.

14440100340031 is a deficient number, since it is larger than the sum of its proper divisors (505811138753).

14440100340031 is a wasteful number, since it uses less digits than its factorization.

14440100340031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1389810.

The product of its (nonzero) digits is 2304, while the sum is 25.

Adding to 14440100340031 its reverse (13004300104441), we get a palindrome (27444400444472).

The spelling of 14440100340031 in words is "fourteen trillion, four hundred forty billion, one hundred million, three hundred forty thousand, thirty-one".

Divisors: 1 37 137 2053 5069 75961 281261 1387583 10406657 51340571 190098871 2848707899 7033658227 105402192263 390272982163 14440100340031