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14413200231441 = 3112391827462943
BaseRepresentation
bin1101000110111101010110…
…1011100000110000010001
31220000212222201001120010010
43101233111223200300101
53342121213224401231
650353155514025133
73015214352356254
oct321572553406021
956025881046103
1014413200231441
114657670863270
12174945b7181a9
1380720b29c70b
1437b8617dd09b
1519edc15eb546
hexd1bd5ae0c11

14413200231441 has 16 divisors (see below), whose sum is σ = 21052373114880. Its totient is φ = 8698723603920.

The previous prime is 14413200231439. The next prime is 14413200231491.

It is a happy number.

14413200231441 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 14413200231441 - 21 = 14413200231439 is a prime.

It is a super-2 number, since 2×144132002314412 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 14413200231399 and 14413200231408.

It is not an unprimeable number, because it can be changed into a prime (14413200231491) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 913723585 + ... + 913739358.

It is an arithmetic number, because the mean of its divisors is an integer number (1315773319680).

Almost surely, 214413200231441 is an apocalyptic number.

14413200231441 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

14413200231441 is a deficient number, since it is larger than the sum of its proper divisors (6639172883439).

14413200231441 is a wasteful number, since it uses less digits than its factorization.

14413200231441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1827463196.

The product of its (nonzero) digits is 9216, while the sum is 30.

It can be divided in two parts, 14413200 and 231441, that added together give a palindrome (14644641).

The spelling of 14413200231441 in words is "fourteen trillion, four hundred thirteen billion, two hundred million, two hundred thirty-one thousand, four hundred forty-one".

Divisors: 1 3 11 33 239 717 2629 7887 1827462943 5482388829 20102092373 60306277119 436763643377 1310290930131 4804400077147 14413200231441