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14531144113541 = 1181791060715227
BaseRepresentation
bin1101001101110100101110…
…1011101101110110000101
31220110011102102021120002202
43103131023223231312011
53401034240343113131
650523303200444245
73026561204001656
oct323351353556605
956404372246082
1014531144113541
1146a26950315a0
121768296919685
138153864c1773
1438344da3d52d
151a2ec5d06bcb
hexd374baedd85

14531144113541 has 16 divisors (see below), whose sum is σ = 15856631331840. Its totient is φ = 13206403261680.

The previous prime is 14531144113537. The next prime is 14531144113547.

14531144113541 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 14531144113541 - 22 = 14531144113537 is a prime.

It is a super-2 number, since 2×145311441135412 (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 = 14531144113495 and 14531144113504.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14531144113547) 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, 954293570 + ... + 954308796.

It is an arithmetic number, because the mean of its divisors is an integer number (991039458240).

Almost surely, 214531144113541 is an apocalyptic number.

14531144113541 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

14531144113541 is a deficient number, since it is larger than the sum of its proper divisors (1325487218299).

14531144113541 is a wasteful number, since it uses less digits than its factorization.

14531144113541 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34024.

The product of its digits is 57600, while the sum is 38.

It can be divided in two parts, 1453114 and 4113541, that added together give a palindrome (5566655).

The spelling of 14531144113541 in words is "fourteen trillion, five hundred thirty-one billion, one hundred forty-four million, one hundred thirteen thousand, five hundred forty-one".

Divisors: 1 11 8179 10607 15227 89969 116677 167497 86754653 124541633 161512789 954301183 1369957963 1776640679 1321013101231 14531144113541