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14542344324541 = 1125138399113877
BaseRepresentation
bin1101001110011110011101…
…0001001000010110111101
31220111020022222110020012101
43103213213101020112331
53401230210121341131
650532354420105101
73030435564141235
oct323474721102675
956436288406171
1014542344324541
1146a7412286920
12176a4a1835191
1381644ca48457
14383bd3348cc5
151a342e242c61
hexd39e74485bd

14542344324541 has 32 divisors (see below), whose sum is σ = 15986432802816. Its totient is φ = 13119064200000.

The previous prime is 14542344324527. The next prime is 14542344324553.

14542344324541 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 14542344324541 - 27 = 14542344324413 is a prime.

It is a super-2 number, since 2×145423443245412 (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 = 14542344324491 and 14542344324500.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14542344324041) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1047938895 + ... + 1047952771.

It is an arithmetic number, because the mean of its divisors is an integer number (499576025088).

Almost surely, 214542344324541 is an apocalyptic number.

14542344324541 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

14542344324541 is a deficient number, since it is larger than the sum of its proper divisors (1444088478275).

14542344324541 is a wasteful number, since it uses less digits than its factorization.

14542344324541 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15513.

The product of its digits is 3686400, while the sum is 46.

It can be divided in two parts, 1454234 and 4324541, that added together give a palindrome (5778775).

The spelling of 14542344324541 in words is "fourteen trillion, five hundred forty-two billion, three hundred forty-four million, three hundred twenty-four thousand, five hundred forty-one".

Divisors: 1 11 251 383 991 2761 4213 10901 13877 96133 152647 248741 379553 1057463 2736151 3483127 4175083 5314891 13752107 38314397 58463801 95267803 151273177 1047945833 1334037641 3451778857 5267056981 14674414051 37969567427 57937626791 1322031302231 14542344324541