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14542355324541 = 31137103723114827
BaseRepresentation
bin1101001110011110011111…
…1011000101111001111101
31220111020100202011002100210
43103213213323011321331
53401230220430341131
650532355451543033
73030436056504222
oct323474773057175
956436322132323
1014542355324541
1146a741850a330
12176a4a545aa79
138164520ca225
14383bd49ad949
151a34301b7146
hexd39e7ec5e7d

14542355324541 has 32 divisors (see below), whose sum is σ = 21724605116928. Its totient is φ = 8575187307840.

The previous prime is 14542355324537. The next prime is 14542355324591.

It is a happy number.

14542355324541 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 14542355324541 - 22 = 14542355324537 is a prime.

It is a super-2 number, since 2×145423553245412 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14542355324591) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 126588370 + ... + 126703196.

It is an arithmetic number, because the mean of its divisors is an integer number (678893909904).

Almost surely, 214542355324541 is an apocalyptic number.

14542355324541 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

14542355324541 is a deficient number, since it is larger than the sum of its proper divisors (7182249792387).

14542355324541 is a wasteful number, since it uses less digits than its factorization.

14542355324541 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 218601.

The product of its digits is 5760000, while the sum is 48.

It can be divided in two parts, 1454235 and 5324541, that added together give a palindrome (6778776).

The spelling of 14542355324541 in words is "fourteen trillion, five hundred forty-two billion, three hundred fifty-five million, three hundred twenty-four thousand, five hundred forty-one".

Divisors: 1 3 11 33 37 111 407 1221 103723 114827 311169 344481 1140953 1263097 3422859 3789291 3837751 4248599 11513253 12745797 42215261 46734589 126645783 140203767 11910200921 35730602763 131012210131 393036630393 440677434077 1322032302231 4847451774847 14542355324541