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14545411454541 = 31134007909091
BaseRepresentation
bin1101001110101001111000…
…0101010011011001001101
31220111112020201210120120210
43103222132011103121031
53401303000313021131
650534023023233033
73030604566255222
oct323523605233115
956445221716523
1014545411454541
1146a8746628000
12176abb8a48779
1381681b305086
14384004827949
151a355d647146
hexd3a9e15364d

14545411454541 has 32 divisors (see below), whose sum is σ = 21337160150016. Its totient is φ = 8813191186800.

The previous prime is 14545411454533. The next prime is 14545411454549.

14545411454541 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (14545411454533) and next prime (14545411454549).

It is not a de Polignac number, because 14545411454541 - 23 = 14545411454533 is a prime.

It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14545411454549) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15545406 + ... + 16454496.

It is an arithmetic number, because the mean of its divisors is an integer number (666786254688).

Almost surely, 214545411454541 is an apocalyptic number.

14545411454541 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

14545411454541 is a deficient number, since it is larger than the sum of its proper divisors (6791748695475).

14545411454541 is an equidigital number, since it uses as much as digits as its factorization.

14545411454541 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 913134 (or 913112 counting only the distinct ones).

The product of its digits is 2560000, while the sum is 48.

The spelling of 14545411454541 in words is "fourteen trillion, five hundred forty-five billion, four hundred eleven million, four hundred fifty-four thousand, five hundred forty-one".

Divisors: 1 3 11 33 121 363 1331 3993 4007 12021 44077 132231 484847 909091 1454541 2727273 5333317 10000001 15999951 30000003 110000011 330000033 1210000121 3630000363 3642727637 10928182911 40070004007 120210012021 440770044077 1322310132231 4848470484847 14545411454541