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13144104044133 = 325135960118089
BaseRepresentation
bin1011111101000101100110…
…1001110000011001100101
31201112120020012200110012020
42333101121221300121211
53210323111113403013
643542152410213353
72524426102642056
oct277213151603145
951476205613166
1013144104044133
114208424080a47
1215834b9a24259
1374463989a29a
1433626c72c72d
1517bd95831623
hexbf459a70665

13144104044133 has 32 divisors (see below), whose sum is σ = 17649423590400. Its totient is φ = 8700989520000.

The previous prime is 13144104044119. The next prime is 13144104044177. The reversal of 13144104044133 is 33144040144131.

It is not a de Polignac number, because 13144104044133 - 28 = 13144104043877 is a prime.

It is a super-2 number, since 2×131441040441332 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 13144104044094 and 13144104044103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13144104044333) 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, 1624931553 + ... + 1624939641.

It is an arithmetic number, because the mean of its divisors is an integer number (551544487200).

Almost surely, 213144104044133 is an apocalyptic number.

It is an amenable number.

13144104044133 is a deficient number, since it is larger than the sum of its proper divisors (4505319546267).

13144104044133 is a wasteful number, since it uses less digits than its factorization.

13144104044133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14713.

The product of its (nonzero) digits is 27648, while the sum is 33.

Adding to 13144104044133 its reverse (33144040144131), we get a palindrome (46288144188264).

The spelling of 13144104044133 in words is "thirteen trillion, one hundred forty-four billion, one hundred four million, forty-four thousand, one hundred thirty-three".

Divisors: 1 3 251 359 753 1077 6011 8089 18033 24267 90109 270327 1508761 2030339 2157949 2903951 4526283 6091017 6473847 8711853 48622979 145868937 541645199 728891701 1624935597 2186675103 12204367729 17455649461 36613103187 52366948383 4381368014711 13144104044133