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13440541125132 = 223211277122529821
BaseRepresentation
bin1100001110010101111010…
…1011011110101000001100
31202120220101102100102220100
43003211132223132220030
53230202212012001012
644330255505451100
72555022065362452
oct303453653365014
952526342312810
1013440541125132
114312113086490
121610a4a040a90
1376658c4ccaa4
143467505b49d2
151849453058dc
hexc395eadea0c

13440541125132 has 72 divisors (see below), whose sum is σ = 37197113243472. Its totient is φ = 4058187638400.

The previous prime is 13440541125131. The next prime is 13440541125133. The reversal of 13440541125132 is 23152114504431.

13440541125132 is a `hidden beast` number, since 1 + 3 + 4 + 405 + 4 + 112 + 5 + 132 = 666.

It is an interprime number because it is at equal distance from previous prime (13440541125131) and next prime (13440541125133).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (13440541125131) 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 23 ways as a sum of consecutive naturals, for example, 61155219 + ... + 61374602.

It is an arithmetic number, because the mean of its divisors is an integer number (516626572826).

Almost surely, 213440541125132 is an apocalyptic number.

13440541125132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

13440541125132 is an abundant number, since it is smaller than the sum of its proper divisors (23756572118340).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

13440541125132 is a wasteful number, since it uses less digits than its factorization.

13440541125132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122530119 (or 122530114 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

Adding to 13440541125132 its reverse (23152114504431), we get a palindrome (36592655629563).

The spelling of 13440541125132 in words is "thirteen trillion, four hundred forty billion, five hundred forty-one million, one hundred twenty-five thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 132 198 277 396 554 831 1108 1662 2493 3047 3324 4986 6094 9141 9972 12188 18282 27423 36564 54846 109692 122529821 245059642 367589463 490119284 735178926 1102768389 1347828031 1470357852 2205536778 2695656062 4043484093 4411073556 5391312124 8086968186 12130452279 16173936372 24260904558 33940760417 48521809116 67881520834 101822281251 135763041668 203644562502 305466843753 373348364587 407289125004 610933687506 746696729174 1120045093761 1221867375012 1493393458348 2240090187522 3360135281283 4480180375044 6720270562566 13440541125132