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13140242325441 = 3371119332655941
BaseRepresentation
bin1011111100110111001101…
…1110011101111111000001
31201112012021002011211001000
42333031303132131333001
53210242204013403231
643540313300202213
72524231311610020
oct277156336357701
951465232154030
1013140242325441
1142068222555a0
121582800699369
1374417280383a
14335dc38d28b7
1517bc1b7c36e6
hexbf37379dfc1

13140242325441 has 64 divisors (see below), whose sum is σ = 25547976345600. Its totient is φ = 6466831473600.

The previous prime is 13140242325439. The next prime is 13140242325449. The reversal of 13140242325441 is 14452324204131.

13140242325441 is a `hidden beast` number, since 1 + 3 + 1 + 40 + 2 + 42 + 32 + 544 + 1 = 666.

It is not a de Polignac number, because 13140242325441 - 21 = 13140242325439 is a prime.

It is a super-2 number, since 2×131402423254412 (a number of 27 digits) contains 22 as substring.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 13140242325396 and 13140242325405.

It is not an unprimeable number, because it can be changed into a prime (13140242325449) 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 63 ways as a sum of consecutive naturals, for example, 166288470 + ... + 166367471.

It is an arithmetic number, because the mean of its divisors is an integer number (399187130400).

Almost surely, 213140242325441 is an apocalyptic number.

13140242325441 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

13140242325441 is a deficient number, since it is larger than the sum of its proper divisors (12407734020159).

13140242325441 is a wasteful number, since it uses less digits than its factorization.

13140242325441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 332655987 (or 332655981 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 36.

Adding to 13140242325441 its reverse (14452324204131), we get a palindrome (27592566529572).

The spelling of 13140242325441 in words is "thirteen trillion, one hundred forty billion, two hundred forty-two million, three hundred twenty-five thousand, four hundred forty-one".

Divisors: 1 3 7 9 11 19 21 27 33 57 63 77 99 133 171 189 209 231 297 399 513 627 693 1197 1463 1881 2079 3591 4389 5643 13167 39501 332655941 997967823 2328591587 2993903469 3659215351 6320462879 6985774761 8981710407 10977646053 18961388637 20957324283 25614507457 32932938159 44243240153 56884165911 62871972849 69525091669 76843522371 98798814477 132729720459 170652497733 208575275007 230530567113 398189161377 486675641683 625725825021 691591701339 1194567484131 1460026925049 1877177475063 4380080775147 13140242325441