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13831051713138 = 23211569122765899
BaseRepresentation
bin1100100101000100101011…
…1011001001101001110010
31210222020100202220201211200
43021101022323021221302
53303101443214310023
645225521502552030
72625155232534342
oct311211273115162
953866322821750
1013831051713138
114452797132130
121674673298616
13794354b7213a
1435b5d8364d22
1518eb9da9b743
hexc944aec9a72

13831051713138 has 48 divisors (see below), whose sum is σ = 32749031484000. Its totient is φ = 4183861803840.

The previous prime is 13831051713119. The next prime is 13831051713191. The reversal of 13831051713138 is 83131715013831.

13831051713138 is a `hidden beast` number, since 1 + 3 + 8 + 310 + 5 + 17 + 1 + 313 + 8 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 13831051713093 and 13831051713102.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 61270288 + ... + 61495611.

It is an arithmetic number, because the mean of its divisors is an integer number (682271489250).

Almost surely, 213831051713138 is an apocalyptic number.

13831051713138 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

13831051713138 is an abundant number, since it is smaller than the sum of its proper divisors (18917979770862).

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

13831051713138 is a wasteful number, since it uses less digits than its factorization.

13831051713138 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122766487 (or 122766484 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 45.

Adding to 13831051713138 its reverse (83131715013831), we get a palindrome (96962766726969).

The spelling of 13831051713138 in words is "thirteen trillion, eight hundred thirty-one billion, fifty-one million, seven hundred thirteen thousand, one hundred thirty-eight".

Divisors: 1 2 3 6 9 11 18 22 33 66 99 198 569 1138 1707 3414 5121 6259 10242 12518 18777 37554 56331 112662 122765899 245531798 368297697 736595394 1104893091 1350424889 2209786182 2700849778 4051274667 8102549334 12153824001 24307648002 69853796531 139707593062 209561389593 419122779186 628684168779 768391761841 1257368337558 1536783523682 2305175285523 4610350571046 6915525856569 13831051713138