Search a number
-
+
13114122014112 = 253719515062521
BaseRepresentation
bin1011111011010101111010…
…0101011000110110100000
31201102200211201012111222220
42332311132211120312200
53204330210213422422
643520313335231040
72522315111615610
oct276653645306640
951380751174886
1013114122014112
1141a6738aa1039
121579730b18480
1374186c157612
14334a26840a40
1517b1dd5a6e5c
hexbed5e958da0

13114122014112 has 48 divisors (see below), whose sum is σ = 39342366044352. Its totient is φ = 3746892003840.

The previous prime is 13114122014083. The next prime is 13114122014117. The reversal of 13114122014112 is 21141022141131.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (13114122014117) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9757530589 + ... + 9757531932.

It is an arithmetic number, because the mean of its divisors is an integer number (819632625924).

Almost surely, 213114122014112 is an apocalyptic number.

13114122014112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

13114122014112 is an abundant number, since it is smaller than the sum of its proper divisors (26228244030240).

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

13114122014112 is a wasteful number, since it uses less digits than its factorization.

13114122014112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19515062541 (or 19515062533 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 24.

Adding to 13114122014112 its reverse (21141022141131), we get a palindrome (34255144155243).

The spelling of 13114122014112 in words is "thirteen trillion, one hundred fourteen billion, one hundred twenty-two million, fourteen thousand, one hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 112 168 224 336 672 19515062521 39030125042 58545187563 78060250084 117090375126 136605437647 156120500168 234180750252 273210875294 312241000336 409816312941 468361500504 546421750588 624482000672 819632625882 936723001008 1092843501176 1639265251764 1873446002016 2185687002352 3278530503528 4371374004704 6557061007056 13114122014112