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14114131040112 = 2434319135802313
BaseRepresentation
bin1100110101100011001111…
…0001000101011101110000
31211222022001001121111211020
43031120303301011131300
53322221220021240422
650003535311215440
72654466216236535
oct315306361053560
954868031544736
1014114131040112
114551851021334
1216bb4b5b17580
137b4c5926358c
1436b1b0156d8c
1519721aa0295c
hexcd633c45770

14114131040112 has 80 divisors (see below), whose sum is σ = 37504785635328. Its totient is φ = 4571239196160.

The previous prime is 14114131040063. The next prime is 14114131040117. The reversal of 14114131040112 is 21104013141141.

It is a happy number.

14114131040112 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14114131040117) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17506933 + ... + 18295380.

Almost surely, 214114131040112 is an apocalyptic number.

14114131040112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

14114131040112 is an abundant number, since it is smaller than the sum of its proper divisors (23390654595216).

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

14114131040112 is a wasteful number, since it uses less digits than its factorization.

14114131040112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35802558 (or 35802552 counting only the distinct ones).

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

Adding to 14114131040112 its reverse (21104013141141), we get a palindrome (35218144181253).

The spelling of 14114131040112 in words is "fourteen trillion, one hundred fourteen billion, one hundred thirty-one million, forty thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 43 48 86 129 172 191 258 344 382 516 573 688 764 1032 1146 1528 2064 2292 3056 4584 8213 9168 16426 24639 32852 49278 65704 98556 131408 197112 394224 35802313 71604626 107406939 143209252 214813878 286418504 429627756 572837008 859255512 1539499459 1718511024 3078998918 4618498377 6157997836 6838241783 9236996754 12315995672 13676483566 18473993508 20514725349 24631991344 27352967132 36947987016 41029450698 54705934264 73895974032 82058901396 109411868528 164117802792 294044396669 328235605584 588088793338 882133190007 1176177586676 1764266380014 2352355173352 3528532760028 4704710346704 7057065520056 14114131040112