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14112034415668 = 2274371355746411
BaseRepresentation
bin1100110101011011011011…
…0011000110010000110100
31211222002121221102221210001
43031112312303012100310
53322202421302300133
650002551253241044
72654363240232040
oct315266663062064
954862557387701
1014112034415668
114550975589362
1216bb00b933184
137b49b3a87cb7
1436b051909020
1519714690587d
hexcd5b6cc6434

14112034415668 has 96 divisors (see below), whose sum is σ = 29296074221568. Its totient is φ = 5822398108800.

The previous prime is 14112034415657. The next prime is 14112034415669. The reversal of 14112034415668 is 86651443021141.

It is a happy number.

14112034415668 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14112034415669) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 304043383 + ... + 304089793.

It is an arithmetic number, because the mean of its divisors is an integer number (305167439808).

Almost surely, 214112034415668 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14112034415668, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14648037110784).

14112034415668 is an abundant number, since it is smaller than the sum of its proper divisors (15184039805900).

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

14112034415668 is a wasteful number, since it uses less digits than its factorization.

14112034415668 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50093 (or 50091 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 46.

The spelling of 14112034415668 in words is "fourteen trillion, one hundred twelve billion, thirty-four million, four hundred fifteen thousand, six hundred sixty-eight".

Divisors: 1 2 4 7 14 28 43 71 86 142 172 284 301 497 602 994 1204 1988 3053 3557 6106 7114 12212 14228 21371 24899 42742 46411 49798 85484 92822 99596 152951 185644 252547 305902 324877 505094 611804 649754 1010188 1070657 1299508 1767829 1995673 2141314 3295181 3535658 3991346 4282628 6590362 7071316 7982692 10859521 13180724 13969711 21719042 23066267 27939422 43438084 46132534 55878844 76016647 92265068 141692783 152033294 165083927 283385566 304066588 330167854 566771132 660335708 991849481 1155587489 1983698962 2311174978 3967397924 4622349956 7098608861 11720958817 14197217722 23441917634 28394435444 46883835268 49690262027 82046711719 99380524054 164093423438 198761048108 328186846876 504001229131 1008002458262 2016004916524 3528008603917 7056017207834 14112034415668