Search a number
-
+
114243013412039 = 19591372778213271
BaseRepresentation
bin11001111110011101000110…
…001110111000010011000111
3112222111112012000211220020102
4121332131012032320103013
5104433224142413141124
61042550303230354315
733030533241453431
oct3176350616702307
9488445160756212
10114243013412039
113344620a842076
121099108a05b99b
134b990ba86a755
14202d569c27651
15d31ac9e6baae
hex67e7463b84c7

114243013412039 has 64 divisors (see below), whose sum is σ = 123819840691200. Its totient is φ = 105077587737600.

The previous prime is 114243013411981. The next prime is 114243013412063. The reversal of 114243013412039 is 930214310342411.

It is a cyclic number.

It is not a de Polignac number, because 114243013412039 - 220 = 114243012363463 is a prime.

It is a super-2 number, since 2×1142430134120392 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 114243013411993 and 114243013412011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114243013472039) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 34926018974 + ... + 34926022244.

It is an arithmetic number, because the mean of its divisors is an integer number (1934685010800).

Almost surely, 2114243013412039 is an apocalyptic number.

114243013412039 is a gapful number since it is divisible by the number (19) formed by its first and last digit.

114243013412039 is a deficient number, since it is larger than the sum of its proper divisors (9576827279161).

114243013412039 is a wasteful number, since it uses less digits than its factorization.

114243013412039 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4584.

The product of its (nonzero) digits is 62208, while the sum is 38.

The spelling of 114243013412039 in words is "one hundred fourteen trillion, two hundred forty-three billion, thirteen million, four hundred twelve thousand, thirty-nine".

Divisors: 1 19 59 137 277 821 1121 2603 3271 5263 8083 15599 16343 37949 48439 62149 112477 153577 192989 227417 310517 448127 721031 906067 920341 2137063 2238991 2685491 3666791 4320923 6636143 8514413 13417603 17215273 26439493 31156129 42540829 51024329 53457953 124131179 126086717 158443969 254934457 367912267 502350367 591966451 743881007 1015701107 1838211611 2358492401 3010435411 6990333073 7323739561 14133739133 21706823753 34926020609 43888979413 101911697959 139151051659 412429651307 833890608847 1936322261221 6012790179581 114243013412039