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114067336968 = 23341313540757
BaseRepresentation
bin110101000111011110…
…0010110111100001000
3101220102112211002210000
41222032330112330020
53332102214240333
6124222442523000
711145460236504
oct1521674267410
9356375732700
10114067336968
1144415046622
121a134b06460
13a9ab066c80
145741465304
152e7921e713
hex1a8ef16f08

114067336968 has 80 divisors (see below), whose sum is σ = 344070660780. Its totient is φ = 35097639552.

The previous prime is 114067336909. The next prime is 114067336987. The reversal of 114067336968 is 869633760411.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 112199541444 + 1867795524 = 334962^2 + 43218^2 .

It is a super-2 number, since 2×1140673369682 (a number of 23 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 6761955 + ... + 6778802.

Almost surely, 2114067336968 is an apocalyptic number.

114067336968 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

114067336968 is an abundant number, since it is smaller than the sum of its proper divisors (230003323812).

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

114067336968 is a wasteful number, since it uses less digits than its factorization.

114067336968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13540788 (or 13540775 counting only the distinct ones).

The product of its (nonzero) digits is 3919104, while the sum is 54.

The spelling of 114067336968 in words is "one hundred fourteen billion, sixty-seven million, three hundred thirty-six thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 27 36 39 52 54 72 78 81 104 108 117 156 162 216 234 312 324 351 468 648 702 936 1053 1404 2106 2808 4212 8424 13540757 27081514 40622271 54163028 81244542 108326056 121866813 162489084 176029841 243733626 324978168 352059682 365600439 487467252 528089523 704119364 731200878 974934504 1056179046 1096801317 1408238728 1462401756 1584268569 2112358092 2193602634 2924803512 3168537138 4224716184 4387205268 4752805707 6337074276 8774410536 9505611414 12674148552 14258417121 19011222828 28516834242 38022445656 57033668484 114067336968