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114010240224321 = 3271901951965467
BaseRepresentation
bin11001111011000100010011…
…110111101000110001000001
3112221200021100200000202222200
4121323010103313220301001
5104420420432444134241
61042251325321223413
733004653015143250
oct3173042367506101
9487607320022880
10114010240224321
1133366520402971
1210953b46931b69
134b8017278630c
1420221a7296797
15d2aa046cd4b6
hex67b113de8c41

114010240224321 has 24 divisors (see below), whose sum is σ = 188306385294144. Its totient is φ = 65114437874400.

The previous prime is 114010240224319. The next prime is 114010240224407. The reversal of 114010240224321 is 123422042010411.

114010240224321 is a `hidden beast` number, since 1 + 1 + 4 + 0 + 10 + 2 + 402 + 243 + 2 + 1 = 666.

It is not a de Polignac number, because 114010240224321 - 21 = 114010240224319 is a prime.

It is a super-2 number, since 2×1140102402243212 (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (114010240224821) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 475862971 + ... + 476102496.

It is an arithmetic number, because the mean of its divisors is an integer number (7846099387256).

Almost surely, 2114010240224321 is an apocalyptic number.

It is an amenable number.

114010240224321 is a deficient number, since it is larger than the sum of its proper divisors (74296145069823).

114010240224321 is a wasteful number, since it uses less digits than its factorization.

114010240224321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 951967381 (or 951967378 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

Adding to 114010240224321 its reverse (123422042010411), we get a palindrome (237432282234732).

The spelling of 114010240224321 in words is "one hundred fourteen trillion, ten billion, two hundred forty million, two hundred twenty-four thousand, three hundred twenty-one".

Divisors: 1 3 7 9 21 63 1901 5703 13307 17109 39921 119763 951965467 2855896401 6663758269 8567689203 19991274807 59973824421 1809686352767 5429059058301 12667804469369 16287177174903 38003413408107 114010240224321