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5145422340114 = 234723971632749
BaseRepresentation
bin100101011100000001100…
…0100100010000000010010
3200012220020022220102110000
41022320003010202000102
51133300311104340424
614535435133550430
71040513235154200
oct112700304420022
920186208812400
105145422340114
111704185852021
126b1273645416
132b4299148a24
1413b07b1b4070
158dc9e4c23c9
hex4ae03122012

5145422340114 has 120 divisors (see below), whose sum is σ = 13445725639500. Its totient is φ = 1466416695744.

The previous prime is 5145422340089. The next prime is 5145422340127. The reversal of 5145422340114 is 4110432245415.

5145422340114 is a `hidden beast` number, since 5 + 14 + 5 + 4 + 223 + 401 + 14 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 5141252409489 + 4169930625 = 2267433^2 + 64575^2 .

It is a Curzon number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 2335012 + ... + 3967760.

Almost surely, 25145422340114 is an apocalyptic number.

5145422340114 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 5145422340114, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6722862819750).

5145422340114 is an abundant number, since it is smaller than the sum of its proper divisors (8300303299386).

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

5145422340114 is a wasteful number, since it uses less digits than its factorization.

5145422340114 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1633174 (or 1633158 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 36.

Adding to 5145422340114 its reverse (4110432245415), we get a palindrome (9255854585529).

The spelling of 5145422340114 in words is "five trillion, one hundred forty-five billion, four hundred twenty-two million, three hundred forty thousand, one hundred fourteen".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 49 54 63 81 98 126 147 162 189 294 378 397 441 567 794 882 1134 1191 1323 2382 2646 2779 3573 3969 5558 7146 7938 8337 10719 16674 19453 21438 25011 32157 38906 50022 58359 64314 75033 116718 150066 175077 225099 350154 450198 525231 1050462 1575693 1632749 3151386 3265498 4898247 9796494 11429243 14694741 22858486 29389482 34287729 44084223 68575458 80004701 88168446 102863187 132252669 160009402 205726374 240014103 264505338 308589561 480028206 617179122 648201353 720042309 925768683 1296402706 1440084618 1851537366 1944604059 2160126927 3889208118 4320253854 4537409471 5833812177 6480380781 9074818942 11667624354 12960761562 13612228413 17501436531 27224456826 31761866297 35002873062 40836685239 52504309593 63523732594 81673370478 95285598891 105008619186 122510055717 190571197782 245020111434 285856796673 367530167151 571713593346 735060334302 857570390019 1715140780038 2572711170057 5145422340114