Search a number
-
+
140424055222113 = 32136079611974149
BaseRepresentation
bin11111111011011100000101…
…111011011110111101100001
3200102012102000211221210210100
4133323130011323132331201
5121401201431114101423
61214353530450053013
741402205665145015
oct3773340573367541
9612172024853710
10140424055222113
114081a564363aa3
12138bb157b7a169
136047c15911380
1426967bc182545
151137b42b83343
hex7fb705edef61

140424055222113 has 24 divisors (see below), whose sum is σ = 218437889178600. Its totient is φ = 86414617301760.

The previous prime is 140424055222111. The next prime is 140424055222123. The reversal of 140424055222113 is 311222550424041.

140424055222113 is a `hidden beast` number, since 1 + 4 + 0 + 42 + 40 + 552 + 2 + 21 + 1 + 3 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 3966916690944 + 136457138531169 = 1991712^2 + 11681487^2 .

It is not a de Polignac number, because 140424055222113 - 21 = 140424055222111 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (140424055222111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 70144363 + ... + 72118511.

It is an arithmetic number, because the mean of its divisors is an integer number (9101578715775).

Almost surely, 2140424055222113 is an apocalyptic number.

140424055222113 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

140424055222113 is a deficient number, since it is larger than the sum of its proper divisors (78013833956487).

140424055222113 is a wasteful number, since it uses less digits than its factorization.

140424055222113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2582129 (or 2582126 counting only the distinct ones).

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

The spelling of 140424055222113 in words is "one hundred forty trillion, four hundred twenty-four billion, fifty-five million, two hundred twenty-two thousand, one hundred thirteen".

Divisors: 1 3 9 13 39 117 607961 1823883 1974149 5471649 5922447 7903493 17767341 23710479 25663937 71131437 76991811 230975433 1200205600189 3600616800567 10801850401701 15602672802457 46808018407371 140424055222113