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4013140112142 = 237296315221649
BaseRepresentation
bin111010011001100001110…
…010100111001100001110
3112012122121122010120010020
4322121201302213030032
51011222402332042032
612311340000123010
7562640232056010
oct72314162471416
915178548116106
104013140112142
111307a65a75387
12549934606466
1323158c216815
14dc34653c1b0
156e5ce886b2c
hex3a661ca730e

4013140112142 has 64 divisors (see below), whose sum is σ = 9504238464000. Its totient is φ = 1105318448640.

The previous prime is 4013140112129. The next prime is 4013140112147. The reversal of 4013140112142 is 2412110413104.

It is a happy number.

4013140112142 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×40131401121422 (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4013140112147) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1842267 + ... + 3379382.

It is an arithmetic number, because the mean of its divisors is an integer number (148503726000).

Almost surely, 24013140112142 is an apocalyptic number.

4013140112142 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

4013140112142 is an abundant number, since it is smaller than the sum of its proper divisors (5491098351858).

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

4013140112142 is a wasteful number, since it uses less digits than its factorization.

4013140112142 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5222321.

The product of its (nonzero) digits is 768, while the sum is 24.

Adding to 4013140112142 its reverse (2412110413104), we get a palindrome (6425250525246).

The spelling of 4013140112142 in words is "four trillion, thirteen billion, one hundred forty million, one hundred twelve thousand, one hundred forty-two".

Divisors: 1 2 3 6 7 14 21 29 42 58 87 174 203 406 609 631 1218 1262 1893 3786 4417 8834 13251 18299 26502 36598 54897 109794 128093 256186 384279 768558 5221649 10443298 15664947 31329894 36551543 73103086 109654629 151427821 219309258 302855642 454283463 908566926 1059994747 2119989494 3179984241 3294860519 6359968482 6589721038 9884581557 19769163114 23064023633 46128047266 69192070899 95550955051 138384141798 191101910102 286652865153 573305730306 668856685357 1337713370714 2006570056071 4013140112142