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1432034240131 = 111722933746093
BaseRepresentation
bin10100110101101011111…
…001000110011010000011
312001220022221001210201001
4110311223321012122003
5141430301231141011
63013511211352431
7205314100126105
oct24655371063203
95056287053631
101432034240131
1150235aaa5010
121b1655452717
13a506a574251
144d44cca3575
15273b56617c1
hex14d6be46683

1432034240131 has 48 divisors (see below), whose sum is σ = 1721876401440. Its totient is φ = 1179483217920.

The previous prime is 1432034240083. The next prime is 1432034240171. The reversal of 1432034240131 is 1310424302341.

It is a happy number.

It is not a de Polignac number, because 1432034240131 - 29 = 1432034239619 is a prime.

It is a super-2 number, since 2×14320342401312 (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 1432034240131.

It is not an unprimeable number, because it can be changed into a prime (1432034240171) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 31045321 + ... + 31091413.

It is an arithmetic number, because the mean of its divisors is an integer number (35872425030).

Almost surely, 21432034240131 is an apocalyptic number.

1432034240131 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

1432034240131 is a deficient number, since it is larger than the sum of its proper divisors (289842161309).

1432034240131 is a wasteful number, since it uses less digits than its factorization.

1432034240131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46504 (or 46487 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 28.

Adding to 1432034240131 its reverse (1310424302341), we get a palindrome (2742458542472).

The spelling of 1432034240131 in words is "one trillion, four hundred thirty-two billion, thirty-four million, two hundred forty thousand, one hundred thirty-one".

Divisors: 1 11 17 29 187 289 319 337 493 3179 3707 5423 5729 8381 9773 46093 63019 92191 97393 107503 166141 507023 783581 1071323 1336697 1827551 2824397 8619391 13320877 14703667 15533341 22723849 31068367 146529647 170866751 249962339 264066797 386305433 450466889 2904734767 4249359763 4489135549 4955135779 7657937113 49380491039 84237308243 130184930921 1432034240131