Search a number
-
+
2142140370375 = 3538368823787
BaseRepresentation
bin11111001011000001100…
…001000000110111000111
321120210020110000210220010
4133023001201000313013
5240044100413323000
64320030302241303
7310523143501155
oct37130141006707
97523213023803
102142140370375
11756527436965
122a71b2586233
131270066aa4c5
14759744763d5
153aac6a8cd50
hex1f2c1840dc7

2142140370375 has 32 divisors (see below), whose sum is σ = 3607467671808. Its totient is φ = 1128710090400.

The previous prime is 2142140370371. The next prime is 2142140370379. The reversal of 2142140370375 is 5730730412412.

It is an interprime number because it is at equal distance from previous prime (2142140370371) and next prime (2142140370379).

It is not a de Polignac number, because 2142140370375 - 22 = 2142140370371 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2142140370371) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 34380769 + ... + 34443018.

It is an arithmetic number, because the mean of its divisors is an integer number (112733364744).

Almost surely, 22142140370375 is an apocalyptic number.

2142140370375 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

2142140370375 is a deficient number, since it is larger than the sum of its proper divisors (1465327301433).

2142140370375 is an equidigital number, since it uses as much as digits as its factorization.

2142140370375 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68823888 (or 68823878 counting only the distinct ones).

The product of its (nonzero) digits is 141120, while the sum is 39.

Adding to 2142140370375 its reverse (5730730412412), we get a palindrome (7872870782787).

The spelling of 2142140370375 in words is "two trillion, one hundred forty-two billion, one hundred forty million, three hundred seventy thousand, three hundred seventy-five".

Divisors: 1 3 5 15 25 75 83 125 249 375 415 1245 2075 6225 10375 31125 68823787 206471361 344118935 1032356805 1720594675 5161784025 5712374321 8602973375 17137122963 25808920125 28561871605 85685614815 142809358025 428428074075 714046790125 2142140370375