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2142140434120 = 235531010443601
BaseRepresentation
bin11111001011000001100…
…001010000011011001000
321120210020110011001100001
4133023001201100123020
5240044100422342440
64320030303452344
7310523144155051
oct37130141203310
97523213131301
102142140434120
1175652747a845
122a71b25b70b4
1312700670051b
1475974491728
153aac6aa1b9a
hex1f2c18506c8

2142140434120 has 32 divisors (see below), whose sum is σ = 4910755905720. Its totient is φ = 840689075200.

The previous prime is 2142140434111. The next prime is 2142140434121. The reversal of 2142140434120 is 214340412412.

It can be written as a sum of positive squares in 4 ways, for example, as 1751212875556 + 390927558564 = 1323334^2 + 625242^2 .

It is not an unprimeable number, because it can be changed into a prime (2142140434121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 505219681 + ... + 505223920.

Almost surely, 22142140434120 is an apocalyptic number.

2142140434120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2142140434120 is an abundant number, since it is smaller than the sum of its proper divisors (2768615471600).

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

2142140434120 is a wasteful number, since it uses less digits than its factorization.

2142140434120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1010443665 (or 1010443661 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 28.

Adding to 2142140434120 its reverse (214340412412), we get a palindrome (2356480846532).

The spelling of 2142140434120 in words is "two trillion, one hundred forty-two billion, one hundred forty million, four hundred thirty-four thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 53 106 212 265 424 530 1060 2120 1010443601 2020887202 4041774404 5052218005 8083548808 10104436010 20208872020 40417744040 53553510853 107107021706 214214043412 267767554265 428428086824 535535108530 1071070217060 2142140434120