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2142430731 = 327142723831
BaseRepresentation
bin111111110110010…
…1110011000001011
312112022100202110100
41333230232120023
513341430240411
6552331420443
7104043234510
oct17754563013
95468322410
102142430731
119aa389a11
124b95b4723
13281b25bbc
14164773307
15c8149456
hex7fb2e60b

2142430731 has 24 divisors (see below), whose sum is σ = 3539337984. Its totient is φ = 1223336880.

The previous prime is 2142430727. The next prime is 2142430757. The reversal of 2142430731 is 1370342412.

It is a happy number.

It is not a de Polignac number, because 2142430731 - 22 = 2142430727 is a prime.

It is a super-2 number, since 2×21424307312 = 9180018874266388722, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2142430695 and 2142430704.

It is not an unprimeable number, because it can be changed into a prime (2142430781) 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 23 ways as a sum of consecutive naturals, for example, 77986 + ... + 101816.

It is an arithmetic number, because the mean of its divisors is an integer number (147472416).

Almost surely, 22142430731 is an apocalyptic number.

2142430731 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

2142430731 is a deficient number, since it is larger than the sum of its proper divisors (1396907253).

2142430731 is a wasteful number, since it uses less digits than its factorization.

2142430731 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25271 (or 25268 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 2142430731 is about 46286.3989850150. The cubic root of 2142430731 is about 1289.1464680131.

The spelling of 2142430731 in words is "two billion, one hundred forty-two million, four hundred thirty thousand, seven hundred thirty-one".

Divisors: 1 3 7 9 21 63 1427 4281 9989 12843 23831 29967 71493 89901 166817 214479 500451 1501353 34006837 102020511 238047859 306061533 714143577 2142430731