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1143129793 = 131738913297
BaseRepresentation
bin100010000100010…
…1100011011000001
32221200000000021111
41010020230123001
54320120123133
6305233123321
740220304631
oct10410543301
92850000244
101143129793
115372a3373
1227a9b9541
13152aa1c80
14abb686c1
156a5551cd
hex4422c6c1

1143129793 has 16 divisors (see below), whose sum is σ = 1306927440. Its totient is φ = 990498816.

The previous prime is 1143129791. The next prime is 1143129797. The reversal of 1143129793 is 3979213411.

It can be written as a sum of positive squares in 8 ways, for example, as 310922689 + 832207104 = 17633^2 + 28848^2 .

It is a cyclic number.

It is not a de Polignac number, because 1143129793 - 21 = 1143129791 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1143129791) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 79321 + ... + 92617.

It is an arithmetic number, because the mean of its divisors is an integer number (81682965).

Almost surely, 21143129793 is an apocalyptic number.

1143129793 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

1143129793 is a deficient number, since it is larger than the sum of its proper divisors (163797647).

1143129793 is a wasteful number, since it uses less digits than its factorization.

1143129793 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13716.

The product of its digits is 40824, while the sum is 40.

The square root of 1143129793 is about 33810.2024986542. The cubic root of 1143129793 is about 1045.5990530573.

The spelling of 1143129793 in words is "one billion, one hundred forty-three million, one hundred twenty-nine thousand, seven hundred ninety-three".

Divisors: 1 13 17 221 389 5057 6613 13297 85969 172861 226049 2938637 5172533 67242929 87933061 1143129793