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4138907141 = 1312433557
BaseRepresentation
bin1111011010110010…
…1011011000000101
3101200110002021020002
43312230223120011
531434030012031
61522411051045
7204365062445
oct36654533005
911613067202
104138907141
11183433a216
12976140a85
1350c6384a5
142b3992125
15193562ccb
hexf6b2b605

4138907141 has 12 divisors (see below), whose sum is σ = 4187880396. Its totient is φ = 4090469760.

The previous prime is 4138907119. The next prime is 4138907147. The reversal of 4138907141 is 1417098314.

It can be written as a sum of positive squares in 2 ways, for example, as 412293025 + 3726614116 = 20305^2 + 61046^2 .

It is a de Polignac number, because none of the positive numbers 2k-4138907141 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 4138907095 and 4138907104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4138907147) 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 11 ways as a sum of consecutive naturals, for example, 7430435 + ... + 7430991.

It is an arithmetic number, because the mean of its divisors is an integer number (348990033).

Almost surely, 24138907141 is an apocalyptic number.

It is an amenable number.

4138907141 is a deficient number, since it is larger than the sum of its proper divisors (48973255).

4138907141 is an equidigital number, since it uses as much as digits as its factorization.

4138907141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1252 (or 1121 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 38.

The square root of 4138907141 is about 64334.3387391213. The cubic root of 4138907141 is about 1605.5674718827.

The spelling of 4138907141 in words is "four billion, one hundred thirty-eight million, nine hundred seven thousand, one hundred forty-one".

Divisors: 1 131 433 557 17161 56723 72967 241181 7430713 9558677 31594711 4138907141