Search a number
-
+
4131124331041 = 75731249174637
BaseRepresentation
bin111100000111011010001…
…100101100001000100001
3112121221011011020212210101
4330013122030230020201
51020141020312043131
612441451243302401
7604315053301411
oct74073214541041
915557134225711
104131124331041
111352aaaa94304
1256878121aa01
1323c7428bc7b6
14103d39c7c641
15726d78adc61
hex3c1da32c221

4131124331041 has 8 divisors (see below), whose sum is σ = 4136737625000. Its totient is φ = 4125511450368.

The previous prime is 4131124331021. The next prime is 4131124331057. The reversal of 4131124331041 is 1401334211314.

It can be written as a sum of positive squares in 4 ways, for example, as 1641422192400 + 2489702138641 = 1281180^2 + 1577879^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 4131124331041 - 219 = 4131123806753 is a prime.

It is a super-2 number, since 2×41311243310412 (a number of 26 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (4131124331021) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 23568175 + ... + 23742811.

It is an arithmetic number, because the mean of its divisors is an integer number (517092203125).

Almost surely, 24131124331041 is an apocalyptic number.

It is an amenable number.

4131124331041 is a deficient number, since it is larger than the sum of its proper divisors (5613293959).

4131124331041 is a wasteful number, since it uses less digits than its factorization.

4131124331041 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 206643.

The product of its (nonzero) digits is 3456, while the sum is 28.

Adding to 4131124331041 its reverse (1401334211314), we get a palindrome (5532458542355).

The spelling of 4131124331041 in words is "four trillion, one hundred thirty-one billion, one hundred twenty-four million, three hundred thirty-one thousand, forty-one".

Divisors: 1 757 31249 174637 23655493 132200209 5457231613 4131124331041