Search a number
-
+
4144224204133 = 136713734729979
BaseRepresentation
bin111100010011100111000…
…000101111010101100101
3112200011222002222101101021
4330103213000233111211
51020344332344013013
612451455203131141
7605260511342266
oct74234700572545
915604862871337
104144224204133
111358612583902
1256b218373ab1
13240a4c88c2b0
1410481d9a496d
1572c0298ca8d
hex3c4e702f565

4144224204133 has 16 divisors (see below), whose sum is σ = 4562685852480. Its totient is φ = 3740835390336.

The previous prime is 4144224204089. The next prime is 4144224204161. The reversal of 4144224204133 is 3314024224414.

It is a cyclic number.

It is not a de Polignac number, because 4144224204133 - 225 = 4144190649701 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4144224204833) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17245663 + ... + 17484316.

It is an arithmetic number, because the mean of its divisors is an integer number (285167865780).

Almost surely, 24144224204133 is an apocalyptic number.

It is an amenable number.

4144224204133 is a deficient number, since it is larger than the sum of its proper divisors (418461648347).

4144224204133 is a wasteful number, since it uses less digits than its factorization.

4144224204133 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34730196.

The product of its (nonzero) digits is 73728, while the sum is 34.

Adding to 4144224204133 its reverse (3314024224414), we get a palindrome (7458248428547).

The spelling of 4144224204133 in words is "four trillion, one hundred forty-four billion, two hundred twenty-four million, two hundred four thousand, one hundred thirty-three".

Divisors: 1 13 67 137 871 1781 9179 119327 34729979 451489727 2326908593 4758007123 30249811709 61854092599 318786477241 4144224204133