Search a number
-
+
4100144142321 = 321373325339937
BaseRepresentation
bin111011101010100011101…
…000101001011111110001
3112111222012002120020021100
4323222203220221133301
51014134043400023241
612415325154315013
7602140252113453
oct73524350513761
915458162506240
104100144142321
111340952528a57
12562775b88a69
13239846435a96
1410263b5a22d3
15719c2bb89b6
hex3baa3a297f1

4100144142321 has 12 divisors (see below), whose sum is σ = 5965659848772. Its totient is φ = 2713477387776.

The previous prime is 4100144142307. The next prime is 4100144142331. The reversal of 4100144142321 is 1232414410014.

4100144142321 is a `hidden beast` number, since 4 + 1 + 0 + 0 + 14 + 414 + 232 + 1 = 666.

4100144142321 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 1717242510096 + 2382901632225 = 1310436^2 + 1543665^2 .

It is not a de Polignac number, because 4100144142321 - 210 = 4100144141297 is a prime.

It is a super-2 number, since 2×41001441423212 (a number of 26 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (4100144142331) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1662668736 + ... + 1662671201.

It is an arithmetic number, because the mean of its divisors is an integer number (497138320731).

Almost surely, 24100144142321 is an apocalyptic number.

It is an amenable number.

4100144142321 is a deficient number, since it is larger than the sum of its proper divisors (1865515706451).

4100144142321 is a wasteful number, since it uses less digits than its factorization.

4100144142321 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3325340080 (or 3325340077 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

Adding to 4100144142321 its reverse (1232414410014), we get a palindrome (5332558552335).

The spelling of 4100144142321 in words is "four trillion, one hundred billion, one hundred forty-four million, one hundred forty-two thousand, three hundred twenty-one".

Divisors: 1 3 9 137 411 1233 3325339937 9976019811 29928059433 455571571369 1366714714107 4100144142321