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4032144323001 = 324161710765217
BaseRepresentation
bin111010101011001110100…
…001111011000110111001
3112021110200001220111110200
4322223032201323012321
51012030312421314001
612324201434232413
7564212203150404
oct72531641730671
915243601814420
104032144323001
111315028397273
12551558b85709
132332ca4c9ac2
14dd22a490d3b
156ed42ea4086
hex3aace87b1b9

4032144323001 has 12 divisors (see below), whose sum is σ = 5824348955412. Its totient is φ = 2688031374336.

The previous prime is 4032144322961. The next prime is 4032144323017. The reversal of 4032144323001 is 1003234412304.

4032144323001 is a `hidden beast` number, since 4 + 0 + 321 + 4 + 4 + 32 + 300 + 1 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 4031758789776 + 385533225 = 2007924^2 + 19635^2 .

It is not a de Polignac number, because 4032144323001 - 26 = 4032144322937 is a prime.

It is not an unprimeable number, because it can be changed into a prime (4032144323071) 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, 5008056 + ... + 5757161.

It is an arithmetic number, because the mean of its divisors is an integer number (485362412951).

Almost surely, 24032144323001 is an apocalyptic number.

It is an amenable number.

4032144323001 is a deficient number, since it is larger than the sum of its proper divisors (1792204632411).

4032144323001 is a wasteful number, since it uses less digits than its factorization.

4032144323001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10806840 (or 10806837 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 4032144323001 its reverse (1003234412304), we get a palindrome (5035378735305).

The spelling of 4032144323001 in words is "four trillion, thirty-two billion, one hundred forty-four million, three hundred twenty-three thousand, one".

Divisors: 1 3 9 41617 124851 374553 10765217 32295651 96886953 448016035889 1344048107667 4032144323001