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4432431042001 = 257127571351949
BaseRepresentation
bin100000010000000000101…
…1110100100110111010001
3120200201212201222200222201
41000200001132210313101
51040110104321321001
613232121500003201
7635142526135024
oct100400136446721
916621781880881
104432431042001
111459868851916
125b7050230501
13261c90365b51
1411476076b1bb
157a46eb36501
hex408017a4dd1

4432431042001 has 8 divisors (see below), whose sum is σ = 4450029949800. Its totient is φ = 4414834864128.

The previous prime is 4432431041999. The next prime is 4432431042019. The reversal of 4432431042001 is 1002401342344.

It can be written as a sum of positive squares in 4 ways, for example, as 2228168217025 + 2204262824976 = 1492705^2 + 1484676^2 .

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 4432431042001 - 21 = 4432431041999 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (4432431042101) 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, 2602575 + ... + 3954523.

It is an arithmetic number, because the mean of its divisors is an integer number (556253743725).

Almost surely, 24432431042001 is an apocalyptic number.

It is an amenable number.

4432431042001 is a deficient number, since it is larger than the sum of its proper divisors (17598907799).

4432431042001 is a wasteful number, since it uses less digits than its factorization.

4432431042001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1364963.

The product of its (nonzero) digits is 9216, while the sum is 28.

Adding to 4432431042001 its reverse (1002401342344), we get a palindrome (5434832384345).

The spelling of 4432431042001 in words is "four trillion, four hundred thirty-two billion, four hundred thirty-one million, forty-two thousand, one".

Divisors: 1 257 12757 1351949 3278549 347450893 17246813393 4432431042001