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40014013001 is a prime number
BaseRepresentation
bin100101010001000001…
…010110001001001001
310211021122102110201112
4211101001112021021
51123422041404001
630214315100105
72614404333014
oct452101261111
9124248373645
1040014013001
1115a7395a236
127908741635
133a08c4a891
141d183b837b
151092d53cbb
hex951056249

40014013001 has 2 divisors, whose sum is σ = 40014013002. Its totient is φ = 40014013000.

The previous prime is 40014012971. The next prime is 40014013019. The reversal of 40014013001 is 10031041004.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 35881451776 + 4132561225 = 189424^2 + 64285^2 .

It is a cyclic number.

It is not a de Polignac number, because 40014013001 - 230 = 38940271177 is a prime.

It is a super-2 number, since 2×400140130012 (a number of 22 digits) contains 22 as substring.

It is a Sophie Germain prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (40014013051) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 20007006500 + 20007006501.

It is an arithmetic number, because the mean of its divisors is an integer number (20007006501).

Almost surely, 240014013001 is an apocalyptic number.

It is an amenable number.

40014013001 is a deficient number, since it is larger than the sum of its proper divisors (1).

40014013001 is an equidigital number, since it uses as much as digits as its factorization.

40014013001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 48, while the sum is 14.

Adding to 40014013001 its reverse (10031041004), we get a palindrome (50045054005).

The spelling of 40014013001 in words is "forty billion, fourteen million, thirteen thousand, one".