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4032040402993 is a prime number
BaseRepresentation
bin111010101011001000010…
…101100000000000110001
3112021110101211100211000111
4322223020111200000301
51012030104320343433
612324143243021321
7564206501640541
oct72531025400061
915243354324014
104032040402993
111314a84768669
1255152a20a841
132332b1b12c85
14dd21a75d321
156ed38cc7dcd
hex3aac8560031

4032040402993 has 2 divisors, whose sum is σ = 4032040402994. Its totient is φ = 4032040402992.

The previous prime is 4032040402963. The next prime is 4032040403047. The reversal of 4032040402993 is 3992040402304.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 2840650688929 + 1191389714064 = 1685423^2 + 1091508^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-4032040402993 is a prime.

It is a super-2 number, since 2×40320404029932 (a number of 26 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (4032040402963) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 2016020201496 + 2016020201497.

It is an arithmetic number, because the mean of its divisors is an integer number (2016020201497).

Almost surely, 24032040402993 is an apocalyptic number.

It is an amenable number.

4032040402993 is a deficient number, since it is larger than the sum of its proper divisors (1).

4032040402993 is an equidigital number, since it uses as much as digits as its factorization.

4032040402993 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 186624, while the sum is 40.

The spelling of 4032040402993 in words is "four trillion, thirty-two billion, forty million, four hundred two thousand, nine hundred ninety-three".