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4005350215441 is a prime number
BaseRepresentation
bin111010010010010001011…
…110100000111100010001
3112011220111202001210202121
4322102101132200330101
51011110424123343231
612304011003414241
7562243212042631
oct72222136407421
915156452053677
104005350215441
111304728860723
1254831b824381
1323091a3875a3
14dbc07b266c1
156e2c5a3e311
hex3a4917a0f11

4005350215441 has 2 divisors, whose sum is σ = 4005350215442. Its totient is φ = 4005350215440.

The previous prime is 4005350215357. The next prime is 4005350215487. The reversal of 4005350215441 is 1445120535004.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 4005341782225 + 8433216 = 2001335^2 + 2904^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-4005350215441 is a prime.

It is a super-3 number, since 3×40053502154413 (a number of 39 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 4005350215397 and 4005350215406.

It is not a weakly prime, because it can be changed into another prime (4005330215441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 2002675107720 + 2002675107721.

It is an arithmetic number, because the mean of its divisors is an integer number (2002675107721).

Almost surely, 24005350215441 is an apocalyptic number.

It is an amenable number.

4005350215441 is a deficient number, since it is larger than the sum of its proper divisors (1).

4005350215441 is an equidigital number, since it uses as much as digits as its factorization.

4005350215441 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 48000, while the sum is 34.

The spelling of 4005350215441 in words is "four trillion, five billion, three hundred fifty million, two hundred fifteen thousand, four hundred forty-one".