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40221131441441 is a prime number
BaseRepresentation
bin10010010010100101101100…
…10000001000010100100001
312021102002202210202010221012
421021102312100020110201
520232440334122111231
6221313155510310305
711320611063221516
oct1111226620102441
9167362683663835
1040221131441441
11118a7760154a65
12461715b658395
131959ab4800332
149d09dac4730d
1549b39d403e2b
hex2494b6408521

40221131441441 has 2 divisors, whose sum is σ = 40221131441442. Its totient is φ = 40221131441440.

The previous prime is 40221131441369. The next prime is 40221131441471. The reversal of 40221131441441 is 14414413112204.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 36025684579600 + 4195446861841 = 6002140^2 + 2048279^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-40221131441441 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 40221131441398 and 40221131441407.

It is not a weakly prime, because it can be changed into another prime (40221131441471) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 20110565720720 + 20110565720721.

It is an arithmetic number, because the mean of its divisors is an integer number (20110565720721).

Almost surely, 240221131441441 is an apocalyptic number.

It is an amenable number.

40221131441441 is a deficient number, since it is larger than the sum of its proper divisors (1).

40221131441441 is an equidigital number, since it uses as much as digits as its factorization.

40221131441441 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 12288, while the sum is 32.

Adding to 40221131441441 its reverse (14414413112204), we get a palindrome (54635544553645).

The spelling of 40221131441441 in words is "forty trillion, two hundred twenty-one billion, one hundred thirty-one million, four hundred forty-one thousand, four hundred forty-one".