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114241133222441 is a prime number
BaseRepresentation
bin11001111110011011010110…
…001010100001101000101001
3112222111100022222221100222122
4121332123112022201220221
5104433211320101104231
61042545352503401025
733030435531223211
oct3176332612415051
9488440288840878
10114241133222441
1133445435497875
1210990844453175
134b98b7b181c24
14202d42c239241
15d31a19d7377b
hex67e6d62a1a29

114241133222441 has 2 divisors, whose sum is σ = 114241133222442. Its totient is φ = 114241133222440.

The previous prime is 114241133222407. The next prime is 114241133222473. The reversal of 114241133222441 is 144222331142411.

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., 67734134505625 + 46506998716816 = 8230075^2 + 6819604^2 .

It is an emirp because it is prime and its reverse (144222331142411) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-114241133222441 is a prime.

It is a super-3 number, since 3×1142411332224413 (a number of 43 digits) contains 333 as substring.

It is not a weakly prime, because it can be changed into another prime (114241133242441) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 57120566611220 + 57120566611221.

It is an arithmetic number, because the mean of its divisors is an integer number (57120566611221).

Almost surely, 2114241133222441 is an apocalyptic number.

It is an amenable number.

114241133222441 is a deficient number, since it is larger than the sum of its proper divisors (1).

114241133222441 is an equidigital number, since it uses as much as digits as its factorization.

114241133222441 is an evil number, because the sum of its binary digits is even.

The product of its digits is 36864, while the sum is 35.

Adding to 114241133222441 its reverse (144222331142411), we get a palindrome (258463464364852).

The spelling of 114241133222441 in words is "one hundred fourteen trillion, two hundred forty-one billion, one hundred thirty-three million, two hundred twenty-two thousand, four hundred forty-one".