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10141401441089 is a prime number
BaseRepresentation
bin1001001110010011101010…
…1000010110001101000001
31022220111201200222201100002
42103210322220112031001
52312124042232103324
633322521232405345
72064456244640552
oct223447250261501
938814650881302
1010141401441089
11325aa42800636
12117957a9a6855
1358743a181ba9
14270bbc926329
15128c03be13ae
hex9393aa16341

10141401441089 has 2 divisors, whose sum is σ = 10141401441090. Its totient is φ = 10141401441088.

The previous prime is 10141401441013. The next prime is 10141401441131. The reversal of 10141401441089 is 98014410414101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 6022803139600 + 4118598301489 = 2454140^2 + 2029433^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-10141401441089 is a prime.

It is not a weakly prime, because it can be changed into another prime (10141401441389) 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, 5070700720544 + 5070700720545.

It is an arithmetic number, because the mean of its divisors is an integer number (5070700720545).

Almost surely, 210141401441089 is an apocalyptic number.

It is an amenable number.

10141401441089 is a deficient number, since it is larger than the sum of its proper divisors (1).

10141401441089 is an equidigital number, since it uses as much as digits as its factorization.

10141401441089 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 18432, while the sum is 38.

The spelling of 10141401441089 in words is "ten trillion, one hundred forty-one billion, four hundred one million, four hundred forty-one thousand, eighty-nine".