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10044133144009 is a prime number
BaseRepresentation
bin1001001000101001010011…
…1111001111010111001001
31022120012122220112021000121
42102022110333033113021
52304030341041102014
633210113331303241
72054443661025526
oct222122477172711
938505586467017
1010044133144009
113222769345358
121162753a4ab21
1357b2085a9013
1426a1d25cc14d
1512640e700124
hex92294fcf5c9

10044133144009 has 2 divisors, whose sum is σ = 10044133144010. Its totient is φ = 10044133144008.

The previous prime is 10044133143991. The next prime is 10044133144061. The reversal of 10044133144009 is 90044133144001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 6285951552400 + 3758181591609 = 2507180^2 + 1938603^2 .

It is a cyclic number.

It is not a de Polignac number, because 10044133144009 - 29 = 10044133143497 is a prime.

It is a super-2 number, since 2×100441331440092 (a number of 27 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (10044133142009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5022066572004 + 5022066572005.

It is an arithmetic number, because the mean of its divisors is an integer number (5022066572005).

Almost surely, 210044133144009 is an apocalyptic number.

It is an amenable number.

10044133144009 is a deficient number, since it is larger than the sum of its proper divisors (1).

10044133144009 is an equidigital number, since it uses as much as digits as its factorization.

10044133144009 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 20736, while the sum is 34.

The spelling of 10044133144009 in words is "ten trillion, forty-four billion, one hundred thirty-three million, one hundred forty-four thousand, nine".