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14057083541 is a prime number
BaseRepresentation
bin11010001011101111…
…00001001010010101
31100021122212211110202
431011313201022111
5212242103133131
610242512030245
71005230144564
oct150567411225
940248784422
1014057083541
115a63947a16
122883832385
1314303a7517
14974cd5bdb
1557415bbcb
hex345de1295

14057083541 has 2 divisors, whose sum is σ = 14057083542. Its totient is φ = 14057083540.

The previous prime is 14057083499. The next prime is 14057083613. The reversal of 14057083541 is 14538075041.

14057083541 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 7208859025 + 6848224516 = 84905^2 + 82754^2 .

It is a cyclic number.

It is not a de Polignac number, because 14057083541 - 210 = 14057082517 is a prime.

It is a super-3 number, since 3×140570835413 (a number of 31 digits) contains 333 as substring.

It is a Sophie Germain prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 14057083495 and 14057083504.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (14057083241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 7028541770 + 7028541771.

It is an arithmetic number, because the mean of its divisors is an integer number (7028541771).

Almost surely, 214057083541 is an apocalyptic number.

It is an amenable number.

14057083541 is a deficient number, since it is larger than the sum of its proper divisors (1).

14057083541 is an equidigital number, since it uses as much as digits as its factorization.

14057083541 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 67200, while the sum is 38.

The spelling of 14057083541 in words is "fourteen billion, fifty-seven million, eighty-three thousand, five hundred forty-one".