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254516440141 is a prime number
BaseRepresentation
bin1110110100001001011…
…1001010110001001101
3220022221200120210021001
43231002113022301031
513132222202041031
6312531230340301
724250104021505
oct3550227126115
9808850523231
10254516440141
1198a37993607
12413b105a691
131b0019a0692
14c46659aa05
1569495a3861
hex3b425cac4d

254516440141 has 2 divisors, whose sum is σ = 254516440142. Its totient is φ = 254516440140.

The previous prime is 254516440127. The next prime is 254516440177. The reversal of 254516440141 is 141044615452.

254516440141 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., 193926617641 + 60589822500 = 440371^2 + 246150^2 .

It is a cyclic number.

It is not a de Polignac number, because 254516440141 - 231 = 252368956493 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 254516440141.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (254516440111) 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, 127258220070 + 127258220071.

It is an arithmetic number, because the mean of its divisors is an integer number (127258220071).

Almost surely, 2254516440141 is an apocalyptic number.

It is an amenable number.

254516440141 is a deficient number, since it is larger than the sum of its proper divisors (1).

254516440141 is an equidigital number, since it uses as much as digits as its factorization.

254516440141 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 76800, while the sum is 37.

The spelling of 254516440141 in words is "two hundred fifty-four billion, five hundred sixteen million, four hundred forty thousand, one hundred forty-one".