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14414310134149 is a prime number
BaseRepresentation
bin1101000111000001011111…
…0101011101000110000101
31220000222212001112110101211
43101300113311131012011
53342131001343243044
650353502003051421
73015254020365232
oct321602765350605
956028761473354
1014414310134149
114658090321632
12174970b370b71
13807357209893
1437b928d98789
1519ee38c8b634
hexd1c17d5d185

14414310134149 has 2 divisors, whose sum is σ = 14414310134150. Its totient is φ = 14414310134148.

The previous prime is 14414310134101. The next prime is 14414310134171. The reversal of 14414310134149 is 94143101341441.

14414310134149 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 13506043953249 + 908266180900 = 3675057^2 + 953030^2 .

It is a cyclic number.

It is not a de Polignac number, because 14414310134149 - 227 = 14414175916421 is a prime.

It is a super-3 number, since 3×144143101341493 (a number of 40 digits) contains 333 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (14414310131149) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 7207155067074 + 7207155067075.

It is an arithmetic number, because the mean of its divisors is an integer number (7207155067075).

Almost surely, 214414310134149 is an apocalyptic number.

It is an amenable number.

14414310134149 is a deficient number, since it is larger than the sum of its proper divisors (1).

14414310134149 is an equidigital number, since it uses as much as digits as its factorization.

14414310134149 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 82944, while the sum is 40.

The spelling of 14414310134149 in words is "fourteen trillion, four hundred fourteen billion, three hundred ten million, one hundred thirty-four thousand, one hundred forty-nine".