Search a number
-
+
414102246329 is a prime number
BaseRepresentation
bin1100000011010100110…
…10101101001110111001
31110120212111102201011102
412001222122231032321
523241040133340304
6514122544141145
741626561005542
oct6015232551671
91416774381142
10414102246329
1114a68aa16832
126830a0077b5
13300851992b5
14160850934c9
15ab899c6d1e
hex606a6ad3b9

414102246329 has 2 divisors, whose sum is σ = 414102246330. Its totient is φ = 414102246328.

The previous prime is 414102246307. The next prime is 414102246361. The reversal of 414102246329 is 923642201414.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 328417247929 + 85684998400 = 573077^2 + 292720^2 .

It is a cyclic number.

It is not a de Polignac number, because 414102246329 - 220 = 414101197753 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 414102246292 and 414102246301.

It is not a weakly prime, because it can be changed into another prime (414102246379) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 207051123164 + 207051123165.

It is an arithmetic number, because the mean of its divisors is an integer number (207051123165).

Almost surely, 2414102246329 is an apocalyptic number.

It is an amenable number.

414102246329 is a deficient number, since it is larger than the sum of its proper divisors (1).

414102246329 is an equidigital number, since it uses as much as digits as its factorization.

414102246329 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 38.

The spelling of 414102246329 in words is "four hundred fourteen billion, one hundred two million, two hundred forty-six thousand, three hundred twenty-nine".