Search a number
-
+
149946298433 is a prime number
BaseRepresentation
bin1000101110100101111…
…1101111000001000001
3112100001000102012011122
42023221133233001001
54424042223022213
6152515005322025
713555544335631
oct2135137570101
9470030365148
10149946298433
115865685a398
1225088866315
13111a83c9299
1473865b26c1
153d79022d08
hex22e97ef041

149946298433 has 2 divisors, whose sum is σ = 149946298434. Its totient is φ = 149946298432.

The previous prime is 149946298393. The next prime is 149946298477. The reversal of 149946298433 is 334892649941.

149946298433 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., 106959740209 + 42986558224 = 327047^2 + 207332^2 .

It is a cyclic number.

It is not a de Polignac number, because 149946298433 - 210 = 149946297409 is a prime.

It is a super-3 number, since 3×1499462984333 (a number of 35 digits) contains 333 as substring.

It is not a weakly prime, because it can be changed into another prime (149946297433) 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, 74973149216 + 74973149217.

It is an arithmetic number, because the mean of its divisors is an integer number (74973149217).

Almost surely, 2149946298433 is an apocalyptic number.

It is an amenable number.

149946298433 is a deficient number, since it is larger than the sum of its proper divisors (1).

149946298433 is an equidigital number, since it uses as much as digits as its factorization.

149946298433 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 40310784, while the sum is 62.

The spelling of 149946298433 in words is "one hundred forty-nine billion, nine hundred forty-six million, two hundred ninety-eight thousand, four hundred thirty-three".