Search a number
-
+
146287034261 is a prime number
BaseRepresentation
bin1000100000111101100…
…0101111111110010101
3111222120222212022101222
42020033120233332111
54344043440044021
6151111530500125
713366062163154
oct2101730577625
9458528768358
10146287034261
1157049243025
1224427294645
1310a44269104
14711a5d759b
153c12b566ab
hex220f62ff95

146287034261 has 2 divisors, whose sum is σ = 146287034262. Its totient is φ = 146287034260.

The previous prime is 146287034209. The next prime is 146287034263. The reversal of 146287034261 is 162430782641.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 81424622500 + 64862411761 = 285350^2 + 254681^2 .

It is an emirp because it is prime and its reverse (162430782641) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 146287034261 - 222 = 146282839957 is a prime.

It is a super-2 number, since 2×1462870342612 (a number of 23 digits) contains 22 as substring.

Together with 146287034263, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (146287034263) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 73143517130 + 73143517131.

It is an arithmetic number, because the mean of its divisors is an integer number (73143517131).

Almost surely, 2146287034261 is an apocalyptic number.

It is an amenable number.

146287034261 is a deficient number, since it is larger than the sum of its proper divisors (1).

146287034261 is an equidigital number, since it uses as much as digits as its factorization.

146287034261 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 387072, while the sum is 44.

The spelling of 146287034261 in words is "one hundred forty-six billion, two hundred eighty-seven million, thirty-four thousand, two hundred sixty-one".