Search a number
-
+
254214432441 = 3228246048049
BaseRepresentation
bin1110110011000001011…
…1000110011010111001
3220022011122022012120200
43230300113012122321
513131112343314231
6312441241312413
724236446010544
oct3546027063271
9808148265520
10254214432441
11988a2468772
1241327a95709
131ac8424bab8
14c43842385b
15692cce9be6
hex3b305c66b9

254214432441 has 6 divisors (see below), whose sum is σ = 367198624650. Its totient is φ = 169476288288.

The previous prime is 254214432389. The next prime is 254214432457. The reversal of 254214432441 is 144234412452.

254214432441 is a `hidden beast` number, since 2 + 5 + 4 + 214 + 432 + 4 + 4 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 242064000000 + 12150432441 = 492000^2 + 110229^2 .

It is not a de Polignac number, because 254214432441 - 27 = 254214432313 is a prime.

It is a super-2 number, since 2×2542144324412 (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 254214432396 and 254214432405.

It is not an unprimeable number, because it can be changed into a prime (254214437441) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 14123024016 + ... + 14123024033.

It is an arithmetic number, because the mean of its divisors is an integer number (61199770775).

Almost surely, 2254214432441 is an apocalyptic number.

It is an amenable number.

254214432441 is a deficient number, since it is larger than the sum of its proper divisors (112984192209).

254214432441 is a wasteful number, since it uses less digits than its factorization.

254214432441 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28246048055 (or 28246048052 counting only the distinct ones).

The product of its digits is 122880, while the sum is 36.

Adding to 254214432441 its reverse (144234412452), we get a palindrome (398448844893).

The spelling of 254214432441 in words is "two hundred fifty-four billion, two hundred fourteen million, four hundred thirty-two thousand, four hundred forty-one".

Divisors: 1 3 9 28246048049 84738144147 254214432441