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200314201440441 = 31121128768375907
BaseRepresentation
bin101101100010111101001000…
…110100100000000010111001
3222021020211222010002000020010
4231202331020310200002321
5202223421441032043231
61550011023532452133
760123136435432464
oct5542751064400271
9867224863060203
10200314201440441
115890a859594a90
121a57229891a049
1387a071836948a
14376738acb82db
1518259733c2546
hexb62f48d200b9

200314201440441 has 16 divisors (see below), whose sum is σ = 292746993239808. Its totient is φ = 120827178805200.

The previous prime is 200314201440439. The next prime is 200314201440511. The reversal of 200314201440441 is 144044102413002.

It is a happy number.

It is not a de Polignac number, because 200314201440441 - 21 = 200314201440439 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 200314201440399 and 200314201440408.

It is not an unprimeable number, because it can be changed into a prime (200314201490441) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14384180991 + ... + 14384194916.

It is an arithmetic number, because the mean of its divisors is an integer number (18296687077488).

Almost surely, 2200314201440441 is an apocalyptic number.

It is an amenable number.

200314201440441 is a deficient number, since it is larger than the sum of its proper divisors (92432791799367).

200314201440441 is a wasteful number, since it uses less digits than its factorization.

200314201440441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28768376132.

The product of its (nonzero) digits is 12288, while the sum is 30.

Adding to 200314201440441 its reverse (144044102413002), we get a palindrome (344358303853443).

The spelling of 200314201440441 in words is "two hundred trillion, three hundred fourteen billion, two hundred one million, four hundred forty thousand, four hundred forty-one".

Divisors: 1 3 11 33 211 633 2321 6963 28768375907 86305127721 316452134977 949356404931 6070127316377 18210381949131 66771400480147 200314201440441