Search a number
-
+
406300431889 = 112579472
BaseRepresentation
bin1011110100110010110…
…01001001011000010001
31102211201202221110202001
411322121121021120101
523124100402310024
6510352444154001
741232334455052
oct5723131113021
91384652843661
10406300431889
11147347002100
12668b1238901
132c410a26651
1415944c58729
15a87eac8244
hex5e99649611

406300431889 has 9 divisors (see below), whose sum is σ = 446602396681. Its totient is φ = 369357654820.

The previous prime is 406300431869. The next prime is 406300431907. The reversal of 406300431889 is 988134003604.

The square root of 406300431889 is 637417.

It is a perfect power (a square), and thus also a powerful number.

It is not a de Polignac number, because 406300431889 - 25 = 406300431857 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (406300431869) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 6982614 + ... + 7040560.

Almost surely, 2406300431889 is an apocalyptic number.

406300431889 is the 637417-th square number.

406300431889 is the 318709-th centered octagonal number.

It is an amenable number.

406300431889 is a deficient number, since it is larger than the sum of its proper divisors (40301964792).

406300431889 is an frugal number, since it uses more digits than its factorization.

406300431889 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115916 (or 57958 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 46.

The spelling of 406300431889 in words is "four hundred six billion, three hundred million, four hundred thirty-one thousand, eight hundred eighty-nine".

Divisors: 1 11 121 57947 637417 7011587 3357854809 36936402899 406300431889