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814314931236 = 22361729832
BaseRepresentation
bin10111101100110001111…
…00111100010000100100
32212211220000012121000000
423312120330330100210
5101320204110244421
61422031403021300
7112555324465302
oct13663074742044
92784800177000
10814314931236
11294392605484
121119a050a830
135ba358b35a1
142b5ad5bb272
15162aedd3226
hexbd98f3c424

814314931236 has 189 divisors, whose sum is σ = 2271985956961. Its totient is φ = 255211461504.

The previous prime is 814314931201. The next prime is 814314931277. The reversal of 814314931236 is 632139413418.

The square root of 814314931236 is 902394.

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

814314931236 is a `hidden beast` number, since 8 + 1 + 4 + 31 + 493 + 123 + 6 = 666.

814314931236 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 633982212900 + 180332718336 = 796230^2 + 424656^2 .

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 814314931191 and 814314931200.

It is an unprimeable number.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 828397201 + ... + 828398183.

Almost surely, 2814314931236 is an apocalyptic number.

814314931236 is the 902394-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 814314931236

814314931236 is an abundant number, since it is smaller than the sum of its proper divisors (1457671025725).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

814314931236 is an frugal number, since it uses more digits than its factorization.

814314931236 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2022 (or 1005 counting only the distinct ones).

The product of its digits is 373248, while the sum is 45.

The spelling of 814314931236 in words is "eight hundred fourteen billion, three hundred fourteen million, nine hundred thirty-one thousand, two hundred thirty-six".