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316141930225 = 52112102232
BaseRepresentation
bin1001001100110111000…
…01110000011011110001
31010020000110211001012201
410212123201300123301
520134424313231400
6401122242423201
731561202032402
oct4463341603361
91106013731181
10316141930225
11112090972400
125132b361b01
1323a73119904
1411430c9b9a9
15835488d06a
hex499b8706f1

316141930225 has 27 divisors (see below), whose sum is σ = 430935766219. Its totient is φ = 229898913200.

The previous prime is 316141930171. The next prime is 316141930231. The reversal of 316141930225 is 522039141613.

The square root of 316141930225 is 562265.

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

It can be written as a sum of positive squares in only one way, i.e., 113811094881 + 202330835344 = 337359^2 + 449812^2 .

It is not a de Polignac number, because 316141930225 - 29 = 316141929713 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 30919464 + ... + 30929686.

Almost surely, 2316141930225 is an apocalyptic number.

316141930225 is the 562265-th square number.

316141930225 is the 281133-rd centered octagonal number.

It is an amenable number.

316141930225 is a deficient number, since it is larger than the sum of its proper divisors (114793835994).

316141930225 is an frugal number, since it uses more digits than its factorization.

316141930225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20478 (or 10239 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 37.

The spelling of 316141930225 in words is "three hundred sixteen billion, one hundred forty-one million, nine hundred thirty thousand, two hundred twenty-five".

Divisors: 1 5 11 25 55 121 275 605 3025 10223 51115 112453 255575 562265 1236983 2811325 6184915 30924575 104509729 522548645 1149607019 2612743225 5748035095 12645677209 28740175475 63228386045 316141930225