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314241441210 = 232520357171517
BaseRepresentation
bin1001001001010100011…
…11111101110110111010
31010001010000201012101200
410210222033331312322
520122031302104320
6400205512355030
731463124115164
oct4445217756672
91101100635350
10314241441210
111112a6112924
1250a9a9a5a76
132382c4745b8
14112d0707934
158292ad5290
hex492a3fddba

314241441210 has 48 divisors (see below), whose sum is σ = 817072645896. Its totient is φ = 83793112704.

The previous prime is 314241441209. The next prime is 314241441233. The reversal of 314241441210 is 12144142413.

314241441210 is a `hidden beast` number, since 3 + 1 + 4 + 2 + 4 + 1 + 441 + 210 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 313278642369 + 962798841 = 559713^2 + 31029^2 .

It is a super-3 number, since 3×3142414412103 (a number of 35 digits) contains 333 as substring.

It is a Curzon number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1746372 + ... + 1917888.

Almost surely, 2314241441210 is an apocalyptic number.

314241441210 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

314241441210 is an abundant number, since it is smaller than the sum of its proper divisors (502831204686).

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

314241441210 is a wasteful number, since it uses less digits than its factorization.

314241441210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 191887 (or 191884 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

Adding to 314241441210 its reverse (12144142413), we get a palindrome (326385583623).

The spelling of 314241441210 in words is "three hundred fourteen billion, two hundred forty-one million, four hundred forty-one thousand, two hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 20357 40714 61071 101785 122142 171517 183213 203570 305355 343034 366426 514551 610710 857585 916065 1029102 1543653 1715170 1832130 2572755 3087306 5145510 7718265 15436530 3491571569 6983143138 10474714707 17457857845 20949429414 31424144121 34915715690 52373573535 62848288242 104747147070 157120720605 314241441210