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314303133204 = 223229301056641
BaseRepresentation
bin1001001001011011110…
…11010011011000010100
31010001021022210110220100
410210231323103120110
520122143100230304
6400215554534100
731464503360214
oct4445573233024
91101238713810
10314303133204
11111327a19a45
1250ab7597330
132383c194738
14112d89a6244
15829821e439
hex492ded3614

314303133204 has 36 divisors (see below), whose sum is σ = 821884632660. Its totient is φ = 101155031040.

The previous prime is 314303133197. The next prime is 314303133223. The reversal of 314303133204 is 402331303413.

314303133204 is a `hidden beast` number, since 3 + 143 + 0 + 313 + 3 + 204 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 71796130704 + 242507002500 = 267948^2 + 492450^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-3 number, since 3×3143031332043 (a number of 35 digits) contains 333 as substring.

It is a congruent 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 11 ways as a sum of consecutive naturals, for example, 150527277 + ... + 150529364.

It is an arithmetic number, because the mean of its divisors is an integer number (22830128685).

Almost surely, 2314303133204 is an apocalyptic number.

It is an amenable number.

314303133204 is an abundant number, since it is smaller than the sum of its proper divisors (507581499456).

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

314303133204 is a wasteful number, since it uses less digits than its factorization.

314303133204 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 301056680 (or 301056675 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 27.

Adding to 314303133204 its reverse (402331303413), we get a palindrome (716634436617).

The spelling of 314303133204 in words is "three hundred fourteen billion, three hundred three million, one hundred thirty-three thousand, two hundred four".

Divisors: 1 2 3 4 6 9 12 18 29 36 58 87 116 174 261 348 522 1044 301056641 602113282 903169923 1204226564 1806339846 2709509769 3612679692 5419019538 8730642589 10838039076 17461285178 26191927767 34922570356 52383855534 78575783301 104767711068 157151566602 314303133204