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314701745220 = 223252213790033
BaseRepresentation
bin1001001010001011010…
…11111000110001000100
31010002022002212001210100
410211011223320301010
520124002121321340
6400323314324100
731510413461322
oct4450553706104
91102262761710
10314701745220
11111511a27065
1250ba8b89630
13238a393b335
14113358c8d12
1582bd20b830
hex4945af8c44

314701745220 has 72 divisors (see below), whose sum is σ = 955027860696. Its totient is φ = 83882437632.

The previous prime is 314701745213. The next prime is 314701745221. The reversal of 314701745220 is 22547107413.

314701745220 is a `hidden beast` number, since 314 + 70 + 17 + 45 + 220 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 34159910976 + 280541834244 = 184824^2 + 529662^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (314701745221) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3324 + ... + 793356.

It is an arithmetic number, because the mean of its divisors is an integer number (13264275843).

Almost surely, 2314701745220 is an apocalyptic number.

314701745220 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

314701745220 is an abundant number, since it is smaller than the sum of its proper divisors (640326115476).

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

314701745220 is a wasteful number, since it uses less digits than its factorization.

314701745220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 792261 (or 792256 counting only the distinct ones).

The product of its (nonzero) digits is 47040, while the sum is 36.

The spelling of 314701745220 in words is "three hundred fourteen billion, seven hundred one million, seven hundred forty-five thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 2213 4426 6639 8852 11065 13278 19917 22130 26556 33195 39834 44260 66390 79668 99585 132780 199170 398340 790033 1580066 2370099 3160132 3950165 4740198 7110297 7900330 9480396 11850495 14220594 15800660 23700990 28441188 35551485 47401980 71102970 142205940 1748343029 3496686058 5245029087 6993372116 8741715145 10490058174 15735087261 17483430290 20980116348 26225145435 31470174522 34966860580 52450290870 62940349044 78675436305 104900581740 157350872610 314701745220