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5304142305 = 335711617827
BaseRepresentation
bin1001111000010011…
…01100100111100001
3111200122200100101000
410330021230213201
541330330023210
62234154102213
7245304315510
oct47411544741
914618610330
105304142305
112282060690
12104041a969
13666b79c57
14384632677
152109d2ac0
hex13c26c9e1

5304142305 has 128 divisors (see below), whose sum is σ = 11789660160. Its totient is φ = 2198085120.

The previous prime is 5304142241. The next prime is 5304142339. The reversal of 5304142305 is 5032414035.

It is not a de Polignac number, because 5304142305 - 26 = 5304142241 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 6413302 + ... + 6414128.

It is an arithmetic number, because the mean of its divisors is an integer number (92106720).

Almost surely, 25304142305 is an apocalyptic number.

5304142305 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

5304142305 is an abundant number, since it is smaller than the sum of its proper divisors (6485517855).

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

5304142305 is a wasteful number, since it uses less digits than its factorization.

5304142305 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1476 (or 1470 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 27.

The square root of 5304142305 is about 72829.5428037277. The cubic root of 5304142305 is about 1743.9675071495.

The spelling of 5304142305 in words is "five billion, three hundred four million, one hundred forty-two thousand, three hundred five".

Divisors: 1 3 5 7 9 11 15 21 27 33 35 45 55 63 77 99 105 135 165 189 231 297 315 385 495 617 693 827 945 1155 1485 1851 2079 2481 3085 3465 4135 4319 5553 5789 6787 7443 9097 9255 10395 12405 12957 16659 17367 20361 21595 22329 27291 27765 28945 33935 37215 38871 45485 47509 52101 61083 63679 64785 81873 83295 86835 101805 111645 116613 136455 142527 156303 183249 191037 194355 237545 245619 260505 305415 318395 409365 427581 510259 573111 583065 712635 781515 916245 955185 1228095 1282743 1530777 1719333 2137905 2551295 2865555 3571813 4592331 5612849 6413715 7653885 8596665 10715439 13776993 16838547 17859065 22961655 28064245 32146317 39289943 50515641 53577195 68884965 84192735 96438951 117869829 151546923 160731585 196449715 252578205 353609487 482194755 589349145 757734615 1060828461 1768047435 5304142305