Search a number
-
+
314344002220302 = 23417149733619039
BaseRepresentation
bin100011101111001001110101…
…0100101101111000100001110
31112012222222210222201221222210
41013132103222211233010032
5312200203004032022202
63032315350244451250
7123132414261565545
oct10736235245570416
91465888728657883
10314344002220302
11911835a735a82a
122b309b823a9b26
13106526874580c2
14578a48bd4515c
152651c1ee65c6c
hex11de4ea96f10e

314344002220302 has 64 divisors (see below), whose sum is σ = 653224096788480. Its totient is φ = 100765598841600.

The previous prime is 314344002220243. The next prime is 314344002220351. The reversal of 314344002220302 is 203022200443413.

It is a self number, because there is not a number n which added to its sum of digits gives 314344002220302.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 85048899 + ... + 88667937.

It is an arithmetic number, because the mean of its divisors is an integer number (10206626512320).

Almost surely, 2314344002220302 is an apocalyptic number.

314344002220302 is an abundant number, since it is smaller than the sum of its proper divisors (338880094568178).

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

314344002220302 is a wasteful number, since it uses less digits than its factorization.

314344002220302 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3624129.

The product of its (nonzero) digits is 27648, while the sum is 30.

Adding to 314344002220302 its reverse (203022200443413), we get a palindrome (517366202663715).

The spelling of 314344002220302 in words is "three hundred fourteen trillion, three hundred forty-four billion, two million, two hundred twenty thousand, three hundred two".

Divisors: 1 2 3 6 41 71 82 123 142 213 246 426 2911 4973 5822 8733 9946 14919 17466 29838 203893 353083 407786 611679 706166 1059249 1223358 2118498 3619039 7238078 10857117 14476403 21714234 28952806 43429209 86858418 148380599 256951769 296761198 445141797 513903538 770855307 890283594 1541710614 10535022529 17997480947 21070045058 31605067587 35994961894 53992442841 63210135174 107984885682 737896718827 1277821147237 1475793437654 2213690156481 2555642294474 3833463441711 4427380312962 7666926883422 52390667036717 104781334073434 157172001110151 314344002220302