Search a number
-
+
442272437699 = 17193123797397
BaseRepresentation
bin1100110111110010111…
…11011101010111000011
31120021120201121200222112
412123321133131113003
524221233221001244
6535102133125535
743644631456421
oct6337137352703
91507521550875
10442272437699
11160626296524
12718701898ab
13329244354a1
14175984a6111
15b787b5a39e
hex66f97dd5c3

442272437699 has 96 divisors (see below), whose sum is σ = 529839696960. Its totient is φ = 366559395840.

The previous prime is 442272437681. The next prime is 442272437741. The reversal of 442272437699 is 996734272244.

It is a happy number.

It is not a de Polignac number, because 442272437699 - 28 = 442272437443 is a prime.

It is not an unprimeable number, because it can be changed into a prime (442272437609) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1114036169 + ... + 1114036565.

It is an arithmetic number, because the mean of its divisors is an integer number (5519163510).

Almost surely, 2442272437699 is an apocalyptic number.

442272437699 is a deficient number, since it is larger than the sum of its proper divisors (87567259261).

442272437699 is a wasteful number, since it uses less digits than its factorization.

442272437699 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 629 (or 598 counting only the distinct ones).

The product of its digits is 36578304, while the sum is 59.

The spelling of 442272437699 in words is "four hundred forty-two billion, two hundred seventy-two million, four hundred thirty-seven thousand, six hundred ninety-nine".

Divisors: 1 17 19 31 37 97 323 397 527 589 629 703 961 1147 1649 1843 3007 3589 6749 7543 10013 11951 12307 14689 16337 18259 19499 21793 31331 35557 38509 51119 57133 61013 68191 93217 111259 128231 209219 233833 249713 279091 310403 370481 381517 455359 604469 654653 675583 731671 971261 1159247 1193779 1424833 1584689 1771123 1891403 2113921 3449029 3975161 4744547 6485789 7248823 7741103 8651821 11484911 12438407 14116129 20294243 22681801 24222161 27071827 30109091 35936657 37007149 44169823 58633493 65531551 123229991 147080957 239974193 268206451 385590617 460221059 629121533 703135831 750886991 839226637 1114036367 1369264513 4559509667 11953309127 14266852829 23277496721 26016025747 442272437699