Search a number
-
+
622444042212641 = 112173721931114467
BaseRepresentation
bin1000110110000111000000110…
…0000001110101010100100001
310000121220001212111222010010122
42031201300030001311110201
51123041110344301301031
610043454502341210025
7245052045423320345
oct21541601401652441
93017801774863118
10622444042212641
1117036a043823400
12599899aa400915
13209412b53269bc
14ad9c6494cb625
154be62e822447b
hex2361c0c075521

622444042212641 has 72 divisors (see below), whose sum is σ = 744919701247008. Its totient is φ = 517905720921600.

The previous prime is 622444042212631. The next prime is 622444042212689. The reversal of 622444042212641 is 146212240444226.

It is not a de Polignac number, because 622444042212641 - 246 = 552075298034977 is a prime.

It is a super-2 number, since 2×6224440422126412 (a number of 30 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 622444042212592 and 622444042212601.

It is not an unprimeable number, because it can be changed into a prime (622444042212611) by changing a digit.

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 71 ways as a sum of consecutive naturals, for example, 5437702490 + ... + 5437816956.

It is an arithmetic number, because the mean of its divisors is an integer number (10346106961764).

Almost surely, 2622444042212641 is an apocalyptic number.

It is an amenable number.

622444042212641 is a deficient number, since it is larger than the sum of its proper divisors (122475659034367).

622444042212641 is a wasteful number, since it uses less digits than its factorization.

622444042212641 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116511 (or 116463 counting only the distinct ones).

The product of its (nonzero) digits is 1179648, while the sum is 44.

Adding to 622444042212641 its reverse (146212240444226), we get a palindrome (768656282656867).

The spelling of 622444042212641 in words is "six hundred twenty-two trillion, four hundred forty-four billion, forty-two million, two hundred twelve thousand, six hundred forty-one".

Divisors: 1 11 17 37 121 187 407 629 1369 1931 2057 4477 6919 15059 21241 23273 32827 71447 76109 114467 165649 233651 256003 361097 785917 1214599 1259137 1945939 2643539 2816033 3972067 4235279 8645087 13360589 13850507 21405329 29078929 44940163 46588069 71999743 146966479 156705323 221035777 235458619 319868219 494341793 512468759 791997173 1723758553 2431393547 2663990491 3757608209 5437759723 8178323749 8711968903 18961344083 26745329017 29303895401 41333690299 89961561239 139031503733 302597978713 322342849411 454670593289 989577173629 1529346541063 3328577765843 5144165638121 16822811951693 36614355424273 56585822019331 622444042212641