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114422205473505 = 32514339377189229
BaseRepresentation
bin11010000001000011111110…
…111010010110001011100001
3120000010122201020022210011200
4122001003332322112023201
5104444143134100123010
61043204500250231413
733046505630034546
oct3201037672261341
9500118636283150
10114422205473505
1133505204011056
12109bb959125569
134bacc76cac957
1420380c85ccbcd
15d365b6780cc0
hex6810fee962e1

114422205473505 has 48 divisors (see below), whose sum is σ = 198492440636880. Its totient is φ = 60975764987904.

The previous prime is 114422205473491. The next prime is 114422205473557. The reversal of 114422205473505 is 505374502224411.

114422205473505 is a `hidden beast` number, since 1 + 1 + 4 + 4 + 2 + 2 + 20 + 54 + 73 + 505 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 8315910247824 + 106106295225681 = 2883732^2 + 10300791^2 .

It is not a de Polignac number, because 114422205473505 - 212 = 114422205469409 is a prime.

It is a super-2 number, since 2×1144222054735052 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 604581231 + ... + 604770459.

It is an arithmetic number, because the mean of its divisors is an integer number (4135259179935).

Almost surely, 2114422205473505 is an apocalyptic number.

114422205473505 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

114422205473505 is a deficient number, since it is larger than the sum of its proper divisors (84070235163375).

114422205473505 is a wasteful number, since it uses less digits than its factorization.

114422205473505 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 200050 (or 200047 counting only the distinct ones).

The product of its (nonzero) digits is 1344000, while the sum is 45.

Adding to 114422205473505 its reverse (505374502224411), we get a palindrome (619796707697916).

The spelling of 114422205473505 in words is "one hundred fourteen trillion, four hundred twenty-two billion, two hundred five million, four hundred seventy-three thousand, five hundred five".

Divisors: 1 3 5 9 15 45 1433 4299 7165 9377 12897 21495 28131 46885 64485 84393 140655 189229 421965 567687 946145 1703061 2838435 8515305 13437241 40311723 67186205 120935169 201558615 271165157 604675845 813495471 1355825785 1774400333 2440486413 4067477355 5323200999 8872001665 12202432065 15969602997 26616004995 79848014985 2542715677189 7628147031567 12713578385945 22884441094701 38140735157835 114422205473505