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12442300442 = 2111317193672
BaseRepresentation
bin10111001011001111…
…00111000000011010
31012010010101100111022
423211213213000122
5200440212103232
65414345402442
7620221544255
oct134547470032
935103340438
1012442300442
115305399530
1224b2a99422
131233996a70
1486067409c
154cc4dc812
hex2e59e701a

12442300442 has 96 divisors (see below), whose sum is σ = 24504742080. Its totient is φ = 4642168320.

The previous prime is 12442300433. The next prime is 12442300457. The reversal of 12442300442 is 24400324421.

It is a happy number.

12442300442 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 33902543 + ... + 33902909.

It is an arithmetic number, because the mean of its divisors is an integer number (255257730).

Almost surely, 212442300442 is an apocalyptic number.

12442300442 is a deficient number, since it is larger than the sum of its proper divisors (12062441638).

12442300442 is a wasteful number, since it uses less digits than its factorization.

12442300442 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 796 (or 429 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 26.

Adding to 12442300442 its reverse (24400324421), we get a palindrome (36842624863).

The spelling of 12442300442 in words is "twelve billion, four hundred forty-two million, three hundred thousand, four hundred forty-two".

Divisors: 1 2 11 13 17 19 22 26 34 38 143 187 209 221 247 286 323 367 374 418 442 494 646 734 2431 2717 3553 4037 4199 4771 4862 5434 6239 6973 7106 8074 8398 9542 12478 13946 46189 52481 68629 76703 81107 90649 92378 104962 118541 134689 137258 153406 162214 181298 237082 269378 892177 997139 1303951 1481579 1541033 1750957 1784354 1994278 2289713 2559091 2607902 2963158 3082066 3501914 4579426 5118182 16951363 19260527 25186843 28150001 29766269 33268183 33902726 38521054 43504547 50373686 56300002 59532538 66536366 87009094 327428959 365950013 478550017 565559111 654857918 731900026 957100034 1131118222 6221150221 12442300442