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22414121003424 = 253299467850433
BaseRepresentation
bin1010001100010101100011…
…01110000110100110100000
32221100202202122001000200110
411012022301232012212200
510414213104434102144
6115400523253251320
74502236546000113
oct506126156064640
987322678030613
1022414121003424
117161858a76087
12262000b933b40
13c67847880b67
14576bc648457a
1528d0992e30b9
hex1462b1b869a0

22414121003424 has 96 divisors (see below), whose sum is σ = 60872432886720. Its totient is φ = 7212969623552.

The previous prime is 22414121003419. The next prime is 22414121003497. The reversal of 22414121003424 is 42430012141422.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×224141210034242 (a number of 28 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 22414121003391 and 22414121003400.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 25930912 + ... + 26781344.

It is an arithmetic number, because the mean of its divisors is an integer number (634087842570).

Almost surely, 222414121003424 is an apocalyptic number.

22414121003424 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

22414121003424 is an abundant number, since it is smaller than the sum of its proper divisors (38458311883296).

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

22414121003424 is a wasteful number, since it uses less digits than its factorization.

22414121003424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 859942 (or 859934 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 30.

Adding to 22414121003424 its reverse (42430012141422), we get a palindrome (64844133144846).

The spelling of 22414121003424 in words is "twenty-two trillion, four hundred fourteen billion, one hundred twenty-one million, three thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 24 29 32 48 58 87 96 116 174 232 348 464 696 928 1392 2784 9467 18934 28401 37868 56802 75736 113604 151472 227208 274543 302944 454416 549086 823629 850433 908832 1098172 1647258 1700866 2196344 2551299 3294516 3401732 4392688 5102598 6589032 6803464 8785376 10205196 13178064 13606928 20410392 24662557 26356128 27213856 40820784 49325114 73987671 81641568 98650228 147975342 197300456 295950684 394600912 591901368 789201824 1183802736 2367605472 8051049211 16102098422 24153147633 32204196844 48306295266 64408393688 96612590532 128816787376 193225181064 233480427119 257633574752 386450362128 466960854238 700441281357 772900724256 933921708476 1400882562714 1867843416952 2801765125428 3735686833904 5603530250856 7471373667808 11207060501712 22414121003424