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1144222404024 = 233715739432737
BaseRepresentation
bin10000101001101000111…
…110000100110110111000
311001101102211022122122110
4100221220332010312320
5122221331413412044
62233352025052320
7145444616650110
oct20515076046670
94041384278573
101144222404024
11401297798737
121659119270a0
1383b9087bc4b
143d548760040
151eb6cee06b9
hex10a68f84db8

1144222404024 has 64 divisors (see below), whose sum is σ = 3269422137600. Its totient is φ = 326899160064.

The previous prime is 1144222404023. The next prime is 1144222404047. The reversal of 1144222404024 is 4204042224411.

It is a junction number, because it is equal to n+sod(n) for n = 1144222403982 and 1144222404000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1144222404023) 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 15 ways as a sum of consecutive naturals, for example, 2427784 + ... + 2860520.

It is an arithmetic number, because the mean of its divisors is an integer number (51084720900).

Almost surely, 21144222404024 is an apocalyptic number.

1144222404024 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

1144222404024 is an abundant number, since it is smaller than the sum of its proper divisors (2125199733576).

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

1144222404024 is a wasteful number, since it uses less digits than its factorization.

1144222404024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 448492 (or 448488 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 30.

Adding to 1144222404024 its reverse (4204042224411), we get a palindrome (5348264628435).

The spelling of 1144222404024 in words is "one trillion, one hundred forty-four billion, two hundred twenty-two million, four hundred four thousand, twenty-four".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 168 15739 31478 47217 62956 94434 110173 125912 188868 220346 330519 377736 432737 440692 661038 865474 881384 1298211 1322076 1730948 2596422 2644152 3029159 3461896 5192844 6058318 9087477 10385688 12116636 18174954 24233272 36349908 72699816 6810847643 13621695286 20432542929 27243390572 40865085858 47675933501 54486781144 81730171716 95351867002 143027800503 163460343432 190703734004 286055601006 381407468008 572111202012 1144222404024