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1224321014004 = 22311421131916703
BaseRepresentation
bin10001110100001111001…
…110000001100011110100
311100001012000222122002220
4101310033032001203310
5130024402134422004
62334240104202340
7154311546624264
oct21641716014364
94301160878086
101224321014004
11432260326970
121793467693b0
138b5b725b95a
14433866477a4
1521ca9e8bdd9
hex11d0f3818f4

1224321014004 has 96 divisors (see below), whose sum is σ = 3126411509760. Its totient is φ = 369822364800.

The previous prime is 1224321013999. The next prime is 1224321014039. The reversal of 1224321014004 is 4004101234221.

It is a super-2 number, since 2×12243210140042 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 73291117 + ... + 73307819.

It is an arithmetic number, because the mean of its divisors is an integer number (32566786560).

Almost surely, 21224321014004 is an apocalyptic number.

It is an amenable number.

1224321014004 is an abundant number, since it is smaller than the sum of its proper divisors (1902090495756).

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

1224321014004 is a wasteful number, since it uses less digits than its factorization.

1224321014004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18461 (or 18459 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 1224321014004 its reverse (4004101234221), we get a palindrome (5228422248225).

The spelling of 1224321014004 in words is "one trillion, two hundred twenty-four billion, three hundred twenty-one million, fourteen thousand, four".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 132 421 842 1263 1319 1684 2526 2638 3957 4631 5052 5276 7914 9262 13893 14509 15828 16703 18524 27786 29018 33406 43527 50109 55572 58036 66812 87054 100218 174108 183733 200436 367466 551199 555299 734932 1102398 1110598 1665897 2204796 2221196 3331794 6108289 6663588 7031963 12216578 14063926 18324867 21095889 22031257 24433156 28127852 36649734 42191778 44062514 66093771 73299468 77351593 84383556 88125028 132187542 154703186 232054779 242343827 264375084 309406372 464109558 484687654 727031481 928219116 969375308 1454062962 2908125924 9275159197 18550318394 27825477591 37100636788 55650955182 102026751167 111301910364 204053502334 306080253501 408107004668 612160507002 1224321014004