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21444411440 = 2452231202041
BaseRepresentation
bin10011111110001011…
…111100000000110000
32001100111102222020202
4103332023330000300
5322404232131230
613503524054332
71356261326654
oct237613740060
961314388222
1021444411440
1191048a1791
1241a58343a8
132039a05b6a
141076078a64
15857984a45
hex4fe2fc030

21444411440 has 40 divisors (see below), whose sum is σ = 50081877888. Its totient is φ = 8539292160.

The previous prime is 21444411377. The next prime is 21444411463. The reversal of 21444411440 is 4411444412.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (40).

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 7 ways as a sum of consecutive naturals, for example, 583181 + ... + 618860.

Almost surely, 221444411440 is an apocalyptic number.

21444411440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21444411440 is an abundant number, since it is smaller than the sum of its proper divisors (28637466448).

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

21444411440 is a wasteful number, since it uses less digits than its factorization.

21444411440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1202277 (or 1202271 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 29.

Adding to 21444411440 its reverse (4411444412), we get a palindrome (25855855852).

The spelling of 21444411440 in words is "twenty-one billion, four hundred forty-four million, four hundred eleven thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 223 446 892 1115 1784 2230 3568 4460 8920 17840 1202041 2404082 4808164 6010205 9616328 12020410 19232656 24040820 48081640 96163280 268055143 536110286 1072220572 1340275715 2144441144 2680551430 4288882288 5361102860 10722205720 21444411440