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21443440224 = 2532316359581
BaseRepresentation
bin10011111110001000…
…001110111001100000
32001100102121121222210
4103332020032321200
5322404010041344
613503451202120
71356250143303
oct237610167140
961312547883
1021443440224
119104299028
1241a5446340
132039755a8b
141075ca4b3a
15857841db9
hex4fe20ee60

21443440224 has 96 divisors (see below), whose sum is σ = 59097717504. Its totient is φ = 6794979840.

The previous prime is 21443440211. The next prime is 21443440273. The reversal of 21443440224 is 42204434412.

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

It is a super-2 number, since 2×214434402242 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 21443440191 and 21443440200.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 330114 + ... + 389694.

It is an arithmetic number, because the mean of its divisors is an integer number (615601224).

Almost surely, 221443440224 is an apocalyptic number.

21443440224 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21443440224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29548858752).

21443440224 is an abundant number, since it is smaller than the sum of its proper divisors (37654277280).

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

21443440224 is a wasteful number, since it uses less digits than its factorization.

21443440224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59780 (or 59772 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 30.

Adding to 21443440224 its reverse (42204434412), we get a palindrome (63647874636).

The spelling of 21443440224 in words is "twenty-one billion, four hundred forty-three million, four hundred forty thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 23 24 32 46 48 69 92 96 138 163 184 276 326 368 489 552 652 736 978 1104 1304 1956 2208 2608 3749 3912 5216 7498 7824 11247 14996 15648 22494 29992 44988 59581 59984 89976 119162 119968 178743 179952 238324 357486 359904 476648 714972 953296 1370363 1429944 1906592 2740726 2859888 4111089 5481452 5719776 8222178 9711703 10962904 16444356 19423406 21925808 29135109 32888712 38846812 43851616 58270218 65777424 77693624 116540436 131554848 155387248 223369169 233080872 310774496 446738338 466161744 670107507 893476676 932323488 1340215014 1786953352 2680430028 3573906704 5360860056 7147813408 10721720112 21443440224