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21043032444 = 2234753175061
BaseRepresentation
bin10011100110010000…
…110011000101111100
32000022112011210210000
4103212100303011330
5321044004014234
613400025114300
71343315552550
oct234620630574
960275153700
1021043032444
118a19274805
1240b3328990
131ca48009b5
141038a35860
158325ec899
hex4e643317c

21043032444 has 120 divisors (see below), whose sum is σ = 64055886048. Its totient is φ = 5898821760.

The previous prime is 21043032379. The next prime is 21043032457. The reversal of 21043032444 is 44423034012.

It is a happy number.

21043032444 is a `hidden beast` number, since 210 + 4 + 3 + 0 + 3 + 2 + 444 = 666.

It is a super-2 number, since 2×210430324442 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

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 39 ways as a sum of consecutive naturals, for example, 32674 + ... + 207734.

Almost surely, 221043032444 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21043032444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32027943024).

21043032444 is an abundant number, since it is smaller than the sum of its proper divisors (43012853604).

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

21043032444 is a wasteful number, since it uses less digits than its factorization.

21043032444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 175137 (or 175126 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 27.

Adding to 21043032444 its reverse (44423034012), we get a palindrome (65466066456).

The spelling of 21043032444 in words is "twenty-one billion, forty-three million, thirty-two thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 53 54 63 81 84 106 108 126 159 162 189 212 252 318 324 371 378 477 567 636 742 756 954 1113 1134 1431 1484 1908 2226 2268 2862 3339 4293 4452 5724 6678 8586 10017 13356 17172 20034 30051 40068 60102 120204 175061 350122 525183 700244 1050366 1225427 1575549 2100732 2450854 3151098 3676281 4726647 4901708 6302196 7352562 9278233 9453294 11028843 14179941 14705124 18556466 18906588 22057686 27834699 28359882 33086529 37112932 44115372 55669398 56719764 64947631 66173058 83504097 99259587 111338796 129895262 132346116 167008194 194842893 198519174 250512291 259790524 334016388 389685786 397038348 501024582 584528679 751536873 779371572 1002049164 1169057358 1503073746 1753586037 2338114716 3006147492 3507172074 5260758111 7014344148 10521516222 21043032444