Search a number
-
+
21114433024 = 29173765563
BaseRepresentation
bin10011101010100001…
…001010111000000000
32000111111112022221221
4103222201022320000
5321220243324044
613411055324424
71345143501526
oct235241127000
960444468857
1021114433024
118a55602053
124113220714
131cb653cb69
141044300316
15838a03484
hex4ea84ae00

21114433024 has 80 divisors (see below), whose sum is σ = 45877228848. Its totient is φ = 9667510272.

The previous prime is 21114433019. The next prime is 21114433049. The reversal of 21114433024 is 42033441112.

It is a self number, because there is not a number n which added to its sum of digits gives 21114433024.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 289267 + ... + 354829.

Almost surely, 221114433024 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 21114433024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22938614424).

21114433024 is an abundant number, since it is smaller than the sum of its proper divisors (24762795824).

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

21114433024 is an equidigital number, since it uses as much as digits as its factorization.

21114433024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65635 (or 65619 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 25.

Adding to 21114433024 its reverse (42033441112), we get a palindrome (63147874136).

The spelling of 21114433024 in words is "twenty-one billion, one hundred fourteen million, four hundred thirty-three thousand, twenty-four".

Divisors: 1 2 4 8 16 17 32 34 37 64 68 74 128 136 148 256 272 296 512 544 592 629 1088 1184 1258 2176 2368 2516 4352 4736 5032 8704 9472 10064 18944 20128 40256 65563 80512 131126 161024 262252 322048 524504 1049008 1114571 2098016 2229142 2425831 4196032 4458284 4851662 8392064 8916568 9703324 16784128 17833136 19406648 33568256 35666272 38813296 41239127 71332544 77626592 82478254 142665088 155253184 164956508 285330176 310506368 329913016 570660352 621012736 659826032 1242025472 1319652064 2639304128 5278608256 10557216512 21114433024