Search a number
-
+
21143398284 = 223219129723833
BaseRepresentation
bin10011101100001111…
…101010011110001100
32000120112000220211100
4103230033222132030
5321300202221114
613414012223100
71345644630411
oct235417523614
960515026740
1021143398284
118a6a996088
124120a6aa90
131cbc541b78
1410480c0108
1583b325909
hex4ec3ea78c

21143398284 has 72 divisors (see below), whose sum is σ = 56304488240. Its totient is φ = 6671434752.

The previous prime is 21143398273. The next prime is 21143398319. The reversal of 21143398284 is 48289334112.

21143398284 is a `hidden beast` number, since 21 + 14 + 339 + 8 + 284 = 666.

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 23 ways as a sum of consecutive naturals, for example, 875232 + ... + 899064.

Almost surely, 221143398284 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 21143398284, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28152244120).

21143398284 is an abundant number, since it is smaller than the sum of its proper divisors (35161089956).

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

21143398284 is a wasteful number, since it uses less digits than its factorization.

21143398284 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25159 (or 25154 counting only the distinct ones).

The product of its digits is 331776, while the sum is 45.

The spelling of 21143398284 in words is "twenty-one billion, one hundred forty-three million, three hundred ninety-eight thousand, two hundred eighty-four".

Divisors: 1 2 3 4 6 9 12 18 19 36 38 57 76 114 171 228 342 684 1297 2594 3891 5188 7782 11673 15564 23346 23833 24643 46692 47666 49286 71499 73929 95332 98572 142998 147858 214497 221787 285996 295716 428994 443574 452827 857988 887148 905654 1358481 1811308 2716962 4075443 5433924 8150886 16301772 30911401 61822802 92734203 123645604 185468406 278202609 370936812 556405218 587316619 1112810436 1174633238 1761949857 2349266476 3523899714 5285849571 7047799428 10571699142 21143398284