Search a number
-
+
21404440300 = 225210312716363
BaseRepresentation
bin10011111011110011…
…011101011011101100
32001020201020020011011
4103323303131123230
5322314014042200
613455535235004
71355264512015
oct237363353354
961221206134
1021404440300
119094280891
124194378a64
13203164c4b9
141070a3200c
158541db5ba
hex4fbcdd6ec

21404440300 has 72 divisors (see below), whose sum is σ = 47270752256. Its totient is φ = 8411376960.

The previous prime is 21404440273. The next prime is 21404440349. The reversal of 21404440300 is 304440412.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1299919 + ... + 1316281.

Almost surely, 221404440300 is an apocalyptic number.

21404440300 is a gapful number since it is divisible by the number (20) 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 21404440300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23635376128).

21404440300 is an abundant number, since it is smaller than the sum of its proper divisors (25866311956).

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

21404440300 is a wasteful number, since it uses less digits than its factorization.

21404440300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16607 (or 16600 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 22.

Adding to 21404440300 its reverse (304440412), we get a palindrome (21708880712).

The spelling of 21404440300 in words is "twenty-one billion, four hundred four million, four hundred forty thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 50 100 103 127 206 254 412 508 515 635 1030 1270 2060 2540 2575 3175 5150 6350 10300 12700 13081 16363 26162 32726 52324 65405 65452 81815 130810 163630 261620 327025 327260 409075 654050 818150 1308100 1636300 1685389 2078101 3370778 4156202 6741556 8312404 8426945 10390505 16853890 20781010 33707780 41562020 42134725 51952525 84269450 103905050 168538900 207810100 214044403 428088806 856177612 1070222015 2140444030 4280888060 5351110075 10702220150 21404440300