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21443042000 = 2453102110501
BaseRepresentation
bin10011111110000110…
…101101101011010000
32001100101212101201202
4103332012231223100
5322403404321000
613503434450332
71356243564302
oct237606555320
961311771652
1021443042000
119104046916
1241a52939a8
132039646743
141075bdd972
158577b3dd5
hex4fe1adad0

21443042000 has 80 divisors (see below), whose sum is σ = 51905000784. Its totient is φ = 8568000000.

The previous prime is 21443041981. The next prime is 21443042003. The reversal of 21443042000 is 24034412.

It can be written as a sum of positive squares in 8 ways, for example, as 8272266304 + 13170775696 = 90952^2 + 114764^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21443042003) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 2036750 + ... + 2047250.

Almost surely, 221443042000 is an apocalyptic number.

21443042000 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 21443042000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25952500392).

21443042000 is an abundant number, since it is smaller than the sum of its proper divisors (30461958784).

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

21443042000 is a wasteful number, since it uses less digits than its factorization.

21443042000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11545 (or 11529 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

Adding to 21443042000 its reverse (24034412), we get a palindrome (21467076412).

The spelling of 21443042000 in words is "twenty-one billion, four hundred forty-three million, forty-two thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 500 1000 1021 2000 2042 4084 5105 8168 10210 10501 16336 20420 21002 25525 40840 42004 51050 52505 81680 84008 102100 105010 127625 168016 204200 210020 255250 262525 408400 420040 510500 525050 840080 1021000 1050100 1312625 2042000 2100200 2625250 4200400 5250500 10501000 10721521 21002000 21443042 42886084 53607605 85772168 107215210 171544336 214430420 268038025 428860840 536076050 857721680 1072152100 1340190125 2144304200 2680380250 4288608400 5360760500 10721521000 21443042000