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21424430000 = 245416712829
BaseRepresentation
bin10011111100111111…
…101101101110110000
32001022002211210212102
4103330333231232300
5322334123230000
613501531515532
71355626436021
oct237477555660
961262753772
1021424430000
1190a45943a6
12419abb8ba8
13203582b01c
141073556c48
15855d393d5
hex4fcfedbb0

21424430000 has 100 divisors (see below), whose sum is σ = 52185357840. Its totient is φ = 8517792000.

The previous prime is 21424429997. The next prime is 21424430009. The reversal of 21424430000 is 3442412.

It is a tau number, because it is divible by the number of its divisors (100).

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 (21424430009) by changing a digit.

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 19 ways as a sum of consecutive naturals, for example, 1663586 + ... + 1676414.

Almost surely, 221424430000 is an apocalyptic number.

21424430000 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 21424430000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26092678920).

21424430000 is an abundant number, since it is smaller than the sum of its proper divisors (30760927840).

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

21424430000 is a wasteful number, since it uses less digits than its factorization.

21424430000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13024 (or 13003 counting only the distinct ones).

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

Adding to 21424430000 its reverse (3442412), we get a palindrome (21427872412).

The spelling of 21424430000 in words is "twenty-one billion, four hundred twenty-four million, four hundred thirty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 167 200 250 334 400 500 625 668 835 1000 1250 1336 1670 2000 2500 2672 3340 4175 5000 6680 8350 10000 12829 13360 16700 20875 25658 33400 41750 51316 64145 66800 83500 102632 104375 128290 167000 205264 208750 256580 320725 334000 417500 513160 641450 835000 1026320 1282900 1603625 1670000 2142443 2565800 3207250 4284886 5131600 6414500 8018125 8569772 10712215 12829000 16036250 17139544 21424430 25658000 32072500 34279088 42848860 53561075 64145000 85697720 107122150 128290000 171395440 214244300 267805375 428488600 535610750 856977200 1071221500 1339026875 2142443000 2678053750 4284886000 5356107500 10712215000 21424430000