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20144300424 = 2333745749639
BaseRepresentation
bin10010110000101100…
…011010000110001000
31220222220001111012220
4102300230122012020
5312223420103144
613130522134040
71312123504563
oct226054320610
956886044186
1020144300424
1185a7a29076
123aa2351320
131b9055c4c1
14d915294da
157cd771919
hex4b0b1a188

20144300424 has 64 divisors (see below), whose sum is σ = 51836073600. Its totient is φ = 6518859264.

The previous prime is 20144300417. The next prime is 20144300443. The reversal of 20144300424 is 42400344102.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 20144300394 and 20144300403.

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 15 ways as a sum of consecutive naturals, for example, 380997 + ... + 430635.

It is an arithmetic number, because the mean of its divisors is an integer number (809938650).

Almost surely, 220144300424 is an apocalyptic number.

20144300424 is a gapful number since it is divisible by the number (24) 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 20144300424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25918036800).

20144300424 is an abundant number, since it is smaller than the sum of its proper divisors (31691773176).

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

20144300424 is a wasteful number, since it uses less digits than its factorization.

20144300424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50142 (or 50138 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

Adding to 20144300424 its reverse (42400344102), we get a palindrome (62544644526).

The spelling of 20144300424 in words is "twenty billion, one hundred forty-four million, three hundred thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 24 37 74 111 148 222 296 444 457 888 914 1371 1828 2742 3656 5484 10968 16909 33818 49639 50727 67636 99278 101454 135272 148917 198556 202908 297834 397112 405816 595668 1191336 1836643 3673286 5509929 7346572 11019858 14693144 22039716 22685023 44079432 45370046 68055069 90740092 136110138 181480184 272220276 544440552 839345851 1678691702 2518037553 3357383404 5036075106 6714766808 10072150212 20144300424