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24021144020 = 2259739731189
BaseRepresentation
bin10110010111110001…
…011001000111010100
32022000002000112211202
4112113301121013110
5343143403102040
615011332252032
71510160232566
oct262761310724
968002015752
1024021144020
11a207345045
1247a4771018
13235a7c03b3
14123c381336
15958cbb015
hex597c591d4

24021144020 has 48 divisors (see below), whose sum is σ = 51094459920. Its totient is φ = 9485144064.

The previous prime is 24021143999. The next prime is 24021144029. The reversal of 24021144020 is 2044112042.

It can be written as a sum of positive squares in 8 ways, for example, as 1512743236 + 22508400784 = 38894^2 + 150028^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 24021143983 and 24021144001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (24021144029) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 754586 + ... + 785774.

It is an arithmetic number, because the mean of its divisors is an integer number (1064467915).

Almost surely, 224021144020 is an apocalyptic number.

24021144020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

24021144020 is an abundant number, since it is smaller than the sum of its proper divisors (27073315900).

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

24021144020 is a wasteful number, since it uses less digits than its factorization.

24021144020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31692 (or 31690 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 20.

Adding to 24021144020 its reverse (2044112042), we get a palindrome (26065256062).

The spelling of 24021144020 in words is "twenty-four billion, twenty-one million, one hundred forty-four thousand, twenty".

Divisors: 1 2 4 5 10 20 97 194 388 397 485 794 970 1588 1940 1985 3970 7940 31189 38509 62378 77018 124756 154036 155945 192545 311890 385090 623780 770180 3025333 6050666 12101332 12382033 15126665 24764066 30253330 49528132 60506660 61910165 123820330 247640660 1201057201 2402114402 4804228804 6005286005 12010572010 24021144020