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2024440131 = 37359268529
BaseRepresentation
bin111100010101010…
…1000000101000011
312020002100012210010
41320222220011003
513121224041011
6532514440003
7101111312550
oct17052500503
95202305703
102024440131
1194981a91a
12485b93003
1326355378c
14152c1ba27
15bcade1a6
hex78aa8143

2024440131 has 16 divisors (see below), whose sum is σ = 3093465600. Its totient is φ = 1153596288.

The previous prime is 2024440081. The next prime is 2024440141. The reversal of 2024440131 is 1310444202.

It is not a de Polignac number, because 2024440131 - 29 = 2024439619 is a prime.

It is a super-2 number, since 2×20244401312 = 8196715688006594322, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 2024440098 and 2024440107.

It is not an unprimeable number, because it can be changed into a prime (2024440141) by changing a digit.

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, 126726 + ... + 141803.

It is an arithmetic number, because the mean of its divisors is an integer number (193341600).

Almost surely, 22024440131 is an apocalyptic number.

2024440131 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

2024440131 is a deficient number, since it is larger than the sum of its proper divisors (1069025469).

2024440131 is a wasteful number, since it uses less digits than its factorization.

2024440131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 268898.

The product of its (nonzero) digits is 768, while the sum is 21.

The square root of 2024440131 is about 44993.7788032968. The cubic root of 2024440131 is about 1265.0323916987.

Adding to 2024440131 its reverse (1310444202), we get a palindrome (3334884333).

The spelling of 2024440131 in words is "two billion, twenty-four million, four hundred forty thousand, one hundred thirty-one".

Divisors: 1 3 7 21 359 1077 2513 7539 268529 805587 1879703 5639109 96401911 289205733 674813377 2024440131