Search a number
-
+
2024440030344 = 233711560776123
BaseRepresentation
bin11101011101011010000…
…001110110010010001000
321011112102201002000211010
4131131122001312102020
5231132023121432334
64150003115403520
7266155340222604
oct35353201662210
97145381060733
102024440030344
11710618690376
12288424a535a0
13118b99a795a4
146ddaa710504
15379d893d0e9
hex1d75a076488

2024440030344 has 64 divisors (see below), whose sum is σ = 5132779453440. Its totient is φ = 665257561920.

The previous prime is 2024440030331. The next prime is 2024440030357. The reversal of 2024440030344 is 4430300444202.

It is an interprime number because it is at equal distance from previous prime (2024440030331) and next prime (2024440030357).

It is an unprimeable number.

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, 26556267 + ... + 26632389.

It is an arithmetic number, because the mean of its divisors is an integer number (80199678960).

Almost surely, 22024440030344 is an apocalyptic number.

2024440030344 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2024440030344 is an abundant number, since it is smaller than the sum of its proper divisors (3108339423096).

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

2024440030344 is a wasteful number, since it uses less digits than its factorization.

2024440030344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91810 (or 91806 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 30.

Adding to 2024440030344 its reverse (4430300444202), we get a palindrome (6454740474546).

The spelling of 2024440030344 in words is "two trillion, twenty-four billion, four hundred forty million, thirty thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 12 24 71 142 213 284 426 568 852 1704 15607 31214 46821 62428 76123 93642 124856 152246 187284 228369 304492 374568 456738 608984 913476 1108097 1826952 2216194 3324291 4432388 5404733 6648582 8864776 10809466 13297164 16214199 21618932 26594328 32428398 43237864 64856796 129713592 1188051661 2376103322 3564154983 4752206644 7128309966 9504413288 14256619932 28513239864 84351667931 168703335862 253055003793 337406671724 506110007586 674813343448 1012220015172 2024440030344