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2312442440224 = 25743673583271
BaseRepresentation
bin100001101001101000010…
…011110110101000100000
322012001211002102022221121
4201221220103312220200
5300341340231041344
64530153230502024
7326032323266350
oct41515023665040
98161732368847
102312442440224
11811779521634
12314200364914
1313a0a70a8537
147dccc2a0b60
1540242ba5684
hex21a684f6a20

2312442440224 has 96 divisors (see below), whose sum is σ = 5403459511296. Its totient is φ = 953551146240.

The previous prime is 2312442440221. The next prime is 2312442440263. The reversal of 2312442440224 is 4220442442132.

It is a self number, because there is not a number n which added to its sum of digits gives 2312442440224.

It is not an unprimeable number, because it can be changed into a prime (2312442440221) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1146292 + ... + 2436979.

It is an arithmetic number, because the mean of its divisors is an integer number (56286036576).

Almost surely, 22312442440224 is an apocalyptic number.

It is an amenable number.

2312442440224 is an abundant number, since it is smaller than the sum of its proper divisors (3091017071072).

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

2312442440224 is a wasteful number, since it uses less digits than its factorization.

2312442440224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3583398 (or 3583390 counting only the distinct ones).

The product of its (nonzero) digits is 98304, while the sum is 34.

Adding to 2312442440224 its reverse (4220442442132), we get a palindrome (6532884882356).

The spelling of 2312442440224 in words is "two trillion, three hundred twelve billion, four hundred forty-two million, four hundred forty thousand, two hundred twenty-four".

Divisors: 1 2 4 7 8 14 16 28 32 43 56 67 86 112 134 172 224 268 301 344 469 536 602 688 938 1072 1204 1376 1876 2144 2408 2881 3752 4816 5762 7504 9632 11524 15008 20167 23048 40334 46096 80668 92192 161336 322672 645344 3583271 7166542 14333084 25082897 28666168 50165794 57332336 100331588 114664672 154080653 200663176 240079157 308161306 401326352 480158314 616322612 802652704 960316628 1078564571 1232645224 1680554099 1920633256 2157129142 2465290448 3361108198 3841266512 4314258284 4930580896 6722216396 7682533024 8628516568 10323403751 13444432792 17257033136 20646807502 26888865584 34514066272 41293615004 53777731168 72263826257 82587230008 144527652514 165174460016 289055305028 330348920032 578110610056 1156221220112 2312442440224