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24421300312442 = 211317159534649
BaseRepresentation
bin1011000110110000001101…
…11011100001100101111010
310012110122122102000120011112
411203120012323201211322
511200104310334444232
6123534553540000322
75100244405424225
oct543300673414572
9105418572016145
1024421300312442
117866019401000
1228a50180900a2
131081bc360c677
14605dd66085bc
152c53c27084b2
hex163606ee197a

24421300312442 has 32 divisors (see below), whose sum is σ = 40294816848000. Its totient is φ = 11099923364640.

The previous prime is 24421300312439. The next prime is 24421300312447.

It is a happy number.

24421300312442 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 24421300312399 and 24421300312408.

It is not an unprimeable number, because it can be changed into a prime (24421300312447) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 45409934 + ... + 45944582.

It is an arithmetic number, because the mean of its divisors is an integer number (1259213026500).

Almost surely, 224421300312442 is an apocalyptic number.

24421300312442 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

24421300312442 is a deficient number, since it is larger than the sum of its proper divisors (15873516535558).

24421300312442 is a wasteful number, since it uses less digits than its factorization.

24421300312442 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 551843 (or 551821 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 32.

It can be divided in two parts, 24421300 and 312442, that added together give a palindrome (24733742).

The spelling of 24421300312442 in words is "twenty-four trillion, four hundred twenty-one billion, three hundred million, three hundred twelve thousand, four hundred forty-two".

Divisors: 1 2 11 22 121 242 1331 2662 17159 34318 188749 377498 534649 1069298 2076239 4152478 5881139 11762278 22838629 45677258 64692529 129385058 711617819 1423235638 9174042191 18348084382 100914464101 201828928202 1110059105111 2220118210222 12210650156221 24421300312442