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24134243220 = 2234514897681
BaseRepresentation
bin10110011110100000…
…110101001110010100
32022021221211120210000
4112132200311032110
5343411331240340
615030452331300
71513032453063
oct263640651624
968257746700
1024134243220
11a26517315a
124816613b30
13237806c2b9
14124d3c21da
15963babd30
hex59e835394

24134243220 has 60 divisors (see below), whose sum is σ = 75710019924. Its totient is φ = 6435797760.

The previous prime is 24134243141. The next prime is 24134243257. The reversal of 24134243220 is 2234243142.

24134243220 is a `hidden beast` number, since 2 + 4 + 13 + 424 + 3 + 220 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 17275422096 + 6858821124 = 131436^2 + 82818^2 .

It is a tau number, because it is divible by the number of its divisors (60).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

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 19 ways as a sum of consecutive naturals, for example, 7447221 + ... + 7450460.

Almost surely, 224134243220 is an apocalyptic number.

24134243220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

24134243220 is an abundant number, since it is smaller than the sum of its proper divisors (51575776704).

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

24134243220 is a wasteful number, since it uses less digits than its factorization.

24134243220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14897702 (or 14897691 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 27.

Adding to 24134243220 its reverse (2234243142), we get a palindrome (26368486362).

The spelling of 24134243220 in words is "twenty-four billion, one hundred thirty-four million, two hundred forty-three thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 81 90 108 135 162 180 270 324 405 540 810 1620 14897681 29795362 44693043 59590724 74488405 89386086 134079129 148976810 178772172 223465215 268158258 297953620 402237387 446930430 536316516 670395645 804474774 893860860 1206712161 1340791290 1608949548 2011186935 2413424322 2681582580 4022373870 4826848644 6033560805 8044747740 12067121610 24134243220