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11424433224 = 23323313312017
BaseRepresentation
bin10101010001111001…
…10000010001001000
31002111012002100011110
422220330300101020
5141344123330344
65125345130320
7553052036331
oct125074602110
932435070143
1011424433224
114932881856
12226a0299a0
131100b42179
147a53d5288
1546ce7c3b9
hex2a8f30448

11424433224 has 128 divisors (see below), whose sum is σ = 30872494080. Its totient is φ = 3512678400.

The previous prime is 11424433169. The next prime is 11424433253. The reversal of 11424433224 is 42233442411.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 11424433191 and 11424433200.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 5663064 + ... + 5665080.

It is an arithmetic number, because the mean of its divisors is an integer number (241191360).

Almost surely, 211424433224 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11424433224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15436247040).

11424433224 is an abundant number, since it is smaller than the sum of its proper divisors (19448060856).

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

11424433224 is a wasteful number, since it uses less digits than its factorization.

11424433224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2411 (or 2407 counting only the distinct ones).

The product of its digits is 18432, while the sum is 30.

Adding to 11424433224 its reverse (42233442411), we get a palindrome (53657875635).

The spelling of 11424433224 in words is "eleven billion, four hundred twenty-four million, four hundred thirty-three thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 23 24 31 46 62 69 92 93 124 138 184 186 248 276 331 372 552 662 713 744 993 1324 1426 1986 2017 2139 2648 2852 3972 4034 4278 5704 6051 7613 7944 8068 8556 10261 12102 15226 16136 17112 20522 22839 24204 30452 30783 41044 45678 46391 48408 60904 61566 62527 82088 91356 92782 123132 125054 139173 182712 185564 187581 236003 246264 250108 278346 371128 375162 472006 500216 556692 667627 708009 750324 944012 1113384 1335254 1416018 1438121 1500648 1888024 2002881 2670508 2832036 2876242 4005762 4314363 5341016 5664072 5752484 8011524 8628726 11504968 15355421 16023048 17257452 20696437 30710842 34514904 41392874 46066263 61421684 62089311 82785748 92132526 122843368 124178622 165571496 184265052 248357244 368530104 476018051 496714488 952036102 1428054153 1904072204 2856108306 3808144408 5712216612 11424433224