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14447001024 = 263343194431
BaseRepresentation
bin11010111010001101…
…11011110111000000
31101021211120200201000
431131012323313000
5214041413013044
610345321212000
71021003324341
oct153506736700
941254520630
1014447001024
116143a56775
122972331000
1314930c8821
149b09d40c8
155984ccd69
hex35d1bbdc0

14447001024 has 112 divisors (see below), whose sum is σ = 43459440640. Its totient is φ = 4703650560.

The previous prime is 14447001011. The next prime is 14447001043. The reversal of 14447001024 is 42010074441.

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 (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 22912 + ... + 171519.

It is an arithmetic number, because the mean of its divisors is an integer number (388030720).

Almost surely, 214447001024 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 14447001024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21729720320).

14447001024 is an abundant number, since it is smaller than the sum of its proper divisors (29012439616).

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

14447001024 is a wasteful number, since it uses less digits than its factorization.

14447001024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 194495 (or 194479 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 27.

Adding to 14447001024 its reverse (42010074441), we get a palindrome (56457075465).

The spelling of 14447001024 in words is "fourteen billion, four hundred forty-seven million, one thousand, twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 43 48 54 64 72 86 96 108 129 144 172 192 216 258 288 344 387 432 516 576 688 774 864 1032 1161 1376 1548 1728 2064 2322 2752 3096 4128 4644 6192 8256 9288 12384 18576 24768 37152 74304 194431 388862 583293 777724 1166586 1555448 1749879 2333172 3110896 3499758 4666344 5249637 6221792 6999516 8360533 9332688 10499274 12443584 13999032 16721066 18665376 20998548 25081599 27998064 33442132 37330752 41997096 50163198 55996128 66884264 75244797 83994192 100326396 111992256 133768528 150489594 167988384 200652792 225734391 267537056 300979188 335976768 401305584 451468782 535074112 601958376 802611168 902937564 1203916752 1605222336 1805875128 2407833504 3611750256 4815667008 7223500512 14447001024