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14245528824 = 23324314930881
BaseRepresentation
bin11010100010001100…
…11000010011111000
31100202210110211210200
431101012120103320
5213133323410244
610313323042200
71013005666002
oct152106302370
940683424720
1014245528824
11605025871a
122916970360
1314604473c7
14991d4b372
15585982669
hex3511984f8

14245528824 has 96 divisors (see below), whose sum is σ = 39745134000. Its totient is φ = 4606801920.

The previous prime is 14245528823. The next prime is 14245528861. The reversal of 14245528824 is 42882554241.

It is a happy number.

14245528824 is a `hidden beast` number, since 1 + 4 + 2 + 45 + 528 + 82 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 14245528824.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14245528823) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 445864 + ... + 476744.

Almost surely, 214245528824 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 14245528824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19872567000).

14245528824 is an abundant number, since it is smaller than the sum of its proper divisors (25499605176).

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

14245528824 is a wasteful number, since it uses less digits than its factorization.

14245528824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31085 (or 31078 counting only the distinct ones).

The product of its digits is 819200, while the sum is 45.

The spelling of 14245528824 in words is "fourteen billion, two hundred forty-five million, five hundred twenty-eight thousand, eight hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 43 72 86 129 149 172 258 298 344 387 447 516 596 774 894 1032 1192 1341 1548 1788 2682 3096 3576 5364 6407 10728 12814 19221 25628 30881 38442 51256 57663 61762 76884 92643 115326 123524 153768 185286 230652 247048 277929 370572 461304 555858 741144 1111716 1327883 2223432 2655766 3983649 4601269 5311532 7967298 9202538 10623064 11950947 13803807 15934596 18405076 23901894 27607614 31869192 36810152 41411421 47803788 55215228 82822842 95607576 110430456 165645684 197854567 331291368 395709134 593563701 791418268 1187127402 1582836536 1780691103 2374254804 3561382206 4748509608 7122764412 14245528824