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443142002211440 = 2457823961512763
BaseRepresentation
bin110010011000010010000100…
…1101000000111101001110000
32011010000221222001200011101212
41210300210021220013221300
5431040414310031231230
64210252343031015252
7162224644631104550
oct14460441150075160
92133027861604355
10443142002211440
11119220516618684
124184ba7bb0a528
131603615ac7719c
147b6028a11b160
153637218e5d895
hex1930909a07a70

443142002211440 has 80 divisors (see below), whose sum is σ = 1178922338093568. Its totient is φ = 151749790149888.

The previous prime is 443142002211431. The next prime is 443142002211481. The reversal of 443142002211440 is 44112200241344.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 443142002211397 and 443142002211406.

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, 480295502 + ... + 481217261.

Almost surely, 2443142002211440 is an apocalyptic number.

443142002211440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

443142002211440 is an abundant number, since it is smaller than the sum of its proper divisors (735780335882128).

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

443142002211440 is a wasteful number, since it uses less digits than its factorization.

443142002211440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 961513606 (or 961513600 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 32.

Adding to 443142002211440 its reverse (44112200241344), we get a palindrome (487254202452784).

The spelling of 443142002211440 in words is "four hundred forty-three trillion, one hundred forty-two billion, two million, two hundred eleven thousand, four hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 70 80 112 140 280 560 823 1646 3292 4115 5761 6584 8230 11522 13168 16460 23044 28805 32920 46088 57610 65840 92176 115220 230440 460880 961512763 1923025526 3846051052 4807563815 6730589341 7692102104 9615127630 13461178682 15384204208 19230255260 26922357364 33652946705 38460510520 53844714728 67305893410 76921021040 107689429456 134611786820 269223573640 538447147280 791325003949 1582650007898 3165300015796 3956625019745 5539275027643 6330600031592 7913250039490 11078550055286 12661200063184 15826500078980 22157100110572 27696375138215 31653000157960 44314200221144 55392750276430 63306000315920 88628400442288 110785500552860 221571001105720 443142002211440