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20144443242 = 23711219919919
BaseRepresentation
bin10010110000101100…
…111100111101101010
31220222220022202010110
4102300230330331222
5312223434140432
613130525155150
71312124641140
oct226054747552
956886282113
1020144443242
1185a8016400
123aa23bbab6
131b905ac501
14d91565590
157cd79ddcc
hex4b0b3cf6a

20144443242 has 96 divisors (see below), whose sum is σ = 50867712000. Its totient is φ = 5205768480.

The previous prime is 20144443223. The next prime is 20144443271. The reversal of 20144443242 is 24234444102.

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 47 ways as a sum of consecutive naturals, for example, 1001359 + ... + 1021277.

It is an arithmetic number, because the mean of its divisors is an integer number (529872000).

Almost surely, 220144443242 is an apocalyptic number.

20144443242 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 20144443242, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25433856000).

20144443242 is an abundant number, since it is smaller than the sum of its proper divisors (30723268758).

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

20144443242 is a wasteful number, since it uses less digits than its factorization.

20144443242 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20152 (or 20141 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 30.

Adding to 20144443242 its reverse (24234444102), we get a palindrome (44378887344).

The spelling of 20144443242 in words is "twenty billion, one hundred forty-four million, four hundred forty-three thousand, two hundred forty-two".

Divisors: 1 2 3 6 7 11 14 21 22 33 42 66 77 121 154 199 231 242 363 398 462 597 726 847 1194 1393 1694 2189 2541 2786 4179 4378 5082 6567 8358 13134 15323 19919 24079 30646 39838 45969 48158 59757 72237 91938 119514 139433 144474 168553 219109 278866 337106 418299 438218 505659 657327 836598 1011318 1314654 1533763 2410199 3067526 3963881 4601289 4820398 7230597 7927762 9202578 11891643 14461194 16871393 23783286 27747167 33742786 43602691 50614179 55494334 83241501 87205382 101228358 130808073 166483002 261616146 305218837 479629601 610437674 915656511 959259202 1438888803 1831313022 2877777606 3357407207 6714814414 10072221621 20144443242