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142024300320024 = 23342111038736033
BaseRepresentation
bin100000010010101110011011…
…111110000101010100011000
3200121212101112200102112220000
4200102232123332011110120
5122103411231340220044
61222021021324133000
741625626363066163
oct4022563376052430
9617771480375800
10142024300320024
1141287192a68141
1213b19316997160
136132aac551755
142710027230ada
1511645a0a2dd69
hex812b9bf85518

142024300320024 has 80 divisors (see below), whose sum is σ = 399684851162520. Its totient is φ = 47117066411520.

The previous prime is 142024300319981. The next prime is 142024300320029. The reversal of 142024300320024 is 420023003420241.

142024300320024 is a `hidden beast` number, since 1 + 4 + 2 + 0 + 2 + 430 + 0 + 3 + 200 + 24 = 666.

142024300320024 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 142024300320024.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (142024300320029) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 519231289 + ... + 519504744.

Almost surely, 2142024300320024 is an apocalyptic number.

It is an amenable number.

142024300320024 is an abundant number, since it is smaller than the sum of its proper divisors (257660550842496).

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

142024300320024 is a wasteful number, since it uses less digits than its factorization.

142024300320024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1038736262 (or 1038736249 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 27.

Adding to 142024300320024 its reverse (420023003420241), we get a palindrome (562047303740265).

The spelling of 142024300320024 in words is "one hundred forty-two trillion, twenty-four billion, three hundred million, three hundred twenty thousand, twenty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 162 211 216 324 422 633 648 844 1266 1688 1899 2532 3798 5064 5697 7596 11394 15192 17091 22788 34182 45576 68364 136728 1038736033 2077472066 3116208099 4154944132 6232416198 8309888264 9348624297 12464832396 18697248594 24929664792 28045872891 37394497188 56091745782 74788994376 84137618673 112183491564 168275237346 219173302963 224366983128 336550474692 438346605926 657519908889 673100949384 876693211852 1315039817778 1753386423704 1972559726667 2630079635556 3945119453334 5260159271112 5917679180001 7890238906668 11835358360002 15780477813336 17753037540003 23670716720004 35506075080006 47341433440008 71012150160012 142024300320024