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40052213432424 = 2333601308530639
BaseRepresentation
bin10010001101101011000011…
…11101000100000001101000
312020210221202121201012102000
421012311201331010001220
520222203413114314144
6221103422143211000
711302451120642154
oct1106654175040150
9166727677635360
1040052213432424
1111842059361716
1245aa4792a6a60
131946ba4a8cacb
149c6774b82064
15496cb3a83769
hex246d61f44068

40052213432424 has 64 divisors (see below), whose sum is σ = 111441267168000. Its totient is φ = 13328523561600.

The previous prime is 40052213432423. The next prime is 40052213432509. The reversal of 40052213432424 is 42423431225004.

40052213432424 is a `hidden beast` number, since 4 + 0 + 0 + 5 + 2 + 213 + 432 + 4 + 2 + 4 = 666.

It is a super-2 number, since 2×400522134324242 (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (40052213432423) by changing a digit.

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, 154135504 + ... + 154395135.

It is an arithmetic number, because the mean of its divisors is an integer number (1741269799500).

Almost surely, 240052213432424 is an apocalyptic number.

It is an amenable number.

40052213432424 is an abundant number, since it is smaller than the sum of its proper divisors (71389053735576).

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

40052213432424 is a wasteful number, since it uses less digits than its factorization.

40052213432424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 308531255 (or 308531245 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 36.

Adding to 40052213432424 its reverse (42423431225004), we get a palindrome (82475644657428).

The spelling of 40052213432424 in words is "forty trillion, fifty-two billion, two hundred thirteen million, four hundred thirty-two thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 108 216 601 1202 1803 2404 3606 4808 5409 7212 10818 14424 16227 21636 32454 43272 64908 129816 308530639 617061278 925591917 1234122556 1851183834 2468245112 2776775751 3702367668 5553551502 7404735336 8330327253 11107103004 16660654506 22214206008 33321309012 66642618024 185426914039 370853828078 556280742117 741707656156 1112561484234 1483415312312 1668842226351 2225122968468 3337684452702 4450245936936 5006526679053 6675368905404 10013053358106 13350737810808 20026106716212 40052213432424