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42534115224000 = 263531772254801
BaseRepresentation
bin10011010101111001111101…
…10101000010100111000000
312120121012222121210111221220
421222330332311002213000
521033334331444132000
6230243523000115040
711646663012043551
oct1152747665024700
9176535877714856
1042534115224000
1112609687200054
12492b491165a80
131a96c46aa747a
14a7093ad82328
154db62388c1a0
hex26af3ed429c0

42534115224000 has 112 divisors (see below), whose sum is σ = 140447648548896. Its totient is φ = 11342430720000.

The previous prime is 42534115223987. The next prime is 42534115224037. The reversal of 42534115224000 is 42251143524.

42534115224000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 886103401 + ... + 886151400.

Almost surely, 242534115224000 is an apocalyptic number.

42534115224000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42534115224000 is an abundant number, since it is smaller than the sum of its proper divisors (97913533324896).

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

42534115224000 is a wasteful number, since it uses less digits than its factorization.

42534115224000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1772254831 (or 1772254811 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 33.

Adding to 42534115224000 its reverse (42251143524), we get a palindrome (42576366367524).

The spelling of 42534115224000 in words is "forty-two trillion, five hundred thirty-four billion, one hundred fifteen million, two hundred twenty-four thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 60 64 75 80 96 100 120 125 150 160 192 200 240 250 300 320 375 400 480 500 600 750 800 960 1000 1200 1500 1600 2000 2400 3000 4000 4800 6000 8000 12000 24000 1772254801 3544509602 5316764403 7089019204 8861274005 10633528806 14178038408 17722548010 21267057612 26583822015 28356076816 35445096020 42534115224 44306370025 53167644030 56712153632 70890192040 85068230448 88612740050 106335288060 113424307264 132919110075 141780384080 170136460896 177225480100 212670576120 221531850125 265838220150 283560768160 340272921792 354450960200 425341152240 443063700250 531676440300 567121536320 664595550375 708901920400 850682304480 886127400500 1063352880600 1329191100750 1417803840800 1701364608960 1772254801000 2126705761200 2658382201500 2835607681600 3544509602000 4253411522400 5316764403000 7089019204000 8506823044800 10633528806000 14178038408000 21267057612000 42534115224000