Search a number
-
+
42023812131126 = 235791081135623
BaseRepresentation
bin10011000111000011011100…
…11001001110100100110110
312111210102210201111110100000
421203201232121032210312
521002004231401144001
6225213250041532130
711565056145241440
oct1143415631164466
9174712721443300
1042023812131126
1112432220431471
1248685b57a4046
131a5aaa022a747
14a53d6b65d490
154cd20847aa86
hex26386e64e936

42023812131126 has 96 divisors (see below), whose sum is σ = 107914979547648. Its totient is φ = 12006583110720.

The previous prime is 42023812131107. The next prime is 42023812131127. The reversal of 42023812131126 is 62113121832024.

42023812131126 is a `hidden beast` number, since 4 + 20 + 2 + 381 + 2 + 131 + 126 = 666.

42023812131126 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 not an unprimeable number, because it can be changed into a prime (42023812131127) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 309789751 + ... + 309925373.

It is an arithmetic number, because the mean of its divisors is an integer number (1124114370288).

Almost surely, 242023812131126 is an apocalyptic number.

42023812131126 is an abundant number, since it is smaller than the sum of its proper divisors (65891167416522).

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

42023812131126 is a wasteful number, since it uses less digits than its factorization.

42023812131126 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 226728 (or 226716 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The spelling of 42023812131126 in words is "forty-two trillion, twenty-three billion, eight hundred twelve million, one hundred thirty-one thousand, one hundred twenty-six".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 54 63 81 126 162 189 243 378 486 567 1134 1701 3402 91081 135623 182162 271246 273243 406869 546486 637567 813738 819729 949361 1220607 1275134 1639458 1898722 1912701 2441214 2459187 2848083 3661821 3825402 4918374 5696166 5738103 7323642 7377561 8544249 10985463 11476206 14755122 17088498 17214309 21970926 22132683 25632747 32956389 34428618 44265366 51265494 51642927 65912778 76898241 103285854 153796482 154928781 230694723 309857562 461389446 12352678463 24705356926 37058035389 74116070778 86468749241 111174106167 172937498482 222348212334 259406247723 333522318501 518812495446 667044637002 778218743169 1000566955503 1556437486338 2001133911006 2334656229507 3001700866509 4669312459014 6003401733018 7003968688521 14007937377042 21011906065563 42023812131126