Search a number
-
+
42033101122044 = 223227727291544563
BaseRepresentation
bin10011000111010100110000…
…00011111010100111111100
312111211022210002101002100200
421203222120003322213330
521002132242341401134
6225221423505123500
711565535300330554
oct1143523003724774
9174738702332320
1042033101122044
111243615786786a
12486a368629590
131a5b920822886
14a545ad1c0164
154cd59dbde499
hex263a980fa9fc

42033101122044 has 72 divisors (see below), whose sum is σ = 106673057596560. Its totient is φ = 13955327730432.

The previous prime is 42033101122039. The next prime is 42033101122087. The reversal of 42033101122044 is 44022110133024.

42033101122044 is a `hidden beast` number, since 420 + 3 + 3 + 1 + 0 + 11 + 220 + 4 + 4 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 42033101121999 and 42033101122017.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 26441307 + ... + 27985869.

Almost surely, 242033101122044 is an apocalyptic number.

It is an amenable number.

42033101122044 is an abundant number, since it is smaller than the sum of its proper divisors (64639956474516).

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

42033101122044 is a wasteful number, since it uses less digits than its factorization.

42033101122044 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1547579 (or 1547574 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 42033101122044 its reverse (44022110133024), we get a palindrome (86055211255068).

The spelling of 42033101122044 in words is "forty-two trillion, thirty-three billion, one hundred one million, one hundred twenty-two thousand, forty-four".

Divisors: 1 2 3 4 6 9 12 18 36 277 554 831 1108 1662 2493 2729 3324 4986 5458 8187 9972 10916 16374 24561 32748 49122 98244 755933 1511866 1544563 2267799 3023732 3089126 4535598 4633689 6178252 6803397 9071196 9267378 13606794 13901067 18534756 27213588 27802134 55604268 427843951 855687902 1283531853 1711375804 2567063706 3850595559 4215112427 5134127412 7701191118 8430224854 12645337281 15402382236 16860449708 25290674562 37936011843 50581349124 75872023686 151744047372 1167586142279 2335172284558 3502758426837 4670344569116 7005516853674 10508275280511 14011033707348 21016550561022 42033101122044