Search a number
-
+
42165631242 = 2337111549289
BaseRepresentation
bin100111010001010001…
…000111100100001010
311000211121002000002000
4213101101013210022
51142323400144432
631212015451430
73021621644340
oct472121074412
9130747060060
1042165631242
1116978443929
128209226b76
133c8c93c577
14208005d990
15116bbb557c
hex9d144790a

42165631242 has 32 divisors (see below), whose sum is σ = 107087318400. Its totient is φ = 12047323104.

The previous prime is 42165631229. The next prime is 42165631247. The reversal of 42165631242 is 24213656124.

42165631242 is a `hidden beast` number, since 4 + 2 + 16 + 5 + 631 + 2 + 4 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 42165631197 and 42165631206.

It is not an unprimeable number, because it can be changed into a prime (42165631247) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 55774267 + ... + 55775022.

It is an arithmetic number, because the mean of its divisors is an integer number (3346478700).

Almost surely, 242165631242 is an apocalyptic number.

42165631242 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

42165631242 is an abundant number, since it is smaller than the sum of its proper divisors (64921687158).

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

42165631242 is a wasteful number, since it uses less digits than its factorization.

42165631242 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111549307 (or 111549301 counting only the distinct ones).

The product of its digits is 69120, while the sum is 36.

The spelling of 42165631242 in words is "forty-two billion, one hundred sixty-five million, six hundred thirty-one thousand, two hundred forty-two".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 54 63 126 189 378 111549289 223098578 334647867 669295734 780845023 1003943601 1561690046 2007887202 2342535069 3011830803 4685070138 6023661606 7027605207 14055210414 21082815621 42165631242