Search a number
-
+
42073991442 = 23271051317717
BaseRepresentation
bin100111001011110011…
…100010100100010010
311000121012122012220100
4213023303202210102
51142131420211232
631154543353230
73016430012040
oct471363424422
9130535565810
1042073991442
111693074255a
1281a25b2816
133c76965132
142071c07390
151163b12c7c
hex9cbce2912

42073991442 has 48 divisors (see below), whose sum is σ = 104282672832. Its totient is φ = 12009664800.

The previous prime is 42073991423. The next prime is 42073991447. The reversal of 42073991442 is 24419937024.

42073991442 is a `hidden beast` number, since 4 + 207 + 399 + 14 + 42 = 666.

It is a super-2 number, since 2×420739914422 (a number of 22 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (42073991447) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 26433 + ... + 291284.

It is an arithmetic number, because the mean of its divisors is an integer number (2172555684).

Almost surely, 242073991442 is an apocalyptic number.

42073991442 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

42073991442 is an abundant number, since it is smaller than the sum of its proper divisors (62208681390).

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

42073991442 is a wasteful number, since it uses less digits than its factorization.

42073991442 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 318783 (or 318780 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The spelling of 42073991442 in words is "forty-two billion, seventy-three million, nine hundred ninety-one thousand, four hundred forty-two".

Divisors: 1 2 3 6 7 9 14 18 21 42 63 126 1051 2102 3153 6306 7357 9459 14714 18918 22071 44142 66213 132426 317717 635434 953151 1906302 2224019 2859453 4448038 5718906 6672057 13344114 20016171 40032342 333920567 667841134 1001761701 2003523402 2337443969 3005285103 4674887938 6010570206 7012331907 14024663814 21036995721 42073991442