Search a number
-
+
42288417918 = 23223372760701
BaseRepresentation
bin100111011000100101…
…100000110001111110
311001011011010012201200
4213120211200301332
51143101313333133
631232123320330
73024642423105
oct473045406176
9131134105650
1042288417918
1116a3078931a
1282423800a6
133cac2009c6
1420924a303c
15117786b913
hex9d8960c7e

42288417918 has 48 divisors (see below), whose sum is σ = 98192648736. Its totient is φ = 13118846400.

The previous prime is 42288417917. The next prime is 42288417937. The reversal of 42288417918 is 81971488224.

42288417918 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 (42288417917) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1365033 + ... + 1395668.

It is an arithmetic number, because the mean of its divisors is an integer number (2045680182).

Almost surely, 242288417918 is an apocalyptic number.

42288417918 is an abundant number, since it is smaller than the sum of its proper divisors (55904230818).

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

42288417918 is a wasteful number, since it uses less digits than its factorization.

42288417918 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2760769 (or 2760766 counting only the distinct ones).

The product of its digits is 2064384, while the sum is 54.

The spelling of 42288417918 in words is "forty-two billion, two hundred eighty-eight million, four hundred seventeen thousand, nine hundred eighteen".

Divisors: 1 2 3 6 9 18 23 37 46 69 74 111 138 207 222 333 414 666 851 1702 2553 5106 7659 15318 2760701 5521402 8282103 16564206 24846309 49692618 63496123 102145937 126992246 190488369 204291874 306437811 380976738 571465107 612875622 919313433 1142930214 1838626866 2349356551 4698713102 7048069653 14096139306 21144208959 42288417918