Search a number
-
+
42224204040 = 2335477486561
BaseRepresentation
bin100111010100110000…
…100011100100001000
311000222200021210211220
4213110300203210020
51142433344012130
631221511122040
73023232545454
oct472460434410
9130880253756
1042224204040
11169a850a4a7
128224973320
133c9bb09a25
142087b49664
151171dd5410
hex9d4c23908

42224204040 has 64 divisors (see below), whose sum is σ = 129367791360. Its totient is φ = 11020216320.

The previous prime is 42224204027. The next prime is 42224204047. The reversal of 42224204040 is 4040242224.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 42224204040.

It is not an unprimeable number, because it can be changed into a prime (42224204047) 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, 3737641 + ... + 3748920.

It is an arithmetic number, because the mean of its divisors is an integer number (2021371740).

Almost surely, 242224204040 is an apocalyptic number.

42224204040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42224204040 is an abundant number, since it is smaller than the sum of its proper divisors (87143587320).

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

42224204040 is a wasteful number, since it uses less digits than its factorization.

42224204040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7486622 (or 7486618 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 24.

Adding to 42224204040 its reverse (4040242224), we get a palindrome (46264446264).

The spelling of 42224204040 in words is "forty-two billion, two hundred twenty-four million, two hundred four thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 47 60 94 120 141 188 235 282 376 470 564 705 940 1128 1410 1880 2820 5640 7486561 14973122 22459683 29946244 37432805 44919366 59892488 74865610 89838732 112298415 149731220 179677464 224596830 299462440 351868367 449193660 703736734 898387320 1055605101 1407473468 1759341835 2111210202 2814946936 3518683670 4222420404 5278025505 7037367340 8444840808 10556051010 14074734680 21112102020 42224204040