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42224004040 = 2351750960289
BaseRepresentation
bin100111010100101111…
…110010101111001000
311000222122220122111111
4213110233302233020
51142433321112130
631221502540104
73023231053411
oct472457625710
9130878818444
1042224004040
11169a8393209
128224897634
133c9ba6999a
142087ad6808
151171d9602a
hex9d4bf2bc8

42224004040 has 32 divisors (see below), whose sum is σ = 95011011000. Its totient is φ = 16888356864.

The previous prime is 42224003999. The next prime is 42224004073. The reversal of 42224004040 is 4040042224.

It can be written as a sum of positive squares in 4 ways, for example, as 6300866884 + 35923137156 = 79378^2 + 189534^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 670216 + ... + 730504.

Almost surely, 242224004040 is an apocalyptic number.

42224004040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42224004040 is an abundant number, since it is smaller than the sum of its proper divisors (52787006960).

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

42224004040 is a wasteful number, since it uses less digits than its factorization.

42224004040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77809 (or 77805 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 22.

Adding to 42224004040 its reverse (4040042224), we get a palindrome (46264046264).

It can be divided in two parts, 422240040 and 40, that multiplied together give a square (16889601600 = 1299602).

The spelling of 42224004040 in words is "forty-two billion, two hundred twenty-four million, four thousand, forty".

Divisors: 1 2 4 5 8 10 20 40 17509 35018 60289 70036 87545 120578 140072 175090 241156 301445 350180 482312 602890 700360 1205780 2411560 1055600101 2111200202 4222400404 5278000505 8444800808 10556001010 21112002020 42224004040