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42242004400 = 2452105605011
BaseRepresentation
bin100111010101110100…
…011101010110110000
311001000220210011100111
4213111310131112300
51143002423120100
631223344431104
73023540053531
oct472564352660
9131026704314
1042242004400
1116a07568142
12822a918494
133ca26ccb9b
14208a260688
15117374e6ba
hex9d5d1d5b0

42242004400 has 30 divisors (see below), whose sum is σ = 101486416532. Its totient is φ = 16896801600.

The previous prime is 42242004361. The next prime is 42242004433. The reversal of 42242004400 is 440024224.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 52802106 + ... + 52802905.

Almost surely, 242242004400 is an apocalyptic number.

42242004400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42242004400 is an abundant number, since it is smaller than the sum of its proper divisors (59244412132).

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

42242004400 is a wasteful number, since it uses less digits than its factorization.

42242004400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105605029 (or 105605018 counting only the distinct ones).

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

Adding to 42242004400 its reverse (440024224), we get a palindrome (42682028624).

The spelling of 42242004400 in words is "forty-two billion, two hundred forty-two million, four thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 200 400 105605011 211210022 422420044 528025055 844840088 1056050110 1689680176 2112100220 2640125275 4224200440 5280250550 8448400880 10560501100 21121002200 42242004400