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42240044400 = 2435235200037
BaseRepresentation
bin100111010101101100…
…111110110101110000
311001000210002120201220
4213111230332311300
51143001422410100
631223234425040
73023514311331
oct472554766560
9131023076656
1042240044400
1116a06449604
12822a132180
133ca2194a18
142089cb0288
1511734b3aa0
hex9d5b3ed70

42240044400 has 60 divisors (see below), whose sum is σ = 135308946072. Its totient is φ = 11264011520.

The previous prime is 42240044339. The next prime is 42240044401. The reversal of 42240044400 is 444004224.

It is a tau number, because it is divible by the number of its divisors (60).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42240044401) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 17598819 + ... + 17601218.

Almost surely, 242240044400 is an apocalyptic number.

42240044400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42240044400 is an abundant number, since it is smaller than the sum of its proper divisors (93068901672).

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

42240044400 is a wasteful number, since it uses less digits than its factorization.

42240044400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35200058 (or 35200047 counting only the distinct ones).

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

Adding to 42240044400 its reverse (444004224), we get a palindrome (42684048624).

The spelling of 42240044400 in words is "forty-two billion, two hundred forty million, forty-four thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 150 200 240 300 400 600 1200 35200037 70400074 105600111 140800148 176000185 211200222 281600296 352000370 422400444 528000555 563200592 704000740 844800888 880000925 1056001110 1408001480 1689601776 1760001850 2112002220 2640002775 2816002960 3520003700 4224004440 5280005550 7040007400 8448008880 10560011100 14080014800 21120022200 42240044400