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42239784000 = 263531759991
BaseRepresentation
bin100111010101101011…
…111111010001000000
311001000202121100112110
4213111223333101000
51143001341042000
631223225055320
73023512145211
oct472553772100
9131022540473
1042239784000
1116a062909a7
12822a027540
133ca210333b
142089c43408
151173461850
hex9d5aff440

42239784000 has 112 divisors (see below), whose sum is σ = 139475846016. Its totient is φ = 11263936000.

The previous prime is 42239783947. The next prime is 42239784017. The reversal of 42239784000 is 48793224.

It is a self number, because there is not a number n which added to its sum of digits gives 42239784000.

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 15 ways as a sum of consecutive naturals, for example, 855996 + ... + 903995.

Almost surely, 242239784000 is an apocalyptic number.

42239784000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42239784000 is an abundant number, since it is smaller than the sum of its proper divisors (97236062016).

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

42239784000 is a wasteful number, since it uses less digits than its factorization.

42239784000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1760021 (or 1760001 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 39.

The spelling of 42239784000 in words is "forty-two billion, two hundred thirty-nine million, seven hundred eighty-four thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 60 64 75 80 96 100 120 125 150 160 192 200 240 250 300 320 375 400 480 500 600 750 800 960 1000 1200 1500 1600 2000 2400 3000 4000 4800 6000 8000 12000 24000 1759991 3519982 5279973 7039964 8799955 10559946 14079928 17599910 21119892 26399865 28159856 35199820 42239784 43999775 52799730 56319712 70399640 84479568 87999550 105599460 112639424 131999325 140799280 168959136 175999100 211198920 219998875 263998650 281598560 337918272 351998200 422397840 439997750 527997300 563197120 659996625 703996400 844795680 879995500 1055994600 1319993250 1407992800 1689591360 1759991000 2111989200 2639986500 2815985600 3519982000 4223978400 5279973000 7039964000 8447956800 10559946000 14079928000 21119892000 42239784000