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42284046080 = 285257912809
BaseRepresentation
bin100111011000010100…
…110101011100000000
311001010211220002200202
4213120110311130000
51143044203433310
631231445504332
73024560314163
oct473024653400
9131124802622
1042284046080
1116a29272731
128240a120a8
133cab32cb13
142091a85ada
1511772a63a5
hex9d8535700

42284046080 has 72 divisors (see below), whose sum is σ = 101330686800. Its totient is φ = 16905740288.

The previous prime is 42284046067. The next prime is 42284046113. The reversal of 42284046080 is 8064048224.

It is a congruent number.

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, 3294716 + ... + 3307524.

It is an arithmetic number, because the mean of its divisors is an integer number (1407370650).

Almost surely, 242284046080 is an apocalyptic number.

42284046080 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42284046080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50665343400).

42284046080 is an abundant number, since it is smaller than the sum of its proper divisors (59046640720).

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

42284046080 is a wasteful number, since it uses less digits than its factorization.

42284046080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15409 (or 15395 counting only the distinct ones).

The product of its (nonzero) digits is 98304, while the sum is 38.

The spelling of 42284046080 in words is "forty-two billion, two hundred eighty-four million, forty-six thousand, eighty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 256 320 640 1280 2579 5158 10316 12809 12895 20632 25618 25790 41264 51236 51580 64045 82528 102472 103160 128090 165056 204944 206320 256180 330112 409888 412640 512360 660224 819776 825280 1024720 1639552 1650560 2049440 3279104 3301120 4098880 8197760 16395520 33034411 66068822 132137644 165172055 264275288 330344110 528550576 660688220 1057101152 1321376440 2114202304 2642752880 4228404608 5285505760 8456809216 10571011520 21142023040 42284046080