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42223550240 = 255293900673
BaseRepresentation
bin100111010100101110…
…000011111100100000
311000222122001121000002
4213110232003330200
51142433212101430
631221445115132
73023224153364
oct472456037440
9130878047002
1042223550240
11169a8103273
1282246b8aa8
133c9b93b271
142087a192a4
151171d06845
hex9d4b83f20

42223550240 has 48 divisors (see below), whose sum is σ = 100093702968. Its totient is φ = 16831758336.

The previous prime is 42223550219. The next prime is 42223550251. The reversal of 42223550240 is 4205532224.

It can be written as a sum of positive squares in 4 ways, for example, as 41731952656 + 491597584 = 204284^2 + 22172^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 403457 + ... + 497216.

Almost surely, 242223550240 is an apocalyptic number.

42223550240 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42223550240 is an abundant number, since it is smaller than the sum of its proper divisors (57870152728).

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

42223550240 is a wasteful number, since it uses less digits than its factorization.

42223550240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 900981 (or 900973 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 29.

The spelling of 42223550240 in words is "forty-two billion, two hundred twenty-three million, five hundred fifty thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 293 586 1172 1465 2344 2930 4688 5860 9376 11720 23440 46880 900673 1801346 3602692 4503365 7205384 9006730 14410768 18013460 28821536 36026920 72053840 144107680 263897189 527794378 1055588756 1319485945 2111177512 2638971890 4222355024 5277943780 8444710048 10555887560 21111775120 42223550240