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42000222240 = 2532529166821
BaseRepresentation
bin100111000111011010…
…001000100000100000
311000102001211100120200
4213013122020200200
51142004024102430
631143350305200
73014542666344
oct470732104040
9130361740520
1042000222240
11168a3037679
128181958200
133c645a6b12
1420660c3624
15115c3e0460
hex9c7688820

42000222240 has 72 divisors (see below), whose sum is σ = 143325763308. Its totient is φ = 11200058880.

The previous prime is 42000222211. The next prime is 42000222307. The reversal of 42000222240 is 4222200024.

42000222240 is a `hidden beast` number, since 4 + 200 + 0 + 222 + 240 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 38631116304 + 3369105936 = 196548^2 + 58044^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 14581971 + ... + 14584850.

Almost surely, 242000222240 is an apocalyptic number.

42000222240 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42000222240 is an abundant number, since it is smaller than the sum of its proper divisors (101325541068).

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

42000222240 is a wasteful number, since it uses less digits than its factorization.

42000222240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29166842 (or 29166831 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 18.

Adding to 42000222240 its reverse (4222200024), we get a palindrome (46222422264).

The spelling of 42000222240 in words is "forty-two billion, two hundred twenty-two thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 72 80 90 96 120 144 160 180 240 288 360 480 720 1440 29166821 58333642 87500463 116667284 145834105 175000926 233334568 262501389 291668210 350001852 437502315 466669136 525002778 583336420 700003704 875004630 933338272 1050005556 1166672840 1312506945 1400007408 1750009260 2100011112 2333345680 2625013890 2800014816 3500018520 4200022224 4666691360 5250027780 7000037040 8400044448 10500055560 14000074080 21000111120 42000222240