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420000242000 = 2453621133811
BaseRepresentation
bin1100001110010011111…
…01110001100101010000
31111011002112112221012112
412013021331301211100
523340130030221000
6520540114444452
742225666103313
oct6071175614520
91434075487175
10420000242000
11152137207219
1269495293728
13307b509c171
141648450c97a
15add26b1235
hex61c9f71950

420000242000 has 80 divisors (see below), whose sum is σ = 1015754136384. Its totient is φ = 167968080000.

The previous prime is 420000241943. The next prime is 420000242033. The reversal of 420000242000 is 242000024.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

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, 12405095 + ... + 12438905.

Almost surely, 2420000242000 is an apocalyptic number.

420000242000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

420000242000 is an abundant number, since it is smaller than the sum of its proper divisors (595753894384).

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

420000242000 is a wasteful number, since it uses less digits than its factorization.

420000242000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40045 (or 40029 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 14.

Adding to 420000242000 its reverse (242000024), we get a palindrome (420242242024).

The spelling of 420000242000 in words is "four hundred twenty billion, two hundred forty-two thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 500 1000 2000 6211 12422 24844 31055 33811 49688 62110 67622 99376 124220 135244 155275 169055 248440 270488 310550 338110 496880 540976 621100 676220 776375 845275 1242200 1352440 1552750 1690550 2484400 2704880 3105500 3381100 4226375 6211000 6762200 8452750 12422000 13524400 16905500 33811000 67622000 210000121 420000242 840000484 1050000605 1680000968 2100001210 3360001936 4200002420 5250003025 8400004840 10500006050 16800009680 21000012100 26250015125 42000024200 52500030250 84000048400 105000060500 210000121000 420000242000