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42218048000 = 2953659657
BaseRepresentation
bin100111010100011001…
…000100101000000000
311000222020201001100102
4213110121010220000
51142430310014000
631221131141532
73023126326022
oct472431045000
9130866631312
1042218048000
11169a4a95367
1282228a48a8
133c9a7629bb
142086dc6012
1511715bb3d5
hex9d4644a00

42218048000 has 80 divisors (see below), whose sum is σ = 105273500904. Its totient is φ = 16887193600.

The previous prime is 42218047999. The next prime is 42218048021. The reversal of 42218048000 is 84081224.

It can be written as a sum of positive squares in 4 ways, for example, as 26358171904 + 15859876096 = 162352^2 + 125936^2 .

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

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, 265829 + ... + 393828.

Almost surely, 242218048000 is an apocalyptic number.

42218048000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42218048000 is an abundant number, since it is smaller than the sum of its proper divisors (63055452904).

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

42218048000 is an frugal number, since it uses more digits than its factorization.

42218048000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 659690 (or 659664 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 29.

The spelling of 42218048000 in words is "forty-two billion, two hundred eighteen million, forty-eight thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 128 160 200 250 256 320 400 500 512 640 800 1000 1280 1600 2000 2560 3200 4000 6400 8000 12800 16000 32000 64000 659657 1319314 2638628 3298285 5277256 6596570 10554512 13193140 16491425 21109024 26386280 32982850 42218048 52772560 65965700 82457125 84436096 105545120 131931400 164914250 168872192 211090240 263862800 329828500 337744384 422180480 527725600 659657000 844360960 1055451200 1319314000 1688721920 2110902400 2638628000 4221804800 5277256000 8443609600 10554512000 21109024000 42218048000