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212240034334000 = 2453176242353951
BaseRepresentation
bin110000010000011111111011…
…110110101000010100110000
31000211110221121220122201202101
4300100133323312220110300
5210304320042242142000
62031221420432230144
762463556622444131
oct6020377366502460
91024427556581671
10212240034334000
1161698547327aa2
121b97965a09b354
1391571c31b1a5a
143a5a68866bc88
151980cb4e4de6a
hexc107fbda8530

212240034334000 has 80 divisors (see below), whose sum is σ = 543384426813696. Its totient is φ = 79902130560000.

The previous prime is 212240034333923. The next prime is 212240034334033. The reversal of 212240034334000 is 433430042212.

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

It is a self number, because there is not a number n which added to its sum of digits gives 212240034334000.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3121142976 + ... + 3121210975.

Almost surely, 2212240034334000 is an apocalyptic number.

212240034334000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212240034334000 is an abundant number, since it is smaller than the sum of its proper divisors (331144392479696).

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

212240034334000 is a wasteful number, since it uses less digits than its factorization.

212240034334000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6242353991 (or 6242353975 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 28.

Adding to 212240034334000 its reverse (433430042212), we get a palindrome (212673464376212).

The spelling of 212240034334000 in words is "two hundred twelve trillion, two hundred forty billion, thirty-four million, three hundred thirty-four thousand".

Divisors: 1 2 4 5 8 10 16 17 20 25 34 40 50 68 80 85 100 125 136 170 200 250 272 340 400 425 500 680 850 1000 1360 1700 2000 2125 3400 4250 6800 8500 17000 34000 6242353951 12484707902 24969415804 31211769755 49938831608 62423539510 99877663216 106120017167 124847079020 156058848775 212240034334 249694158040 312117697550 424480068668 499388316080 530600085835 624235395100 780294243875 848960137336 1061200171670 1248470790200 1560588487750 1697920274672 2122400343340 2496941580400 2653000429175 3121176975500 4244800686680 5306000858350 6242353951000 8489601373360 10612001716700 12484707902000 13265002145875 21224003433400 26530004291750 42448006866800 53060008583500 106120017167000 212240034334000