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242417623422900 = 22352808058744743
BaseRepresentation
bin110111000111101001000000…
…010101001101011110110100
31011210022220020222112221012110
4313013221000111031132310
5223233232243044013100
62215325041354051020
7102030044460404202
oct6707510025153664
91153286228487173
10242417623422900
1170272811676012
12232321ab719a70
13a535b64929413
1443c110b554072
151d05c8a952250
hexdc7a4054d7b4

242417623422900 has 36 divisors (see below), whose sum is σ = 701394990437792. Its totient is φ = 64644699579360.

The previous prime is 242417623422829. The next prime is 242417623422901. The reversal of 242417623422900 is 9224326714242.

242417623422900 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 242417623422900.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (242417623422901) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 404029372072 + ... + 404029372671.

Almost surely, 2242417623422900 is an apocalyptic number.

242417623422900 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

242417623422900 is an abundant number, since it is smaller than the sum of its proper divisors (458977367014892).

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

242417623422900 is a wasteful number, since it uses less digits than its factorization.

242417623422900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 808058744760 (or 808058744753 counting only the distinct ones).

The product of its (nonzero) digits is 2322432, while the sum is 48.

The spelling of 242417623422900 in words is "two hundred forty-two trillion, four hundred seventeen billion, six hundred twenty-three million, four hundred twenty-two thousand, nine hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 300 808058744743 1616117489486 2424176234229 3232234978972 4040293723715 4848352468458 8080587447430 9696704936916 12120881171145 16161174894860 20201468618575 24241762342290 40402937237150 48483524684580 60604405855725 80805874474300 121208811711450 242417623422900