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242830269000 = 233253112452831
BaseRepresentation
bin1110001000100111001…
…1111101101001001000
3212012210020222210011200
43202021303331221020
512434304022102000
6303315451224200
723354363141634
oct3421163755110
9765706883150
10242830269000
1193a903a1230
123b08b448060
1319b8b869207
14ba78511dc4
1564b3674500
hex3889cfda48

242830269000 has 192 divisors, whose sum is σ = 895381793280. Its totient is φ = 58867920000.

The previous prime is 242830268971. The next prime is 242830269023. The reversal of 242830269000 is 962038242.

242830269000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2428302690002 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 47 ways as a sum of consecutive naturals, for example, 1127416 + ... + 1325415.

It is an arithmetic number, because the mean of its divisors is an integer number (4663446840).

Almost surely, 2242830269000 is an apocalyptic number.

242830269000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

242830269000 is an abundant number, since it is smaller than the sum of its proper divisors (652551524280).

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

242830269000 is a wasteful number, since it uses less digits than its factorization.

242830269000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2452869 (or 2452852 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The spelling of 242830269000 in words is "two hundred forty-two billion, eight hundred thirty million, two hundred sixty-nine thousand".