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242234300000 = 2555711163193
BaseRepresentation
bin1110000110011001001…
…0100001011001100000
3212011020201120102101202
43201212102201121200
512432043440100000
6303140401420332
723333535401660
oct3414622413140
9764221512352
10242234300000
1193804a46970
123ab4393a6a8
1319ac5252334
14ba1d2d81a0
15647b1a0dd5
hex38664a1660

242234300000 has 576 divisors, whose sum is σ = 751604894208. Its totient is φ = 74649600000.

The previous prime is 242234299991. The next prime is 242234300003. The reversal of 242234300000 is 3432242.

242234300000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (242234300003) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1255099904 + ... + 1255100096.

It is an arithmetic number, because the mean of its divisors is an integer number (1304869608).

Almost surely, 2242234300000 is an apocalyptic number.

242234300000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 242234300000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (375802447104).

242234300000 is an abundant number, since it is smaller than the sum of its proper divisors (509370594208).

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

242234300000 is a wasteful number, since it uses less digits than its factorization.

242234300000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 409 (or 381 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 20.

Adding to 242234300000 its reverse (3432242), we get a palindrome (242237732242).

The spelling of 242234300000 in words is "two hundred forty-two billion, two hundred thirty-four million, three hundred thousand".