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234361302144 = 273191031811723
BaseRepresentation
bin1101101001000100000…
…1011010110010000000
3211101221001010200200120
43122101001122302000
512314432443132034
6255355240020240
722634456125314
oct3322101326200
9741831120616
10234361302144
1190434933072
1239507161680
131913c118318
14b4b384db44
156169de0c49
hex369105ac80

234361302144 has 256 divisors, whose sum is σ = 665690188800. Its totient is φ = 72843079680.

The previous prime is 234361302137. The next prime is 234361302157. The reversal of 234361302144 is 441203163432.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 136018467 + ... + 136020189.

It is an arithmetic number, because the mean of its divisors is an integer number (2600352300).

Almost surely, 2234361302144 is an apocalyptic number.

234361302144 is a gapful number since it is divisible by the number (24) 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 234361302144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (332845094400).

234361302144 is an abundant number, since it is smaller than the sum of its proper divisors (431328886656).

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

234361302144 is a wasteful number, since it uses less digits than its factorization.

234361302144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2043 (or 2031 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 33.

Adding to 234361302144 its reverse (441203163432), we get a palindrome (675564465576).

The spelling of 234361302144 in words is "two hundred thirty-four billion, three hundred sixty-one million, three hundred two thousand, one hundred forty-four".