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244029768320 = 275131011491949
BaseRepresentation
bin1110001101000101001…
…1101100001010000000
3212022212212001122220102
43203101103230022000
512444233110041240
6304034500501532
723426166543332
oct3432123541200
9768785048812
10244029768320
1194546495888
123b3650aa8a8
131a020216820
14bb4d951452
156533b11815
hex38d14ec280

244029768320 has 256 divisors, whose sum is σ = 639065700000. Its totient is φ = 88566988800.

The previous prime is 244029768319. The next prime is 244029768391. The reversal of 244029768320 is 23867920442.

It can be written as a sum of positive squares in 16 ways, for example, as 31198863424 + 212830904896 = 176632^2 + 461336^2 .

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, 125206706 + ... + 125208654.

Almost surely, 2244029768320 is an apocalyptic number.

244029768320 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 244029768320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (319532850000).

244029768320 is an abundant number, since it is smaller than the sum of its proper divisors (395035931680).

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

244029768320 is a wasteful number, since it uses less digits than its factorization.

244029768320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2231 (or 2219 counting only the distinct ones).

The product of its (nonzero) digits is 1161216, while the sum is 47.

The spelling of 244029768320 in words is "two hundred forty-four billion, twenty-nine million, seven hundred sixty-eight thousand, three hundred twenty".