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244241333072 = 241115122974001
BaseRepresentation
bin1110001101110111101…
…0101111101101010000
3212100102121011021011222
43203131322233231100
513000201240124242
6304111455224212
723434346035232
oct3433572575520
9770377137158
10244241333072
1194644957590
123b403b18068
131a054cbc979
14bb6daa4252
1565474a25d2
hex38ddeafb50

244241333072 has 80 divisors (see below), whose sum is σ = 520012324224. Its totient is φ = 110208000000.

The previous prime is 244241333071. The next prime is 244241333113. The reversal of 244241333072 is 270333142442.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (244241333071) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 61043072 + ... + 61047072.

Almost surely, 2244241333072 is an apocalyptic number.

244241333072 is a gapful number since it is divisible by the number (22) 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 244241333072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (260006162112).

244241333072 is an abundant number, since it is smaller than the sum of its proper divisors (275770991152).

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

244241333072 is a wasteful number, since it uses less digits than its factorization.

244241333072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6468 (or 6462 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 35.

The spelling of 244241333072 in words is "two hundred forty-four billion, two hundred forty-one million, three hundred thirty-three thousand, seventy-two".

Divisors: 1 2 4 8 11 16 22 44 88 151 176 302 604 1208 1661 2297 2416 3322 4001 4594 6644 8002 9188 13288 16004 18376 25267 26576 32008 36752 44011 50534 64016 88022 101068 176044 202136 346847 352088 404272 604151 693694 704176 1208302 1387388 2416604 2774776 3815317 4833208 5549552 6645661 7630634 9190297 9666416 13291322 15261268 18380594 26582644 30522536 36761188 53165288 61045072 73522376 101093267 106330576 147044752 202186534 404373068 808746136 1387734847 1617492272 2775469694 5550939388 11101878776 15265083317 22203757552 30530166634 61060333268 122120666536 244241333072