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244313114100 = 2235211439168643
BaseRepresentation
bin1110001110001000110…
…0100100010111110100
3212100121121020010020120
43203202030210113310
513000323124122400
6304122541531540
723436210130326
oct3434214442764
9770547203216
10244313114100
1194681424750
123b423b73bb0
131a066b33053
14bb7942b616
15654d930ca0
hex38e23245f4

244313114100 has 144 divisors (see below), whose sum is σ = 772902197760. Its totient is φ = 59092156800.

The previous prime is 244313114077. The next prime is 244313114131. The reversal of 244313114100 is 1411313442.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1364379 + ... + 1533021.

Almost surely, 2244313114100 is an apocalyptic number.

244313114100 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 244313114100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (386451098880).

244313114100 is an abundant number, since it is smaller than the sum of its proper divisors (528589083660).

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

244313114100 is a wasteful number, since it uses less digits than its factorization.

244313114100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 169110 (or 169103 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 244313114100 its reverse (1411313442), we get a palindrome (245724427542).

The spelling of 244313114100 in words is "two hundred forty-four billion, three hundred thirteen million, one hundred fourteen thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 25 30 33 44 50 55 60 66 75 100 110 132 150 165 220 275 300 330 439 550 660 825 878 1100 1317 1650 1756 2195 2634 3300 4390 4829 5268 6585 8780 9658 10975 13170 14487 19316 21950 24145 26340 28974 32925 43900 48290 57948 65850 72435 96580 120725 131700 144870 168643 241450 289740 337286 362175 482900 505929 674572 724350 843215 1011858 1448700 1686430 1855073 2023716 2529645 3372860 3710146 4216075 5059290 5565219 7420292 8432150 9275365 10118580 11130438 12648225 16864300 18550730 22260876 25296450 27826095 37101460 46376825 50592900 55652190 74034277 92753650 111304380 139130475 148068554 185507300 222102831 278260950 296137108 370171385 444205662 556521900 740342770 814377047 888411324 1110514155 1480685540 1628754094 1850856925 2221028310 2443131141 3257508188 3701713850 4071885235 4442056620 4886262282 5552570775 7403427700 8143770470 9772524564 11105141550 12215655705 16287540940 20359426175 22210283100 24431311410 40718852350 48862622820 61078278525 81437704700 122156557050 244313114100