Search a number
-
+
241444104440 = 235711710911027
BaseRepresentation
bin1110000011011100110…
…0001010100011111000
3212002012122200022212112
43200313030022203320
512423434142320230
6302530133031452
723305132011560
oct3406714124370
9762178608775
10241444104440
11934399a2290
123a963185588
13199ca622cb6
14b9863a1da0
156431b13d95
hex383730a8f8

241444104440 has 128 divisors (see below), whose sum is σ = 677454451200. Its totient is φ = 75237895680.

The previous prime is 241444104403. The next prime is 241444104479. The reversal of 241444104440 is 44401444142.

It is a junction number, because it is equal to n+sod(n) for n = 241444104397 and 241444104406.

It is a congruent number.

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, 21890207 + ... + 21901233.

It is an arithmetic number, because the mean of its divisors is an integer number (5292612900).

Almost surely, 2241444104440 is an apocalyptic number.

241444104440 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 241444104440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (338727225600).

241444104440 is an abundant number, since it is smaller than the sum of its proper divisors (436010346760).

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

241444104440 is a wasteful number, since it uses less digits than its factorization.

241444104440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18165 (or 18161 counting only the distinct ones).

The product of its (nonzero) digits is 32768, while the sum is 32.

Adding to 241444104440 its reverse (44401444142), we get a palindrome (285845548582).

The spelling of 241444104440 in words is "two hundred forty-one billion, four hundred forty-four million, one hundred four thousand, four hundred forty".

Divisors: 1 2 4 5 7 8 10 11 14 20 22 28 35 40 44 55 56 70 77 88 110 140 154 220 280 308 385 440 616 770 1540 3080 7109 11027 14218 22054 28436 35545 44108 49763 55135 56872 71090 77189 78199 88216 99526 110270 121297 142180 154378 156398 199052 220540 242594 248815 284360 308756 312796 385945 390995 398104 441080 485188 497630 547393 606485 617512 625592 771890 781990 849079 970376 995260 1094786 1212970 1543780 1563980 1698158 1990520 2189572 2425940 2736965 3087560 3127960 3396316 4245395 4379144 4851880 5473930 6792632 8490790 10947860 16981580 21895720 33963160 78390943 156781886 313563772 391954715 548736601 627127544 783909430 862300373 1097473202 1567818860 1724600746 2194946404 2743683005 3135637720 3449201492 4311501865 4389892808 5487366010 6036102611 6898402984 8623003730 10974732020 12072205222 17246007460 21949464040 24144410444 30180513055 34492014920 48288820888 60361026110 120722052220 241444104440