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3444224140240 = 2451312737369911
BaseRepresentation
bin110010000111101011110…
…000011010001111010000
3110012021010220100201222221
4302013223300122033100
5422412232334441430
611154131004310424
7503560041101422
oct62075360321720
913167126321887
103444224140240
111108761811204
1247761b842414
131bca343cc260
14bc9b6684812
155e8d38c157a
hex321ebc1a3d0

3444224140240 has 160 divisors (see below), whose sum is σ = 8715138195456. Its totient is φ = 1258299463680.

The previous prime is 3444224140229. The next prime is 3444224140241. The reversal of 3444224140240 is 420414224443.

It is a junction number, because it is equal to n+sod(n) for n = 3444224140196 and 3444224140205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3444224140241) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 49230885 + ... + 49300795.

Almost surely, 23444224140240 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3444224140240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4357569097728).

3444224140240 is an abundant number, since it is smaller than the sum of its proper divisors (5270914055216).

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

3444224140240 is a wasteful number, since it uses less digits than its factorization.

3444224140240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70437 (or 70431 counting only the distinct ones).

The product of its (nonzero) digits is 98304, while the sum is 34.

Adding to 3444224140240 its reverse (420414224443), we get a palindrome (3864638364683).

The spelling of 3444224140240 in words is "three trillion, four hundred forty-four billion, two hundred twenty-four million, one hundred forty thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 13 16 20 26 40 52 65 80 104 127 130 208 254 260 373 508 520 635 746 1016 1040 1270 1492 1651 1865 2032 2540 2984 3302 3730 4849 5080 5968 6604 7460 8255 9698 10160 13208 14920 16510 19396 24245 26416 29840 33020 38792 47371 48490 66040 69911 77584 94742 96980 132080 139822 189484 193960 236855 279644 349555 378968 387920 473710 559288 615823 699110 757936 908843 947420 1118576 1231646 1398220 1817686 1894840 2463292 2796440 3079115 3635372 3789680 4544215 4926584 5592880 6158230 7270744 8878697 9088430 9853168 12316460 14541488 17757394 18176860 24632920 26076803 35514788 36353720 44393485 49265840 52153606 71029576 72707440 88786970 104307212 115423061 130384015 142059152 177573940 208614424 230846122 260768030 338998439 355147880 417228848 461692244 521536060 577115305 677996878 710295760 923384488 1043072120 1154230610 1355993756 1694992195 1846768976 2086144240 2308461220 2711987512 3311753981 3389984390 4616922440 5423975024 6623507962 6779968780 9233844880 13247015924 13559937560 16558769905 26494031848 27119875120 33117539810 43052801753 52988063696 66235079620 86105603506 132470159240 172211207012 215264008765 264940318480 344422414024 430528017530 688844828048 861056035060 1722112070120 3444224140240