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13344244304220 = 223251731060140423
BaseRepresentation
bin1100001000101111001011…
…1100010000100101011100
31202020200211022220002100200
43002023302330100211130
53222113003020213340
644214132230423500
72545042546041444
oct302136274204534
952220738802320
1013344244304220
114285298031675
1215b6254501b90
1375a483c87c9b
14341c172c1124
151821ab25e330
hexc22f2f1095c

13344244304220 has 144 divisors (see below), whose sum is σ = 40716362860992. Its totient is φ = 3537474739200.

The previous prime is 13344244304201. The next prime is 13344244304221. The reversal of 13344244304220 is 2240344244331.

13344244304220 is a `hidden beast` number, since 1 + 3 + 3 + 4 + 424 + 4 + 3 + 0 + 4 + 220 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13344244304221) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 330094929 + ... + 330135351.

It is an arithmetic number, because the mean of its divisors is an integer number (282752519868).

Almost surely, 213344244304220 is an apocalyptic number.

13344244304220 is a gapful number since it is divisible by the number (10) 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 13344244304220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20358181430496).

13344244304220 is an abundant number, since it is smaller than the sum of its proper divisors (27372118556772).

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

13344244304220 is a wasteful number, since it uses less digits than its factorization.

13344244304220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51212 (or 51207 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 36.

Adding to 13344244304220 its reverse (2240344244331), we get a palindrome (15584588548551).

The spelling of 13344244304220 in words is "thirteen trillion, three hundred forty-four billion, two hundred forty-four million, three hundred four thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 173 180 346 519 692 865 1038 1557 1730 2076 2595 3114 3460 5190 6228 7785 10380 10601 15570 21202 31140 31803 40423 42404 53005 63606 80846 95409 106010 121269 127212 159015 161692 190818 202115 212020 242538 318030 363807 381636 404230 477045 485076 606345 636060 727614 808460 954090 1212690 1455228 1819035 1833973 1908180 2425380 3638070 3667946 5501919 6993179 7276140 7335892 9169865 11003838 13986358 16505757 18339730 20979537 22007676 27509595 27972716 33011514 34965895 36679460 41959074 55019190 62938611 66023028 69931790 82528785 83918148 104897685 110038380 125877222 139863580 165057570 209795370 251754444 314693055 330115140 419590740 428524223 629386110 857048446 1258772220 1285572669 1714096892 2142621115 2571145338 3856718007 4285242230 5142290676 6427863345 7713436014 8570484460 12855726690 15426872028 19283590035 25711453380 38567180070 74134690579 77134360140 148269381158 222404071737 296538762316 370673452895 444808143474 667212215211 741346905790 889616286948 1112020358685 1334424430422 1482693811580 2224040717370 2668848860844 3336061076055 4448081434740 6672122152110 13344244304220