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144322111101300 = 223521152818281381
BaseRepresentation
bin100000110100001010011100…
…001010100101100101110100
3200221000001121001210121002020
4200310022130022211211310
5122404033140420220200
61230540355035513140
742253633311342666
oct4064123412454564
9627001531717066
10144322111101300
1141a92733279850
121422a712bb87b0
13626b6941b9412
14278d328190536
1511a4238dccea0
hex83429c2a5974

144322111101300 has 144 divisors (see below), whose sum is σ = 455619377285184. Its totient is φ = 34980549120000.

The previous prime is 144322111101299. The next prime is 144322111101347. The reversal of 144322111101300 is 3101111223441.

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, 13286610 + ... + 21567990.

Almost surely, 2144322111101300 is an apocalyptic number.

144322111101300 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 144322111101300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (227809688642592).

144322111101300 is an abundant number, since it is smaller than the sum of its proper divisors (311297266183884).

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

144322111101300 is a wasteful number, since it uses less digits than its factorization.

144322111101300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8286690 (or 8286683 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 24.

Adding to 144322111101300 its reverse (3101111223441), we get a palindrome (147423222324741).

It can be divided in two parts, 1443221 and 11101300, that added together give a palindrome (12544521).

The spelling of 144322111101300 in words is "one hundred forty-four trillion, three hundred twenty-two billion, one hundred eleven million, one hundred one thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 25 30 33 44 50 55 60 66 75 100 110 132 150 165 220 275 300 330 550 660 825 1100 1650 3300 5281 10562 15843 21124 26405 31686 52810 58091 63372 79215 105620 116182 132025 158430 174273 232364 264050 290455 316860 348546 396075 528100 580910 697092 792150 871365 1161820 1452275 1584300 1742730 2904550 3485460 4356825 5809100 8281381 8713650 16562762 17427300 24844143 33125524 41406905 49688286 82813810 91095191 99376572 124220715 165627620 182190382 207034525 248441430 273285573 364380764 414069050 455475955 496882860 546571146 621103575 828138100 910951910 1093142292 1242207150 1366427865 1821903820 2277379775 2484414300 2732855730 4554759550 5465711460 6832139325 9109519100 13664278650 27328557300 43733973061 87467946122 131201919183 174935892244 218669865305 262403838366 437339730610 481073703671 524807676732 656009595915 874679461220 962147407342 1093349326525 1312019191830 1443221111013 1924294814684 2186698653050 2405368518355 2624038383660 2886442222026 3280047979575 4373397306100 4810737036710 5772884444052 6560095959150 7216105555065 9621474073420 12026842591775 13120191918300 14432211110130 24053685183550 28864422220260 36080527775325 48107370367100 72161055550650 144322111101300