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1344223303120 = 245232274397331
BaseRepresentation
bin10011100011111001111…
…100111101010111010000
311202111200020022000110201
4103203321330331113100
5134010432131144440
62505305550304544
7166055051360305
oct23437174752720
94674606260421
101344223303120
1147909a013395
121986297b8154
13999b5124419
14490bc9d70ac
1524e7659119a
hex138f9f3d5d0

1344223303120 has 160 divisors (see below), whose sum is σ = 3283478415360. Its totient is φ = 510809756160.

The previous prime is 1344223303099. The next prime is 1344223303121. The reversal of 1344223303120 is 213033224431.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1344223303121) 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, 183357855 + ... + 183365185.

It is an arithmetic number, because the mean of its divisors is an integer number (20521740096).

Almost surely, 21344223303120 is an apocalyptic number.

1344223303120 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 1344223303120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1641739207680).

1344223303120 is an abundant number, since it is smaller than the sum of its proper divisors (1939255112240).

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

1344223303120 is a wasteful number, since it uses less digits than its factorization.

1344223303120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8033 (or 8027 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 28.

Adding to 1344223303120 its reverse (213033224431), we get a palindrome (1557256527551).

The spelling of 1344223303120 in words is "one trillion, three hundred forty-four billion, two hundred twenty-three million, three hundred three thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 23 40 46 80 92 115 184 227 230 368 439 454 460 878 908 920 1135 1756 1816 1840 2195 2270 3512 3632 4390 4540 5221 7024 7331 8780 9080 10097 10442 14662 17560 18160 20194 20884 26105 29324 35120 36655 40388 41768 50485 52210 58648 73310 80776 83536 99653 100970 104420 117296 146620 161552 168613 199306 201940 208840 293240 337226 398612 403880 417680 498265 586480 674452 797224 807760 843065 996530 1348904 1594448 1664137 1686130 1993060 2292019 2697808 3218309 3328274 3372260 3986120 4584038 6436618 6656548 6744520 7972240 8320685 9168076 11460095 12873236 13313096 13489040 16091545 16641370 18336152 22920190 25746472 26626192 32183090 33282740 36672304 38275151 45840380 51492944 64366180 66565480 74021107 76550302 91680760 128732360 133130960 148042214 153100604 183361520 191375755 257464720 296084428 306201208 370105535 382751510 592168856 612402416 730556143 740211070 765503020 1184337712 1461112286 1480422140 1531006040 2922224572 2960844280 3062012080 3652780715 5844449144 5921688560 7305561430 11688898288 14611122860 16802791289 29222245720 33605582578 58444491440 67211165156 84013956445 134422330312 168027912890 268844660624 336055825780 672111651560 1344223303120