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45300325343240 = 235114391993117673
BaseRepresentation
bin10100100110011010011011…
…10011001110000000001000
312221101200001120011022111102
422103031031303032000020
521414200031241440430
6240202403203120532
712353561202103022
oct1223151563160010
9187350046138442
1045300325343240
111348583a752040
1250b760b373148
131c37a579bc906
14b28794293012
15538573465345
hex29334dcce008

45300325343240 has 128 divisors (see below), whose sum is σ = 111501857491200. Its totient is φ = 16426935889920.

The previous prime is 45300325343129. The next prime is 45300325343291. The reversal of 45300325343240 is 4234352300354.

It is a junction number, because it is equal to n+sod(n) for n = 45300325343194 and 45300325343203.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 384909044 + ... + 385026716.

It is an arithmetic number, because the mean of its divisors is an integer number (871108261650).

Almost surely, 245300325343240 is an apocalyptic number.

45300325343240 is a gapful number since it is divisible by the number (40) 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 45300325343240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55750928745600).

45300325343240 is an abundant number, since it is smaller than the sum of its proper divisors (66201532147960).

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

45300325343240 is a wasteful number, since it uses less digits than its factorization.

45300325343240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120127 (or 120123 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 38.

Adding to 45300325343240 its reverse (4234352300354), we get a palindrome (49534677643594).

The spelling of 45300325343240 in words is "forty-five trillion, three hundred billion, three hundred twenty-five million, three hundred forty-three thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 220 439 440 878 1756 1993 2195 3512 3986 4390 4829 7972 8780 9658 9965 15944 17560 19316 19930 21923 24145 38632 39860 43846 48290 79720 87692 96580 109615 117673 175384 193160 219230 235346 438460 470692 588365 874927 876920 941384 1176730 1294403 1749854 2353460 2588806 3499708 4374635 4706920 5177612 6472015 6999416 8749270 9624197 10355224 12944030 17498540 19248394 25888060 34997080 38496788 48120985 51658447 51776120 76993576 96241970 103316894 192483940 206633788 234522289 258292235 384967880 413267576 469044578 516584470 568242917 938089156 1033168940 1136485834 1172611445 1876178312 2066337880 2272971668 2345222890 2579745179 2841214585 4545943336 4690445780 5159490358 5682429170 9380891560 10318980716 11364858340 12898725895 20637961432 22729716680 25797451790 51594903580 102955284871 103189807160 205910569742 411821139484 514776424355 823642278968 1029552848710 1132508133581 2059105697420 2265016267162 4118211394840 4530032534324 5662540667905 9060065068648 11325081335810 22650162671620 45300325343240