Search a number
-
+
1244350378350 = 23552131781799
BaseRepresentation
bin10010000110111001000…
…011111111000101101110
311101221212220202202200000
4102012321003333011232
5130341412144101400
62351351403045130
7155621106461442
oct22067103770556
94357786682600
101244350378350
1143a7a9391842
121811b65107a6
1390459a48131
14443267b4822
152257d5a8600
hex121b90ff16e

1244350378350 has 144 divisors (see below), whose sum is σ = 3493445155200. Its totient is φ = 329293317600.

The previous prime is 1244350378321. The next prime is 1244350378351. The reversal of 1244350378350 is 538730534421.

1244350378350 is a `hidden beast` number, since 1 + 2 + 4 + 43 + 503 + 78 + 35 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a junction number, because it is equal to n+sod(n) for n = 1244350378296 and 1244350378305.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1244350378351) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1200751 + ... + 1982549.

It is an arithmetic number, because the mean of its divisors is an integer number (24260035800).

Almost surely, 21244350378350 is an apocalyptic number.

1244350378350 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1244350378350, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1746722577600).

1244350378350 is an abundant number, since it is smaller than the sum of its proper divisors (2249094776850).

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

1244350378350 is a wasteful number, since it uses less digits than its factorization.

1244350378350 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 781957 (or 781940 counting only the distinct ones).

The product of its (nonzero) digits is 1209600, while the sum is 45.

The spelling of 1244350378350 in words is "one trillion, two hundred forty-four billion, three hundred fifty million, three hundred seventy-eight thousand, three hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 27 30 45 50 54 75 81 90 131 135 150 162 225 243 262 270 393 405 450 486 655 675 786 810 1179 1215 1310 1350 1965 2025 2358 2430 3275 3537 3930 4050 5895 6075 6550 7074 9825 10611 11790 12150 17685 19650 21222 29475 31833 35370 53055 58950 63666 88425 106110 159165 176850 265275 318330 530550 781799 795825 1563598 1591650 2345397 3908995 4690794 7036191 7817990 11726985 14072382 19544975 21108573 23453970 35180955 39089950 42217146 58634925 63325719 70361910 102415669 105542865 117269850 126651438 175904775 189977157 204831338 211085730 307247007 316628595 351809550 379954314 512078345 527714325 614494014 633257190 921741021 949885785 1024156690 1055428650 1536235035 1583142975 1843482042 1899771570 2560391725 2765223063 3072470070 3166285950 4608705105 4749428925 5120783450 5530446126 7681175175 8295669189 9217410210 9498857850 13826115315 15362350350 16591338378 23043525525 24887007567 27652230630 41478345945 46087051050 49774015134 69130576575 82956691890 124435037835 138261153150 207391729725 248870075670 414783459450 622175189175 1244350378350