85349430144
85,349,430,144 is an even composite number composed of six prime numbers multiplied together.
85349430144 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of three hundred eighty-four divisors.
Prime factorization of 85349430144:
27 × 32 × 11 × 31 × 167 × 1301
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 11 × 31 × 167 × 1301)See below for interesting mathematical facts about the number 85349430144 from the Numbermatics database.
Names of 85349430144
- Cardinal: 85349430144 can be written as Eighty-five billion, three hundred forty-nine million, four hundred thirty thousand, one hundred forty-four.
Scientific notation
- Scientific notation: 8.5349430144 × 1010
Factors of 85349430144
Divisors of 85349430144
- Number of divisors d(n): 384
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Complete list of divisors:
1 2 3 4 6 8 9 11 12 16 18 22 24 31 32 33 36 44 48 62 64 66 72 88 93 96 99 124 128 132 144 167 176 186 192 198 248 264 279 288 334 341 352 372 384 396 496 501 528 558 576 668 682 704 744 792 992 1002 1023 1056 1116 1152 1301 1336 1364 1408 1488 1503 1584 1837 1984 2004 2046 2112 2232 2602 2672 2728 2976 3006 3069 3168 3674 3903 3968 4008 4092 4224 4464 5177 5204 5344 5456 5511 5952 6012 6138 6336 7348 7806 8016 8184 8928 10354 10408 10688 10912 11022 11709 11904 12024 12276 12672 14311 14696 15531 15612 16032 16368 16533 17856 20708 20816 21376 21824 22044 23418 24048 24552 28622 29392 31062 31224 32064 32736 33066 35712 40331 41416 41632 42933 43648 44088 46593 46836 48096 49104 56947 57244 58784 62124 62448 64128 65472 66132 80662 82832 83264 85866 88176 93186 93672 96192 98208 113894 114488 117568 120993 124248 124896 128799 130944 132264 161324 165664 166528 170841 171732 176352 186372 187344 192384 196416 217267 227788 228976 235136 241986 248496 249792 257598 264528 322648 331328 341682 343464 352704 362979 372744 374688 392832 434534 443641 455576 457952 483972 496992 499584 512523 515196 529056 645296 651801 662656 683364 686928 705408 725958 745488 749376 869068 887282 911152 915904 967944 993984 1025046 1030392 1058112 1290592 1303602 1330923 1366728 1373856 1451916 1490976 1498752 1738136 1774564 1822304 1831808 1935888 1955403 1987968 2050092 2060784 2116224 2389937 2581184 2607204 2661846 2733456 2747712 2903832 2981952 3476272 3549128 3644608 3871776 3910806 3992769 4100184 4121568 4779874 5162368 5214408 5323692 5466912 5495424 5807664 5963904 6735277 6952544 7098256 7169811 7289216 7743552 7821612 7985538 8200368 8243136 9559748 10428816 10647384 10933824 11615328 13470554 13905088 14196512 14339622 15487104 15643224 15971076 16400736 16486272 19119496 20205831 20857632 21294768 21509433 21867648 23230656 26941108 27810176 28393024 28679244 31286448 31942152 32801472 38238992 40411662 41715264 42589536 43018866 46461312 53882216 56786048 57358488 60617493 62572896 63884304 65602944 74088047 76477984 80823324 83430528 85179072 86037732 107764432 114716976 121234986 125145792 127768608 148176094 152955968 161646648 170358144 172075464 215528864 222264141 229433952 242469972 250291584 255537216 296352188 305911936 323293296 344150928 431057728 444528282 458867904 484939944 511074432 592704376 646586592 666792423 688301856 862115456 889056564 917735808 969879888 1185408752 1293173184 1333584846 1376603712 1778113128 1939759776 2370817504 2586346368 2667169692 2753207424 3556226256 3879519552 4741635008 5334339384 7112452512 7759039104 9483270016 10668678768 14224905024 21337357536 28449810048 42674715072 85349430144
- Sum of all divisors σ(n): 278442178560
- Sum of proper divisors (its aliquot sum) s(n): 193092748416
- 85349430144 is an abundant number, because the sum of its proper divisors (193092748416) is greater than itself. Its abundance is 107743318272
Bases of 85349430144
- Binary: 10011110111110011100011110011100000002
- Hexadecimal: 0x13DF38F380
- Base-36: 137IUHS0
Squares and roots of 85349430144
- 85349430144 squared (853494301442) is 7284525225905535860736
- 85349430144 cubed (853494301443) is 621730076900630352088774144425984
-
The
square root of 85349430144 is 292146.2478691109 -
The
cube root of 85349430144 is 4402.8464732975
Scales and comparisons
How big is 85349430144?- 85,349,430,144 seconds is equal to 2,713 years, 44 weeks, 15 hours, 2 minutes, 24 seconds.
-
To count from 1 to 85,349,430,144 would take you about five thousand, four hundred twenty-seven years!
This is a very rough estimate, based on a speaking rate of half a second every third order of magnitude. If you speak quickly, you could probably say any randomly-chosen number between one and a thousand in around half a second. Very big numbers obviously take longer to say, so we add half a second for every extra x1000. (We do not count involuntary pauses, bathroom breaks or the necessity of sleep in our calculation!)
- A cube with a volume of 85349430144 cubic inches would be around 366.9 feet tall.
Recreational maths with 85349430144
- 85349430144 backwards is 44103494358
- The number of decimal digits it has is: 11
- The sum of 85349430144's digits is 45
- More coming soon!
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