42768920445634944
42,768,920,445,634,944 is an even composite number composed of seven prime numbers multiplied together.
What does the number 42768920445634944 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 1536 divisors.
42768920445634944 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of one thousand, five hundred thirty-six divisors.
Prime factorization of 42768920445634944:
27 × 33 × 112 × 17 × 331 × 1759 × 10333
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 11 × 11 × 17 × 331 × 1759 × 10333)See below for interesting mathematical facts about the number 42768920445634944 from the Numbermatics database.
Names of 42768920445634944
- Cardinal: 42768920445634944 can be written as Forty-two quadrillion, seven hundred sixty-eight trillion, nine hundred twenty billion, four hundred forty-five million, six hundred thirty-four thousand, nine hundred forty-four.
Scientific notation
- Scientific notation: 4.2768920445634944 × 1016
Factors of 42768920445634944
Divisors of 42768920445634944
- Number of divisors d(n): 1536
-
Complete list of divisors:
1 2 3 4 6 8 9 11 12 16 17 18 22 24 27 32 33 34 36 44 48 51 54 64 66 68 72 88 96 99 102 108 121 128 132 136 144 153 176 187 192 198 204 216 242 264 272 288 297 306 331 352 363 374 384 396 408 432 459 484 528 544 561 576 594 612 662 704 726 748 792 816 864 918 968 993 1056 1088 1089 1122 1152 1188 1224 1324 1408 1452 1496 1584 1632 1683 1728 1759 1836 1936 1986 2057 2112 2176 2178 2244 2376 2448 2648 2904 2979 2992 3168 3264 3267 3366 3456 3518 3641 3672 3872 3972 4114 4224 4356 4488 4752 4896 5049 5277 5296 5627 5808 5958 5984 6171 6336 6528 6534 6732 7036 7282 7344 7744 7944 8228 8712 8937 8976 9504 9792 10098 10333 10554 10592 10923 11254 11616 11916 11968 12342 12672 13068 13464 14072 14564 14688 15488 15831 15888 16456 16881 17424 17874 17952 18513 19008 19349 19584 20196 20666 21108 21184 21846 22508 23232 23832 23936 24684 26136 26928 28144 29128 29376 29903 30999 31662 31776 32769 32912 33762 34848 35748 35904 37026 38016 38698 40051 40392 41332 42216 42368 43692 45016 46464 47493 47664 49368 50643 52272 53856 55539 56288 58047 58256 58752 59806 61897 61998 63324 63552 65538 65824 67524 69696 71496 71808 74052 77396 80102 80784 82664 84432 87384 89709 90032 92997 94986 95328 98307 98736 101286 104544 107712 111078 112576 113663 116094 116512 119612 120153 123794 123996 126648 127104 131076 131648 135048 139392 142992 148104 151929 154792 160204 161568 165328 168864 174141 174768 175661 179418 180064 185691 185994 189972 190656 196614 197472 202572 209088 212839 215424 222156 225152 227326 232188 233024 239224 240306 247588 247992 253296 262152 263296 269127 270096 278991 285984 296208 303858 309584 320408 323136 328933 330656 337728 340989 348282 349536 351322 358836 360128 360459 371382 371988 379944 381312 393228 394944 405144 418176 425678 444312 454652 464376 466048 478448 480612 495176 495984 506592 522423 524304 526983 538254 540192 557073 557982 571968 582229 592416 607716 619168 638517 640816 646272 657866 661312 675456 680867 681978 696564 699072 702644 717672 720256 720918 742764 743976 759888 786456 789888 807381 810288 851356 888624 909304 928752 956896 961224 986799 990352 991968 1013184 1022967 1044846 1048608 1053966 1076508 1080384 1081377 1114146 1115964 1143936 1164458 1184832 1215432 1238336 1250293 1277034 1281632 1315732 1322624 1361734 1363956 1393128 1398144 1405288 1435344 1441836 1485528 1487952 1519776 1572912 1580949 1614762 1620576 1671219 1702712 1746687 1777248 1818608 1857504 1913792 1915551 1922448 1932271 1973598 1980704 1983936 2026368 2042601 2045934 2089692 2097216 2107932 2153016 2160768 2162754 2228292 2231928 2328916 2369664 2430864 2476672 2500586 2554068 2563264 2631464 2723468 2727912 2786256 2810576 2870688 2883672 2960397 2971056 2975904 3039552 3068901 3145824 3161898 3229524 3241152 3342438 3405424 3420223 3493374 3554496 3618263 3637216 3715008 3750879 3827584 3831102 3844896 3864542 3947196 3961408 3967872 4085202 4091868 4179384 4194432 4215864 4306032 4325508 4456584 4463856 4657832 4742847 4861728 5001172 5108136 5126528 5240061 5262928 5446936 5455824 5572512 5621152 5741376 5746653 5767344 5796813 5920794 5942112 5951808 6079104 6127803 6137802 6291648 6323796 6404519 6459048 6482304 6684876 6810848 6840446 6986748 7108992 7236526 7274432 7430016 7501758 7662204 7689792 7729084 7894392 7922816 8170404 8183736 8358768 8431728 8612064 8651016 8881191 8913168 8927712 9315664 9485694 9723456 9897893 10002344 10216272 10260669 10480122 10525856 10854789 10893872 10911648 11145024 11242304 11252637 11482752 11493306 11534688 11593626 11841588 11884224 11903616 12255606 12275604 12583296 12647592 12809038 12918096 13369752 13621696 13680892 13973496 14473052 14548864 15003516 15324408 15379584 15458168 15720183 15788784 16340808 16367472 16717536 16863456 17224128 17302032 17390439 17762382 17826336 17855424 18175747 18383409 18631328 18971388 19213557 19446912 19795786 20004688 20432544 20521338 20960244 21051712 21254981 21709578 21787744 21823296 22290048 22484608 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4752102271737216 5346115055704368 7128153407605824 10692230111408736 14256306815211648 21384460222817472 42768920445634944
- Sum of all divisors σ(n): 147449575494144000
- Sum of proper divisors (its aliquot sum) s(n): 104680655048509056
- 42768920445634944 is an abundant number, because the sum of its proper divisors (104680655048509056) is greater than itself. Its abundance is 61911734602874112
Bases of 42768920445634944
- Binary: 100101111111001000011011010001101001011011001001100000002
- Hexadecimal: 0x97F21B4696C980
- Base-36: BP4BET8J1C0
Squares and roots of 42768920445634944
- 42768920445634944 squared (427689204456349442) is 1829180556085050736871463313883136
- 42768920445634944 cubed (427689204456349443) is 78232077683903822838047109117276022013485733904384
-
The
square root of 42768920445634944 is 206806480.6664311089 -
The
cube root of 42768920445634944 is 349711.1097668023
Scales and comparisons
How big is 42768920445634944?- 42,768,920,445,634,944 seconds is equal to 1,359,919,377 years, 11 weeks, 23 hours, 2 minutes, 24 seconds.
-
To count from 1 to 42,768,920,445,634,944 would take you about four billion, seventy-nine million, seven hundred fifty-eight thousand, one hundred thirty-one 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 42768920445634944 cubic inches would be around 29142.6 feet tall.
Recreational maths with 42768920445634944
- 42768920445634944 backwards is 44943654402986724
- The number of decimal digits it has is: 17
- The sum of 42768920445634944's digits is 81
- More coming soon!
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"Number 42768920445634944 - Facts about the integer". Numbermatics.com. 2024. Web. 23 June 2024.
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Numbermatics. (2024). Number 42768920445634944 - Facts about the integer. Retrieved 23 June 2024, from https://numbermatics.com/n/42768920445634944/
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The information we have on file for 42768920445634944 includes mathematical data and numerical statistics calculated using standard algorithms and methods. We are adding more all the time. If there are any features you would like to see, please contact us. Information provided for educational use, intellectual curiosity and fun!
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