42400542363648
42,400,542,363,648 is an even composite number composed of six prime numbers multiplied together.
What does the number 42400542363648 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 936 divisors.
42400542363648 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of nine hundred thirty-six divisors.
Prime factorization of 42400542363648:
212 × 3 × 7 × 292 × 432 × 317
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 7 × 29 × 29 × 43 × 43 × 317)See below for interesting mathematical facts about the number 42400542363648 from the Numbermatics database.
Names of 42400542363648
- Cardinal: 42400542363648 can be written as Forty-two trillion, four hundred billion, five hundred forty-two million, three hundred sixty-three thousand, six hundred forty-eight.
Scientific notation
- Scientific notation: 4.2400542363648 × 1013
Factors of 42400542363648
Divisors of 42400542363648
- Number of divisors d(n): 936
-
Complete list of divisors:
1 2 3 4 6 7 8 12 14 16 21 24 28 29 32 42 43 48 56 58 64 84 86 87 96 112 116 128 129 168 172 174 192 203 224 232 256 258 301 317 336 344 348 384 406 448 464 512 516 602 609 634 672 688 696 768 812 841 896 903 928 951 1024 1032 1204 1218 1247 1268 1344 1376 1392 1536 1624 1682 1792 1806 1849 1856 1902 2048 2064 2219 2408 2436 2494 2523 2536 2688 2752 2784 3072 3248 3364 3584 3612 3698 3712 3741 3804 4096 4128 4438 4816 4872 4988 5046 5072 5376 5504 5547 5568 5887 6144 6496 6657 6728 7168 7224 7396 7424 7482 7608 8256 8729 8876 9193 9632 9744 9976 10092 10144 10752 11008 11094 11136 11774 12288 12943 12992 13314 13456 13631 14336 14448 14792 14848 14964 15216 16512 17458 17661 17752 18386 19264 19488 19952 20184 20288 21504 22016 22188 22272 23548 25886 25984 26187 26628 26912 27262 27579 28672 28896 29584 29696 29928 30432 33024 34916 35322 35504 36163 36772 38528 38829 38976 39904 40368 40576 40893 43008 44032 44376 44544 47096 51772 51968 52374 53256 53621 53824 54524 55158 57792 59168 59392 59856 60864 64351 66048 69832 70644 71008 72326 73544 77056 77658 77952 79808 80736 81152 81786 86016 88064 88752 89088 94192 95417 103544 103936 104748 106512 107242 107648 108489 109048 110316 115584 118336 118784 119712 121728 128702 132096 139664 141288 142016 144652 147088 154112 155316 155904 159616 160863 161472 162304 163572 176128 177504 178176 188384 190834 193053 207088 207872 209496 213024 214484 215296 216978 218096 220632 231168 236672 239424 243456 253141 257404 264192 266597 279328 282576 284032 286251 289304 294176 308224 310632 311808 319232 321726 322944 324608 327144 355008 356352 375347 376768 381668 386106 395299 414176 415744 418992 426048 428968 430592 433956 436192 441264 462336 473344 478848 486912 506282 514808 528384 533194 558656 565152 568064 572502 578608 586133 588352 616448 621264 623616 638464 643452 645888 649216 654288 710016 750694 753536 759423 763336 772212 790598 799791 828352 831488 837984 852096 857936 861184 867912 872384 882528 924672 946688 957696 973824 1012564 1029616 1066388 1117312 1126041 1130304 1136128 1145004 1157216 1172266 1176704 1185897 1232896 1242528 1247232 1276928 1286904 1291776 1298432 1308576 1420032 1501388 1507072 1518846 1526672 1544424 1555009 1581196 1599582 1656704 1675968 1704192 1715872 1722368 1735824 1744768 1758399 1765056 1849344 1866179 1893376 1915392 1947648 2025128 2059232 2132776 2234624 2252082 2260608 2272256 2290008 2314432 2344532 2353408 2371794 2485056 2494464 2553856 2573808 2583552 2617152 2767093 2840064 3002776 3014144 3037692 3053344 3088848 3110018 3162392 3199164 3313408 3351936 3408384 3431744 3444736 3471648 3489536 3516798 3530112 3698688 3732358 3786752 3830784 3895296 4050256 4102931 4118464 4265552 4469248 4504164 4521216 4544512 4580016 4628864 4665027 4689064 4706816 4743588 4970112 5107712 5147616 5167104 5234304 5534186 5598537 5680128 6005552 6028288 6075384 6106688 6177696 6220036 6324784 6398328 6626816 6703872 6816768 6863488 6943296 6979072 7033596 7060224 7464716 7573504 7661568 8100512 8205862 8236928 8301279 8531104 8938496 9008328 9042432 9089024 9160032 9257728 9330054 9378128 9413632 9487176 9940224 10295232 10334208 10468608 10885063 11068372 11197074 11360256 11463671 12011104 12056576 12150768 12213376 12308793 12355392 12440072 12649568 12796656 13253632 13407744 13633536 13726976 13886592 13958144 14067192 14120448 14929432 15323136 16201024 16411724 16473856 16602558 16997857 17062208 17876992 18016656 18084864 18320064 18515456 18660108 18756256 18827264 18974352 19880448 20590464 20937216 21770126 22136744 22394148 22720512 22927342 24022208 24113152 24301536 24426752 24617586 24710784 24880144 25299136 25593312 26507264 26815488 27267072 27453952 27773184 27916288 28134384 28240896 29858864 32402048 32655189 32823448 32947712 33205116 33995714 34124416 34391013 35753984 36033312 36169728 36640128 37030912 37320216 37512512 37654528 37948704 39760896 41180928 41874432 43540252 44273488 44788296 45854684 48044416 48603072 48853504 49235172 49421568 49760288 50598272 50993571 51186624 53014528 53630976 54907904 55546368 55832576 56268768 56481792 59717728 64804096 65310378 65646896 65895424 66410232 67991428 68248832 68782026 72066624 72339456 73280256 74061824 74640432 75025024 75897408 79521792 80245697 82361856 83748864 87080504 88546976 89576592 91709368 96088832 97206144 97707008 98470344 98843136 99520576 101196544 101987142 102373248 107261952 109815808 111092736 112537536 112963584 118984999 119435456 129608192 130620756 131293792 131790848 132820464 135982856 136497664 137564052 144133248 146560512 148123648 149280864 150050048 151794816 159043584 160491394 164723712 167497728 174161008 177093952 179153184 183418736 192177664 194412288 195414016 196940688 197686272 199041152 202393088 203974284 204746496 219631616 222185472 225075072 237969998 238870912 240737091 259216384 261241512 262587584 263581696 265640928 271965712 272995328 275128104 288266496 293121024 298561728 300100096 303589632 320982788 329447424 348322016 354187904 356954997 358306368 366837472 384355328 388824576 390828032 393881376 395372544 398082304 404786176 407948568 409492992 444370944 450150144 475939996 477741824 481474182 492937853 518432768 522483024 525175168 531281856 543931424 545990656 550256208 576532992 586242048 597123456 600200192 607179264 641965576 658894848 696644032 708375808 713909994 716612736 733674944 768710656 777649152 787762752 790745088 796164608 809572352 815897136 818985984 900300288 951879992 955483648 962948364 985875706 1036865536 1044966048 1050350336 1062563712 1087862848 1091981312 1100512416 1153065984 1172484096 1194246912 1200400384 1214358528 1283931152 1393288064 1416751616 1427819988 1433225472 1467349888 1478813559 1537421312 1555298304 1575525504 1592329216 1619144704 1631794272 1637971968 1800600576 1903759984 1910967296 1925896728 1971751412 2089932096 2100700672 2125127424 2175725696 2201024832 2306131968 2388493824 2400800768 2428717056 2567862304 2786576128 2833503232 2855639976 2866450944 2934699776 2957627118 3110596608 3151051008 3184658432 3263588544 3275943936 3450564971 3601201152 3807519968 3821934592 3851793456 3943502824 4179864192 4201401344 4250254848 4351451392 4402049664 4612263936 4776987648 4857434112 5135724608 5573152256 5667006464 5711279952 5732901888 5869399552 5915254236 6302102016 6369316864 6527177088 6901129942 7202402304 7615039936 7643869184 7703586912 7887005648 8359728384 8402802688 8500509696 8702902784 8804099328 9553975296 10271449216 10351694913 11146304512 11334012928 11422559904 11465803776 11738799104 11830508472 12604204032 13054354176 13802259884 15230079872 15407173824 15774011296 16719456768 16805605376 17001019392 17405805568 17608198656 19107950592 20542898432 20703389826 22292609024 22845119808 22931607552 23477598208 23661016944 25208408064 26108708352 27604519768 30460159744 30814347648 31548022592 33438913536 34002038784 34811611136 35216397312 41085796864 41406779652 44585218048 45690239616 46955196416 47322033888 50416816128 52217416704 55209039536 60920319488 61628695296 63096045184 66877827072 69623222272 70432794624 82171593728 82813559304 91380479232 94644067776 104434833408 110418079072 121840638976 123257390592 126192090368 133755654144 140865589248 164343187456 165627118608 182760958464 189288135552 208869666816 220836158144 243681277952 246514781184 252384180736 328686374912 331254237216 365521916928 378576271104 441672316288 487362555904 493029562368 504768361472 662508474432 731043833856 757152542208 883344632576 986059124736 1009536722944 1325016948864 1462087667712 1514305084416 1766689265152 2019073445888 2650033897728 3028610168832 3533378530304 5300067795456 6057220337664 7066757060608 10600135590912 14133514121216 21200271181824 42400542363648
- Sum of all divisors σ(n): 137430394515648
- Sum of proper divisors (its aliquot sum) s(n): 95029852152000
- 42400542363648 is an abundant number, because the sum of its proper divisors (95029852152000) is greater than itself. Its abundance is 52629309788352
Bases of 42400542363648
- Binary: 10011010010000001001010100010000010000000000002
- Hexadecimal: 0x269025441000
- Base-36: F12JG696O
Squares and roots of 42400542363648
- 42400542363648 squared (424005423636482) is 1797805992731508726671867904
- 42400542363648 cubed (424005423636483) is 76227949156432584133444740718775387553792
-
The
square root of 42400542363648 is 6511569.8847242665 -
The
cube root of 42400542363648 is 34870.4167067895
Scales and comparisons
How big is 42400542363648?- 42,400,542,363,648 seconds is equal to 1,348,206 years, 4 weeks, 6 days, 2 hours, 20 minutes, 48 seconds.
-
To count from 1 to 42,400,542,363,648 would take you about three million, three hundred seventy thousand, five hundred fifteen 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 42400542363648 cubic inches would be around 2905.9 feet tall.
Recreational maths with 42400542363648
- 42400542363648 backwards is 84636324500424
- The number of decimal digits it has is: 14
- The sum of 42400542363648's digits is 51
- More coming soon!
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The information we have on file for 42400542363648 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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