42748441788416
42,748,441,788,416 is an even composite number composed of six prime numbers multiplied together.
What does the number 42748441788416 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 1008 divisors.
42748441788416 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one thousand and eight divisors.
Prime factorization of 42748441788416:
220 × 7 × 13 × 17 × 192 × 73
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 7 × 13 × 17 × 19 × 19 × 73)See below for interesting mathematical facts about the number 42748441788416 from the Numbermatics database.
Names of 42748441788416
- Cardinal: 42748441788416 can be written as Forty-two trillion, seven hundred forty-eight billion, four hundred forty-one million, seven hundred eighty-eight thousand, four hundred sixteen.
Scientific notation
- Scientific notation: 4.2748441788416 × 1013
Factors of 42748441788416
Divisors of 42748441788416
- Number of divisors d(n): 1008
-
Complete list of divisors:
1 2 4 7 8 13 14 16 17 19 26 28 32 34 38 52 56 64 68 73 76 91 104 112 119 128 133 136 146 152 182 208 221 224 238 247 256 266 272 292 304 323 361 364 416 442 448 476 494 511 512 532 544 584 608 646 722 728 832 884 896 949 952 988 1022 1024 1064 1088 1168 1216 1241 1292 1387 1444 1456 1547 1664 1729 1768 1792 1898 1904 1976 2044 2048 2128 2176 2261 2336 2432 2482 2527 2584 2774 2888 2912 3094 3328 3458 3536 3584 3796 3808 3952 4088 4096 4199 4256 4352 4522 4672 4693 4864 4964 5054 5168 5548 5776 5824 6137 6188 6643 6656 6916 7072 7168 7592 7616 7904 8176 8192 8398 8512 8687 8704 9044 9344 9386 9709 9728 9928 10108 10336 11096 11552 11648 12274 12376 13286 13312 13832 14144 14336 15184 15232 15808 16133 16352 16384 16796 17024 17374 17408 18031 18088 18688 18772 19418 19456 19856 20216 20672 22192 23104 23296 23579 24548 24752 26353 26572 26624 27664 28288 28672 29393 30368 30464 31616 32266 32704 32768 32851 33592 34048 34748 34816 36062 36176 37376 37544 38836 38912 39712 40432 41344 42959 44384 46208 46592 47158 49096 49504 52706 53144 53248 55328 56576 57344 58786 60736 60928 63232 64532 65408 65536 65702 67184 68096 69496 69632 72124 72352 74752 75088 77672 77824 79424 79781 80864 82688 85918 88768 92416 93184 94316 98192 99008 105412 106288 106496 110656 112931 113152 114688 117572 121472 121856 126217 126464 129064 130816 131072 131404 134368 136192 138992 139264 144248 144704 149504 150176 155344 155648 158848 159562 161728 165053 165376 171836 177536 184471 184832 186368 188632 196384 198016 210824 212576 212992 221312 225862 226304 229376 235144 242944 243712 252434 252928 258128 261632 262144 262808 268736 272384 277984 278528 288496 289408 299008 300352 306527 310688 311296 317696 319124 323456 330106 330752 342589 343672 355072 368942 369664 372736 377264 392768 396032 421648 425152 425984 442624 448001 451724 452608 458752 470288 485888 487424 504868 505856 516256 523264 524288 525616 537472 544768 555968 557056 558467 576992 578816 598016 600704 613054 621376 622592 635392 638248 646912 660212 661504 685178 687344 710144 737884 739328 745472 754528 785536 792064 843296 850304 851968 885248 896002 903448 905216 917504 940576 971776 974848 1009736 1011712 1032512 1046528 1048576 1051232 1074944 1089536 1111936 1114112 1116934 1153984 1157632 1196032 1201408 1226108 1242752 1245184 1270784 1276496 1293824 1320424 1323008 1370356 1374688 1420288 1475768 1478656 1490944 1509056 1571072 1584128 1686592 1700608 1703936 1770496 1792004 1806896 1810432 1835008 1881152 1943552 1949696 2019472 2023424 2065024 2093056 2102464 2145689 2149888 2179072 2223872 2228224 2233868 2307968 2315264 2392064 2398123 2402816 2452216 2485504 2490368 2541568 2552992 2587648 2640848 2646016 2740712 2749376 2840576 2951536 2957312 2981888 3018112 3136007 3142144 3168256 3373184 3401216 3407872 3540992 3584008 3613792 3620864 3670016 3762304 3887104 3899392 4038944 4046848 4130048 4186112 4204928 4291378 4299776 4358144 4447744 4456448 4467736 4615936 4630528 4784128 4796246 4805632 4904432 4971008 4980736 5083136 5105984 5175296 5281696 5292032 5481424 5498752 5681152 5824013 5903072 5914624 5963776 6036224 6272014 6284288 6336512 6746368 6802432 6815744 7081984 7168016 7227584 7241728 7340032 7524608 7774208 7798784 8077888 8093696 8260096 8372224 8409856 8582756 8599552 8716288 8895488 8912896 8935472 9231872 9261056 9568256 9592492 9611264 9808864 9942016 9961472 10166272 10211968 10350592 10563392 10584064 10962848 10997504 11362304 11648026 11806144 11829248 11927552 12072448 12544028 12568576 12673024 13492736 13604864 13631488 14163968 14336032 14455168 14483456 15049216 15548416 15597568 16155776 16187392 16520192 16744448 16819712 17165512 17199104 17432576 17790976 17825792 17870944 18463744 18522112 19136512 19184984 19222528 19617728 19884032 19922944 20332544 20423936 20701184 21126784 21168128 21925696 21995008 22724608 23296052 23612288 23658496 23855104 24144896 25088056 25137152 25346048 26985472 27209728 28327936 28672064 28910336 28966912 30098432 31096832 31195136 32311552 32374784 33040384 33488896 33639424 34331024 34398208 34865152 35581952 35741888 36927488 37044224 38273024 38369968 38445056 39235456 39768064 40665088 40768091 40847872 41402368 42253568 42336256 43851392 43990016 45449216 46592104 47224576 47316992 47710208 48289792 50176112 50274304 50692096 53970944 54419456 56655872 57344128 57820672 57933824 60196864 62193664 62390272 64623104 64749568 66080768 66977792 67278848 68662048 68796416 69730304 71163904 71483776 73854976 74088448 76546048 76739936 76890112 78470912 79536128 81330176 81536182 81695744 82804736 84507136 84672512 87702784 87980032 90898432 93184208 94449152 94633984 95420416 96579584 100352224 100548608 101384192 107941888 108838912 113311744 114688256 115641344 115867648 120393728 124387328 124780544 129246208 129499136 132161536 133955584 134557696 137324096 137592832 139460608 142327808 142967552 147709952 148176896 153479872 153780224 156941824 159072256 162660352 163072364 163391488 165609472 169014272 169345024 175405568 175960064 181796864 186368416 188898304 189267968 193159168 200704448 201097216 202768384 215883776 217677824 226623488 229376512 231282688 231735296 240787456 248774656 258492416 258998272 264323072 267911168 269115392 274648192 275185664 284655616 285935104 295419904 296353792 306959744 307560448 313883648 318144512 325320704 326144728 326782976 331218944 338028544 338690048 350811136 351920128 363593728 372736832 377796608 378535936 386318336 401408896 402194432 405536768 431767552 435355648 453246976 458753024 462565376 481574912 497549312 516984832 528646144 535822336 538230784 549296384 550371328 569311232 571870208 590839808 592707584 613919488 615120896 627767296 636289024 650641408 652289456 653565952 662437888 676057088 701622272 703840256 727187456 745473664 755593216 772636672 802817792 804388864 811073536 863535104 870711296 906493952 917506048 925130752 963149824 995098624 1033969664 1057292288 1076461568 1098592768 1100742656 1138622464 1143740416 1181679616 1185415168 1227838976 1230241792 1255534592 1272578048 1301282816 1304578912 1307131904 1324875776 1352114176 1403244544 1407680512 1454374912 1490947328 1511186432 1545273344 1605635584 1608777728 1622147072 1727070208 1741422592 1812987904 1835012096 1850261504 1926299648 2067939328 2114584576 2152923136 2197185536 2201485312 2277244928 2287480832 2363359232 2370830336 2455677952 2460483584 2511069184 2545156096 2609157824 2614263808 2649751552 2704228352 2806489088 2815361024 2981894656 3022372864 3090546688 3211271168 3217555456 3454140416 3482845184 3670024192 3700523008 3852599296 4135878656 4229169152 4305846272 4394371072 4402970624 4554489856 4574961664 4726718464 4911355904 4920967168 5022138368 5090312192 5218315648 5228527616 5408456704 5612978176 5630722048 5963789312 6044745728 6181093376 6422542336 6435110912 6908280832 6965690368 7340048384 7401046016 7705198592 8271757312 8458338304 8611692544 8788742144 9108979712 9149923328 9453436928 9822711808 10044276736 10180624384 10436631296 10457055232 10816913408 11225956352 11261444096 11927578624 12089491456 12362186752 12845084672 13816561664 14680096768 14802092032 15410397184 16543514624 16916676608 17223385088 17577484288 18299846656 18906873856 19645423616 20088553472 20873262592 20914110464 21633826816 22451912704 22522888192 23855157248 24178982912 24724373504 25690169344 27633123328 29360193536 29604184064 30820794368 33087029248 34446770176 35154968576 36599693312 39290847232 40177106944 41746525184 41828220928 43267653632 44903825408 45045776384 47710314496 48357965824 51380338688 58720387072 59208368128 66174058496 70309937152 73199386624 78581694464 80354213888 83493050368 83656441856 86535307264 89807650816 95420628992 96715931648 102760677376 117440774144 118416736256 132348116992 140619874304 146398773248 157163388928 160708427776 166986100736 173070614528 179615301632 190841257984 193431863296 205521354752 234881548288 281239748608 292797546496 314326777856 321416855552 333972201472 359230603264 381682515968 411042709504 469763096576 562479497216 585595092992 628653555712 667944402944 763365031936 822085419008 1124958994432 1257307111424 1335888805888 1526730063872 1644170838016 2249917988864 2514614222848 2671777611776 3053460127744 3288341676032 5343555223552 6106920255488 10687110447104 21374220894208 42748441788416
- Sum of all divisors σ(n): 119200183792704
- Sum of proper divisors (its aliquot sum) s(n): 76451742004288
- 42748441788416 is an abundant number, because the sum of its proper divisors (76451742004288) is greater than itself. Its abundance is 33703300215872
Bases of 42748441788416
- Binary: 10011011100001001001011011000000000000000000002
- Hexadecimal: 0x26E125B00000
- Base-36: F5ID2IBCW
Squares and roots of 42748441788416
- 42748441788416 squared (427484417884162) is 1827429275337591340511789056
- 42748441788416 cubed (427484417884163) is 78119753999216258046541538585804376375296
-
The
square root of 42748441788416 is 6538229.2548071455 -
The
cube root of 42748441788416 is 34965.5284514759
Scales and comparisons
How big is 42748441788416?- 42,748,441,788,416 seconds is equal to 1,359,268 years, 11 weeks, 2 days, 19 hours, 26 minutes, 56 seconds.
-
To count from 1 to 42,748,441,788,416 would take you about three million, three hundred ninety-eight thousand, one hundred seventy 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 42748441788416 cubic inches would be around 2913.8 feet tall.
Recreational maths with 42748441788416
- 42748441788416 backwards is 61488714484724
- 42748441788416 is a
Harshad number . - The number of decimal digits it has is: 14
- The sum of 42748441788416's digits is 68
- More coming soon!
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The information we have on file for 42748441788416 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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