3968997967872
3,968,997,967,872 is an even composite number composed of six prime numbers multiplied together.
What does the number 3968997967872 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 1440 divisors.
3968997967872 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one thousand, four hundred forty divisors.
Prime factorization of 3968997967872:
211 × 34 × 72 × 19 × 31 × 829
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 7 × 7 × 19 × 31 × 829)See below for interesting mathematical facts about the number 3968997967872 from the Numbermatics database.
Names of 3968997967872
- Cardinal: 3968997967872 can be written as Three trillion, nine hundred sixty-eight billion, nine hundred ninety-seven million, nine hundred sixty-seven thousand, eight hundred seventy-two.
Scientific notation
- Scientific notation: 3.968997967872 × 1012
Factors of 3968997967872
Divisors of 3968997967872
- Number of divisors d(n): 1440
-
Complete list of divisors:
1 2 3 4 6 7 8 9 12 14 16 18 19 21 24 27 28 31 32 36 38 42 48 49 54 56 57 62 63 64 72 76 81 84 93 96 98 108 112 114 124 126 128 133 144 147 152 162 168 171 186 189 192 196 216 217 224 228 248 252 256 266 279 288 294 304 324 336 342 372 378 384 392 399 432 434 441 448 456 496 504 512 513 532 558 567 576 588 589 608 648 651 672 684 744 756 768 784 798 829 837 864 868 882 896 912 931 992 1008 1024 1026 1064 1116 1134 1152 1176 1178 1197 1216 1296 1302 1323 1344 1368 1488 1512 1519 1536 1539 1568 1596 1658 1674 1728 1736 1764 1767 1792 1824 1862 1953 1984 2016 2048 2052 2128 2232 2268 2304 2352 2356 2394 2432 2487 2511 2592 2604 2646 2688 2736 2793 2976 3024 3038 3072 3078 3136 3192 3316 3348 3456 3472 3528 3534 3584 3591 3648 3724 3906 3968 3969 4032 4104 4123 4256 4464 4536 4557 4608 4704 4712 4788 4864 4974 5022 5184 5208 5292 5301 5376 5472 5586 5803 5859 5952 6048 6076 6144 6156 6272 6384 6632 6696 6912 6944 7056 7068 7168 7182 7296 7448 7461 7812 7936 7938 8064 8208 8246 8379 8512 8928 9072 9114 9216 9408 9424 9576 9728 9948 10044 10368 10416 10584 10602 10752 10773 10944 11172 11606 11718 11904 12096 12152 12312 12369 12544 12768 13264 13392 13671 13824 13888 14112 14136 14336 14364 14592 14896 14922 15624 15751 15872 15876 15903 16128 16416 16492 16758 17024 17409 17577 17856 18144 18228 18432 18816 18848 19152 19456 19896 20088 20736 20832 21168 21204 21504 21546 21888 22344 22383 23212 23436 23808 24192 24304 24624 24738 25088 25137 25536 25699 26528 26784 27342 27648 27776 28224 28272 28728 28861 29184 29792 29844 31248 31502 31744 31752 31806 32256 32832 32984 33516 34048 34818 35154 35712 36288 36456 37107 37632 37696 38304 38912 39792 40176 40621 41013 41472 41664 42336 42408 43008 43092 43776 44688 44766 46424 46872 47253 47616 47709 48384 48608 49248 49476 50176 50274 51072 51398 52227 53056 53568 54684 55296 55552 56448 56544 57456 57722 58368 59584 59688 62496 63004 63488 63504 63612 64512 65664 65968 67032 67149 68096 69636 70308 71424 72576 72912 74214 75264 75392 75411 76608 77097 79584 80352 81242 82026 82944 83328 84672 84816 86184 86583 87552 89376 89532 92848 93744 94506 95232 95418 96768 97216 98496 98952 100352 100548 102144 102796 104454 106112 107136 109368 110257 111104 111321 112896 113088 114912 115444 116736 119168 119376 121863 123039 124992 126008 127008 127224 129024 131328 131936 134064 134298 136192 139272 140616 141759 142848 145152 145824 148428 150528 150784 150822 153216 154194 156681 159168 160704 162484 164052 165888 166656 169344 169632 172368 173166 175104 178752 179064 179893 185696 187488 189012 190464 190836 193536 194432 196992 197904 201096 204288 205592 208908 212224 214272 218736 220514 222208 222642 225792 226176 229824 230888 231291 238336 238752 243726 246078 249984 252016 254016 254448 259749 262656 263872 268128 268596 272384 278544 281232 283518 285696 290304 291648 296856 301056 301568 301644 306432 308388 313362 318336 321408 324968 328104 330771 333312 333963 338688 339264 344736 346332 350208 357504 358128 359786 365589 371392 374976 378024 381672 387072 388864 393984 395808 402192 408576 411184 417816 424448 425277 428544 437472 441028 444416 445284 451584 452352 459648 461776 462582 470043 476672 477504 487452 488281 492156 499968 504032 508032 508896 519498 525312 527744 536256 537192 539679 557088 562464 567036 571392 580608 583296 593712 603136 603288 612864 616776 626724 636672 642816 649936 656208 661542 666624 667926 677376 678528 689472 692664 693873 715008 716256 719572 731178 742784 749952 756048 763344 771799 777728 779247 787968 791616 804384 817152 822368 835632 848896 850554 857088 874944 882056 890568 903168 904704 919296 923552 925164 940086 953344 955008 974904 976562 984312 992313 999936 1008064 1016064 1017792 1038996 1050624 1055488 1072512 1074384 1079358 1096767 1114176 1124928 1134072 1161216 1166592 1187424 1206272 1206576 1225728 1233552 1253448 1259251 1273344 1275831 1285632 1299872 1312416 1323084 1333248 1335852 1354752 1357056 1378944 1385328 1387746 1430016 1432512 1439144 1462356 1464843 1485568 1499904 1512096 1526688 1543598 1555456 1558494 1575936 1583232 1608768 1619037 1644736 1671264 1697792 1701108 1714176 1749888 1764112 1781136 1809408 1838592 1847104 1850328 1880172 1906688 1910016 1949808 1953124 1968624 1984626 1999872 2016128 2032128 2035584 2077992 2081619 2110976 2145024 2148768 2158716 2193534 2228352 2249856 2268144 2315397 2333184 2337741 2374848 2413152 2451456 2467104 2506896 2518502 2546688 2551662 2571264 2599744 2624832 2646168 2671704 2709504 2714112 2757888 2770656 2775492 2860032 2865024 2878288 2924712 2929686 2971136 2976939 2999808 3024192 3053376 3087196 3110912 3116988 3151872 3166464 3217536 3238074 3289472 3290301 3342528 3402216 3417967 3499776 3528224 3562272 3618816 3677184 3694208 3700656 3760344 3777753 3820032 3899616 3906248 3937248 3969252 3999744 4032256 4064256 4071168 4155984 4163238 4221952 4290048 4297536 4317432 4387068 4394529 4456704 4499712 4536288 4630794 4666368 4675482 4749696 4826304 4857111 4934208 5013792 5037004 5093376 5103324 5142528 5199488 5249664 5292336 5343408 5428224 5515776 5541312 5550984 5720064 5730048 5756576 5849424 5859372 5942272 5953878 5999616 6048384 6106752 6174392 6233976 6332928 6435072 6476148 6578944 6580602 6685056 6804432 6835934 6946191 6999552 7056448 7124544 7354368 7388416 7401312 7520688 7555506 7640064 7799232 7812496 7874496 7938504 8064512 8128512 8142336 8311968 8326476 8443904 8580096 8595072 8634864 8774136 8789058 8913408 8930817 8999424 9072576 9261588 9332736 9350964 9499392 9652608 9714222 9868416 10027584 10074008 10206648 10253901 10398976 10499328 10584672 10686816 10856448 11031552 11082624 11101968 11333259 11460096 11513152 11698848 11718744 11884544 11907756 11999232 12096768 12213504 12348784 12467952 12665856 12870144 12952296 13157888 13161204 13183587 13370112 13608864 13671868 13892382 13999104 14112896 14249088 14571333 14776832 14802624 15041376 15111012 15280128 15598464 15624992 15748992 15877008 16129024 16284672 16623936 16652952 17160192 17190144 17269728 17548272 17578116 17826816 17861634 17998848 18145152 18523176 18701928 18998784 19305216 19428444 19736832 20055168 20148016 20413296 20507802 20797952 20838573 20998656 21169344 21373632 22063104 22165248 22203936 22666518 22920192 23026304 23397696 23437488 23815512 23925769 24193536 24427008 24697568 24935904 25331712 25740288 25904592 26315776 26322408 26367174 26740224 27217728 27343736 27784764 27998208 28225792 28498176 29142666 29553664 29605248 30082752 30222024 30761703 31196928 31249984 31497984 31754016 32258048 32569344 33247872 33305904 33999777 34380288 34539456 35096544 35156232 35653632 35723268 35997696 36290304 37046352 37403856 37997568 38610432 38856888 39473664 39550761 40110336 40296032 40826592 41015604 41595904 41677146 41997312 42338688 42747264 44330496 44407872 45333036 45840384 46052608 46795392 46874976 47631024 47851538 48387072 48854016 49395136 49871808 51480576 51809184 52631552 52644816 52734348 53480448 54435456 54687472 55569528 56451584 56996352 58285332 59107328 59210496 60165504 60444048 61523406 62393856 62499968 62515719 62995968 63508032 66495744 66611808 67999554 68760576 69078912 70193088 70312464 71446536 71777307 72580608 74092704 74807712 75995136 77220864 77713776 78947328 79101522 80220672 80592064 81653184 82031208 83191808 83354292 83994624 84677376 85494528 88660992 88815744 90666072 92105216 92285109 93590784 93749952 95262048 95703076 96774144 97708032 98790272 99743616 101999331 103618368 105289632 105468696 106960896 108870912 109374944 111139056 112903168 113992704 116570664 118420992 120331008 120888096 123046812 124787712 124999936 125031438 125991936 127016064 132991488 133223616 135999108 137521152 138157824 140386176 140624928 142893072 143554614 145161216 148185408 149615424 154441728 155427552 157894656 158203044 160441344 161184128 163306368 164062416 166708584 169354752 170989056 177321984 177631488 181332144 184210432 184570218 187181568 187499904 190524096 191406152 197580544 199487232 203998662 207236736 210579264 210937392 215331921 217741824 218749888 222278112 225806336 227985408 233141328 236841984 240662016 241776192 246093624 249575424 249999872 250062876 251983872 254032128 265982976 266447232 271998216 276315648 276855327 280772352 281249856 285786144 287109228 290322432 296370816 299230848 310855104 316406088 320882688 322368256 326612736 328124832 333417168 338709504 341978112 355262976 362664288 368420864 369140436 374363136 374999808 381048192 382812304 395161088 398974464 407997324 414473472 421158528 421874784 430663842 435483648 437499776 444556224 466282656 473683968 481324032 483552384 492187248 499999744 500125752 508064256 531965952 532894464 543996432 552631296 553710654 561544704 562499712 571572288 574218456 592741632 598461696 621710208 632812176 644736512 645995763 653225472 656249664 666834336 677419008 683956224 710525952 725328576 738280872 748726272 749999616 762096384 765624608 790322176 797948928 815994648 828946944 842317056 843749568 861327684 870967296 874999552 889112448 932565312 962648064 967104768 984374496 999999488 1000251504 1016128512 1065788928 1087992864 1105262592 1107421308 1123089408 1124999424 1143144576 1148436912 1185483264 1196923392 1243420416 1265624352 1289473024 1291991526 1306450944 1312499328 1333668672 1421051904 1450657152 1476561744 1499999232 1524192768 1531249216 1580644352 1595897856 1631989296 1657893888 1684634112 1687499136 1722655368 1749999104 1778224896 1865130624 1934209536 1937987289 1968748992 2000503008 2032257024 2131577856 2175985728 2214842616 2246178816 2249998848 2286289152 2296873824 2370966528 2393846784 2486840832 2531248704 2578946048 2583983052 2612901888 2624998656 2667337344 2901314304 2953123488 2999998464 3048385536 3062498432 3263978592 3315787776 3369268224 3374998272 3445310736 3499998208 3556449792 3730261248 3868419072 3875974578 3937497984 4001006016 4263155712 4351971456 4429685232 4499997696 4572578304 4593747648 4741933056 4787693568 4973681664 5062497408 5167966104 5249997312 5334674688 5802628608 5906246976 6096771072 6124996864 6527957184 6738536448 6749996544 6890621472 6999996416 7112899584 7460522496 7736838144 7751949156 7874995968 8002012032 8703942912 8859370464 8999995392 9145156608 9187495296 9947363328 10124994816 10335932208 10499994624 10669349376 11605257216 11812493952 12249993728 13055914368 13499993088 13781242944 14225799168 14921044992 15503898312 15749991936 16004024064 17407885824 17718740928 18290313216 18374990592 20249989632 20671864416 20999989248 21338698752 23210514432 23624987904 24499987456 26111828736 26999986176 27562485888 29842089984 31007796624 31499983872 32008048128 34815771648 35437481856 36749981184 40499979264 41343728832 42677397504 47249975808 48999974912 52223657472 55124971776 62015593248 62999967744 64016096256 69631543296 70874963712 73499962368 80999958528 82687457664 94499951616 104447314944 110249943552 124031186496 128032192512 141749927424 146999924736 165374915328 188999903232 208894629888 220499887104 248062372992 283499854848 330749830656 440999774208 496124745984 566999709696 661499661312 992249491968 1322999322624 1984498983936 3968997967872
- Sum of all divisors σ(n): 15002795808000
- Sum of proper divisors (its aliquot sum) s(n): 11033797840128
- 3968997967872 is an abundant number, because the sum of its proper divisors (11033797840128) is greater than itself. Its abundance is 7064799872256
Bases of 3968997967872
- Binary: 1110011100000110101011011011001000000000002
- Hexadecimal: 0x39C1AB6C800
- Base-36: 1ENBYWW00
Squares and roots of 3968997967872
- 3968997967872 squared (39689979678722) is 15752944868972065544208384
- 3968997967872 cubed (39689979678723) is 62523406172949777450497465874905038848
-
The
square root of 3968997967872 is 1992234.4158938727 -
The
cube root of 3968997967872 is 15832.8935615641
Scales and comparisons
How big is 3968997967872?- 3,968,997,967,872 seconds is equal to 126,201 years, 44 weeks, 4 days, 11 hours, 31 minutes, 12 seconds.
-
To count from 1 to 3,968,997,967,872 would take you about three hundred fifteen thousand, five hundred four 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 3968997967872 cubic inches would be around 1319.4 feet tall.
Recreational maths with 3968997967872
- 3968997967872 backwards is 2787697998693
- The number of decimal digits it has is: 13
- The sum of 3968997967872's digits is 90
- More coming soon!
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The information we have on file for 3968997967872 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!
Keywords: Divisors of 3968997967872, math, Factors of 3968997967872, curriculum, school, college, exams, university, Prime factorization of 3968997967872, STEM, science, technology, engineering, physics, economics, calculator, three trillion, nine hundred sixty-eight billion, nine hundred ninety-seven million, nine hundred sixty-seven thousand, eight hundred seventy-two.