40097046554649728
40,097,046,554,649,728 is an even composite number composed of five prime numbers multiplied together.
What does the number 40097046554649728 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 648 divisors.
40097046554649728 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of six hundred forty-eight divisors.
Prime factorization of 40097046554649728:
27 × 72 × 432 × 1272 × 4632
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 7 × 7 × 43 × 43 × 127 × 127 × 463 × 463)See below for interesting mathematical facts about the number 40097046554649728 from the Numbermatics database.
Names of 40097046554649728
- Cardinal: 40097046554649728 can be written as Forty quadrillion, ninety-seven trillion, forty-six billion, five hundred fifty-four million, six hundred forty-nine thousand, seven hundred twenty-eight.
Scientific notation
- Scientific notation: 4.0097046554649728 × 1016
Factors of 40097046554649728
Divisors of 40097046554649728
- Number of divisors d(n): 648
-
Complete list of divisors:
1 2 4 7 8 14 16 28 32 43 49 56 64 86 98 112 127 128 172 196 224 254 301 344 392 448 463 508 602 688 784 889 896 926 1016 1204 1376 1568 1778 1849 1852 2032 2107 2408 2752 3136 3241 3556 3698 3704 4064 4214 4816 5461 5504 6223 6272 6482 7112 7396 7408 8128 8428 9632 10922 12446 12943 12964 14224 14792 14816 16129 16256 16856 19264 19909 21844 22687 24892 25886 25928 28448 29584 29632 32258 33712 38227 38528 39818 43688 45374 49784 51772 51856 56896 58801 59168 59264 64516 67424 76454 79636 87376 90601 90748 99568 103544 103712 112903 113792 117602 118336 129032 134848 139363 152908 159272 174752 181202 181496 199136 207088 207424 214369 225806 234823 235204 236672 258064 267589 269696 278726 305816 318544 349504 362404 362992 398272 411607 414176 414848 428738 451612 469646 470408 516128 535178 557452 611632 637088 693547 699008 724808 725984 790321 796544 823214 828352 856087 857476 903224 939292 940816 975541 1032256 1070356 1114904 1223264 1274176 1387094 1449616 1451968 1500583 1580642 1643761 1646428 1656704 1712174 1714952 1806448 1878584 1881632 1951082 2064512 2140712 2229808 2446528 2528443 2548352 2774188 2881249 2899232 2903936 3001166 3161284 3287522 3292856 3424348 3429904 3612896 3757168 3763264 3902164 4281424 4459616 4854829 4893056 5056886 5548376 5762498 5798464 5992609 6002332 6322568 6575044 6585712 6848696 6859808 7225792 7467727 7514336 7526528 7804328 8562848 8919232 9217867 9709658 10113772 10504081 11096752 11506327 11524996 11596928 11985218 12004664 12645136 13150088 13171424 13697392 13719616 14451584 14935454 15028672 15608656 17125696 17699101 17838464 18435734 19419316 20227544 21008162 22193504 23012654 23049992 23970436 24009328 25290272 26300176 26342848 27224863 27394784 27439232 29822521 29870908 30057344 31217312 33983803 34251392 35398202 36871468 38838632 40455088 41948263 42016324 44387008 46025308 46099984 47940872 48018656 50580544 52274089 52600352 52685696 54449726 54789568 59645042 59741816 62434624 64525069 67967606 70796404 73742936 77677264 80910176 83896526 84032648 88774016 92050616 92199968 95881744 96037312 101161088 104548178 105200704 108723049 108899452 109579136 119290084 119483632 123893707 124869248 129050138 135935212 141592808 147485872 155354528 161820352 167793052 168065296 184101232 184399936 190574041 191763488 192074624 208757647 209096356 210401408 217446098 217798904 238580168 238967264 247787414 258100276 271870424 283185616 294971744 310709056 321112261 323640704 335586104 336130592 365918623 368202464 368799872 381148082 383526976 396368281 417515294 418192712 434892196 435597808 451675483 477160336 477934528 495574828 516200552 543740848 566371232 589943488 621418112 642224522 671172208 672261184 731837246 736404928 761061343 762296164 767053952 792736562 835030588 836385424 869784392 871195616 903350966 954320672 955869056 991149656 1032401104 1087481696 1132742464 1170669109 1179886976 1284449044 1334018287 1342344416 1344522368 1461303529 1463674492 1472809856 1522122686 1524592328 1585473124 1670061176 1672770848 1739568784 1742391232 1806701932 1908641344 1982299312 2064802208 2174963392 2247785827 2265484928 2341338218 2568898088 2668036574 2684688832 2774577967 2922607058 2927348984 3044245372 3049184656 3170946248 3340122352 3345541696 3457557601 3479137568 3484782464 3613403864 3817282688 3964598624 4129604416 4349926784 4495571654 4682676436 5137796176 5327429401 5336073148 5369377664 5549155934 5845214116 5854697968 6088490744 6098369312 6341892496 6680244704 6691083392 6915115202 6958275136 7226807728 7929197248 8194683763 8259208832 8991143308 9365352872 10275592352 10654858802 10672146296 11098311868 11690428232 11709395936 12176981488 12196738624 12683784992 13360489408 13807827223 13830230404 13916550272 14453615456 15734500789 15858394496 16389367526 17982286616 18730705744 19422045769 20551184704 21309717604 21344292592 22196623736 23380856464 23418791872 24202903207 24353962976 24393477248 25367569984 26720978816 27615654446 27660460808 28907230912 31469001578 32778735052 35964573232 37461411488 38844091538 41102369408 42619435208 42688585184 44393247472 46761712928 46837583744 48405806414 48707925952 50338771687 50735139968 55231308892 55320921616 57362786341 57814461824 62938003156 65557470104 71929146464 74922822976 77688183076 85238870416 85377170368 88786494944 93523425856 96654790561 96811612828 97415851904 100677543374 110462617784 110641843232 114725572682 125876006312 131114940208 143858292928 148674976843 149845645952 155376366152 169420322449 170477740832 170754340736 177572989888 187046851712 193309581122 193623225656 201355086748 220925235568 221283686464 229451145364 251752012624 262229880416 287716585856 297349953686 310752732304 338840644898 340955481664 352371401809 355145979776 386619162244 387246451312 402710173496 441850471136 442567372928 458902290728 503504025248 524459760832 594699907372 621505464608 676583533927 677681289796 681910963328 704742803618 773238324488 774492902624 805420346992 883700942272 917804581456 1007008050496 1040724837901 1048919521664 1189399814744 1243010929216 1353167067854 1355362579592 1409485607236 1546476648976 1548985805248 1610840693984 1767401884544 1835609162912 2014016100992 2081449675802 2378799629488 2466599812663 2486021858432 2706334135708 2710725159184 2818971214472 3092953297952 3097971610496 3221681387968 3671218325824 4162899351604 4757599258976 4933199625326 5412668271416 5421450318368 5637942428944 6185906595904 6393024004249 6443362775936 7285073865307 7342436651648 8325798703208 9515198517952 9866399250652 10825336542832 10842900636736 11275884857888 12371813191808 12786048008498 14570147730614 16651597406416 19030397035904 19732798501304 21650673085664 21685801273472 22551769715776 25572096016996 29140295461228 33303194812832 39465597002608 43301346171328 44751168029743 45103539431552 51144192033992 58280590922456 66606389625664 78931194005216 86602692342656 89502336059486 102288384067984 116561181844912 133212779251328 157862388010432 179004672118972 204576768135968 233122363689824 313258176208201 315724776020864 358009344237944 409153536271936 466244727379648 626516352416402 716018688475888 818307072543872 932489454759296 1253032704832804 1432037376951776 2506065409665608 2864074753903552 5012130819331216 5728149507807104 10024261638662432 20048523277324864 40097046554649728
- Sum of all divisors σ(n): 96096384656395155
- Sum of proper divisors (its aliquot sum) s(n): 55999338101745427
- 40097046554649728 is an abundant number, because the sum of its proper divisors (55999338101745427) is greater than itself. Its abundance is 15902291547095699
Bases of 40097046554649728
- Binary: 100011100111010000001101001010000110111010100100100000002
- Hexadecimal: 0x8E740D286EA480
- Base-36: AYT7SW3KQ68
Squares and roots of 40097046554649728
- 40097046554649728 squared (400970465546497282) is 1607773142405747622643296770473984
- 40097046554649728 cubed (400970465546497283) is 64466954540358749210572096733097973017937656676352
-
The
square root of 40097046554649728 is 200242469.4080896717 -
The
cube root of 40097046554649728 is 342271.5447514465
Scales and comparisons
How big is 40097046554649728?- 40,097,046,554,649,728 seconds is equal to 1,274,962,052 years, 6 weeks, 5 days, 2 hours, 42 minutes, 8 seconds.
-
To count from 1 to 40,097,046,554,649,728 would take you about three billion, eight hundred twenty-four million, eight hundred eighty-six thousand, one hundred fifty-six 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 40097046554649728 cubic inches would be around 28522.6 feet tall.
Recreational maths with 40097046554649728
- 40097046554649728 backwards is 82794645564079004
- The number of decimal digits it has is: 17
- The sum of 40097046554649728's digits is 80
- More coming soon!
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The information we have on file for 40097046554649728 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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