40700825468938128

Names of 40700825468938128

• Cardinal: 40700825468938128 can be written as Forty quadrillion, seven hundred trillion, eight hundred twenty-five billion, four hundred sixty-eight million, nine hundred thirty-eight thousand, one hundred twenty-eight.

Scientific notation

• Scientific notation: 4.0700825468938128 × 10¹⁶

Factors of 40700825468938128

• Number of distinct prime factors ω(n): 8
• Total number of prime factors Ω(n): 11
• Sum of prime factors: 133777

Divisors of 40700825468938128

• Number of divisors d(n): 640
• Complete list of divisors:
  1 2 3 4 6 8 12 13 16 17 23 24 26 34 39 46 48 51 52 68 69 78 92 102 104 136 138 156 184 204 208 221 272 276 299 312 368 391 408 442 552 598 624 631 663 782 816 884 897 1104 1173 1196 1262 1326 1564 1768 1794 1893 2017 2346 2392 2524 2652 3128 3536 3588 3786 4034 4692 4784 5048 5083 5304 6051 6256 7176 7572 8068 8203 9384 10096 10166 10608 10727 12102 14352 14513 15144 15249 16136 16406 18768 20332 21454 24204 24609 26221 29026 30288 30498 32181 32272 32812 34289 40664 42908 43539 46391 48408 49218 52442 58052 60996 64362 65624 68578 78663 81328 85816 87078 92782 96816 98436 102867 104884 116104 121992 128724 131071 131248 137156 139173 139451 157326 171632 174156 185564 188669 196872 205734 209768 232208 243984 246721 257448 262142 274312 278346 278902 314652 348312 371128 377338 393213 393744 411468 418353 419536 445757 493442 514896 524284 548624 556692 557804 566007 603083 629304 696624 740163 742256 754676 786426 788647 822936 836706 891514 986884 1048568 1113384 1115608 1132014 1206166 1258608 1272727 1337271 1480326 1509352 1572852 1577294 1645872 1673412 1703923 1783028 1809249 1973768 2097136 2226768 2228207 2231216 2264028 2365941 2412332 2545454 2674542 2960652 3014633 3018704 3145704 3154588 3207373 3346824 3407846 3566056 3618498 3818181 3947536 4456414 4528056 4731882 4824664 5090908 5111769 5349084 5921304 6029266 6291408 6309176 6414746 6684621 6693648 6815692 7132112 7236996 7636362 8912828 9043899 9056112 9463764 9622119 9649328 10181816 10223538 10252411 10698168 11842608 12058532 12618352 12829492 13369242 13631384 14473992 15272724 16545451 17825656 18087798 18927528 19244238 20363632 20447076 20504822 21396336 21636359 24117064 25658984 26738484 27262768 28947984 28966691 29272721 30545448 30757233 33090902 35651312 36175596 37855056 38488476 39190229 40894152 41009644 43272718 48234128 49636353 51248761 51317968 53476968 57933382 58545442 61090896 61514466 64909077 66181804 72351192 76976952 78380458 81788304 82019288 82705801 86545436 86900073 87818163 99272706 102497522 106953936 115866764 117090884 117570687 123028932 129818154 132363608 144702384 153746283 153953904 156760916 164038576 165411602 173090872 173800146 175636326 198545412 204995044 231733528 234181768 235141374 246057864 248117403 259636308 264370207 264727216 281272667 307492566 313521832 330823204 346181744 347600292 351272652 380545373 397090824 409990088 463467056 468363536 470282748 492115728 496234806 497636257 519272616 528740414 562545334 614985132 627043664 661646408 666233893 695200584 702545304 761090746 793110621 794181648 819980176 843818001 940565496 992469612 995272514 1038545232 1057480828 1075175413 1125090668 1141636119 1229970264 1323292816 1332467786 1390401168 1405090608 1405998617 1492908771 1522181492 1586221242 1687636002 1881130992 1902233423 1984939224 1990545028 1998701679 2114961656 2150350826 2250181336 2283272238 2459940528 2664935572 2811997234 2985817542 3044362984 3172442484 3225526239 3375272004 3436812691 3804466846 3969878448 3981090056 3997403358 4217995851 4229923312 4300701652 4494293519 4500362672 4566544476 5329871144 5623994468 5706700269 5971635084 6080514761 6088725968 6344884968 6451052478 6469271341 6750544008 6873625382 7608933692 7962180112 7994806716 8435991702 8601403304 8988587038 9133088952 10310438073 10659742288 11247988936 11413400538 11943270168 12161029522 12689769936 12902104956 12938542682 13482880557 13501088016 13747250764 15217867384 15989613432 16871983404 17202806608 17977174076 18241544283 18266177904 18277982021 19407814023 20620876146 22495977872 22826801076 23886540336 24322059044 24729034499 25804209912 25877085364 26965761114 27494501528 30435734768 31979226864 32337968191 33743966808 35954348152 36483088566 36555964042 38815628046 41241752292 45653602152 48644118088 49458068998 51608419824 51754170728 53931522228 54833946063 54989003056 58425815747 64675936382 67487933616 71908696304 72966177132 73111928084 74187103497 77631256092 79046691893 82483504584 91307204304 97013904573 97288236176 98916137996 103368750937 103508341456 107863044456 109667892126 116851631494 129351872764 145932354264 146223856168 148374206994 155262512184 158093383786 164967009168 166817600617 175277447241 194027809146 197832275992 206737501874 215726088912 219335784252 233703262988 237140075679 258703745528 291864708528 292447712336 296748413988 310106252811 310525024368 316186767572 333635201234 350554894482 388055618292 395664551984 413475003748 420393586483 438671568504 467406525976 474280151358 500452801851 517407491056 593496827976 620212505622 632373535144 667270402468 701109788964 776111236584 826950007496 840787172966 877343137008 934813051952 948560302716 1000905603702 1186993655952 1240425011244 1261180759449 1264747070288 1334540804936 1343793762181 1402219577928 1552222473168 1653900014992 1681574345932 1897120605432 2001811207404 2168628808021 2480850022488 2522361518898 2669081609872 2687587524362 2804439155856 2835899210489 3363148691864 3794241210864 3836804814191 4003622414808 4031381286543 4337257616042 4961700044976 5044723037796 5375175048724 5671798420978 6505886424063 6726297383728 7673609628382 8007244829616 8062762573086 8507697631467 8674515232084 10089446075592 10750350097448 11343596841956 11510414442573 13011772848126 15347219256764 16125525146172 17015395262934 17349030464168 20178892151184 21500700194896 22687193683912 23020828885146 26023545696252 30694438513528 32251050292344 34030790525868 34698060928336 36866689736357 45374387367824 46041657770292 49878462584483 52047091392504 61388877027056 64502100584688 65225681841247 68061581051736 73733379472714 92083315540584 99756925168966 104094182785008 110600069209071 130451363682494 136123162103472 147466758945428 149635387753449 184166631081168 195677045523741 199513850337932 221200138418142 260902727364988 294933517890856 299270775506898 391354091047482 399027700675864 442400276836284 521805454729976 589867035781712 598541551013796 782708182094964 798055401351728 847933863936211 884800553672568 1043610909459952 1197083102027592 1565416364189928 1695867727872422 1769601107345136 2394166204055184 2543801591808633 3130832728379856 3391735455744844 5087603183617266 6783470911489688 10175206367234532 13566941822979376 20350412734469064 40700825468938128
• Sum of all divisors σ(n): 125366538332012544
• Sum of proper divisors (its aliquot sum) s(n): 84665712863074416
• 40700825468938128 is an abundant number, because the sum of its proper divisors (84665712863074416) is greater than itself. Its abundance is 43964887394136288

Bases of 40700825468938128

• Binary: 10010000100110010010111101100100001001000010011110010000₂
• Hexadecimal: 0x90992F64242790
• Base-36: B4R8L3G17DC

Squares and roots of 40700825468938128

• 40700825468938128 squared (40700825468938128²) is 1656557193852962587014167892144384
• 40700825468938128 cubed (40700825468938128³) is 67423245226323335395952302707248448736693338673152
• The square root of 40700825468938128 is 201744455.8567549037
• The cube root of 40700825468938128 is 343980.9612596681

Scales and comparisons

• 40,700,825,468,938,128 seconds is equal to 1,294,160,353 years, 51 weeks, 4 days, 10 hours, 48 minutes, 48 seconds.
• To count from 1 to 40,700,825,468,938,128 would take you about three billion, eight hundred eighty-two million, four hundred eighty-one thousand and sixty-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 40700825468938128 cubic inches would be around 28665.1 feet tall.

Recreational maths with 40700825468938128

• 40700825468938128 backwards is 82183986452800704
• The number of decimal digits it has is: 17
• The sum of 40700825468938128's digits is 75
• More coming soon!