3420945461018624

Names of 3420945461018624

• Cardinal: 3420945461018624 can be written as Three quadrillion, four hundred twenty trillion, nine hundred forty-five billion, four hundred sixty-one million, eighteen thousand, six hundred twenty-four.

Scientific notation

• Scientific notation: 3.420945461018624 × 10¹⁵

Factors of 3420945461018624

• Number of distinct prime factors ω(n): 4
• Total number of prime factors Ω(n): 32
• Sum of prime factors: 37

Divisors of 3420945461018624

• Number of divisors d(n): 1200
• Complete list of divisors:
  1 2 4 7 8 11 14 16 17 22 28 32 34 44 49 56 64 68 77 88 98 112 119 121 128 136 154 176 187 196 224 238 242 256 272 289 308 343 352 374 392 448 476 484 512 539 544 578 616 686 704 748 784 833 847 896 952 968 1024 1078 1088 1156 1232 1309 1372 1408 1496 1568 1666 1694 1792 1904 1936 2023 2048 2057 2156 2176 2312 2464 2618 2744 2816 2992 3136 3179 3332 3388 3584 3773 3808 3872 4046 4096 4114 4312 4352 4624 4913 4928 5236 5488 5632 5831 5929 5984 6272 6358 6664 6776 7168 7546 7616 7744 8092 8192 8228 8624 8704 9163 9248 9826 9856 10472 10976 11264 11662 11858 11968 12544 12716 13328 13552 14161 14336 14399 15092 15232 15488 16184 16384 16456 17248 17408 18326 18496 19652 19712 20944 21952 22253 22528 23324 23716 23936 25088 25432 26656 27104 28322 28672 28798 30184 30464 30976 32368 32768 32912 34391 34496 34816 34969 36652 36992 39304 39424 41503 41888 43904 44506 45056 46648 47432 47872 50176 50864 53312 54043 54208 56644 57344 57596 60368 60928 61952 64141 64736 65536 65824 68782 68992 69632 69938 73304 73984 78608 78848 83006 83776 87808 89012 90112 93296 94864 95744 99127 100352 100793 101728 106624 108086 108416 113288 114688 115192 120736 121856 123904 128282 129472 131072 131648 137564 137984 139264 139876 146608 147968 155771 157216 157696 166012 167552 175616 178024 180224 186592 189728 191488 198254 200704 201586 203456 213248 216172 216832 226576 229376 230384 240737 241472 243712 244783 247808 256564 258944 262144 263296 275128 275968 278528 279752 293216 295936 311542 314432 315392 332024 335104 351232 356048 360448 373184 378301 379456 382976 396508 401408 403172 406912 426496 432344 433664 453152 458752 460768 481474 482944 487424 489566 495616 513128 517888 524288 526592 550256 551936 557056 559504 586432 591872 594473 623084 628864 630784 664048 670208 702464 705551 712096 720896 746368 756602 758912 765952 793016 802816 806344 813824 852992 864688 867328 906304 917504 921536 962948 965888 974848 979132 991232 1026256 1035776 1048576 1053184 1090397 1100512 1103872 1114112 1119008 1172864 1183744 1188946 1246168 1257728 1261568 1328096 1340416 1404928 1411102 1424192 1441792 1492736 1513204 1517824 1531904 1586032 1605632 1612688 1627648 1685159 1705984 1713481 1729376 1734656 1812608 1835008 1843072 1925896 1931776 1949696 1958264 1982464 2052512 2071552 2097152 2106368 2180794 2201024 2207744 2228224 2238016 2345728 2367488 2377892 2492336 2515456 2523136 2648107 2656192 2680832 2809856 2822204 2848384 2883584 2985472 3026408 3035648 3063808 3172064 3211264 3225376 3255296 3370318 3411968 3426962 3458752 3469312 3625216 3670016 3686144 3851792 3863552 3899392 3916528 3964928 4105024 4143104 4161311 4194304 4212736 4361588 4402048 4415488 4456448 4476032 4691456 4734976 4755784 4984672 5030912 5046272 5296214 5312384 5361664 5619712 5644408 5696768 5767168 5970944 6052816 6071296 6127616 6344128 6422528 6450752 6510592 6740636 6823936 6853924 6917504 6938624 7250432 7340032 7372288 7703584 7727104 7798784 7833056 7929856 8210048 8286208 8322622 8388608 8425472 8723176 8804096 8830976 8912896 8952064 9382912 9469952 9511568 9969344 10061824 10092544 10592428 10624768 10723328 11239424 11288816 11393536 11534336 11941888 11994367 12105632 12142592 12255232 12688256 12845056 12901504 13021184 13481272 13647872 13707848 13835008 13877248 14500864 14680064 14744576 15407168 15454208 15597568 15666112 15859712 16420096 16572416 16645244 16777216 16850944 17446352 17608192 17661952 17825792 17904128 18536749 18765824 18939904 19023136 19938688 20123648 20185088 21184856 21249536 21446656 22478848 22577632 22787072 23068672 23883776 23988734 24211264 24285184 24510464 25376512 25690112 25803008 26042368 26962544 27295744 27415696 27670016 27754496 29001728 29129177 29360128 29489152 30814336 30908416 31195136 31332224 31719424 32840192 33144832 33290488 33701888 34892704 35216384 35323904 35651584 35808256 37073498 37531648 37879808 38046272 39877376 40247296 40370176 42369712 42499072 42893312 44957696 45155264 45574144 46137344 47767552 47977468 48422528 48570368 49020928 50753024 51380224 51606016 52084736 53925088 54591488 54831392 55340032 55508992 58003456 58258354 58720256 58978304 61628672 61816832 62390272 62664448 63438848 65680384 66289664 66580976 67403776 69785408 70432768 70647808 71303168 71616512 74146996 75063296 75759616 76092544 79754752 80494592 80740352 84739424 84998144 85786624 89915392 90310528 91148288 92274688 95535104 95954936 96845056 97140736 98041856 101506048 102760448 103212032 104169472 107850176 109182976 109662784 110680064 111017984 116006912 116516708 117440512 117956608 123257344 123633664 124780544 125328896 126877696 131360768 132579328 133161952 134807552 139570816 140865536 141295616 142606336 143233024 148293992 150126592 151519232 152185088 159509504 160989184 161480704 169478848 169996288 171573248 179830784 180621056 182296576 184549376 191070208 191909872 193690112 194281472 196083712 203012096 203904239 205520896 206424064 208338944 215700352 218365952 219325568 221360128 222035968 232013824 233033416 235913216 246514688 247267328 249561088 250657792 253755392 262721536 265158656 266323904 269615104 279141632 281731072 282591232 285212672 286466048 296587984 300253184 303038464 304370176 319019008 321978368 322961408 338957696 339992576 343146496 359661568 361242112 364593152 382140416 383819744 387380224 388562944 392167424 406024192 407808478 411041792 412848128 416677888 431400704 436731904 438651136 442720256 444071936 464027648 466066832 471826432 493029376 494534656 499122176 501315584 507510784 525443072 530317312 532647808 539230208 558283264 563462144 565182464 572932096 593175968 600506368 606076928 608740352 638038016 643956736 645922816 677915392 679985152 686292992 719323136 722484224 729186304 764280832 767639488 774760448 777125888 784334848 812048384 815616956 822083584 825696256 833355776 862801408 873463808 877302272 885440512 888143872 928055296 932133664 943652864 986058752 989069312 998244352 1002631168 1015021568 1050886144 1060634624 1065295616 1078460416 1116566528 1126924288 1130364928 1145864192 1186351936 1201012736 1212153856 1217480704 1276076032 1287913472 1291845632 1355830784 1359970304 1372585984 1438646272 1444968448 1458372608 1528561664 1535278976 1549520896 1554251776 1568669696 1624096768 1631233912 1651392512 1666711552 1725602816 1746927616 1754604544 1770881024 1776287744 1856110592 1864267328 1887305728 1972117504 1978138624 1996488704 2005262336 2030043136 2101772288 2121269248 2130591232 2156920832 2233133056 2253848576 2260729856 2291728384 2372703872 2402025472 2424307712 2434961408 2552152064 2575826944 2711661568 2719940608 2745171968 2877292544 2889936896 2916745216 3057123328 3070557952 3099041792 3108503552 3137339392 3248193536 3262467824 3302785024 3333423104 3451205632 3493855232 3509209088 3541762048 3552575488 3712221184 3728534656 3774611456 3944235008 3956277248 4010524672 4203544576 4242538496 4261182464 4313841664 4466266112 4507697152 4521459712 4583456768 4745407744 4804050944 4848615424 4869922816 5104304128 5151653888 5423323136 5439881216 5490343936 5754585088 5779873792 5833490432 6114246656 6141115904 6198083584 6217007104 6496387072 6524935648 6605570048 6666846208 6902411264 6987710464 7018418176 7083524096 7105150976 7424442368 7457069312 7549222912 7888470016 7912554496 8021049344 8407089152 8485076992 8522364928 8627683328 8932532224 9015394304 9042919424 9166913536 9490815488 9608101888 9739845632 10208608256 10303307776 10846646272 10879762432 10980687872 11559747584 11666980864 12228493312 12282231808 12396167168 12434014208 12992774144 13049871296 13211140096 13333692416 13804822528 13975420928 14036836352 14167048192 14210301952 14848884736 14914138624 15098445824 15776940032 15825108992 16042098688 16814178304 16970153984 17044729856 17255366656 17865064448 18030788608 18333827072 18981630976 19216203776 19479691264 20417216512 20606615552 21693292544 21759524864 21961375744 23119495168 23333961728 24456986624 24564463616 24792334336 24868028416 25985548288 26099742592 26422280192 26667384832 27609645056 28073672704 28334096384 29697769472 29828277248 30196891648 31553880064 31650217984 32084197376 33628356608 33940307968 34089459712 34510733312 35730128896 36061577216 36667654144 37963261952 38432407552 38959382528 40834433024 41213231104 43386585088 43519049728 46238990336 46667923456 48913973248 49128927232 49584668672 49736056832 51971096576 52199485184 52844560384 53334769664 55219290112 56147345408 56668192768 59395538944 59656554496 60393783296 63107760128 63300435968 64168394752 67256713216 68178919424 71460257792 72123154432 73335308288 75926523904 76864815104 77918765056 81668866048 82426462208 86773170176 87038099456 92477980672 93335846912 97827946496 98257854464 99169337344 99472113664 103942193152 104398970368 105689120768 110438580224 112294690816 113336385536 118791077888 119313108992 120787566592 126215520256 128336789504 134513426432 136357838848 142920515584 144246308864 146670616576 151853047808 153729630208 155837530112 163337732096 173546340352 174076198912 184955961344 186671693824 196515708928 198338674688 207884386304 208797940736 211378241536 220877160448 224589381632 226672771072 237582155776 238626217984 241575133184 252431040512 256673579008 269026852864 272715677696 285841031168 288492617728 293341233152 303706095616 311675060224 326675464192 347092680704 348152397824 369911922688 373343387648 393031417856 396677349376 415768772608 417595881472 422756483072 441754320896 449178763264 453345542144 477252435968 504862081024 513347158016 538053705728 545431355392 571682062336 576985235456 586682466304 607412191232 623350120448 653350928384 694185361408 696304795648 739823845376 786062835712 793354698752 831537545216 835191762944 845512966144 883508641792 898357526528 906691084288 954504871936 1009724162048 1026694316032 1076107411456 1090862710784 1143364124672 1214824382464 1246700240896 1306701856768 1388370722816 1479647690752 1572125671424 1586709397504 1663075090432 1670383525888 1691025932288 1767017283584 1796715053056 1909009743872 2019448324096 2053388632064 2181725421568 2286728249344 2429648764928 2493400481792 2613403713536 2776741445632 2959295381504 3144251342848 3173418795008 3340767051776 3534034567168 3593430106112 3818019487744 4038896648192 4106777264128 4363450843136 4573456498688 4859297529856 4986800963584 5553482891264 5918590763008 6288502685696 6346837590016 6681534103552 7068069134336 7186860212224 7636038975488 8726901686272 9146912997376 9718595059712 9973601927168 11106965782528 11837181526016 12577005371392 13363068207104 14136138268672 14373720424448 15272077950976 17453803372544 18293825994752 19437190119424 22213931565056 25154010742784 26726136414208 28272276537344 28747440848896 30544155901952 34907606745088 38874380238848 44427863130112 50308021485568 53452272828416 61088311803904 69815213490176 77748760477696 100616042971136 106904545656832 122176623607808 155497520955392 201232085942272 213809091313664 244353247215616 310995041910784 427618182627328 488706494431232 855236365254656 1710472730509312 3420945461018624
• Sum of all divisors σ(n): 9318199706424000
• Sum of proper divisors (its aliquot sum) s(n): 5897254245405376
• 3420945461018624 is an abundant number, because the sum of its proper divisors (5897254245405376) is greater than itself. Its abundance is 2476308784386752

Bases of 3420945461018624

• Binary: 1100001001110101010011101111000000000000000000000000₂
• Hexadecimal: 0xC2754EF000000
• Base-36: XOMGNDANSW

Squares and roots of 3420945461018624

• 3420945461018624 squared (3420945461018624²) is 11702867847263925897531674853376
• 3420945461018624 cubed (3420945461018624³) is 40034872642998322778988777549300097638805274624
• The square root of 3420945461018624 is 58488849.0314061831
• The cube root of 3420945461018624 is 150677.6078711285

Scales and comparisons

• 3,420,945,461,018,624 seconds is equal to 108,775,483 years, 51 weeks, 4 hours, 43 minutes, 44 seconds.
• To count from 1 to 3,420,945,461,018,624 would take you about three hundred twenty-six million, three hundred twenty-six thousand, four hundred fifty-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 3420945461018624 cubic inches would be around 12556.5 feet tall.

Recreational maths with 3420945461018624

• 3420945461018624 backwards is 4268101645490243
• The number of decimal digits it has is: 16
• The sum of 3420945461018624's digits is 59
• More coming soon!