420493396557312
420,493,396,557,312 is an even composite number composed of six prime numbers multiplied together.
What does the number 420493396557312 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 1620 divisors.
420493396557312 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one thousand, six hundred twenty divisors.
Prime factorization of 420493396557312:
29 × 32 × 132 × 312 × 612 × 151
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 13 × 13 × 31 × 31 × 61 × 61 × 151)See below for interesting mathematical facts about the number 420493396557312 from the Numbermatics database.
Names of 420493396557312
- Cardinal: 420493396557312 can be written as Four hundred twenty trillion, four hundred ninety-three billion, three hundred ninety-six million, five hundred fifty-seven thousand, three hundred twelve.
Scientific notation
- Scientific notation: 4.20493396557312 × 1014
Factors of 420493396557312
Divisors of 420493396557312
- Number of divisors d(n): 1620
-
Complete list of divisors:
1 2 3 4 6 8 9 12 13 16 18 24 26 31 32 36 39 48 52 61 62 64 72 78 93 96 104 117 122 124 128 144 151 156 169 183 186 192 208 234 244 248 256 279 288 302 312 338 366 372 384 403 416 453 468 488 496 507 512 549 558 576 604 624 676 732 744 768 793 806 832 906 936 961 976 992 1014 1098 1116 1152 1208 1209 1248 1352 1359 1464 1488 1521 1536 1586 1612 1664 1812 1872 1891 1922 1952 1963 1984 2028 2196 2232 2304 2379 2416 2418 2496 2704 2718 2883 2928 2976 3042 3172 3224 3328 3624 3627 3721 3744 3782 3844 3904 3926 3968 4056 4392 4464 4608 4681 4758 4832 4836 4992 5239 5408 5436 5673 5766 5856 5889 5952 6084 6344 6448 6656 7137 7248 7254 7442 7488 7564 7688 7808 7852 7936 8112 8649 8784 8928 9211 9362 9516 9664 9672 9984 10309 10478 10816 10872 11163 11346 11532 11712 11778 11904 12168 12493 12688 12896 14043 14274 14496 14508 14884 14976 15128 15376 15616 15704 15717 15872 16224 17019 17298 17568 17667 17856 18422 18724 19032 19328 19344 19968 20618 20956 21632 21744 22326 22692 23064 23424 23556 23808 24336 24583 24986 25376 25519 25792 27633 28086 28548 28992 29016 29768 29952 30256 30752 30927 31232 31408 31434 32448 33489 34038 34596 35136 35334 35712 36844 37448 37479 38064 38656 38688 41236 41912 42129 43264 43488 44652 45384 46128 46848 47112 47151 47616 48373 48672 49166 49972 50752 51038 51584 55266 56172 57096 57984 58032 58621 59536 59904 60512 60853 61504 61854 62816 62868 64896 66978 68076 69192 70272 70668 71424 73688 73749 74896 74958 76128 76557 77312 77376 82472 82899 83824 84258 86528 86976 89304 90768 92256 92781 93696 94224 94302 96746 97344 98332 99944 101504 102076 103168 110532 112344 112437 114192 115351 115968 116064 117242 119072 119743 121024 121706 123008 123708 125632 125736 129792 133956 136152 138384 140544 141336 142848 145111 145119 147376 147498 149792 149916 152256 153114 154752 162409 164944 165798 167648 168516 173952 175863 178608 181536 182559 184512 185562 188448 188604 193492 194688 196664 199888 203008 204152 206336 221064 221247 224688 224874 228384 229671 230702 231936 232128 234484 238144 239486 242048 243412 246016 247416 251264 251472 259584 267912 272304 276768 281088 282672 285541 290222 290238 294752 294996 299584 299832 304512 306228 309504 319579 324818 329888 331596 335296 337032 346053 347904 351726 357216 359229 363072 365118 369024 371124 376896 377208 386984 389376 393328 399776 406016 408304 435333 435357 442128 442494 449376 449748 456768 459342 461404 464256 468968 476288 478972 484096 486824 487227 492032 494832 502528 502944 527589 535824 544608 547677 553536 561871 565344 571082 580444 580476 589504 589992 599168 599664 609024 612456 619008 628849 639158 649636 659776 663192 670592 674064 692106 695808 703452 714432 718458 726144 730236 738048 742248 753792 754416 762073 773968 778752 786656 791089 799552 816608 856623 870666 870714 884256 884988 898752 899496 913536 918684 922808 928512 937936 952576 957944 958737 968192 973648 974454 989664 1005056 1005888 1038159 1055178 1071648 1077687 1089216 1095354 1107072 1123742 1130688 1142164 1160888 1160952 1179008 1179984 1198336 1199328 1218048 1224912 1257698 1278316 1299272 1305999 1319552 1326384 1341184 1348128 1384212 1406904 1428864 1436916 1452288 1460472 1461681 1476096 1484496 1499563 1507584 1508832 1524146 1547936 1556659 1573312 1582178 1599104 1633216 1685613 1713246 1741332 1741428 1768512 1769976 1797504 1798992 1827072 1837368 1845616 1857024 1875872 1886443 1886547 1905152 1915888 1917474 1947296 1948908 1979328 2011776 2076318 2110356 2143296 2155374 2178432 2190708 2214144 2247484 2261376 2284328 2286219 2321776 2321904 2358016 2359968 2373267 2396672 2398656 2449824 2515396 2556632 2569869 2598544 2611998 2639104 2652768 2682368 2696256 2768424 2813808 2857728 2873832 2876211 2904576 2920944 2923362 2968992 2999126 3015168 3017664 3048292 3095872 3113318 3146624 3164356 3198208 3266432 3371226 3426492 3482664 3482856 3537024 3539952 3575881 3595008 3597984 3654144 3674736 3691232 3712033 3751744 3772886 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284868597 287677952 287916096 289538574 292636032 294285108 298878528 303778176 311909104 313524018 317022368 318663756 321970688 323637696 328943232 334335744 343284576 345219069 350607504 350897742 356355168 356650164 362197056 362217024 368155008 371891624 374190336 379824796 383888128 386051432 390181376 392380144 398504704 405037568 418032024 418378077 424885008 431516928 431874144 434307861 438590976 438954048 441427662 448317792 452868026 455667264 457712768 460292092 467476672 467863656 475140224 475533552 482929408 482956032 490873344 514926864 525911256 531537408 534532752 539958031 543295584 551775744 557376032 557837436 566513344 569737194 575832192 579077148 585272064 588570216 597757056 604323889 607556352 623818208 627048036 634044736 637327512 647275392 657886464 668671488 679302039 686569152 690438138 701215008 701795484 712710336 713300328 724394112 724434048 736310016 743783248 748380672 759649592 767776256 772102864 784760288 797009408 836064048 836756154 849770016 854605791 863033856 863748288 868615722 877908096 882855324 896635584 905736052 911334528 915425536 920584184 934953344 935727312 950280448 951067104 965858816 965912064 1029853728 1035657207 1051822512 1069065504 1079916062 1086591168 1114752064 1115674872 1133026688 1139474388 1151664384 1158154296 1170544128 1177140432 1195514112 1208647778 1215112704 1247636416 1254096072 1268089472 1274655024 1294550784 1315772928 1358604078 1373138304 1380876276 1402430016 1403590968 1425420672 1426600656 1448788224 1448868096 1472620032 1487566496 1495949299 1519299184 1544205728 1569520576 1619874093 1672128096 1673512308 1699540032 1709211582 1727496576 1737231444 1755816192 1765710648 1793271168 1811472104 1812971667 1822669056 1830851072 1841168368 1869906688 1871454624 1900560896 1902134208 2037906117 2059707456 2071314414 2103645024 2138131008 2159832124 2173182336 2229504128 2231349744 2266053376 2278948776 2303328768 2316308592 2354280864 2391028224 2417295556 2495272832 2508192144 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8830926507 8918016512 8925398976 8975695794 9115795104 9265234368 9417123456 9669182224 9719244558 9981091328 10032768576 10197240192 10868832624 10877830002 11047010208 11219440128 11228727744 11412805248 11774568676 11900531968 11967594392 12154393472 12353645824 12556164608 12958992744 13377024768 13388098464 13463543691 13596320256 13673692656 13897851552 14038908806 14125685184 14491776832 14503773336 14729346944 14971636992 15217073664 16303248936 16477659648 16570515312 16829160192 17105048064 17278656992 17661853014 17850797952 17951391588 18231590208 18530468736 18834246912 19338364448 19438489116 20065537152 20394480384 21058363209 21737665248 21755660004 22094020416 22457455488 22825610496 23549137352 23801063936 23935188784 24308786944 24707291648 25917985488 26492779521 26754049536 26776196928 26927087382 27347385312 27795703104 28077817612 28251370368 28983553664 29007546672 29458693888 29943273984 32606497872 33141030624 33658320384 34557313984 35323706028 35701595904 35902783176 36463180416 37060937472 37668493824 38676728896 38876978232 40131074304 40788960768 42116726418 43475330496 43511320008 44188040832 44914910976 45651220992 47098274704 47870377568 48617573888 51835970976 52985559042 53552393856 53854174764 54694770624 55591406208 56155635224 56502740736 57967107328 58015093344 58917387776 63175089627 65212995744 66282061248 69114627968 70647412056 71403191808 71805566352 72926360832 74121874944 77353457792 77753956464 80262148608 84233452836 86950660992 87022640016 88376081664 89829821952 91252907239 94196549408 95740755136 103671941952 105971118084 107104787712 107708349528 109389541248 111182812416 112311270448 113005481472 115934214656 116030186688 126350179254 130425991488 132564122496 138229255936 141294824112 143611132704 145852721664 154706915584 155507912928 168466905672 173901321984 174045280032 176752163328 182505814478 188393098816 191481510272 207343883904 211942236168 214209575424 215416699056 218779082496 222365624832 224622540896 232060373376 252700358508 260851982976 265128244992 273758721717 276458511872 282589648224 287222265408 309413831168 311015825856 336933811344 347802643968 348090560064 365011628956 376786197632 382963020544 414687767808 423884472336 430833398112 437558164992 449245081792 464120746752 505400717016 521703965952 530256489984 547517443434 565179296448 574444530816 622031651712 673867622688 696181120128 730023257912 753572395264 765926041088 821276165151 829375535616 847768944672 861666796224 898490163584 928241493504 1010801434032 1043407931904 1095034886868 1130358592896 1148889061632 1244063303424 1347735245376 1392362240256 1460046515824 1507144790528 1642552330302 1695537889344 1723333592448 1796980327168 2021602868064 2190069773736 2260717185792 2297778123264 2488126606848 2695470490752 2784724480512 2920093031648 3285104660604 3391075778688 3446667184896 3593960654336 4043205736128 4380139547472 4521434371584 5390940981504 5840186063296 6570209321208 6782151557376 6893334369792 8086411472256 8760279094944 10781881963008 11680372126592 13140418642416 13564303114752 16172822944512 17520558189888 23360744253184 26280837284832 32345645889024 35041116379776 46721488506368 52561674569664 70082232759552 105123349139328 140164465519104 210246698278656 420493396557312
- Sum of all divisors σ(n): 1389630230970696
- Sum of proper divisors (its aliquot sum) s(n): 969136834413384
- 420493396557312 is an abundant number, because the sum of its proper divisors (969136834413384) is greater than itself. Its abundance is 548643437856072
Bases of 420493396557312
- Binary: 10111111001101111101111111000100000111110000000002
- Hexadecimal: 0x17E6FBF883E00
- Base-36: 451VZZHQ80
Squares and roots of 420493396557312
- 420493396557312 squared (4204933965573122) is 176814696548304847333700665344
- 420493396557312 cubed (4204933965573123) is 74349412312847135461338209095197453428195328
-
The
square root of 420493396557312 is 20505935.6420845133 -
The
cube root of 420493396557312 is 74918.0376650335
Scales and comparisons
How big is 420493396557312?- 420,493,396,557,312 seconds is equal to 13,370,389 years, 17 weeks, 4 days, 9 hours, 55 minutes, 12 seconds.
-
To count from 1 to 420,493,396,557,312 would take you about thirty-three million, four hundred twenty-five thousand, nine hundred seventy-three 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 420493396557312 cubic inches would be around 6243.2 feet tall.
Recreational maths with 420493396557312
- 420493396557312 backwards is 213755693394024
- The number of decimal digits it has is: 15
- The sum of 420493396557312's digits is 63
- More coming soon!
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"Number 420493396557312 - Facts about the integer". Numbermatics.com. 2024. Web. 13 June 2024.
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Numbermatics. (2024). Number 420493396557312 - Facts about the integer. Retrieved 13 June 2024, from https://numbermatics.com/n/420493396557312/
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The information we have on file for 420493396557312 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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