40412438120448
40,412,438,120,448 is an even composite number composed of six prime numbers multiplied together.
What does the number 40412438120448 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 1728 divisors.
40412438120448 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one thousand, seven hundred twenty-eight divisors.
Prime factorization of 40412438120448:
211 × 33 × 192 × 232 × 43 × 89
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 19 × 19 × 23 × 23 × 43 × 89)See below for interesting mathematical facts about the number 40412438120448 from the Numbermatics database.
Names of 40412438120448
- Cardinal: 40412438120448 can be written as Forty trillion, four hundred twelve billion, four hundred thirty-eight million, one hundred twenty thousand, four hundred forty-eight.
Scientific notation
- Scientific notation: 4.0412438120448 × 1013
Factors of 40412438120448
Divisors of 40412438120448
- Number of divisors d(n): 1728
-
Complete list of divisors:
1 2 3 4 6 8 9 12 16 18 19 23 24 27 32 36 38 43 46 48 54 57 64 69 72 76 86 89 92 96 108 114 128 129 138 144 152 171 172 178 184 192 207 216 228 256 258 267 276 288 304 342 344 356 361 368 384 387 414 432 437 456 512 513 516 529 534 552 576 608 621 684 688 712 722 736 768 774 801 817 828 864 874 912 989 1024 1026 1032 1058 1068 1083 1104 1152 1161 1216 1242 1311 1368 1376 1424 1444 1472 1536 1548 1587 1602 1634 1656 1691 1728 1748 1824 1978 2047 2048 2052 2064 2116 2136 2166 2208 2304 2322 2403 2432 2451 2484 2622 2736 2752 2848 2888 2944 2967 3072 3096 3174 3204 3249 3268 3312 3382 3456 3496 3648 3827 3933 3956 4094 4104 4128 4232 4272 4332 4416 4608 4644 4761 4806 4864 4902 4968 5073 5244 5472 5504 5696 5776 5888 5934 6141 6144 6192 6348 6408 6498 6536 6624 6764 6912 6992 7296 7353 7654 7866 7912 8188 8208 8256 8303 8464 8544 8664 8832 8901 9216 9288 9522 9612 9728 9747 9804 9936 10051 10146 10488 10944 11008 11392 11481 11552 11776 11799 11868 12282 12384 12696 12816 12996 13072 13248 13528 13824 13984 14283 14592 14706 15219 15308 15523 15732 15824 16376 16416 16512 16606 16928 17088 17328 17664 17802 18423 18432 18576 18791 19044 19224 19456 19494 19608 19872 20102 20292 20976 21888 22016 22059 22747 22784 22962 23104 23552 23598 23736 24564 24768 24909 25392 25632 25992 26144 26496 26703 27056 27648 27968 28566 29184 29412 30153 30438 30616 31046 31464 31648 32129 32752 32832 33024 33212 33856 34176 34443 34656 35328 35604 36846 37152 37582 38088 38448 38893 38912 38988 39216 39744 40204 40584 41952 43776 44032 44118 45494 45568 45657 45924 46208 46569 47081 47104 47196 47472 49128 49536 49818 50784 51264 51984 52288 52992 53406 54112 55269 55296 55936 56373 57132 58368 58824 60306 60876 61232 62092 62928 63296 64258 65504 65664 66048 66424 67712 68241 68352 68886 69312 70656 71208 72713 73692 74304 74727 75164 76176 76896 77786 77976 78432 79488 80408 81168 83904 87552 88021 88064 88236 90459 90988 91136 91314 91848 92416 93138 94162 94392 94944 96387 98256 99072 99636 101568 102528 103329 103968 104576 105984 106812 108224 110538 111872 112746 114264 116679 116736 117648 120612 121752 122464 124184 125856 126592 128516 131008 131328 132096 132848 135424 136482 136704 137772 138624 139707 141243 141312 142416 145426 147384 148608 149454 150328 152352 153792 155572 155952 156864 158976 160816 162336 167808 169119 175104 176042 176472 180918 181976 182272 182628 183696 184832 186276 188324 188784 189888 190969 192774 196512 198144 199272 203136 204723 205056 206658 207936 209152 211968 213624 216448 218139 221076 223744 224181 225492 228528 233358 235296 241224 243504 244928 248368 251712 253184 257032 262016 262656 264063 264192 265696 270848 271377 272964 273408 275544 277248 279414 282486 284832 289161 290852 294768 297216 298908 300656 304704 307584 311144 311904 313728 317952 321632 324672 335616 338238 350037 350208 352084 352944 357029 361836 363952 365256 367392 369664 372552 376648 377568 379776 381938 385548 393024 396288 398544 406272 409446 410112 413316 415872 418304 419121 423729 423936 427248 432193 432896 436278 442152 447488 448362 450984 457056 466716 470592 482448 487008 489856 496736 503424 506368 507357 514064 524032 525312 528126 531392 541696 542754 545928 546816 551088 554496 558828 564972 569664 572907 578322 581704 589536 594432 597816 601312 609408 614169 615168 622288 623808 627456 635904 643264 649344 654417 671232 676476 700074 704168 705888 714058 723672 727904 730512 734784 738967 739328 745104 753296 755136 759552 763876 771096 786048 792189 792576 797088 812544 818892 820224 826632 831744 836608 838242 847458 854496 864386 865792 867483 872556 884304 894539 894976 896724 901968 914112 933432 941184 964896 974016 979712 993472 1006848 1012736 1014714 1028128 1048064 1050111 1050624 1056252 1062784 1071087 1083392 1085508 1091856 1102176 1108992 1117656 1129944 1139328 1145814 1156644 1163408 1179072 1188864 1195632 1202624 1218816 1228338 1230336 1244576 1247616 1254912 1271187 1271808 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153860708 154236528 157227264 159616872 160550304 162711936 164997216 165962112 167530752 171751488 173177856 176838016 179218944 180267008 180619092 182798848 185260032 186707376 189175552 190653486 193220424 194350368 195552256 197080008 197400576 198942768 202800384 203954892 205648704 209636352 211617792 212822496 214067072 214589952 216949248 218644164 219996288 221282816 221715009 222075648 223374336 229001984 229561344 230791062 238958592 240825456 248943168 251296128 254204648 257627232 259133824 259766784 262773344 265257024 268828416 270400512 271939856 274198272 277890048 283763328 285980229 286119936 289265664 291525552 293328384 295620012 296100864 298414152 304200576 305932338 307721416 308473056 314454528 319233744 321100608 325423872 329994432 331924224 335061504 343502976 346186593 346355712 353676032 358437888 361238184 365597696 373414752 378351104 381306972 386440848 388700736 391104512 394160016 397885536 405600768 407909784 411297408 419272704 425644992 428134144 429179904 433898496 437288328 439992576 442565632 443430018 444151296 446748672 458003968 458898507 459122688 461582124 481650912 497886336 502592256 508409296 515254464 518267648 519533568 525546688 530514048 537656832 540801024 543879712 548396544 555780096 567526656 571960458 583051104 586656768 591240024 592201728 596828304 608401152 611864676 615442832 616946112 628909056 638467488 642201216 650847744 659988864 663848448 670123008 687005952 692373186 707352064 716875776 722476368 730838363 731195392 746829504 756702208 762613944 772881696 777401472 788320032 795771072 811201536 815819568 822594816 851289984 856268288 857940687 858359808 867796992 874576656 879985152 885131264 886860036 888302592 916007936 917797014 923164248 963301824 995772672 1005184512 1016818592 1030508928 1036535296 1038559779 1039067136 1051093376 1061028096 1075313664 1087759424 1096793088 1135053312 1143920916 1166102208 1173313536 1182480048 1193656608 1216802304 1223729352 1230885664 1233892224 1257818112 1276934976 1284402432 1301695488 1319977728 1327696896 1340246016 1374011904 1384746372 1414704128 1444952736 1461676726 1493659008 1513404416 1525227888 1545763392 1554802944 1576640064 1591542144 1622403072 1631639136 1645189632 1702579968 1712536576 1715881374 1749153312 1759970304 1773720072 1776605184 1832015872 1835594028 1846328496 1926603648 1991545344 2010369024 2033637184 2061017856 2073070592 2077119558 2102186752 2122056192 2150627328 2175518848 2192515089 2193586176 2270106624 2287841832 2332204416 2364960096 2387313216 2433604608 2447458704 2461771328 2467784448 2553869952 2568804864 2603390976 2639955456 2655393792 2748023808 2769492744 2829408256 2889905472 2923353452 2987318016 3050455776 3091526784 3109605888 3153280128 3183084288 3263278272 3290379264 3405159936 3425073152 3431762748 3498306624 3519940608 3547440144 3671188056 3692656992 3853207296 3983090688 4020738048 4067274368 4122035712 4146141184 4154239116 4204373504 4244112384 4351037696 4385030178 4540213248 4575683664 4664408832 4729920192 4774626432 4867209216 4894917408 4923542656 4935568896 5107739904 5137609728 5279910912 5496047616 5538985488 5779810944 5846706904 5974636032 6100911552 6183053568 6219211776 6306560256 6366168576 6526556544 6577545267 6580758528 6810319872 6863525496 6996613248 7094880288 7342376112 7385313984 7706414592 7966181376 8134548736 8244071424 8308478232 8408747008 8488224768 8702075392 8770060356 9151367328 9328817664 9459840384 9549252864 9789834816 9847085312 9871137792 10215479808 10275219456 10559821824 11077970976 11559621888 11693413808 11949272064 12201823104 12366107136 12438423552 12613120512 12732337152 13053113088 13155090534 13620639744 13727050992 13993226496 14189760576 14684752224 14770627968 15412829184 16269097472 16488142848 16616956464 16817494016 17404150784 17540120712 18302734656 18657635328 18919680768 19098505728 19579669632 19694170624 19732635801 19742275584 20430959616 22155941952 23119243776 23386827616 23898544128 24403646208 24732214272 25226241024 25464674304 26106226176 26310181068 27454101984 27986452992 28379521152 29369504448 29541255936 30825658368 32538194944 33233912928 34808301568 35080241424 36605469312 37315270656 37839361536 38197011456 39159339264 39388341248 39465271602 40861919232 44311883904 46238487552 46773655232 48807292416 49464428544 50452482048 52212452352 52620362136 54908203968 55972905984 56759042304 58739008896 59082511872 65076389888 66467825856 70160482848 73210938624 75678723072 76394022912 78318678528 78776682496 78930543204 88623767808 92476975104 93547310464 97614584832 104424904704 105240724272 109816407936 111945811968 113518084608 117478017792 118165023744 132935651712 140320965696 146421877248 151357446144 156637357056 157861086408 177247535616 187094620928 195229169664 210481448544 219632815872 227036169216 234956035584 236330047488 265871303424 280641931392 292843754496 313274714112 315722172816 354495071232 374189241856 420962897088 439265631744 454072338432 469912071168 531742606848 561283862784 585687508992 631444345632 708990142464 748378483712 841925794176 878531263488 939824142336 1063485213696 1122567725568 1262888691264 1496756967424 1683851588352 1757062526976 2126970427392 2245135451136 2525777382528 3367703176704 4490270902272 5051554765056 6735406353408 10103109530112 13470812706816 20206219060224 40412438120448
- Sum of all divisors σ(n): 136665593064000
- Sum of proper divisors (its aliquot sum) s(n): 96253154943552
- 40412438120448 is an abundant number, because the sum of its proper divisors (96253154943552) is greater than itself. Its abundance is 55840716823104
Bases of 40412438120448
- Binary: 10010011000001010000010000010011001000000000002
- Hexadecimal: 0x24C14104C800
- Base-36: EBP7U8LC0
Squares and roots of 40412438120448
- 40412438120448 squared (404124381204482) is 1633165154839038678955720704
- 40412438120448 cubed (404124381204483) is 66000185760404527162952498498574999355392
-
The
square root of 40412438120448 is 6357077.7972625127 -
The
cube root of 40412438120448 is 34316.6604486833
Scales and comparisons
How big is 40412438120448?- 40,412,438,120,448 seconds is equal to 1,284,990 years, 27 weeks, 3 days, 7 hours, 40 minutes, 48 seconds.
-
To count from 1 to 40,412,438,120,448 would take you about three million, two hundred twelve thousand, four hundred seventy-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 40412438120448 cubic inches would be around 2859.7 feet tall.
Recreational maths with 40412438120448
- 40412438120448 backwards is 84402183421404
- The number of decimal digits it has is: 14
- The sum of 40412438120448's digits is 45
- More coming soon!
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"Number 40412438120448 - Facts about the integer". Numbermatics.com. 2024. Web. 17 June 2024.
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Numbermatics. (2024). Number 40412438120448 - Facts about the integer. Retrieved 17 June 2024, from https://numbermatics.com/n/40412438120448/
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The information we have on file for 40412438120448 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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