38141638768640
38,141,638,768,640 is an even composite number composed of seven prime numbers multiplied together.
What does the number 38141638768640 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 1152 divisors.
38141638768640 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of one thousand, one hundred fifty-two divisors.
Prime factorization of 38141638768640:
211 × 5 × 11 × 17 × 472 × 71 × 127
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 11 × 17 × 47 × 47 × 71 × 127)See below for interesting mathematical facts about the number 38141638768640 from the Numbermatics database.
Names of 38141638768640
- Cardinal: 38141638768640 can be written as Thirty-eight trillion, one hundred forty-one billion, six hundred thirty-eight million, seven hundred sixty-eight thousand, six hundred forty.
Scientific notation
- Scientific notation: 3.814163876864 × 1013
Factors of 38141638768640
Divisors of 38141638768640
- Number of divisors d(n): 1152
-
Complete list of divisors:
1 2 4 5 8 10 11 16 17 20 22 32 34 40 44 47 55 64 68 71 80 85 88 94 110 127 128 136 142 160 170 176 187 188 220 235 254 256 272 284 320 340 352 355 374 376 440 470 508 512 517 544 568 635 640 680 704 710 748 752 781 799 880 935 940 1016 1024 1034 1088 1136 1207 1270 1280 1360 1397 1408 1420 1496 1504 1562 1598 1760 1870 1880 2032 2048 2068 2159 2176 2209 2272 2414 2540 2560 2585 2720 2794 2816 2840 2992 3008 3124 3196 3337 3520 3740 3760 3905 3995 4064 4136 4318 4352 4418 4544 4828 5080 5120 5170 5440 5588 5632 5680 5969 5984 6016 6035 6248 6392 6674 6985 7040 7480 7520 7810 7990 8128 8272 8636 8704 8789 8836 9017 9088 9656 10160 10240 10340 10795 10880 11045 11176 11264 11360 11938 11968 12032 12070 12496 12784 13277 13348 13970 14080 14960 15040 15620 15980 16256 16544 16685 17272 17408 17578 17672 18034 18176 19312 20320 20680 21590 21760 22090 22352 22528 22720 23749 23876 23936 24064 24140 24299 24992 25568 26554 26696 27940 28160 29845 29920 30080 31240 31960 32512 33088 33370 34544 34816 35156 35344 36068 36352 36707 37553 38624 40640 41360 43180 43520 43945 44180 44704 45085 45440 47498 47752 47872 48128 48280 48598 49984 51136 53108 53392 55880 56320 56729 59690 59840 60160 62480 63920 65024 65659 66176 66385 66740 69088 70312 70688 72136 72704 73414 75106 77248 81280 82720 86360 87040 87890 88360 89408 90170 90880 94996 95504 95744 96256 96560 97196 99187 99968 101473 102272 106216 106784 111760 112640 113458 118745 119380 119680 120320 121495 124960 127840 130048 131318 132352 132770 133480 138176 140624 141376 144272 145408 146828 150212 153289 154496 156839 162560 165440 172720 174080 175780 176720 178816 180340 181760 183535 187765 189992 191008 191488 193120 194392 198374 199936 202946 204544 212432 213568 223520 226916 237490 238760 239360 240640 242990 249920 255680 260096 262636 264704 265540 266960 276352 280543 281248 282752 283645 288544 293656 300424 306578 308992 313678 325120 328295 330880 345440 351560 353440 357632 360680 363520 367070 375530 379984 382016 382976 386240 388784 396748 399872 405892 409088 413083 423799 424864 427136 447040 453832 474980 477520 478720 481280 485980 495935 499840 507365 511360 525272 529408 531080 533920 552704 561086 562496 565504 567290 577088 587312 600848 613156 617984 624019 627356 650240 656590 661760 690880 703120 706880 715264 721360 727040 734140 751060 759968 764032 766445 772480 777568 784195 793496 799744 811784 818176 826166 847598 849728 854272 894080 907664 949960 955040 957440 971960 991870 999680 1014730 1022720 1050544 1058816 1062160 1067840 1105408 1116203 1122172 1124992 1131008 1134580 1154176 1174624 1201696 1226312 1235968 1248038 1254712 1300480 1313180 1323520 1381760 1402715 1406240 1413760 1430528 1442720 1468280 1502120 1519936 1528064 1532890 1544960 1555136 1568390 1586992 1599488 1623568 1636352 1652332 1686179 1695196 1699456 1708544 1725229 1788160 1815328 1899920 1910080 1914880 1943920 1983740 1999360 2029460 2045440 2065415 2101088 2118995 2124320 2135680 2210816 2232406 2244344 2249984 2262016 2269160 2308352 2349248 2403392 2452624 2471936 2496076 2509424 2626360 2647040 2666263 2763520 2805430 2812480 2827520 2861056 2885440 2936560 3004240 3039872 3056128 3065780 3085973 3089920 3110272 3120095 3136780 3173984 3247136 3304664 3372358 3390392 3398912 3417088 3450458 3576320 3630656 3799840 3820160 3887840 3967480 3998720 4058920 4090880 4130830 4202176 4237990 4248640 4271360 4421632 4464812 4488688 4499968 4524032 4538320 4616704 4661789 4698496 4769231 4806784 4905248 4992152 5018848 5252720 5294080 5332526 5527040 5581015 5610860 5624960 5655040 5770880 5873120 6008480 6079744 6112256 6131560 6171946 6179840 6220544 6240190 6273560 6347968 6494272 6609328 6744716 6780784 6797824 6834176 6900916 7152640 7204583 7261312 7599680 7640320 7775680 7934960 7997440 8117840 8181760 8261660 8404352 8430895 8475980 8497280 8542720 8626145 8929624 8977376 8999936 9076640 9233408 9323578 9396992 9538462 9613568 9810496 9984304 10037696 10505440 10665052 11054080 11162030 11221720 11249920 11310080 11541760 11746240 12016960 12159488 12224512 12263120 12343892 12359680 12441088 12480380 12547120 12695936 12988544 13218656 13331315 13489432 13561568 13595648 13801832 14305280 14409166 14522624 15199360 15280640 15429865 15551360 15869920 16235680 16523320 16808704 16861790 16951960 16994560 17085440 17252290 17859248 17954752 17999872 18153280 18466816 18647156 18793984 19076924 19227136 19620992 19918553 19968608 20075392 21010880 21330104 22108160 22324060 22443440 22499840 22620160 23083520 23308945 23492480 23846155 24033920 24318976 24526240 24687784 24882176 24960760 25094240 25391872 25977088 26437312 26662630 26978864 27123136 27191296 27603664 28818332 29045248 29328893 30398720 30561280 30859730 31102720 31739840 32471360 33046640 33617408 33723580 33903920 33989120 34170880 34504580 35718496 35909504 36022915 36306560 37294312 37587968 38153848 38454272 39241984 39837106 39937216 40150784 42021760 42660208 44648120 44886880 44999680 46167040 46617890 46984960 47692310 48067840 48637952 49052480 49375568 49764352 49921520 50188480 50783744 51954176 52461541 52874624 53325260 53957728 54246272 55207328 57636664 58090496 58657786 60797440 61122560 61719460 62205440 63479680 64942720 66093280 67234816 67447160 67807840 67978240 69009160 71436992 71819008 72045830 72613120 74588624 75175936 76307696 76908544 78483968 79250413 79674212 79874432 80301568 84043520 85320416 89296240 89773760 89999360 92334080 93235780 93969920 95384620 96135680 98104960 98751136 99592765 99843040 100376960 101567488 103908352 104923082 105749248 106650520 107915456 108492544 110414656 115273328 116180992 117315572 121594880 123438920 124410880 126959360 129885440 132186560 134469632 134894320 135615680 135956480 138018320 142873984 143638016 144091660 145226240 146644465 149177248 152615392 156967936 158500826 159348424 159748864 160603136 168087040 170640832 178592480 179547520 186471560 187939840 190769240 192271360 196209920 197502272 199185530 199686080 200753920 203134976 207816704 209846164 211498496 213301040 215830912 216985088 219104083 220829312 230546656 234631144 243189760 246877840 248821760 253918720 259770880 262307705 264373120 269788640 271231360 276036640 285747968 287276032 288183320 290452480 293288930 298354496 305230784 313935872 317001652 318696848 319497728 321206272 336174080 338615401 341281664 357184960 359095040 372943120 375879680 381538480 384542720 392419840 395004544 396252065 398371060 399372160 401507840 419692328 422996992 426602080 431661824 433970176 438208166 441658624 461093312 469262288 493755680 507837440 519541760 524615410 528746240 539577280 542462720 552073280 571495936 574552064 576366640 580904960 586577860 596708992 610461568 634003304 637393696 638995456 672348160 677230802 682563328 714369920 718190080 745886240 763076960 784839680 790009088 792504130 796742120 798744320 803015680 839384656 845993984 853204160 863323648 867940352 876416332 883317248 922186624 938524576 987511360 1015674880 1039083520 1049230820 1057492480 1079154560 1084925440 1095520415 1104146560 1142991872 1152733280 1173155720 1193417984 1220923136 1268006608 1274787392 1277990912 1354461604 1365126656 1428739840 1436380160 1491772480 1526153920 1569679360 1580018176 1585008260 1593484240 1597488640 1606031360 1678769312 1693077005 1706408320 1726647296 1752832664 1766634496 1844373248 1877049152 1975022720 2098461640 2114984960 2158309120 2169850880 2191040830 2208293120 2285983744 2305466560 2346311440 2386835968 2441846272 2536013216 2549574784 2708923208 2730253312 2857479680 2872760320 2983544960 3052307840 3160036352 3170016520 3186968480 3194977280 3357538624 3386154010 3412816640 3453294592 3505665328 3533268992 3688746496 3724769411 3754098304 3950045440 4196923280 4229969920 4316618240 4339701760 4382081660 4416586240 4610933120 4692622880 4773671936 4883692544 5072026432 5099149568 5417846416 5460506624 5714959360 5967089920 6104615680 6320072704 6340033040 6373936960 6389954560 6715077248 6772308020 6825633280 7011330656 7377492992 7449538822 7508196608 7900090880 8393846560 8633236480 8764163320 8833172480 9221866240 9385245760 9547343872 9767385088 10144052864 10198299136 10835692832 11429918720 11934179840 12209231360 12680066080 12747873920 13430154496 13544616040 13651266560 14022661312 14754985984 14899077644 15016393216 15800181760 16787693120 17266472960 17528326640 17666344960 18443732480 18623847055 18770491520 20288105728 20396598272 21671385664 23868359680 24418462720 25360132160 25495747840 26860308992 27089232080 27302533120 28045322624 29798155288 30032786432 31600363520 33575386240 35056653280 36887464960 37247694110 37540983040 40576211456 40793196544 43342771328 47736719360 48836925440 50720264320 50991495680 53720617984 54178464160 56090645248 59596310576 60065572864 67150772480 70113306560 73774929920 74495388220 75081966080 81152422912 86685542656 101440528640 101982991360 107441235968 108356928320 112181290496 119192621152 134301544960 140226613120 148990776440 150163932160 162304845824 173371085312 202881057280 203965982720 216713856640 224362580992 238385242304 268603089920 280453226240 297981552880 300327864320 346742170624 405762114560 433427713280 448725161984 476770484608 537206179840 560906452480 595963105760 693484341248 811524229120 866855426560 953540969216 1121812904960 1191926211520 1733710853120 1907081938432 2243625809920 2383852423040 3467421706240 3814163876864 4767704846080 7628327753728 9535409692160 19070819384320 38141638768640
- Sum of all divisors σ(n): 110390813245440
- Sum of proper divisors (its aliquot sum) s(n): 72249174476800
- 38141638768640 is an abundant number, because the sum of its proper divisors (72249174476800) is greater than itself. Its abundance is 34107535708160
Bases of 38141638768640
- Binary: 10001010110000100010101101010001111000000000002
- Hexadecimal: 0x22B08AD47800
- Base-36: DIQ0YXNNK
Squares and roots of 38141638768640
- 38141638768640 squared (381416387686402) is 1454784607957421855447449600
- 38141638768640 cubed (381416387686403) is 55487869002889544884157685637572460544000
-
The
square root of 38141638768640 is 6175891.7387402445 -
The
cube root of 38141638768640 is 33661.4729841087
Scales and comparisons
How big is 38141638768640?- 38,141,638,768,640 seconds is equal to 1,212,786 years, 6 weeks, 6 days, 9 hours, 57 minutes, 20 seconds.
-
To count from 1 to 38,141,638,768,640 would take you about three million, thirty-one thousand, nine hundred sixty-five 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 38141638768640 cubic inches would be around 2805.1 feet tall.
Recreational maths with 38141638768640
- 38141638768640 backwards is 04686783614183
- The number of decimal digits it has is: 14
- The sum of 38141638768640's digits is 65
- More coming soon!
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The information we have on file for 38141638768640 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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