138220221905584
138,220,221,905,584 is an even composite number composed of six prime numbers multiplied together.
What does the number 138220221905584 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 960 divisors.
138220221905584 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of nine hundred sixty divisors.
Prime factorization of 138220221905584:
24 × 73 × 133 × 312 × 79 × 151
(2 × 2 × 2 × 2 × 7 × 7 × 7 × 13 × 13 × 13 × 31 × 31 × 79 × 151)See below for interesting mathematical facts about the number 138220221905584 from the Numbermatics database.
Names of 138220221905584
- Cardinal: 138220221905584 can be written as One hundred thirty-eight trillion, two hundred twenty billion, two hundred twenty-one million, nine hundred five thousand, five hundred eighty-four.
Scientific notation
- Scientific notation: 1.38220221905584 × 1014
Factors of 138220221905584
Divisors of 138220221905584
- Number of divisors d(n): 960
-
Complete list of divisors:
1 2 4 7 8 13 14 16 26 28 31 49 52 56 62 79 91 98 104 112 124 151 158 169 182 196 208 217 248 302 316 338 343 364 392 403 434 496 553 604 632 637 676 686 728 784 806 868 961 1027 1057 1106 1183 1208 1264 1274 1352 1372 1456 1519 1612 1736 1922 1963 2054 2114 2197 2212 2366 2416 2449 2548 2704 2744 2821 3038 3224 3472 3844 3871 3926 4108 4228 4394 4424 4459 4681 4732 4898 5096 5239 5488 5642 6076 6448 6727 7189 7399 7688 7742 7852 8216 8281 8456 8788 8848 8918 9362 9464 9796 10192 10478 10633 11284 11929 12152 12493 13351 13454 13741 14378 14798 15376 15379 15484 15704 16432 16562 16912 17143 17576 17836 18724 18928 19592 19747 20956 21266 22568 23858 24304 24986 25519 26702 26908 27097 27482 28756 29596 30758 30968 31408 31837 32767 33124 34286 35152 35672 36673 37448 39184 39494 41912 42532 45136 47089 47716 49972 50323 51038 51793 53404 53816 54194 54964 57512 57967 59192 60853 61516 61936 63674 65534 66248 68107 68572 71344 73346 74896 75919 78988 83503 83824 85064 87451 93457 94178 95432 96187 99944 100646 102076 103586 106808 107632 107653 108388 109928 115024 115934 118384 120001 121706 123032 127348 131068 132496 136214 137144 138229 145111 146692 151838 155077 157976 162409 167006 170128 173563 174902 178633 186914 188356 190864 192374 199888 201292 204152 207172 213616 215306 216776 219856 222859 229369 231868 240002 243412 246064 254696 256711 262136 272428 274288 276458 290222 293384 303676 310154 315952 324818 329623 331747 334012 347126 349804 352261 357266 369799 373828 376712 384748 402584 408304 413881 414344 425971 430612 433552 445718 458738 463736 476749 480004 486824 509392 513422 524272 531433 544856 552916 580444 584521 586768 607352 612157 620308 649636 654199 659246 663494 668024 673309 694252 699608 704522 714532 739598 747656 753424 753571 769496 791089 805168 827762 828688 840007 851942 861224 891436 917476 927472 953498 960008 973648 986947 1015777 1026844 1062866 1085539 1089712 1105832 1136863 1160888 1169042 1214704 1214941 1224314 1240616 1250431 1299272 1308398 1318492 1326988 1336048 1346618 1388504 1399216 1409044 1429064 1479196 1495312 1507142 1538992 1560013 1582178 1605583 1655524 1680014 1703884 1722448 1782872 1796977 1834952 1886443 1906996 1920016 1973894 2016001 2031554 2053688 2111317 2125732 2171078 2211664 2273726 2321776 2322229 2338084 2429882 2448628 2481232 2500862 2588593 2598544 2616796 2636984 2653976 2693236 2777008 2818088 2858128 2897167 2958392 2981797 3014284 3120026 3164356 3211166 3311048 3337243 3360028 3407768 3565744 3593954 3669904 3720031 3772886 3813992 3947788 4032002 4063108 4091647 4107376 4222634 4251464 4285099 4342156 4547452 4579393 4644458 4676168 4807387 4859764 4897256 5001724 5177186 5233592 5273968 5307952 5380453 5386472 5537623 5636176 5794334 5916784 5963594 6028568 6240052 6328712 6422332 6622096 6674486 6720056 6815536 6908629 7110439 7187908 7440062 7545772 7598773 7627984 7895576 7958041 8064004 8126216 8183294 8445268 8502928 8504587 8570198 8684312 8753017 9094904 9158786 9288916 9352336 9614774 9719528 9794512 10003448 10284157 10354372 10467184 10760906 10772944 10920091 11075246 11463769 11588668 11927188 12057136 12480104 12657424 12830311 12844664 13205101 13348972 13440112 13817258 14112007 14220878 14375816 14779219 14880124 15091544 15197546 15791152 15916082 16128008 16252432 16255603 16366588 16890536 17009174 17140396 17368624 17506034 18120151 18189808 18317572 18577832 19229548 19439056 20006896 20280169 20568314 20708744 20872579 21521812 21840182 22150492 22927538 23177336 23360701 23854376 24523759 24960208 25660622 25689328 26040217 26208013 26410202 26697944 27634516 28224014 28441756 28751632 29558438 29760248 30183088 30395092 31832164 32256016 32511206 32733176 33651709 33781072 34018348 34280792 35012068 36240302 36635144 37155664 37663171 38459096 38763361 40560338 41136628 41417488 41745158 43043624 43680364 44300984 45855076 46354672 46721402 47708752 48360403 49047518 49773073 51321244 52080434 52416026 52820404 53191411 53395888 55269032 55706287 56448028 56883512 59116876 59520496 59532109 60790184 62496031 63664328 65022412 65466352 67303418 68036696 68561584 70024136 71989099 72480604 73270288 75326342 76918192 77526722 80246383 81120676 82273256 83490316 86087248 87360728 88601968 89812177 91710152 92435707 93442804 96720806 98095036 98784049 99546146 102642488 103454533 104160868 104832052 105640808 106382822 110538064 111412574 112896056 113767024 113789221 118233752 119064218 121580368 124992062 126841057 127328656 130044824 134606836 136073392 140048272 141961183 143978198 144961208 149028997 150652684 155053444 160492766 162241352 164546512 166794043 166980632 171666313 174721456 179624354 183420304 183456091 184871414 186885608 193441612 196190072 197568098 199092292 205284976 206909066 208321736 209664104 211281616 212765644 222825148 225792112 227578442 235561963 236467504 238128436 249984124 253682114 260089648 263642197 269213672 271343527 283922366 287956396 289922416 298057994 301305368 310106888 318808867 320985532 324482704 333588086 333961264 338522821 343332626 359248708 366912182 369742828 373771216 386883224 392380144 395136196 398184584 413818132 416643472 419328208 425531288 437472217 445650296 455156884 471123926 476256872 499968248 503923693 507364228 527284394 538427344 542687054 561724681 567844732 575912792 596115988 602610736 620213776 628685239 637617734 641971064 647049949 667176172 677045642 686665252 691488343 718497416 724181731 733824364 739485656 773766448 790272392 796369168 812448403 827636264 851062576 874944434 891300592 910313768 942247852 952513744 999936496 1007847386 1014728456 1043202979 1054568788 1085374108 1123449362 1135689464 1151825584 1167558301 1192231976 1201664191 1257370478 1275235468 1283942128 1284192637 1294099898 1334352344 1354091284 1373330504 1382976686 1436994832 1448363462 1467648728 1478971312 1580544784 1624896806 1648933741 1655272528 1749888868 1820627536 1845495379 1884495704 1937376961 2015694772 2029456912 2086405958 2109137576 2170748216 2231662069 2246898724 2271378928 2335116602 2384463952 2403328382 2514740956 2550470936 2568385274 2588199796 2668704688 2708182568 2746661008 2765953372 2896726924 2935297456 3062305519 3249793612 3297867482 3499777736 3527465851 3690990758 3768991408 3874753922 3932072767 4031389544 4172811916 4218275152 4341496432 4400796673 4463324138 4493797448 4670233204 4806656764 5029481912 5100941872 5136770548 5176399592 5416365136 5531906744 5687138821 5793453848 6124611038 6499587224 6595734964 6999555472 7054931702 7302420853 7381981516 7749507844 7864145534 8062779088 8172908107 8345623832 8411649337 8801593346 8926648276 8987594896 8989348459 9340466408 9613313528 10058963824 10273541096 10352799184 11063813488 11374277642 11586907696 12249222076 12999174448 13191469928 13561638727 14109863404 14604841706 14763963032 15499015688 15621634483 15728291068 16345816214 16691247664 16823298674 17603186692 17853296552 17978696918 18680932816 19226627056 20547082192 21436138633 22748555284 24498444152 25185900493 26382939856 27123277454 28219726808 29209683412 29527926064 30998031376 31243268966 31456582136 32691632428 33646597348 35206373384 35706593104 35957393836 39809971747 42872277266 45497110568 48996888304 50371800986 51116945971 54246554908 56439453616 57210356749 58419366824 62486537932 62913164272 65383264856 67293194696 70412746768 71914787672 79619943494 85744554532 90994221136 94931471089 100743601972 102233891942 108493109816 109351441381 114420713498 116838733648 124973075864 130766529712 134586389392 143829575344 159239886988 171489109064 176301303451 189862942178 201487203944 204467783884 216986219632 218702882762 228841426996 249946151728 278669802229 318479773976 342978218128 352602606902 379725884356 402974407888 408935567768 437405765524 457682853992 557339604458 636959547952 664520297623 705205213804 759451768712 817871135536 874811531048 915365707984 1114679208916 1234109124157 1329040595246 1410410427608 1518903537424 1749623062096 2229358417832 2468218248314 2658081190492 2820820855216 4458716835664 4936436496628 5316162380984 8638763869099 9872872993256 10632324761968 17277527738198 19745745986512 34555055476396 69110110952792 138220221905584
- Sum of all divisors σ(n): 356353858560000
- Sum of proper divisors (its aliquot sum) s(n): 218133636654416
- 138220221905584 is an abundant number, because the sum of its proper divisors (218133636654416) is greater than itself. Its abundance is 79913414748832
Bases of 138220221905584
- Binary: 111110110110101111001110011101000111010101100002
- Hexadecimal: 0x7DB5E73A3AB0
- Base-36: 1CZTHRDRCG
Squares and roots of 138220221905584
- 138220221905584 squared (1382202219055842) is 19104829743628883048210381056
- 138220221905584 cubed (1382202219055843) is 2640673806632785695461210950385083094216704
-
The
square root of 138220221905584 is 11756709.6547284011 -
The
cube root of 138220221905584 is 51703.9665512175
Scales and comparisons
How big is 138220221905584?- 138,220,221,905,584 seconds is equal to 4,394,975 years, 26 weeks, 4 days, 20 hours, 53 minutes, 4 seconds.
-
To count from 1 to 138,220,221,905,584 would take you about ten million, nine hundred eighty-seven thousand, four hundred thirty-eight 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 138220221905584 cubic inches would be around 4308.7 feet tall.
Recreational maths with 138220221905584
- 138220221905584 backwards is 485509122022831
- 138220221905584 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 138220221905584's digits is 52
- More coming soon!
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The information we have on file for 138220221905584 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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