128808349068672
128,808,349,068,672 is an even composite number composed of six prime numbers multiplied together.
128808349068672 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of two thousand, one hundred sixty divisors.
Prime factorization of 128808349068672:
27 × 34 × 72 × 132 × 19 × 2812
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 7 × 7 × 13 × 13 × 19 × 281 × 281)See below for interesting mathematical facts about the number 128808349068672 from the Numbermatics database.
Names of 128808349068672
- Cardinal: 128808349068672 can be written as One hundred twenty-eight trillion, eight hundred eight billion, three hundred forty-nine million, sixty-eight thousand, six hundred seventy-two.
Scientific notation
- Scientific notation: 1.28808349068672 × 1014
Factors of 128808349068672
Divisors of 128808349068672
- Number of divisors d(n): 2160
-
Complete list of divisors:
1 2 3 4 6 7 8 9 12 13 14 16 18 19 21 24 26 27 28 32 36 38 39 42 48 49 52 54 56 57 63 64 72 76 78 81 84 91 96 98 104 108 112 114 117 126 128 133 144 147 152 156 162 168 169 171 182 189 192 196 208 216 224 228 234 247 252 266 273 281 288 294 304 312 324 336 338 342 351 364 378 384 392 399 416 432 441 448 456 468 494 504 507 513 532 546 562 567 576 588 608 624 637 648 672 676 684 702 728 741 756 784 798 819 832 843 864 882 896 912 931 936 988 1008 1014 1026 1053 1064 1092 1124 1134 1152 1176 1183 1197 1216 1248 1274 1296 1323 1344 1352 1368 1404 1456 1482 1512 1521 1539 1568 1596 1638 1664 1686 1728 1729 1764 1824 1862 1872 1911 1967 1976 2016 2028 2052 2106 2128 2184 2223 2248 2268 2352 2366 2394 2432 2457 2496 2529 2548 2592 2646 2688 2704 2736 2793 2808 2912 2964 3024 3042 3078 3136 3192 3211 3276 3372 3456 3458 3528 3549 3591 3648 3653 3724 3744 3822 3934 3952 3969 4032 4056 4104 4212 4256 4368 4446 4496 4536 4563 4704 4732 4788 4914 4992 5058 5096 5184 5187 5292 5339 5408 5472 5586 5616 5733 5824 5901 5928 6048 6084 6156 6272 6384 6422 6552 6669 6744 6916 7056 7098 7182 7296 7306 7371 7448 7488 7587 7644 7868 7904 7938 8064 8112 8208 8281 8379 8424 8512 8736 8892 8992 9072 9126 9408 9464 9576 9633 9828 10116 10192 10368 10374 10584 10647 10678 10773 10816 10944 10959 11172 11232 11466 11648 11802 11856 12096 12103 12168 12312 12768 12844 13104 13338 13488 13689 13769 13832 14112 14196 14364 14612 14742 14896 14976 15174 15288 15561 15736 15808 15876 16017 16224 16416 16562 16758 16848 17024 17199 17472 17703 17784 17984 18144 18252 18816 18928 19152 19266 19656 20007 20232 20384 20748 21168 21294 21356 21546 21632 21888 21918 22344 22464 22477 22761 22932 23604 23712 24192 24206 24336 24624 24843 25137 25536 25571 25688 26208 26676 26976 27378 27538 27664 28224 28392 28728 28899 29224 29484 29792 30348 30576 31122 31472 31616 31752 31941 32034 32448 32832 32877 33124 33516 33696 34398 34944 35406 35568 35968 36288 36309 36504 37373 37856 38304 38532 39312 40014 40464 40768 41307 41496 42336 42588 42712 43092 43836 44688 44928 44954 45522 45864 46683 47208 47424 47489 48051 48412 48672 49248 49686 50274 51072 51142 51376 51597 52416 53109 53352 53952 54756 55076 55328 56448 56784 57456 57798 58448 58968 59584 60696 61152 62244 62944 63504 63882 64068 64896 65664 65754 66248 67032 67392 67431 68796 69407 70812 71136 72576 72618 73008 74529 74746 75411 75712 76608 76713 77064 78624 78961 80028 80928 81536 82614 82992 84672 85176 85424 86184 86697 87672 89376 89908 91044 91728 93366 94416 94848 94978 95823 96102 96824 97344 98496 98631 99372 100548 102284 102752 103194 104832 106218 106704 107904 108927 109512 110152 110656 112119 113568 114912 115596 116896 117936 119168 121392 122304 123921 124488 125888 127008 127764 128136 131508 132496 134064 134784 134862 137592 138814 140049 141624 142272 142467 144153 145236 146016 149058 149492 150822 151424 153216 153426 154128 157248 157339 157922 159327 160056 161856 165228 165984 169344 170352 170848 172368 173394 175344 178752 178997 179816 182088 183456 186732 188832 189956 191646 192204 193648 194688 196992 197262 198744 201096 202293 204568 205504 206388 208221 212436 213408 217854 219024 220304 221312 223587 224238 227136 229824 230139 231192 233792 235872 236883 242784 244608 247842 248976 251776 254016 255528 256272 260091 261611 263016 264992 268128 269724 275184 277628 280098 283248 284544 284934 288306 290472 292032 295893 298116 298984 301644 306852 308256 314496 314678 315844 318654 320112 323712 326781 330456 331968 332423 336357 340704 341696 344736 346788 350688 357504 357994 359632 364176 366912 371763 373464 377664 379912 383292 384408 387296 394524 397488 402192 404586 409136 411008 412776 416442 424872 426816 427401 432459 435708 438048 440608 447174 448476 454272 459648 460278 462384 467584 471744 472017 473766 485568 485849 495684 497952 508032 511056 512544 520182 523222 526032 529984 536256 536991 539448 550368 552727 555256 560196 566496 569868 576612 580944 584064 591786 596232 597968 603288 606879 613704 616512 624663 629356 631688 637308 640224 653562 660912 663936 664846 670761 672714 681408 683392 689472 690417 693576 701376 710649 715988 719264 728352 733824 743526 746928 755328 759824 766584 768816 774592 784833 789048 794976 804384 809172 818272 825552 832884 849744 853632 854802 864918 871416 876096 881216 894348 896952 902291 920556 924768 943488 944034 947532 971136 971698 980343 991368 995904 997269 1009071 1022112 1025088 1026493 1040364 1046444 1052064 1059968 1072512 1073982 1078896 1100736 1105454 1110512 1115289 1120392 1132992 1139736 1153224 1161888 1183572 1192464 1195936 1206576 1213758 1227408 1233024 1249326 1258712 1263376 1274616 1280448 1282203 1307124 1321824 1329692 1341522 1345428 1362816 1378944 1380834 1387152 1402752 1416051 1421298 1431976 1438528 1456704 1457547 1487052 1493856 1500259 1519648 1533168 1537632 1549184 1569666 1578096 1589952 1608768 1610973 1618344 1636544 1651104 1658181 1665768 1699488 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886889952 893553024 904127616 905366826 909509328 919737728 927920448 936161616 955112256 955664983 960797448 972167832 979471584 1005247152 1008174048 1014175084 1023197994 1034704944 1039439232 1053181818 1061094216 1080897129 1092188552 1101905532 1114297632 1120930356 1134195804 1148853888 1164043062 1169369136 1176203056 1182519936 1193730993 1207155768 1212679104 1228712121 1248215488 1253584836 1259320608 1281063264 1296223776 1305962112 1307752082 1323228438 1330334928 1340329536 1344232064 1356191424 1358050239 1364263992 1379606592 1404242424 1414792288 1432668384 1441196172 1469207376 1485730176 1494573808 1507870728 1512261072 1521262626 1552057416 1559158848 1579772727 1591641324 1609541024 1631290752 1638282828 1671446448 1679094144 1681395534 1701293706 1708084352 1723280832 1728298368 1764304584 1773779904 1774806397 1810733652 1819018656 1855840896 1872323232 1910224512 1911329966 1921594896 1944335664 1958943168 1961628123 1984842657 2010494304 2016348096 2028350168 2046395988 2069409888 2106363636 2122188432 2161794258 2184377104 2203811064 2228595264 2241860712 2268391608 2281893939 2328086124 2338738272 2352406112 2387461986 2414311536 2425358208 2457424242 2496430976 2507169672 2518641216 2522093301 2562126528 2592447552 2615504164 2646456876 2660669856 2680659072 2712382848 2716100478 2728527984 2759213184 2808484848 2829584576 2865336768 2866994949 2882392344 2938414752 2989147616 3015741456 3024522144 3042525252 3104114832 3118317696 3159545454 3183282648 3219082048 3276565656 3342892896 3362791068 3402587412 3446561664 3528609168 3547559808 3549612794 3581192979 3621467304 3638037312 3686136363 3744646464 3822659932 3843189792 3888671328 3917886336 3923256246 3969685314 4020988608 4032696192 4056700336 4074150717 4092791976 4138819776 4212727272 4244376864 4323588516 4368754208 4407622128 4457190528 4483721424 4536783216 4563787878 4656172248 4677476544 4704812224 4774923972 4828623072 4914848484 5014339344 5037282432 5044186602 5124253056 5184895104 5231008328 5292913752 5321339712 5324419191 5432200956 5457055968 5616969696 5659169152 5730673536 5733989898 5764784688 5876829504 5884884369 5954527971 5978295232 6031482912 6049044288 6085050504 6208229664 6319090908 6366565296 6438164096 6553131312 6685785792 6725582136 6805174824 6845681817 7057218336 7099225588 7162385958 7242934608 7276074624 7372272726 7489292928 7566279903 7645319864 7686379584 7777342656 7846512492 7939370628 8041977216 8113400672 8148301434 8185583952 8277639552 8425454544 8488753728 8600984847 8647177032 8737508416 8815244256 8967442848 9073566432 9127575756 9312344496 9354953088 9409624448 9549847944 9657246144 9829696968 10028678688 10088373204 10462016656 10585827504 10642679424 10648838382 10864401912 10914111936 11058409089 11233939392 11467979796 11529569376 11753659008 11769768738 11909055942 11956590464 12062965824 12098088576 12170101008 12416459328 12423644779 12638181816 12733130592 13106262624 13371571584 13451164272 13610349648 13691363634 14114436672 14198451176 14324771916 14485869216 14744545452 15132559806 15290639728 15372759168 15554685312 15693024984 15878741256 15973257573 16226801344 16296602868 16371167904 16850909088 16977507456 17201969694 17294354064 17475016832 17630488512 17654653107 17934885696 18147132864 18255151512 18624688992 19099695888 19314492288 19659393936 20057357376 20176746408 20537045451 20924033312 21171655008 21297676764 21728803824 21828223872 22116818178 22467878784 22935959592 23059138752 23539537476 23818111884 24125931648 24340202016 24832918656 24847289558 25276363632 25466261184 25802954541 26212525248 26902328544 27220699296 27382727268 28228873344 28396902352 28649543832 28971738432 29489090904 30265119612 30581279456 31386049968 31757482512 31946515146 32453602688 32593205736 32742335808 33701818176 34403939388 34588708128 35260977024 35309306214 35869771392 36294265728 36510303024 37249377984 37270934337 38199391776 39318787872 40114714752 40353492816 41074090902 41848066624 42343310016 42595353528 43457607648 44233636356 45871919184 46118277504 47079074952 47636223768 47919772719 48680404032 49694579116 50552727264 50932522368 51605909082 52425050496 52963959321 53804657088 54441398592 54765454536 56793804704 57299087664 57943476864 58978181808 60530239224 61162558912 62772099936 63514965024 63893030292 65186411472 65484671616 67403636352 68807878776 69177416256 70618612428 73020606048 74498755968 74541868674 76398783552 77408863623 78637575744 80706985632 82148181804 83696133248 84686620032 85190707056 86915215296 88467272712 91743838368 94158149904 95272447536 95839545438 97360808064 99389158232 101105454528 103211818164 105927918642 107609314176 108882797184 109530909072 111812803011 113587609408 114598175328 117956363616 121060478448 122325117824 125544199872 127029930048 127786060584 130372822944 137615757552 138354832512 141237224856 143759318157 146041212096 149083737348 152797567104 154817727246 157275151488 161413971264 164296363608 170381414112 173830430592 176934545424 183487676736 188316299808 190544895072 191679090876 198778316464 202210909056 206423636328 211855837284 219061818144 223625606022 227175218816 229196350656 235912727232 242120956896 251088399744 254059860096 255572121168 260745645888 275231515104 282474449712 287518636314 292082424192 298167474696 309635454492 322827942528 328592727216 335438409033 340762828224 353869090848 366975353472 376632599616 381089790144 383358181752 397556632928 412847272656 423711674568 438123636288 447251212044 458392701312 471825454464 484241913792 511144242336 521491291776 550463030208 564948899424 575037272628 596334949392 619270908984 657185454432 670876818066 681525656448 707738181696 753265199232 762179580288 766716363504 795113265856 825694545312 847423349136 876247272576 894502424088 968483827584 1006315227099 1022288484672 1100926060416 1129897798848 1150074545256 1192669898784 1238541817968 1314370908864 1341753636132 1415476363392 1533432727008 1590226531712 1651389090624 1694846698272 1789004848176 2012630454198 2044576969344 2259795597696 2300149090512 2385339797568 2477083635936 2628741817728 2683507272264 3066865454016 3302778181248 3389693396544 3578009696352 4025260908396 4600298181024 4770679595136 4954167271872 5367014544528 6133730908032 6779386793088 7156019392704 8050521816792 9200596362048 9908334543744 10734029089056 14312038785408 16101043633584 18401192724096 21468058178112 32202087267168 42936116356224 64404174534336 128808349068672
- Sum of all divisors σ(n): 510084821634300
- Sum of proper divisors (its aliquot sum) s(n): 381276472565628
- 128808349068672 is an abundant number, because the sum of its proper divisors (381276472565628) is greater than itself. Its abundance is 252468123496956
Bases of 128808349068672
- Binary: 111010100100110100001111110001111101101100000002
- Hexadecimal: 0x752687E3ED80
- Base-36: 19NPQLAW00
Squares and roots of 128808349068672
- 128808349068672 squared (1288083490686722) is 16591590789796854889771843584
- 128808349068672 cubed (1288083490686723) is 2137135418056716646461017777731694858600448
-
The
square root of 128808349068672 is 11349376.5938342181 -
The
cube root of 128808349068672 is 50502.7086177375
Scales and comparisons
How big is 128808349068672?- 128,808,349,068,672 seconds is equal to 4,095,707 years, 3 weeks, 4 days, 11 hours, 31 minutes, 12 seconds.
-
To count from 1 to 128,808,349,068,672 would take you about ten million, two hundred thirty-nine thousand, two hundred sixty-seven 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 128808349068672 cubic inches would be around 4208.6 feet tall.
Recreational maths with 128808349068672
- 128808349068672 backwards is 276860943808821
- 128808349068672 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 128808349068672's digits is 72
- More coming soon!
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"Number 128808349068672 - Facts about the integer". Numbermatics.com. 2024. Web. 26 May 2024.
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Numbermatics. (2024). Number 128808349068672 - Facts about the integer. Retrieved 26 May 2024, from https://numbermatics.com/n/128808349068672/
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Numbermatics. 2024. "Number 128808349068672 - Facts about the integer". https://numbermatics.com/n/128808349068672/
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