34138132315668480
34,138,132,315,668,480 is an even composite number composed of seven prime numbers multiplied together.
What does the number 34138132315668480 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 1536 divisors.
34138132315668480 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of one thousand, five hundred thirty-six divisors.
Prime factorization of 34138132315668480:
215 × 3 × 5 × 112 × 17 × 439 × 76913
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 11 × 11 × 17 × 439 × 76913)See below for interesting mathematical facts about the number 34138132315668480 from the Numbermatics database.
Names of 34138132315668480
- Cardinal: 34138132315668480 can be written as Thirty-four quadrillion, one hundred thirty-eight trillion, one hundred thirty-two billion, three hundred fifteen million, six hundred sixty-eight thousand, four hundred eighty.
Scientific notation
- Scientific notation: 3.413813231566848 × 1016
Factors of 34138132315668480
Divisors of 34138132315668480
- Number of divisors d(n): 1536
-
Complete list of divisors:
1 2 3 4 5 6 8 10 11 12 15 16 17 20 22 24 30 32 33 34 40 44 48 51 55 60 64 66 68 80 85 88 96 102 110 120 121 128 132 136 160 165 170 176 187 192 204 220 240 242 255 256 264 272 320 330 340 352 363 374 384 408 439 440 480 484 510 512 528 544 561 605 640 660 680 704 726 748 768 816 878 880 935 960 968 1020 1024 1056 1088 1122 1210 1280 1317 1320 1360 1408 1452 1496 1536 1632 1756 1760 1815 1870 1920 1936 2040 2048 2057 2112 2176 2195 2244 2420 2560 2634 2640 2720 2805 2816 2904 2992 3072 3264 3512 3520 3630 3740 3840 3872 4080 4096 4114 4224 4352 4390 4488 4829 4840 5120 5268 5280 5440 5610 5632 5808 5984 6144 6171 6528 6585 7024 7040 7260 7463 7480 7680 7744 8160 8192 8228 8448 8704 8780 8976 9658 9680 10240 10285 10536 10560 10880 11220 11264 11616 11968 12288 12342 13056 13170 14048 14080 14487 14520 14926 14960 15360 15488 16320 16384 16456 16896 17408 17560 17952 19316 19360 20480 20570 21072 21120 21760 22389 22440 22528 23232 23936 24145 24576 24684 26112 26340 28096 28160 28974 29040 29852 29920 30720 30855 30976 32640 32768 32912 33792 34816 35120 35904 37315 38632 38720 40960 41140 42144 42240 43520 44778 44880 45056 46464 47872 48290 49152 49368 52224 52680 53119 56192 56320 57948 58080 59704 59840 61440 61710 61952 65280 65824 67584 69632 70240 71808 72435 74630 76913 77264 77440 81920 82093 82280 84288 84480 87040 89556 89760 90112 92928 95744 96580 98304 98736 104448 105360 106238 111945 112384 112640 115896 116160 119408 119680 122880 123420 123904 130560 131648 135168 139264 140480 143616 144870 149260 153826 154528 154880 159357 163840 164186 164560 168576 168960 174080 179112 179520 180224 185856 191488 193160 197472 208896 210720 212476 223890 224768 225280 230739 231792 232320 238816 239360 245760 246279 246840 247808 261120 263296 265595 270336 278528 280960 287232 289740 298520 307652 309056 309760 318714 328372 329120 337152 337920 348160 358224 359040 360448 371712 382976 384565 386320 394944 410465 417792 421440 424952 447780 449536 450560 461478 463584 464640 477632 478720 491520 492558 493680 495616 522240 526592 531190 540672 557056 561920 574464 579480 597040 615304 618112 619520 637428 656744 658240 674304 675840 696320 716448 718080 743424 765952 769130 772640 789888 796785 820930 835584 842880 846043 849904 895560 899072 901120 903023 922956 927168 929280 955264 957440 985116 987360 991232 1044480 1053184 1062380 1081344 1123840 1148928 1153695 1158960 1194080 1230608 1231395 1236224 1239040 1274856 1307521 1313488 1316480 1348608 1351680 1392640 1432896 1436160 1486848 1531904 1538260 1545280 1579776 1593570 1641860 1671168 1685760 1692086 1699808 1791120 1798144 1802240 1806046 1845912 1854336 1858560 1910528 1914880 1970232 1974720 1982464 2088960 2106368 2124760 2247680 2297856 2307390 2317920 2388160 2461216 2462790 2472448 2478080 2538129 2549712 2615042 2626976 2632960 2697216 2703360 2709069 2785280 2865792 2872320 2973696 3063808 3076520 3090560 3159552 3187140 3283720 3371520 3384172 3399616 3582240 3596288 3612092 3691824 3708672 3717120 3821056 3829760 3922563 3940464 3949440 3964928 4177920 4212736 4230215 4249520 4495360 4515115 4595712 4614780 4635840 4776320 4922432 4925580 4944896 4956160 5076258 5099424 5230084 5253952 5265920 5394432 5406720 5418138 5731584 5744640 5947392 6127616 6153040 6181120 6319104 6374280 6537605 6567440 6743040 6768344 6799232 7164480 7192576 7224184 7383648 7417344 7434240 7642112 7659520 7845126 7880928 7898880 8355840 8425472 8460430 8499040 8990720 9030230 9191424 9229560 9271680 9306473 9552640 9844864 9851160 9889792 9912320 10152516 10198848 10460168 10507904 10531840 10788864 10836276 11463168 11489280 11894784 12306080 12362240 12638208 12690645 12748560 13075210 13134880 13486080 13536688 13545345 13598464 14328960 14382731 14385152 14448368 14767296 14834688 14868480 15284224 15319040 15690252 15761856 15797760 16850944 16920860 16998080 17981440 18060460 18382848 18459120 18543360 18612946 19105280 19612815 19689728 19702320 19779584 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95081696512 95298283520 98052999528 101024302544 101254426240 103725487104 103961763840 107112120320 110208330048 110459374080 110963466240 114357940224 117823332352 118852120640 121505311488 122566249410 126280378180 128534544384 129656858880 130737332704 137760412560 138300649472 138615685120 138908415998 142622544768 142947425280 146944440064 147279165440 147951288320 151536453816 151881639360 152477253632 160668180480 162007081984 163421665880 172875811840 176734998528 178278180960 183680550080 189420567270 190163393024 190596567040 196105999056 202048605088 202508852480 207450974208 207923527680 208362623997 214224240640 220416660096 220918748160 221926932480 228715880448 235646664704 237704241280 243010622976 245132498820 252560756360 259313717760 261474665408 275520825120 276601298944 277816831996 285245089536 285894850560 293888880128 294558330880 303072907632 303763278720 304954507264 321336360960 324014163968 326843331760 345751623680 347271039995 353469997056 356556361920 367361100160 378841134540 380326786048 381193134080 392211998112 404097210176 405017704960 414901948416 415847055360 416725247994 440833320192 441837496320 443853864960 457431760896 471293329408 475408482560 486021245952 490264997640 505121512720 518627435520 522949330816 551041650240 553202597888 555633663992 570490179072 571789701120 587777760256 589116661760 606145815264 607526557440 642672721920 648028327936 653686663520 691503247360 694542079990 706939994112 713112723840 734722200320 757682269080 760653572096 762386268160 784423996224 808194420352 810035409920 829803896832 833450495988 881666640384 883674992640 914863521792 950816965120 972042491904 980529995280 1010243025440 1037254871040 1041813119985 1045898661632 1102083300480 1106405195776 1111267327984 1140980358144 1143579402240 1175555520512 1178233323520 1212291630528 1215053114880 1296056655872 1307373327040 1383006494720 1389084159980 1413879988224 1426225447680 1469444400640 1515364538160 1521307144192 1524772536320 1568847992448 1616388840704 1620070819840 1659607793664 1666900991976 1763333280768 1767349985280 1901633930240 1944084983808 1961059990560 2020486050880 2074509742080 2083626239970 2091797323264 2204166600960 2222534655968 2281960716288 2287158804480 2351111041024 2356466647040 2424583261056 2430106229760 2592113311744 2614746654080 2766012989440 2778168319960 2852450895360 2938888801280 3030729076320 3042614288384 3137695984896 3232777681408 3240141639680 3319215587328 3333801983952 3526666561536 3534699970560 3803267860480 3888169967616 3922119981120 4040972101760 4149019484160 4167252479940 4183594646528 4408333201920 4445069311936 4563921432576 4574317608960 4702222082048 4849166522112 4860212459520 5184226623488 5229493308160 5532025978880 5556336639920 5704901790720 5877777602560 6061458152640 6085228576768 6275391969792 6465555362816 6480283279360 6667603967904 7053333123072 7069399941120 7606535720960 7776339935232 7844239962240 8081944203520 8298038968320 8334504959880 8367189293056 8816666403840 8890138623872 9127842865152 9404444164096 9698333044224 9720424919040 10458986616320 11112673279840 11409803581440 11755555205120 12122916305280 12170457153536 12550783939584 12931110725632 12960566558720 13335207935808 14106666246144 15213071441920 15552679870464 15688479924480 16163888407040 16596077936640 16669009919760 16734378586112 17633332807680 17780277247744 18255685730304 18808888328192 19396666088448 19440849838080 20917973232640 22225346559680 22819607162880 23511110410240 24245832610560 25101567879168 25862221451264 25921133117440 26670415871616 28213332492288 30426142883840 31376959848960 32327776814080 33338019839520 33468757172224 35266665615360 35560554495488 36511371460608 38793332176896 38881699676160 41835946465280 44450693119360 45639214325760 47022220820480 48491665221120 50203135758336 51724442902528 53340831743232 56426664984576 60852285767680 62753919697920 64655553628160 66676039679040 66937514344448 70533331230720 71121108990976 77586664353792 77763399352320 83671892930560 88901386238720 91278428651520 94044441640960 96983330442240 100406271516672 103448885805056 106681663486464 125507839395840 129311107256320 133352079358080 133875028688896 141066662461440 142242217981952 155173328707584 167343785861120 177802772477440 182556857303040 193966660884480 200812543033344 206897771610112 213363326972928 251015678791680 258622214512640 266704158716160 282133324922880 284484435963904 310346657415168 334687571722240 355605544954880 387933321768960 401625086066688 426726653945856 502031357583360 517244429025280 533408317432320 568968871927808 620693314830336 669375143444480 711211089909760 775866643537920 853453307891712 1004062715166720 1034488858050560 1066816634864640 1137937743855616 1422422179819520 1551733287075840 1706906615783424 2008125430333440 2133633269729280 2275875487711232 2844844359639040 3103466574151680 3413813231566848 4267266539458560 5689688719278080 6827626463133696 8534533078917120 11379377438556160 17069066157834240 34138132315668480
- Sum of all divisors σ(n): 127428557224953600
- Sum of proper divisors (its aliquot sum) s(n): 93290424909285120
- 34138132315668480 is an abundant number, because the sum of its proper divisors (93290424909285120) is greater than itself. Its abundance is 59152292593616640
Bases of 34138132315668480
- Binary: 11110010100100001110011010100011111100010000000000000002
- Hexadecimal: 0x79487351F88000
- Base-36: 9C4YHHCAJ9C
Squares and roots of 34138132315668480
- 34138132315668480 squared (341381323156684802) is 1165412078002088576605309265510400
- 34138132315668480 cubed (341381323156684803) is 39784991721113455340404897409178618346384392192000
-
The
square root of 34138132315668480 is 184765073.3111333463 -
The
cube root of 34138132315668480 is 324399.3079993975
Scales and comparisons
How big is 34138132315668480?- 34,138,132,315,668,480 seconds is equal to 1,085,487,011 years, 24 weeks, 2 hours, 8 minutes.
-
To count from 1 to 34,138,132,315,668,480 would take you about three billion, two hundred fifty-six million, four hundred sixty-one thousand and thirty-four 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 34138132315668480 cubic inches would be around 27033.3 feet tall.
Recreational maths with 34138132315668480
- 34138132315668480 backwards is 08486651323183143
- 34138132315668480 is a
Harshad number . - The number of decimal digits it has is: 17
- The sum of 34138132315668480's digits is 66
- More coming soon!
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"Number 34138132315668480 - Facts about the integer". Numbermatics.com. 2024. Web. 3 June 2024.
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Numbermatics. (2024). Number 34138132315668480 - Facts about the integer. Retrieved 3 June 2024, from https://numbermatics.com/n/34138132315668480/
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The information we have on file for 34138132315668480 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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