138390016089600
138,390,016,089,600 is an even composite number composed of seven prime numbers multiplied together.
138390016089600 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of one thousand, four hundred forty divisors.
Prime factorization of 138390016089600:
29 × 32 × 52 × 11 × 43 × 97 × 26183
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 5 × 11 × 43 × 97 × 26183)See below for interesting mathematical facts about the number 138390016089600 from the Numbermatics database.
Names of 138390016089600
- Cardinal: 138390016089600 can be written as One hundred thirty-eight trillion, three hundred ninety billion, sixteen million, eighty-nine thousand, six hundred.
Scientific notation
- Scientific notation: 1.383900160896 × 1014
Factors of 138390016089600
Divisors of 138390016089600
- Number of divisors d(n): 1440
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 11 12 15 16 18 20 22 24 25 30 32 33 36 40 43 44 45 48 50 55 60 64 66 72 75 80 86 88 90 96 97 99 100 110 120 128 129 132 144 150 160 165 172 176 180 192 194 198 200 215 220 225 240 256 258 264 275 288 291 300 320 330 344 352 360 384 387 388 396 400 430 440 450 473 480 485 495 512 516 528 550 576 582 600 640 645 660 688 704 720 768 774 776 792 800 825 860 873 880 900 946 960 970 990 1032 1056 1067 1075 1100 1152 1164 1200 1280 1290 1320 1376 1408 1419 1440 1455 1536 1548 1552 1584 1600 1650 1720 1746 1760 1800 1892 1920 1935 1940 1980 2064 2112 2134 2150 2200 2304 2328 2365 2400 2425 2475 2560 2580 2640 2752 2816 2838 2880 2910 3096 3104 3168 3200 3201 3225 3300 3440 3492 3520 3600 3784 3840 3870 3880 3960 4128 4171 4224 4257 4268 4300 4365 4400 4608 4656 4730 4800 4850 4950 5160 5280 5335 5504 5632 5676 5760 5820 6192 6208 6336 6400 6402 6450 6600 6880 6984 7040 7095 7200 7275 7568 7680 7740 7760 7920 8256 8342 8448 8514 8536 8600 8730 8800 9312 9460 9600 9603 9675 9700 9900 10320 10560 10670 11008 11352 11520 11640 11825 12384 12416 12513 12672 12800 12804 12900 13200 13760 13968 14080 14190 14400 14550 15136 15480 15520 15840 16005 16512 16684 16896 17028 17072 17200 17460 17600 18624 18920 19200 19206 19350 19400 19800 20640 20855 21120 21285 21340 21825 22016 22704 23040 23280 23650 24768 24832 25026 25344 25608 25800 26183 26400 26675 27520 27936 28160 28380 28800 29100 30272 30960 31040 31680 32010 33024 33368 34056 34144 34400 34920 35200 35475 37248 37539 37840 38400 38412 38700 38800 39600 41280 41710 42240 42570 42680 43650 45408 45881 46560 47300 48015 49536 49664 50052 50688 51216 51600 52366 52800 53350 55040 55872 56760 57600 58200 60544 61920 62080 62565 63360 64020 66048 66736 68112 68288 68800 69840 70400 70950 74496 75078 75680 76824 77400 77600 78549 79200 80025 82560 83420 84480 85140 85360 87300 90816 91762 93120 94600 96030 99072 100104 102432 103200 104275 104732 105600 106425 106700 110080 111744 113520 115200 116400 121088 123840 124160 125130 126720 128040 130915 133472 136224 136576 137600 137643 139680 140800 141900 148992 150156 151360 153648 154800 155200 157098 158400 160050 165120 166840 170280 170720 174600 181632 183524 186240 187695 189200 192060 198144 200208 204864 206400 208550 209464 211200 212850 213400 223488 227040 229405 232800 235647 240075 242176 247680 248320 250260 253440 256080 261830 266944 272448 273152 275200 275286 279360 283800 288013 300312 302720 307296 309600 310400 312825 314196 316800 320100 330240 333680 340560 341440 349200 363264 367048 372480 375390 378400 384120 392745 400416 409728 412800 412929 417100 418928 422400 425700 426800 446976 454080 458810 465600 471294 480150 495360 500520 512160 523660 533888 544896 546304 550400 550572 558720 567600 576026 600624 605440 614592 619200 620800 625650 628392 633600 640200 654575 667360 681120 682880 688215 698400 726528 734096 744960 750780 756800 768240 785490 800832 819456 825600 825858 834200 837856 851400 853600 864039 908160 917620 931200 938475 942588 960300 990720 1001040 1024320 1047320 1067776 1089792 1101144 1117440 1125869 1135200 1147025 1152052 1178235 1201248 1210880 1229184 1238400 1241600 1251300 1256784 1267200 1280400 1309150 1334720 1362240 1365760 1376430 1396800 1440065 1468192 1501560 1513600 1536480 1570980 1601664 1638912 1651200 1651716 1668400 1675712 1702800 1707200 1728078 1816320 1835240 1862400 1876950 1885176 1920600 1963725 2002080 2048640 2064645 2094640 2135552 2179584 2202288 2234880 2251738 2270400 2294050 2304104 2356470 2402496 2458368 2476800 2502600 2513568 2539751 2560800 2592117 2618300 2669440 2724480 2731520 2752860 2793600 2880130 2936384 3003120 3027200 3072960 3141960 3203328 3303432 3336800 3351424 3377607 3405600 3414400 3441075 3456156 3632640 3670480 3724800 3753900 3770352 3841200 3927450 4004160 4097280 4129290 4189280 4320195 4404576 4503476 4540800 4588100 4608208 4712940 4804992 4916736 4953600 5005200 5027136 5079502 5121600 5184234 5236600 5338880 5448960 5505720 5587200 5629345 5760260 5872768 5891175 6006240 6054400 6145920 6283920 6406656 6606864 6673600 6702848 6755214 6811200 6828800 6882150 6912312 7200325 7340960 7507800 7540704 7619253 7682400 7854900 8008320 8194560 8258580 8378560 8640390 8809152 9006952 9081600 9176200 9216416 9425880 9609984 10010400 10054272 10132821 10159004 10243200 10323225 10368468 10473200 10677760 10897920 11011440 11174400 11258690 11520520 11745536 11782350 12012480 12291840 12384559 12567840 12698755 12960585 13213728 13347200 13405696 13510428 13622400 13657600 13764300 13824624 14400650 14681920 15015600 15081408 15238506 15364800 15709800 16016640 16517160 16757120 16888035 17280780 17618304 18013904 18163200 18352400 18432832 18851760 19219968 20020800 20108544 20265642 20318008 20486400 20646450 20736936 20946400 21600975 22022880 22517380 22857759 23041040 23491072 23564700 24024960 24583680 24769118 25135680 25397510 25921170 26427456 26694400 27020856 27244800 27528600 27649248 27937261 28146725 28801300 29363840 30031200 30162816 30477012 30729600 31419600 32033280 33034320 33514240 33776070 34561560 35236608 36027808 36704800 36865664 37153677 37703520 38096265 40041600 40217088 40531284 40636016 40972800 41292900 41473872 41892800 43201950 44045760 45034760 45715518 46082080 47129400 48049920 49538236 50271360 50664105 50795020 51842340 52854912 53388800 54041712 54489600 55057200 55298496 55874522 56293450 57602600 58727680 60062400 60325632 60954024 61459200 61922795 62839200 63493775 64802925 66068640 67028480 67552140 69123120 70473216 72055616 73409600 73731328 74307354 75407040 76192530 80083200 81062568 81272032 82585800 82947744 83785600 83811783 84440175 86403900 88091520 90069520 91431036 92164160 94258800 96099840 99076472 100542720 101328210 101590040 103684680 105709824 108083424 109209293 110114400 110596992 111461031 111749044 112586900 114288795 115205200 117455360 120124800 120651264 121908048 122918400 123845590 125678400 126987550 129605850 132137280 135104280 138246240 139686305 144111232 146819200 147462656 148614708 150814080 152385060 160166400 162125136 162544064 165171600 165895488 167571200 167623566 168880350 172807800 176183040 180139040 182862072 184328320 185768385 188517600 190481325 198152944 201085440 202656420 203180080 207369360 211419648 216166848 218418586 220228800 221193984 222922062 223498088 225173800 228577590 230410400 240249600 243816096 247691180 251356800 251435349 253320525 253975100 259211700 264274560 270208560 276492480 279372610 288222464 293638400 297229416 301628160 304770120 309613975 324250272 325088128 327627879 330343200 331790976 335142400 335247132 337760700 345615600 352366080 360278080 365724144 368656640 371536770 377035200 380962650 396305888 405312840 406360160 414738720 419058915 432333696 436837172 440457600 442387968 445844124 446996176 450347600 457155180 460820800 480499200 487632192 495382360 502713600 502870698 506641050 507950200 518423400 528549120 540417120 546046465 552984960 557305155 558745220 571443975 576444928 587276800 594458832 603256320 609540240 619227950 648500544 650176256 655255758 660686400 663581952 670494264 675521400 691231200 698431525 720556160 731448288 737313280 743073540 754070400 761925300 792611776 810625680 812720320 829477440 838117830 864667392 873674344 880915200 891688248 893992352 900695200 914310360 921641600 928841925 975264384 982883637 990764720 1005427200 1005741396 1013282100 1015900400 1036846800 1057098240 1080834240 1092092930 1105969920 1114610310 1117490440 1142887950 1188917664 1201302223 1219080480 1238455900 1257176745 1297001088 1300352512 1310511516 1321372800 1327163904 1340988528 1351042800 1382462400 1396863050 1441112320 1462896576 1486147080 1508140800 1523850600 1585223552 1621251360 1625440640 1638139395 1658954880 1676235660 1729334784 1747348688 1761830400 1783376496 1787984704 1801390400 1828620720 1843283200 1857683850 1950528768 1965767274 1981529440 2011482792 2026564200 2031800800 2073693600 2095294575 2161668480 2184185860 2211939840 2229220620 2234980880 2285775900 2377835328 2402604446 2438160960 2476911800 2514353490 2594002176 2621023032 2642745600 2681977056 2702085600 2730232325 2764924800 2786525775 2793726100 2882224640 2925793152 2972294160 3016281600 3047701200 3170447104 3242502720 3250881280 3276278790 3317909760 3352471320 3494697376 3566752992 3575969408 3602780800 3603906669 3657241440 3686566400 3715367700 3901057536 3931534548 3963058880 4022965584 4053128400 4063601600 4147387200 4190589150 4323336960 4368371720 4458441240 4469961760 4571551800 4755670656 4805208892 4876321920 4914418185 4953823600 5028706980 5188004352 5242046064 5285491200 5363954112 5404171200 5460464650 5529849600 5573051550 5587452200 5851586304 5944588320 6006511115 6095402400 6285883725 6340894208 6485005440 6501762560 6552557580 6635819520 6704942640 6989394752 7133505984 7151938816 7205561600 7207813338 7314482880 7430735400 7863069096 7926117760 8045931168 8106256800 8127203200 8190696975 8294774400 8381178300 8646673920 8736743440 8916882480 8939923520 9143103600 9511341312 9610417784 9752643840 9828836370 9907647200 10057413960 10484092128 10727908224 10808342400 10811720007 10920929300 11059699200 11146103100 11174904400 11703172608 11889176640 12013022230 12190804800 12571767450 12970010880 13105115160 13409885280 13978789504 14267011968 14303877632 14411123200 14415626676 14628965760 14861470800 15726138192 15852235520 16091862336 16212513600 16254406400 16381393950 16589548800 16762356600 17473486880 17833764960 17879847040 18019533345 18286207200 19022682624 19220835568 19505287680 19657672740 19815294400 20114827920 20968184256 21455816448 21616684800 21623440014 21841858600 22292206200 22349808800 23778353280 24026044460 24381609600 24572090925 25143534900 25940021760 26210230320 26819770560 27957579008 28534023936 28831253352 29257931520 29722941600 30032555575 31452276384 31704471040 32183724672 32425027200 32508812800 32762787900 33179097600 33524713200 34946973760 35667529920 35759694080 36039066690 36572414400 38441671136 39315345480 39630588800 40229655840 41936368512 42911632896 43233369600 43246880028 43683717200 44584412400 44699617600 47556706560 48052088920 48763219200 49144181850 50287069800 52420460640 53639541120 54058600035 55915158016 57068047872 57662506704 58515863040 59445883200 60065111150 62904552768 64367449344 64850054400 65525575800 67049426400 69893947520 71335059840 71519388160 72078133380 73144828800 76883342272 78630690960 79261177600 80459311680 83872737024 86493760056 87367434400 89168824800 89399235200 90097666725 95113413120 96104177840 97526438400 98288363700 100574139600 104840921280 107279082240 108117200070 115325013408 118891766400 120130222300 125809105536 128734898688 129700108800 131051151600 134098852800 139787895040 142670119680 144156266760 146289657600 153766684544 157261381920 158522355200 160918623360 167745474048 172987520112 174734868800 178337649600 178798470400 180195333450 192208355680 196576727400 201148279200 209681842560 214558164480 216234400140 230650026816 237783532800 240260444600 251618211072 262102303200 268197705600 270293000175 279575790080 285340239360 288312533520 292579315200 307533369088 314522763840 321837246720 345975040224 349469737600 356675299200 357596940800 360390666900 384416711360 393153454800 402296558400 419363685120 432468800280 461300053632 475567065600 480520889200 503236422144 524204606400 536395411200 540586000350 576625067040 615066738176 629045527680 643674493440 691950080448 698939475200 713350598400 720781333800 768833422720 786306909600 804593116800 838727370240 864937600560 922600107264 961041778400 1048409212800 1072790822400 1081172000700 1153250134080 1258091055360 1383900160896 1397878950400 1426701196800 1441562667600 1537666845440 1572613819200 1609186233600 1729875201120 1845200214528 1922083556800 2096818425600 2162344001400 2306500268160 2516182110720 2767800321792 2883125335200 3075333690880 3145227638400 3218372467200 3459750402240 3844167113600 4193636851200 4324688002800 4613000536320 5535600643584 5766250670400 6290455276800 6919500804480 7688334227200 8649376005600 9226001072640 11532501340800 12580910553600 13839001608960 15376668454400 17298752011200 23065002681600 27678003217920 34597504022400 46130005363200 69195008044800 138390016089600
- Sum of all divisors σ(n): 558568795809024
- Sum of proper divisors (its aliquot sum) s(n): 420178779719424
- 138390016089600 is an abundant number, because the sum of its proper divisors (420178779719424) is greater than itself. Its abundance is 281788763629824
Bases of 138390016089600
- Binary: 111110111011101011011111011111111011110000000002
- Hexadecimal: 0x7DDD6FBFDE00
- Base-36: 1D1ZHUGE80
Squares and roots of 138390016089600
- 138390016089600 squared (1383900160896002) is 19151796553279746875228160000
- 138390016089600 cubed (1383900160896003) is 2650417433153129993712640386071003136000000
-
The
square root of 138390016089600 is 11763928.5993072909 -
The
cube root of 138390016089600 is 51725.1294952149
Scales and comparisons
How big is 138390016089600?- 138,390,016,089,600 seconds is equal to 4,400,374 years, 23 weeks, 8 hours.
-
To count from 1 to 138,390,016,089,600 would take you about eleven million, nine hundred thirty-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 138390016089600 cubic inches would be around 4310.4 feet tall.
Recreational maths with 138390016089600
- 138390016089600 backwards is 006980610093831
- The number of decimal digits it has is: 15
- The sum of 138390016089600's digits is 54
- More coming soon!
Link to this page
HTML: To link to this page, just copy and paste the link below into your blog, web page or email.
BBCODE: To link to this page in a forum post or comment box, just copy and paste the link code below:
Cite this page
MLA style:
"Number 138390016089600 - Facts about the integer". Numbermatics.com. 2024. Web. 4 June 2024.
APA style:
Numbermatics. (2024). Number 138390016089600 - Facts about the integer. Retrieved 4 June 2024, from https://numbermatics.com/n/138390016089600/
Chicago style:
Numbermatics. 2024. "Number 138390016089600 - Facts about the integer". https://numbermatics.com/n/138390016089600/
The information we have on file for 138390016089600 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!
Keywords: Divisors of 138390016089600, math, Factors of 138390016089600, curriculum, school, college, exams, university, Prime factorization of 138390016089600, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty-eight trillion, three hundred ninety billion, sixteen million, eighty-nine thousand, six hundred.