138761284812800
138,761,284,812,800 is an even composite number composed of six prime numbers multiplied together.
What does the number 138761284812800 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 1224 divisors.
138761284812800 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one thousand, two hundred twenty-four divisors.
Prime factorization of 138761284812800:
216 × 52 × 132 × 17 × 41 × 719
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 13 × 13 × 17 × 41 × 719)See below for interesting mathematical facts about the number 138761284812800 from the Numbermatics database.
Names of 138761284812800
- Cardinal: 138761284812800 can be written as One hundred thirty-eight trillion, seven hundred sixty-one billion, two hundred eighty-four million, eight hundred twelve thousand, eight hundred.
Scientific notation
- Scientific notation: 1.387612848128 × 1014
Factors of 138761284812800
Divisors of 138761284812800
- Number of divisors d(n): 1224
-
Complete list of divisors:
1 2 4 5 8 10 13 16 17 20 25 26 32 34 40 41 50 52 64 65 68 80 82 85 100 104 128 130 136 160 164 169 170 200 205 208 221 256 260 272 320 325 328 338 340 400 410 416 425 442 512 520 533 544 640 650 656 676 680 697 719 800 820 832 845 850 884 1024 1025 1040 1066 1088 1105 1280 1300 1312 1352 1360 1394 1438 1600 1640 1664 1690 1700 1768 2048 2050 2080 2132 2176 2210 2560 2600 2624 2665 2704 2720 2788 2873 2876 3200 3280 3328 3380 3400 3485 3536 3595 4096 4100 4160 4225 4264 4352 4420 5120 5200 5248 5330 5408 5440 5525 5576 5746 5752 6400 6560 6656 6760 6800 6929 6970 7072 7190 8192 8200 8320 8450 8528 8704 8840 9061 9347 10240 10400 10496 10660 10816 10880 11050 11152 11492 11504 12223 12800 13120 13312 13325 13520 13600 13858 13940 14144 14365 14380 16384 16400 16640 16900 17056 17408 17425 17680 17975 18122 18694 20480 20800 20992 21320 21632 21760 22100 22304 22984 23008 24446 25600 26240 26624 26650 27040 27200 27716 27880 28288 28730 28760 29479 32768 32800 33280 33800 34112 34645 34816 34850 35360 35950 36244 37388 40960 41600 41984 42640 43264 43520 44200 44608 45305 45968 46016 46735 48892 51200 52480 53248 53300 54080 54400 55432 55760 56576 57460 57520 58958 61115 65536 65600 66560 67600 68224 69290 69632 69700 70720 71825 71900 72488 74776 81920 83200 83968 85280 86528 87040 88400 89216 90610 91936 92032 93470 97784 102400 104960 106496 106600 108160 108800 110864 111520 113152 114920 115040 117793 117916 121511 122230 131200 133120 135200 136448 138580 139264 139400 141440 143650 143800 144976 147395 149552 158899 163840 166400 167936 170560 173056 173225 174080 176800 178432 181220 183872 184064 186940 195568 204800 209920 212992 213200 216320 217600 221728 223040 226304 226525 229840 230080 233675 235586 235832 243022 244460 262400 266240 270400 272896 277160 278528 278800 282880 287300 287600 289952 294790 299104 305575 317798 327680 332800 335872 341120 346112 346450 348160 353600 356864 362440 367744 368128 373880 383227 391136 409600 419840 425984 426400 432640 435200 443456 446080 452608 453050 459680 460160 467350 471172 471664 486044 488920 501143 524800 532480 540800 545792 554320 557056 557600 565760 574600 575200 579904 588965 589580 598208 607555 611150 635596 665600 671744 682240 692224 692900 696320 707200 713728 724880 735488 736256 736975 747760 766454 782272 794495 819200 839680 851968 852800 865280 870400 886912 892160 905216 906100 919360 920320 934700 942344 943328 972088 977840 1002286 1049600 1064960 1081600 1091584 1108640 1114112 1115200 1131520 1149200 1150400 1159808 1177930 1179160 1196416 1215110 1222300 1271192 1331200 1343488 1364480 1384448 1385800 1392640 1414400 1427456 1449760 1470976 1472512 1473950 1495520 1532908 1564544 1588990 1638400 1679360 1705600 1730560 1740800 1773824 1784320 1810432 1812200 1838720 1840640 1869400 1884688 1886656 1916135 1944176 1955680 2004572 2065687 2099200 2129920 2163200 2183168 2217280 2230400 2263040 2298400 2300800 2319616 2355860 2358320 2392832 2430220 2444600 2505715 2542384 2662400 2686976 2728960 2768896 2771600 2785280 2828800 2854912 2899520 2941952 2944825 2945024 2947900 2991040 3037775 3065816 3129088 3177980 3358720 3411200 3461120 3481600 3547648 3568640 3620864 3624400 3677440 3681280 3738800 3769376 3773312 3832270 3888352 3911360 3972475 4009144 4131374 4198400 4259840 4326400 4366336 4434560 4460800 4526080 4596800 4601600 4639232 4711720 4716640 4785664 4860440 4889200 4981951 5011430 5084768 5324800 5457920 5537792 5543200 5570560 5657600 5709824 5799040 5883904 5889650 5890048 5895800 5982080 6075550 6131632 6258176 6355960 6514859 6717440 6822400 6922240 6963200 7095296 7137280 7241728 7248800 7354880 7362560 7477600 7538752 7546624 7664540 7776704 7822720 7944950 8018288 8262748 8396800 8652800 8732672 8869120 8921600 9052160 9193600 9203200 9278464 9423440 9433280 9571328 9580675 9720880 9778400 9963902 10022860 10169536 10328435 10649600 10915840 11075584 11086400 11315200 11419648 11598080 11767808 11779300 11780096 11791600 11964160 12151100 12263264 12516352 12528575 12711920 13029718 13434880 13644800 13844480 13926400 14190592 14274560 14483456 14497600 14709760 14725120 14955200 15077504 15093248 15329080 15553408 15645440 15889900 16036576 16525496 16793600 17305600 17465344 17738240 17843200 18104320 18387200 18406400 18556928 18846880 18866560 19142656 19161350 19441760 19556800 19927804 20045720 20339072 20656870 21299200 21831680 22172800 22630400 22839296 23196160 23535616 23558600 23560192 23583200 23928320 24302200 24526528 24909755 25032704 25057150 25423840 26059436 27289600 27688960 27852800 28381184 28549120 28995200 29419520 29450240 29910400 30155008 30186496 30658160 31106816 31290880 31779800 32073152 32574295 33050992 33587200 34611200 34930688 35476480 35686400 36208640 36774400 36812800 37113856 37693760 37733120 38285312 38322700 38883520 39113600 39855608 40091440 40678144 41313740 43663360 44345600 45260800 45678592 46392320 47071232 47117200 47120384 47166400 47856640 48604400 49053056 49819510 50065408 50114300 50847680 51642175 52118872 54579200 55377920 56762368 57098240 57990400 58839040 58900480 59820800 60310016 60372992 61316320 62213632 62581760 63559600 64146304 65148590 66101984 67174400 69222400 70952960 71372800 72417280 73548800 73625600 74227712 75387520 75466240 76570624 76645400 77767040 78227200 79711216 80182880 81356288 82627480 84693167 87326720 88691200 90521600 92784640 94142464 94234400 94332800 95713280 97208800 98106112 99639020 100130816 100228600 101695360 103284350 104237744 109158400 113524736 114196480 115980800 117678080 117800960 119641600 120620032 120745984 122632640 124427264 124548775 125163520 127119200 128292608 130297180 132203968 138444800 141905920 142745600 147097600 147251200 148455424 150775040 150932480 153141248 153290800 155534080 156454400 159422432 160365760 162712576 162871475 165254960 169386334 174653440 177382400 181043200 185569280 188284928 188468800 188665600 191426560 194417600 196212224 199278040 200261632 200457200 203390720 206568700 208475488 218316800 227049472 228392960 231961600 235356160 235601920 239283200 241240064 241491968 245265280 248854528 249097550 250327040 254238400 256585216 260594360 264407936 276889600 283811840 285491200 294195200 294502400 296910848 301550080 301864960 306282496 306581600 311068160 312908800 318844864 320731520 325425152 325742950 330509920 338772668 354764800 362086400 371138560 376937600 377331200 382853120 388835200 392424448 398556080 400523264 400914400 406781440 413137400 416950976 423465835 436633600 454098944 463923200 470712320 478566400 482480128 482983936 490530560 497709056 498195100 500654080 508476800 513170432 521188720 528815872 567623680 570982400 588390400 589004800 593821696 603100160 603729920 612564992 613163200 622136320 625817600 637689728 641463040 650850304 651485900 661019840 677545336 709529600 742277120 753875200 754662400 765706240 777670400 784848896 797112160 801046528 801828800 813562880 826274800 833901952 846931670 873267200 927846400 941424640 957132800 964960256 965967872 981061120 995418112 996390200 1001308160 1016953600 1026340864 1042377440 1057631744 1135247360 1141964800 1176780800 1178009600 1206200320 1207459840 1226326400 1244272640 1251635200 1275379456 1282926080 1301700608 1302971800 1322039680 1355090672 1419059200 1484554240 1507750400 1509324800 1531412480 1555340800 1569697792 1594224320 1603657600 1627125760 1652549600 1667803904 1693863340 1855692800 1914265600 1929920512 1931935744 1962122240 1990836224 1992780400 2002616320 2033907200 2052681728 2084754880 2115263488 2117329175 2270494720 2353561600 2412400640 2414919680 2452652800 2488545280 2503270400 2550758912 2565852160 2603401216 2605943600 2644079360 2710181344 2838118400 2969108480 3015500800 3018649600 3062824960 3110681600 3139395584 3188448640 3207315200 3254251520 3305099200 3335607808 3387726680 3711385600 3828531200 3859841024 3924244480 3981672448 3985560800 4005232640 4067814400 4105363456 4169509760 4230526976 4234658350 4707123200 4824801280 4829839360 4905305600 4977090560 5006540800 5101517824 5131704320 5206802432 5211887200 5288158720 5420362688 5676236800 6031001600 6037299200 6221363200 6278791168 6376897280 6414630400 6508503040 6610198400 6671215616 6775453360 7422771200 7657062400 7719682048 7848488960 7963344896 7971121600 8135628800 8210726912 8339019520 8461053952 8469316700 9649602560 9659678720 9810611200 9954181120 10013081600 10203035648 10263408640 10413604864 10423774400 10576317440 10840725376 11352473600 12062003200 12074598400 12442726400 12557582336 12753794560 12829260800 13017006080 13220396800 13342431232 13550906720 14845542400 15314124800 15696977920 15942243200 16271257600 16421453824 16678039040 16922107904 16938633400 19299205120 19621222400 19908362240 20026163200 20406071296 20526817280 20847548800 21152634880 21681450752 24124006400 24149196800 24885452800 25115164672 25507589120 25658521600 26034012160 26440793600 26684862464 27101813440 31393955840 31884486400 32542515200 32842907648 33356078080 33844215808 33877266800 38598410240 39242444800 39816724480 40812142592 41053634560 41695097600 42305269760 43362901504 48248012800 48298393600 49770905600 51015178240 51317043200 52068024320 52881587200 53369724928 54203626880 62787911680 63768972800 65085030400 66712156160 67688431616 67754533600 78484889600 81624285184 82107269120 83390195200 84610539520 86725803008 96496025600 99541811200 102030356480 102634086400 105763174400 106739449856 108407253760 125575823360 127537945600 130170060800 133424312320 135376863232 135509067200 156969779200 163248570368 164214538240 166780390400 169221079040 173451606016 192992051200 199083622400 204060712960 205268172800 211526348800 213478899712 216814507520 255075891200 260340121600 266848624640 271018134400 313939558400 326497140736 333560780800 338442158080 346903212032 408121425920 410536345600 423052697600 426957799424 433629015040 510151782400 533697249280 542036268800 627879116800 667121561600 676884316160 693806424064 816242851840 821072691200 846105395200 867258030080 1020303564800 1067394498560 1084072537600 1334243123200 1387612848128 1632485703680 1692210790400 1734516060160 2040607129600 2134788997120 2168145075200 2668486246400 2775225696256 3384421580800 3469032120320 4081214259200 4336290150400 5336972492800 5550451392512 6938064240640 8162428518400 8672580300800 10673944985600 13876128481280 17345160601600 27752256962560 34690321203200 69380642406400 138761284812800
- Sum of all divisors σ(n): 404737727002560
- Sum of proper divisors (its aliquot sum) s(n): 265976442189760
- 138761284812800 is an abundant number, because the sum of its proper divisors (265976442189760) is greater than itself. Its abundance is 127215157376960
Bases of 138761284812800
- Binary: 111111000110011111000010001011100000000000000002
- Hexadecimal: 0x7E33E1170000
- Base-36: 1D6Q1Y9MGW
Squares and roots of 138761284812800
- 138761284812800 squared (1387612848128002) is 19254694162898999931043840000
- 138761284812800 cubed (1387612848128003) is 2671806100721385808351861842642993152000000
-
The
square root of 138761284812800 is 11779697.9932763981 -
The
cube root of 138761284812800 is 51771.3437516923
Scales and comparisons
How big is 138761284812800?- 138,761,284,812,800 seconds is equal to 4,412,179 years, 33 weeks, 2 days, 53 minutes, 20 seconds.
-
To count from 1 to 138,761,284,812,800 would take you about eleven million, thirty thousand, four hundred forty-nine 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 138761284812800 cubic inches would be around 4314.3 feet tall.
Recreational maths with 138761284812800
- 138761284812800 backwards is 008218482167831
- The number of decimal digits it has is: 15
- The sum of 138761284812800's digits is 59
- 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 138761284812800 - Facts about the integer". Numbermatics.com. 2024. Web. 1 May 2024.
APA style:
Numbermatics. (2024). Number 138761284812800 - Facts about the integer. Retrieved 1 May 2024, from https://numbermatics.com/n/138761284812800/
Chicago style:
Numbermatics. 2024. "Number 138761284812800 - Facts about the integer". https://numbermatics.com/n/138761284812800/
The information we have on file for 138761284812800 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 138761284812800, math, Factors of 138761284812800, curriculum, school, college, exams, university, Prime factorization of 138761284812800, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty-eight trillion, seven hundred sixty-one billion, two hundred eighty-four million, eight hundred twelve thousand, eight hundred.