138016086112800
138,016,086,112,800 is an even composite number composed of eight prime numbers multiplied together.
138016086112800 is an even composite number. It is composed of eight distinct prime numbers multiplied together. It has a total of one thousand, seven hundred twenty-eight divisors.
Prime factorization of 138016086112800:
25 × 32 × 52 × 7 × 29 × 71 × 281 × 4733
(2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 5 × 7 × 29 × 71 × 281 × 4733)See below for interesting mathematical facts about the number 138016086112800 from the Numbermatics database.
Names of 138016086112800
- Cardinal: 138016086112800 can be written as One hundred thirty-eight trillion, sixteen billion, eighty-six million, one hundred twelve thousand, eight hundred.
Scientific notation
- Scientific notation: 1.380160861128 × 1014
Factors of 138016086112800
Divisors of 138016086112800
- Number of divisors d(n): 1728
-
Complete list of divisors:
1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 20 21 24 25 28 29 30 32 35 36 40 42 45 48 50 56 58 60 63 70 71 72 75 80 84 87 90 96 100 105 112 116 120 126 140 142 144 145 150 160 168 174 175 180 200 203 210 213 224 225 232 240 252 261 280 281 284 288 290 300 315 336 348 350 355 360 400 406 420 426 435 450 464 480 497 504 522 525 560 562 568 580 600 609 630 639 672 696 700 710 720 725 800 812 840 843 852 870 900 928 994 1008 1015 1044 1050 1065 1120 1124 1136 1160 1200 1218 1260 1278 1305 1392 1400 1405 1420 1440 1450 1491 1575 1624 1680 1686 1704 1740 1775 1800 1827 1967 1988 2016 2030 2059 2088 2100 2130 2175 2248 2272 2320 2400 2436 2485 2520 2529 2556 2610 2784 2800 2810 2840 2900 2982 3045 3150 3195 3248 3360 3372 3408 3480 3550 3600 3654 3934 3976 4060 4118 4176 4200 4215 4260 4350 4473 4496 4640 4733 4872 4970 5040 5058 5075 5112 5220 5325 5600 5620 5680 5800 5901 5964 6090 6177 6300 6390 6496 6525 6744 6816 6960 7025 7100 7200 7308 7455 7868 7952 8120 8149 8236 8352 8400 8430 8520 8700 8946 8992 9135 9466 9744 9835 9940 10080 10116 10150 10224 10295 10440 10650 11240 11360 11600 11802 11928 12180 12354 12425 12600 12645 12780 13050 13488 13920 14050 14199 14200 14413 14616 14910 15225 15736 15904 15975 16240 16298 16472 16800 16860 17040 17400 17703 17892 18270 18531 18932 19488 19670 19880 19951 20232 20300 20448 20590 20880 21075 21300 22365 22480 23200 23604 23665 23856 24360 24447 24708 24850 25200 25290 25560 26100 26976 28100 28398 28400 28826 29232 29505 29820 30450 30885 31472 31950 32480 32596 32944 33131 33720 34080 34800 35406 35784 36540 37062 37275 37864 39340 39760 39902 40464 40600 40745 41180 41760 42150 42597 42600 43239 44730 44960 45675 47208 47330 47712 48720 48894 49175 49416 49700 50400 50580 51120 51475 52200 56200 56796 56800 57043 57652 58464 59010 59640 59853 60900 61770 62944 63225 63900 65192 65888 66262 67440 69600 70812 70995 71568 72065 73080 73341 74124 74550 75728 78680 79520 79804 80928 81200 81490 82360 84300 85194 85200 86478 88515 89460 91350 92655 94416 94660 97440 97788 98350 98832 99393 99400 99755 101160 102240 102950 104400 111825 112400 113592 114086 115304 118020 118325 119280 119706 121800 122235 123540 126450 127800 129717 130384 132524 134880 137257 139657 141624 141990 143136 144130 146160 146682 147525 148248 149100 151456 154425 157360 159608 162400 162980 164720 165655 168600 170388 170400 171129 172956 177030 178920 179559 182700 185310 188832 189320 195576 196700 197664 198786 198800 199510 202320 203725 205900 208800 212985 216195 223650 224800 227184 228172 230608 236040 236650 238560 239412 243600 244470 247080 252900 255600 259434 260768 265048 274514 279314 283248 283980 285215 288260 292320 293364 295050 296496 298179 298200 299265 308850 314720 319216 325960 329440 331310 336043 337200 340776 342258 345912 354060 354975 357840 359118 360325 365400 366705 370620 378640 391152 393400 397572 397600 399020 404640 407450 411771 411800 418971 425970 432390 442575 447300 454368 456344 461216 463275 472080 473300 478824 487200 488940 494160 496965 498775 505800 511200 513387 518868 530096 549028 558628 566496 567960 570430 576520 578579 586728 590100 592992 596358 596400 598530 611175 617700 638432 648585 651920 662620 672086 674400 681552 684516 686285 691824 698285 708120 709950 715680 718236 720650 730800 733410 741240 757280 782304 786800 795144 798040 814900 823542 823600 828275 837942 851940 855645 864780 885150 894600 897795 912688 926550 944160 946600 957648 960799 977880 988320 993930 997550 1008129 1011600 1026774 1037736 1060192 1064925 1080975 1098056 1117256 1135920 1140860 1153040 1157158 1173456 1180200 1192716 1192800 1197060 1222350 1235313 1235400 1256913 1297170 1303840 1325240 1329973 1344172 1363104 1369032 1372570 1383648 1396570 1416240 1419900 1426075 1436472 1441300 1461600 1466820 1482480 1490895 1496325 1573600 1590288 1596080 1629800 1647084 1647200 1656550 1675884 1680215 1703880 1711290 1729560 1735737 1770300 1789200 1795590 1825376 1833525 1853100 1893200 1915296 1921598 1955760 1987860 1995100 2016258 2023200 2053548 2058855 2075472 2094855 2129850 2161950 2196112 2234512 2271840 2281720 2306080 2314316 2346912 2352301 2360400 2385432 2394120 2444700 2470626 2470800 2484825 2513826 2566935 2594340 2650480 2659946 2688344 2738064 2745140 2793140 2832480 2839800 2852150 2872944 2882397 2882600 2892895 2933640 2964960 2981790 2992650 3024387 3180576 3192160 3242925 3259600 3294168 3313100 3351768 3360430 3407760 3422580 3431425 3459120 3471474 3491425 3540600 3578400 3591180 3667050 3706200 3786400 3843196 3911520 3975720 3989919 3990200 4032516 4050053 4107096 4117710 4150944 4189710 4259700 4278225 4323900 4392224 4469024 4488975 4563440 4628632 4704602 4720800 4770864 4788240 4803995 4889400 4941252 4941600 4969650 5027652 5040645 5133870 5188680 5207211 5300960 5319892 5376688 5476128 5490280 5586280 5679600 5704300 5745888 5764794 5765200 5785790 5867280 5963580 5985300 6048774 6176565 6284565 6485850 6519200 6588336 6626200 6649865 6703536 6720860 6815520 6845160 6862850 6918240 6942948 6982850 7056903 7081200 7182360 7334100 7412400 7454475 7686392 7951440 7979838 7980400 8065032 8100106 8214192 8235420 8379420 8401075 8519400 8556450 8647191 8647800 8678685 8977950 9126880 9257264 9309811 9409204 9541728 9576480 9607990 9745247 9778800 9882504 9939300 10055304 10081290 10267740 10294275 10377360 10414422 10474275 10639784 10753376 10980560 11172560 11359200 11408600 11529588 11530400 11571580 11734560 11761505 11927160 11969757 11970600 12097548 12150159 12353130 12569130 12834675 12971700 13176672 13252400 13299730 13407072 13441720 13690320 13725700 13885896 13965700 14113806 14162400 14364720 14411985 14464475 14668200 14824800 14908950 15121935 15372784 15902880 15959676 15960800 16130064 16200212 16428384 16470840 16758840 16802150 17038800 17112900 17294382 17295600 17357370 17955900 18514528 18619622 18818408 19215980 19490494 19557600 19765008 19878600 19949595 20110608 20162580 20250265 20535480 20588550 20754720 20828844 20948550 21170709 21279568 21961120 22345120 22817200 23059176 23143160 23523010 23854320 23939514 23941200 24019975 24195096 24300318 24706260 25138260 25203225 25669350 25943400 26036055 26504800 26599460 26883440 27380640 27451400 27771792 27929433 27931400 28227612 28729440 28823970 28928950 29235741 29336400 29817900 30243870 30745568 30882825 31422825 31919352 32260128 32400424 32941680 33249325 33517680 33604300 34077600 34225800 34588764 34591200 34714740 35284515 35911800 36450477 37239244 37636816 38431960 38569217 38980988 39530016 39757200 39899190 40221216 40325160 40500530 41070960 41177100 41657688 41897100 42341418 42559136 43235955 43393425 45634400 46118352 46286320 46549055 47046020 47708640 47879028 47882400 48039950 48390192 48600636 48726235 49412520 50276520 50406450 51338700 51886800 52072110 53198920 53766880 54902800 55543584 55858866 55862800 56455224 57647940 57857900 58471482 58672800 58807525 59635800 59848785 60487740 60750795 61765650 62845650 63838704 64800848 65883360 66498650 67035360 67208600 68216729 68451600 69177528 69429480 70569030 71823600 72059925 72900954 74478488 75273632 75609675 76863920 77138434 77961976 79514400 79798380 80650320 81001060 82141920 82354200 83315376 83788299 83794200 84682836 86471910 86786850 87707223 92236704 92572640 93098110 94092040 94428083 95758056 96079900 96780384 97201272 97452470 98825040 99747975 100553040 100812900 101251325 102677400 103773600 104144220 105853545 106397840 109805600 111717732 111725600 112910448 115295880 115707651 115715800 116942964 117615050 119271600 119697570 120975480 121501590 123531300 125691300 127677408 129601696 130180275 132997300 134417200 136433458 136903200 138355056 138858960 139647165 141138060 143647200 144119850 145801908 146178705 148956976 151219350 153727840 154276868 155923952 159596760 161300640 162002120 164708400 166630752 167576598 167588400 169365672 172943820 173573700 175414446 176422575 182252385 186196220 188184080 188856166 191516112 192159800 192846085 194402544 194904940 197650080 199495950 201106080 201625800 202502650 204650187 205354800 208288440 211707090 212795680 216179775 223435464 225820896 230591760 231415302 231431600 232745275 233885928 235230100 238543200 239395140 241950960 243003180 243631175 247062600 251382600 260360550 265994600 268834400 269984519 272866916 276710112 277717920 279294330 282276120 283284249 288239700 291603816 292357410 297913952 299243925 302438700 303753975 308553736 311847904 319193520 324004240 329416800 335153196 335176800 338731344 341083645 345887640 347122953 347147400 350828892 352845150 364504770 372392440 376368160 377712332 383032224 384319600 385692170 388805088 389809880 398991900 403251600 405005300 409300374 410709600 416576880 418941495 423414180 432359550 438536115 446870928 461183520 462830604 462863200 465490550 467771856 470460200 472140415 478790280 483901920 486006360 487262350 494125200 502765200 520721100 529267725 531989200 539969038 545733832 558588660 564552240 566568498 576479400 578538255 583207632 584714820 598487850 604877400 607507950 613950561 617107472 638387040 648008480 660996581 670306392 677462688 682167290 691775280 694245906 694294800 698235825 701657784 705690300 729009540 730893525 744784880 755424664 768639200 771384340 779619760 797983800 806503200 809953557 810010600 818600748 833153760 837882990 846828360 849852747 864719100 877072230 893741856 911261925 925661208 930981100 935543712 940920400 944280830 957580560 964230425 972012720 974524700 988250400 1005530400 1023250935 1041442200 1058535450 1063978400 1079938076 1091467664 1117177320 1129104480 1133136996 1152958800 1157076510 1166415264 1169429640 1196975700 1209754800 1215015900 1227901122 1234214944 1321993162 1340612784 1349922595 1364334580 1383550560 1388491812 1388589600 1396471650 1403315568 1411380600 1416421245 1458019080 1461787050 1489569760 1510849328 1542768680 1559239520 1595967600 1619907114 1620021200 1637201496 1675765980 1693656720 1699705494 1705418225 1729438200 1735614765 1754144460 1822523850 1851322416 1861962200 1881840800 1888561660 1915161120 1928460850 1944025440 1949049400 1982989743 2046501870 2082884400 2094707475 2117070900 2159876152 2182935328 2192680575 2234354640 2266273992 2305917600 2314153020 2338859280 2360702075 2393951400 2419509600 2429860671 2430031800 2455802244 2643986324 2681225568 2699845190 2728669160 2738414407 2776983624 2792943300 2806631136 2822761200 2832842490 2892691275 2916038160 2923574100 3021698656 3069752805 3085537360 3191935200 3239814228 3240042400 3274402992 3304982905 3351531960 3387313440 3399410988 3410836450 3458876400 3471229530 3508288920 3645047700 3702644832 3723924400 3777123320 3856921700 3898098800 3965979486 4049767785 4093003740 4165768800 4189414950 4234141800 4249263735 4319752304 4385361150 4468709280 4532547984 4628306040 4677718560 4721404150 4787902800 4859721342 4860063600 4911604488 5116254675 5287972648 5399690380 5457338320 5476828814 5553967248 5585886600 5645522400 5665684980 5785382550 5832076320 5847148200 5948969229 6139505610 6171074720 6479628456 6548805984 6609965810 6703063920 6749612975 6798821976 6821672900 6917752800 6942459060 7016577840 7082106225 7290095400 7447848800 7554246640 7713843400 7796197600 7931958972 8099535570 8186007480 8215243221 8378829900 8468283600 8498527470 8639504608 8678073825 8770722300 9065095968 9256612080 9442808300 9575805600 9719442684 9720127200 9823208976 9914948715 10232509350 10575945296 10799380760 10914676640 10953657628 11107934496 11171773200 11331369960 11570765100 11694296400 11897938458 12149303355 12279011220 12959256912 13219931620 13406127840 13499225950 13597643952 13643345800 13692072035 13884918120 14033155680 14164212450 14580190800 15108493280 15348764025 15427686800 15863917944 16199071140 16372014960 16430486442 16524914525 16757659800 16936567200 16997054940 17356147650 17541444600 18513224160 18885616600 19168900849 19438885368 19646417952 19829897430 20248838925 20465018700 21151890592 21246318675 21598761520 21907315256 22343546400 22662739920 23141530200 23388592800 23795876916 24298606710 24558022440 24645729663 25918513824 26439863240 26998451900 27195287904 27286691600 27384144070 27769836240 28328424900 29160381600 29744846145 30697528050 30855373600 31727835888 32398142280 32744029920 32860972884 33049829050 33515319600 33994109880 34712295300 35082889200 37771233200 38337801698 38877770736 39659794860 40497677850 40930037400 41076216105 42492637350 43197523040 43814630512 45325479840 46283060400 47591753832 48597213420 49116044880 49291459326 49574743575 52879726480 53996903800 54573383200 54768288140 55539672480 56656849800 57506702547 59489692290 60746516775 61395056100 63455671776 64796284560 65721945768 66099658100 67030639200 67988219760 68460360175 69424590600 70165778400 75542466400 76675603396 77755541472 79319589720 80995355700 81860074800 82152432210 84985274700 87629261024 92566120800 95183507664 95844504245 97194426840 98232089760 98582918652 99149487150 105759452960 107993807600 109536576280 113313699600 115013405094 118979384580 121493033550 122790112200 123228648315 129592569120 131443891536 132199316200 135976439520 136920720350 138849181200 148724230725 153351206792 158639179440 161990711400 163720149600 164304864420 169970549400 172520107641 190367015328 191689008490 194388853680 197165837304 198298974300 205381080525 215987615200 219073152560 226627399200 230026810188 237958769160 242986067100 245580224400 246457296630 262887783072 264398632400 273841440700 277698362400 287533512735 297448461450 306702413584 317278358880 323981422800 328609728840 339941098800 345040215282 383378016980 388777707360 394331674608 396597948600 410762161050 438146305120 460053620376 475917538320 479222521225 485972134200 491160448800 492914593260 528797264800 547682881400 575067025470 594896922900 613404827168 616143241575 647962845600 657219457680 679882197600 690080430564 766756033960 788663349216 793195897200 821524322100 862600538205 920107240752 951835076640 958445042450 971944268400 985829186520 1095365762800 1150134050940 1189793845800 1232286483150 1314438915360 1380160861128 1437667563675 1533512067920 1586391794400 1643048644200 1725201076410 1840214481504 1916890084900 1943888536800 1971658373040 2190731525600 2300268101880 2379587691600 2464572966300 2760321722256 2875335127350 3067024135840 3286097288400 3450402152820 3833780169800 3943316746080 4313002691025 4600536203760 4759175383200 4929145932600 5520643444512 5750670254700 6572194576800 6900804305640 7667560339600 8626005382050 9201072407520 9858291865200 11501340509400 13801608611280 15335120679200 17252010764100 19716583730400 23002681018800 27603217222560 34504021528200 46005362037600 69008043056400 138016086112800
- Sum of all divisors σ(n): 585688498536960
- Sum of proper divisors (its aliquot sum) s(n): 447672412424160
- 138016086112800 is an abundant number, because the sum of its proper divisors (447672412424160) is greater than itself. Its abundance is 309656326311360
Bases of 138016086112800
- Binary: 111110110000110010111111100100100111010001000002
- Hexadecimal: 0x7D865FC93A20
- Base-36: 1CX7PQ79K0
Squares and roots of 138016086112800
- 138016086112800 squared (1380160861128002) is 19048440025895825014323840000
- 138016086112800 cubed (1380160861128003) is 2628991138928544447138919394905969152000000
-
The
square root of 138016086112800 is 11748024.7749483403 -
The
cube root of 138016086112800 is 51678.5003535649
Scales and comparisons
How big is 138016086112800?- 138,016,086,112,800 seconds is equal to 4,388,484 years, 32 weeks, 4 days, 2 hours.
-
To count from 1 to 138,016,086,112,800 would take you about ten million, nine hundred seventy-one thousand, two hundred eleven 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 138016086112800 cubic inches would be around 4306.5 feet tall.
Recreational maths with 138016086112800
- 138016086112800 backwards is 008211680610831
- 138016086112800 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 138016086112800's digits is 45
- 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 138016086112800 - Facts about the integer". Numbermatics.com. 2024. Web. 28 May 2024.
APA style:
Numbermatics. (2024). Number 138016086112800 - Facts about the integer. Retrieved 28 May 2024, from https://numbermatics.com/n/138016086112800/
Chicago style:
Numbermatics. 2024. "Number 138016086112800 - Facts about the integer". https://numbermatics.com/n/138016086112800/
The information we have on file for 138016086112800 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 138016086112800, math, Factors of 138016086112800, curriculum, school, college, exams, university, Prime factorization of 138016086112800, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty-eight trillion, sixteen billion, eighty-six million, one hundred twelve thousand, eight hundred.