138806678444000
138,806,678,444,000 is an even composite number composed of seven prime numbers multiplied together.
138806678444000 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of one thousand, one hundred fifty-two divisors.
Prime factorization of 138806678444000:
25 × 53 × 72 × 17 × 127 × 331 × 991
(2 × 2 × 2 × 2 × 2 × 5 × 5 × 5 × 7 × 7 × 17 × 127 × 331 × 991)See below for interesting mathematical facts about the number 138806678444000 from the Numbermatics database.
Names of 138806678444000
- Cardinal: 138806678444000 can be written as One hundred thirty-eight trillion, eight hundred six billion, six hundred seventy-eight million, four hundred forty-four thousand.
Scientific notation
- Scientific notation: 1.38806678444 × 1014
Factors of 138806678444000
Divisors of 138806678444000
- Number of divisors d(n): 1152
-
Complete list of divisors:
1 2 4 5 7 8 10 14 16 17 20 25 28 32 34 35 40 49 50 56 68 70 80 85 98 100 112 119 125 127 136 140 160 170 175 196 200 224 238 245 250 254 272 280 331 340 350 392 400 425 476 490 500 508 544 560 595 635 662 680 700 784 800 833 850 875 889 952 980 991 1000 1016 1120 1190 1225 1270 1324 1360 1400 1568 1655 1666 1700 1750 1778 1904 1960 1982 2000 2032 2125 2159 2317 2380 2450 2540 2648 2720 2800 2975 3175 3310 3332 3400 3500 3556 3808 3920 3964 4000 4064 4165 4250 4318 4445 4634 4760 4900 4955 5080 5296 5600 5627 5950 6125 6223 6350 6620 6664 6800 6937 7000 7112 7840 7928 8275 8330 8500 8636 8890 9268 9520 9800 9910 10160 10592 10795 11254 11585 11900 12250 12446 12700 13240 13328 13600 13874 14000 14224 14875 15113 15856 15875 16219 16550 16660 16847 17000 17272 17780 18536 19040 19600 19820 20320 20825 21590 22225 22508 23170 23800 24500 24775 24892 25400 26480 26656 27748 28000 28135 28448 29750 30226 31115 31712 31750 32438 33100 33320 33694 34000 34544 34685 35560 37072 39200 39389 39640 41375 41650 42037 43180 44450 45016 46340 47600 48559 49000 49550 49784 50800 52960 53975 55496 56270 57925 59500 60452 62230 63500 64876 66200 66640 67388 68000 69088 69370 71120 74144 75565 78778 79280 81095 82750 83300 84074 84235 86360 88900 90032 92680 95200 97118 98000 99100 99568 101600 104125 105791 107950 110992 111125 112540 115850 117929 119000 120904 123875 124460 125857 127000 129752 132400 133280 134776 138740 140675 142240 151130 155575 157556 158560 162190 165500 166600 168148 168470 172720 173425 177800 180064 185360 194236 196000 196945 198200 199136 208250 210185 211582 215900 221984 222250 225080 231700 235858 238000 241808 242795 247750 248920 251714 254000 259504 264800 269552 269875 275723 277480 281350 289625 294259 302260 311150 315112 324380 328021 331000 333200 336296 336940 345440 346850 355600 370720 377825 388472 393890 396400 405475 416500 420370 421175 423164 431800 444500 450160 463400 471716 476000 483616 485590 495500 497840 503428 508000 519008 528955 539104 539750 551446 554960 562700 579250 588518 589645 604520 622300 629285 630224 648760 656042 662000 666400 672592 673880 693700 703375 711200 714629 755650 776944 777875 787780 792800 810950 825503 833000 840740 842350 846328 863600 867125 880999 889000 900320 926800 943432 971180 984725 991000 995680 1006856 1050925 1057910 1079500 1102892 1109920 1125400 1158500 1177036 1179290 1209040 1213975 1244600 1258570 1260448 1297520 1312084 1324000 1345184 1347760 1378615 1387400 1406750 1429258 1471295 1511300 1553888 1555750 1575560 1621900 1640105 1651006 1666000 1681480 1684700 1692656 1727200 1734250 1761998 1778000 1853600 1886864 1889125 1942360 1969450 1982000 2013712 2027375 2059813 2101850 2105875 2115820 2139569 2159000 2205784 2250800 2296147 2317000 2354072 2358580 2418080 2427950 2489200 2517140 2595040 2624168 2644775 2695520 2757230 2774800 2813500 2858516 2942590 2948225 3022600 3111500 3146425 3151120 3243800 3280210 3302012 3332000 3362960 3369400 3385312 3468500 3523996 3556000 3573145 3773728 3778250 3884720 3938900 3964000 4027424 4054750 4119626 4127515 4203700 4211750 4231640 4279138 4318000 4404995 4411568 4501600 4592294 4634000 4708144 4717160 4855900 4923625 4978400 5002403 5034280 5248336 5254625 5289550 5514460 5549600 5576357 5627000 5717032 5885180 5896450 6045200 6069875 6166993 6223000 6292850 6302240 6487600 6560420 6604024 6725920 6738800 6893075 6937000 7047992 7146290 7356475 7556500 7769440 7877800 8109500 8200525 8239252 8255030 8407400 8423500 8463280 8558276 8636000 8809990 8823136 9184588 9268000 9416288 9434320 9711800 9847250 10004806 10068560 10299065 10496672 10509250 10579100 10697845 11028920 11152714 11254000 11434064 11480735 11770360 11792900 12090400 12139750 12333986 12446000 12585700 12975200 13120840 13208048 13223875 13477600 13786150 13874000 14095984 14292580 14712950 14741125 14976983 15113000 15732125 15755600 16073029 16219000 16401050 16478504 16510060 16814800 16847000 16926560 17116552 17619980 17865725 18369176 18868640 19423600 19694500 20009612 20137120 20598130 20637575 21018500 21158200 21395690 22024975 22057840 22305428 22508000 22868128 22961470 23540720 23585800 24279500 24667972 24892000 25012015 25171400 26241680 26416096 26447750 27572300 27748000 27881785 28191968 28585160 29425900 29482250 29953966 30226000 30834965 31464250 31511200 32146058 32438000 32802100 32957008 33020120 33629600 33694000 34233104 34465375 35016821 35239960 35731450 36738352 36782375 38847200 39034499 39389000 40019224 41002625 41196260 41275150 41658667 42037000 42316400 42791380 44049950 44115680 44610856 45922940 47081440 47171600 48559000 49335944 50024030 50342800 51495325 52483360 52895500 53489225 55144600 55763570 57170320 57403675 58851800 58964500 59907932 60452000 61669930 62928500 64292116 64876000 65604200 65914016 66040240 67388000 68466208 68930750 70033642 70479920 71462900 73476704 73564750 74884915 78068998 78778000 80038448 80365145 82005250 82392520 82550300 83317334 84074000 84632800 85582760 88099900 89221712 89328625 91845880 94343200 97118000 98671888 100048060 100685600 102990650 103187875 104838881 105791000 106978450 110124875 110289200 111527140 114340640 114807350 117703600 117929000 119815864 123339860 125060075 125857000 128584232 131208400 132080480 137861500 139408925 140067284 140959840 142925800 147129500 149769830 154174825 156137996 157556000 160076896 160730290 164010500 164785040 165100600 166634668 168148000 171165520 175084105 176199800 178443424 178657250 183691760 194236000 195172495 197343776 200096120 205981300 206375750 208293335 209677762 211582000 213956900 220249750 220578400 223054280 229614700 235407200 235858000 239631728 246679720 250120150 251714000 257168464 257476625 262416800 267446125 273241493 275723000 278817850 280134568 285851600 287018375 291610669 294259000 299539660 308349650 312275992 321460580 328021000 329570080 330201200 333269336 342331040 350168210 352399600 357314500 367383520 374424575 390344990 400192240 401825725 411962600 412751500 416586670 419355524 423164000 427913800 440499500 446108560 459229400 471716000 479263456 493359440 500240300 503428000 514336928 514953250 524194405 534892250 546482986 551446000 557635700 560269136 571703200 574036750 583221338 588518000 599079320 616699300 624551984 625300375 642921160 656042000 660402400 666538672 697044625 700336420 704799200 708197339 714629000 748849150 770874125 780689980 800384480 803651450 823925200 825503000 833173340 838711048 855827600 875420525 880999000 892217120 918458800 975862475 986718880 1000480600 1029906500 1041466675 1048388810 1069784500 1092965972 1102892000 1115271400 1120538272 1148073500 1166442676 1177036000 1198158640 1233398600 1249103968 1250600750 1285842320 1312084000 1333077344 1366207465 1394089250 1400672840 1416394678 1429258000 1458053345 1497698300 1541748250 1561379960 1607302900 1647850400 1651006000 1666346680 1677422096 1711655200 1750841050 1761998000 1836917600 1872122875 1951724950 2000961200 2009128625 2041274683 2059813000 2082933350 2096777620 2139569000 2185931944 2230542800 2296147000 2332885352 2396317280 2466797200 2501201500 2571684640 2620972025 2732414930 2788178500 2801345680 2832789356 2858516000 2916106690 2995396600 3083496500 3122759920 3214605800 3302012000 3332693360 3354844192 3501682100 3523996000 3540986695 3744245750 3903449900 4001922400 4018257250 4082549366 4119626000 4165866700 4193555240 4279138000 4371863888 4377102625 4461085600 4592294000 4665770704 4879312375 4933594400 4957381373 5002403000 5207333375 5241944050 5464829860 5576357000 5602691360 5665578712 5832213380 5990793200 6166993000 6245519840 6429211600 6665386720 6831037325 7003364200 7081973390 7290266725 7488491500 7806899800 8036514500 8165098732 8239252000 8331733400 8387110480 8558276000 8743727776 8754205250 9184588000 9331541408 9758624750 9914762746 10004806000 10206373415 10414666750 10483888100 10929659720 11152714000 11331157424 11664426760 11981586400 12333986000 12858423200 13104860125 13662074650 14006728400 14163946780 14580533450 14976983000 15613799600 16073029000 16330197464 16663466800 16774220960 17508410500 17704933475 19517249500 19829525492 20009612000 20412746830 20829333500 20967776200 21859319440 22305428000 22662314848 23328853520 24667972000 24786906865 26209720250 27324149300 28013456800 28327893560 29161066900 29953966000 31227599200 32146058000 32660394928 33326933600 34155186625 34701669611 35016821000 35409866950 36451333625 39034499000 39659050984 40825493660 41658667000 41935552400 43718638880 46657707040 49573813730 51031867075 52419440500 54648298600 56655787120 58322133800 59907932000 64292116000 65320789856 68310373250 69403339222 70033642000 70819733900 72902667250 78068998000 79318101968 81650987320 83317334000 83871104800 88524667375 99147627460 102063734150 104838881000 109296597200 113311574240 116644267600 123934534325 136620746500 138806678444 140067284000 141639467800 145805334500 156137996000 158636203936 163301974640 166634668000 173508348055 177049334750 198295254920 204127468300 209677762000 218593194400 233288535200 247869068650 255159335375 273241493000 277613356888 283278935600 291610669000 326603949280 347016696110 354098669500 396590509840 408254936600 419355524000 495738137300 510318670750 546482986000 555226713776 566557871200 583221338000 619672671625 694033392220 708197339000 793181019680 816509873200 867541740275 991476274600 1020637341500 1092965972000 1110453427552 1166442676000 1239345343250 1388066784440 1416394678000 1633019746400 1735083480550 1982952549200 2041274683000 2478690686500 2776133568880 2832789356000 3470166961100 3965905098400 4082549366000 4337708701375 4957381373000 5552267137760 6940333922200 8165098732000 8675417402750 9914762746000 13880667844400 17350834805500 19829525492000 27761335688800 34701669611000 69403339222000 138806678444000
- Sum of all divisors σ(n): 425081529040896
- Sum of proper divisors (its aliquot sum) s(n): 286274850596896
- 138806678444000 is an abundant number, because the sum of its proper divisors (286274850596896) is greater than itself. Its abundance is 147468172152896
Bases of 138806678444000
- Binary: 111111000111110011100101100001011010111111000002
- Hexadecimal: 0x7E3E72C2D7E0
- Base-36: 1D7AWOGOGW
Squares and roots of 138806678444000
- 138806678444000 squared (1388066784440002) is 19267293980656014261136000000
- 138806678444000 cubed (1388066784440003) is 2674429080058936127720182998152384000000000
-
The
square root of 138806678444000 is 11781624.6097047245 -
The
cube root of 138806678444000 is 51776.9885371943
Scales and comparisons
How big is 138806678444000?- 138,806,678,444,000 seconds is equal to 4,413,623 years, 6 days, 6 hours, 53 minutes, 20 seconds.
-
To count from 1 to 138,806,678,444,000 would take you about eleven million, thirty-four thousand and fifty-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 138806678444000 cubic inches would be around 4314.7 feet tall.
Recreational maths with 138806678444000
- 138806678444000 backwards is 000444876608831
- The number of decimal digits it has is: 15
- The sum of 138806678444000'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 138806678444000 - Facts about the integer". Numbermatics.com. 2024. Web. 25 September 2024.
APA style:
Numbermatics. (2024). Number 138806678444000 - Facts about the integer. Retrieved 25 September 2024, from https://numbermatics.com/n/138806678444000/
Chicago style:
Numbermatics. 2024. "Number 138806678444000 - Facts about the integer". https://numbermatics.com/n/138806678444000/
The information we have on file for 138806678444000 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 138806678444000, math, Factors of 138806678444000, curriculum, school, college, exams, university, Prime factorization of 138806678444000, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty-eight trillion, eight hundred six billion, six hundred seventy-eight million, four hundred forty-four thousand.