138864680768000
138,864,680,768,000 is an even composite number composed of seven prime numbers multiplied together.
138864680768000 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of one thousand, two hundred eighty divisors.
Prime factorization of 138864680768000:
29 × 53 × 11 × 23 × 89 × 173 × 557
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 5 × 11 × 23 × 89 × 173 × 557)See below for interesting mathematical facts about the number 138864680768000 from the Numbermatics database.
Names of 138864680768000
- Cardinal: 138864680768000 can be written as One hundred thirty-eight trillion, eight hundred sixty-four billion, six hundred eighty million, seven hundred sixty-eight thousand.
Scientific notation
- Scientific notation: 1.38864680768 × 1014
Factors of 138864680768000
Divisors of 138864680768000
- Number of divisors d(n): 1280
-
Complete list of divisors:
1 2 4 5 8 10 11 16 20 22 23 25 32 40 44 46 50 55 64 80 88 89 92 100 110 115 125 128 160 173 176 178 184 200 220 230 250 253 256 275 320 346 352 356 368 400 440 445 460 500 506 512 550 557 575 640 692 704 712 736 800 865 880 890 920 979 1000 1012 1100 1114 1150 1265 1280 1375 1384 1408 1424 1472 1600 1730 1760 1780 1840 1903 1958 2000 2024 2047 2200 2225 2228 2300 2530 2560 2750 2768 2785 2816 2848 2875 2944 3200 3460 3520 3560 3680 3806 3916 3979 4000 4048 4094 4325 4400 4450 4456 4600 4895 5060 5500 5536 5570 5632 5696 5750 5888 6127 6325 6400 6920 7040 7120 7360 7612 7832 7958 8000 8096 8188 8650 8800 8900 8912 9200 9515 9790 10120 10235 11000 11072 11125 11140 11392 11500 11776 12254 12650 12800 12811 13840 13925 14080 14240 14720 15224 15397 15664 15916 16000 16192 16376 17300 17600 17800 17824 18400 19030 19580 19895 20240 20470 21625 22000 22144 22250 22280 22517 22784 23000 24475 24508 25300 25622 27680 27850 28160 28480 29440 30448 30635 30794 31328 31625 31832 32000 32384 32752 34600 35200 35600 35648 36800 38060 39160 39790 40480 40940 43250 43769 44000 44288 44500 44560 45034 45568 46000 47575 48950 49016 49573 50600 51175 51244 55360 55700 56960 58880 60896 61270 61588 62656 63250 63664 64000 64055 64768 65504 69200 69625 70400 71200 71296 73600 76120 76985 78320 79580 80960 81880 86500 87538 88000 88576 89000 89120 90068 92000 95150 96361 97900 98032 99146 99475 101200 102350 102488 110720 111400 112585 113920 121792 122375 122540 123176 125312 126500 127328 128110 129536 131008 138400 139250 140800 140921 142400 142592 147200 152240 153175 153970 156640 159160 161920 163760 169367 173000 175076 176000 178000 178240 180136 184000 190300 192722 195800 196064 198292 198950 202400 204700 204976 218845 221440 222800 225170 227840 237875 243584 244750 245080 246352 247865 250624 253000 254656 255875 256220 262016 276800 278500 281842 284800 285184 294400 304480 306350 307940 313280 318320 320275 323840 327520 338734 346000 350152 352000 354131 356000 356480 360272 368000 380600 384925 385444 391600 392128 396584 397900 404800 409400 409952 437690 442880 445600 450340 475750 481805 487168 489500 490160 492704 495730 497375 501248 506000 509312 511750 512440 524032 545303 553600 557000 562925 563684 569600 608960 612700 615880 626560 636640 640550 647680 655040 677468 692000 700304 704000 704605 708262 712000 712960 720544 736000 761200 765875 769850 770888 783200 784256 793168 795800 809600 818800 819904 846835 875380 891200 900680 951500 963610 974336 979000 980320 985408 991460 994750 1012000 1018624 1023500 1024880 1048064 1059971 1090606 1094225 1107200 1114000 1125850 1127368 1139200 1140179 1217920 1225400 1231760 1239325 1253120 1273280 1281100 1310080 1354936 1384000 1400608 1409210 1416524 1424000 1425920 1441088 1472000 1522400 1531750 1539700 1541776 1566400 1568512 1586336 1591600 1601375 1619200 1637600 1639808 1693670 1750760 1770655 1782400 1801360 1903000 1924625 1927220 1958000 1960640 1970816 1982920 1989500 2024000 2037248 2047000 2049760 2119942 2181212 2188450 2214400 2216303 2228000 2251700 2254736 2280358 2409025 2435840 2450800 2463520 2478650 2506240 2546560 2562200 2620160 2709872 2726515 2768000 2801216 2814625 2818420 2833048 2848000 2882176 3044800 3063500 3079400 3083552 3132800 3137024 3172672 3183200 3202750 3238400 3275200 3279616 3387340 3501520 3523025 3541310 3564800 3602720 3806000 3849250 3854440 3895441 3916000 3921280 3941632 3965840 3979000 4048000 4094000 4099520 4234175 4239884 4362424 4376900 4432606 4456000 4503400 4509472 4560716 4818050 4871680 4901600 4927040 4957300 5093120 5124400 5240320 5299855 5419744 5453030 5471125 5536000 5602432 5629250 5636840 5666096 5696000 5700895 5764352 6089600 6127000 6158800 6167104 6196625 6265600 6345344 6366400 6405500 6550400 6559232 6774680 7003040 7046050 7082620 7129600 7205440 7612000 7698500 7708880 7790882 7832000 7842560 7883264 7931680 7958000 8096000 8188000 8199040 8468350 8479768 8576129 8724848 8753800 8853275 8865212 8912000 9006800 9018944 9121432 9636100 9803200 9854080 9914600 10186240 10248800 10599710 10839488 10906060 10942250 11072000 11081515 11204864 11258500 11273680 11332192 11401790 11528704 12045125 12179200 12254000 12317600 12334208 12393250 12531200 12541969 12690688 12732800 12811000 13100800 13549360 13632575 14006080 14092100 14165240 14410880 15224000 15397000 15417760 15581764 15664000 15685120 15863360 15916000 16192000 16376000 16398080 16936700 16959536 17152258 17449696 17507600 17615125 17706550 17730424 17824000 18013600 18037888 18242864 19272200 19477205 19606400 19708160 19829200 20497600 21170875 21199420 21678976 21812120 21884500 22163030 22409728 22517000 22547360 22664384 22803580 24090250 24358400 24379333 24508000 24635200 24668416 24786500 25083938 25381376 25465600 25622000 26201600 26499275 27098720 27265150 28012160 28184200 28330480 28504475 28821760 30448000 30794000 30835520 31163528 31328000 31726720 31832000 32752000 32796160 33873400 33919072 34304516 34899392 35015200 35230250 35413100 35460848 35648000 36027200 36075776 36485728 38544400 38954410 39212800 39416320 39658400 40995200 42341750 42398840 42880645 43357952 43624240 43769000 44266375 44326060 45034000 45094720 45328768 45607160 48180500 48758666 49016000 49270400 49336832 49573000 50167876 50931200 51244000 52998550 54197440 54530300 55407575 56024320 56368400 56660960 57008950 57643520 60896000 61588000 61671040 62327056 62656000 62709845 63453440 63664000 65504000 67746800 67838144 68162875 68609032 69798784 70030400 70460500 70826200 70921696 72054400 72151552 72971456 77088800 77908820 78425600 79316800 81990400 84683500 84797680 85761290 86715904 87248480 87538000 88532750 88652120 90068000 90189440 90657536 91214320 94337419 96361000 97386025 97517332 98032000 98540800 99146000 100335752 102488000 105997100 108394880 109060600 110815150 112048640 112736800 113321920 114017900 121792000 121896665 123176000 123342080 124654112 125419690 126906880 127328000 131008000 132496375 135493600 135676288 136325750 137218064 139597568 140060800 140921000 141652400 141843392 142522375 144108800 145942912 154177600 155817640 158633600 163980800 169367000 169595360 171522580 174496960 175076000 177065500 177304240 180136000 180378880 181315072 182428640 188674838 192722000 194772050 195034664 196064000 197081600 197250967 198292000 200671504 204976000 211994200 214403225 216789760 218121200 221630300 225473600 226643840 228035800 243793330 246352000 246684160 249308224 250839380 254656000 264992750 270987200 271352576 272651500 274436128 277037875 279195136 280121600 281842000 283304800 283686784 285044750 288217600 291885824 308355200 311635280 313549225 317267200 338734000 339190720 343045160 348993920 350152000 354131000 354608480 360272000 360757760 364857280 377349676 385444000 389544100 390069328 392128000 394501934 396584000 401343008 409952000 423988400 428806450 433579520 436242400 443260600 450947200 453287680 456071600 471687095 486930125 487586660 492704000 498616448 501678760 529985500 541974400 542705152 545303000 548872256 554075750 560243200 563684000 566609600 567373568 570089500 583771648 609483325 616710400 623270560 627098450 634534400 677468000 678381440 686090320 697987840 700304000 708262000 709216960 720544000 729714560 754699352 770888000 779088200 780138656 789003868 793168000 802686016 819904000 847976800 857612900 872484800 886521200 901894400 906575360 912143200 943374190 973860250 975173320 985408000 986254835 997232896 1003357520 1059971000 1072016125 1083948800 1090606000 1097744512 1108151500 1127368000 1133219200 1134747136 1140179000 1218966650 1233420800 1246541120 1254196900 1354936000 1356762880 1372180640 1395975680 1400608000 1416524000 1418433920 1441088000 1459429120 1509398704 1541776000 1558176400 1560277312 1567746125 1578007736 1586336000 1605372032 1695953600 1715225800 1744969600 1773042400 1803788800 1824286400 1886748380 1947720500 1950346640 1972509670 1994465792 2006715040 2119942000 2144032250 2167897600 2169760637 2181212000 2195489024 2216303000 2254736000 2266438400 2280358000 2358435475 2437933300 2493082240 2508393800 2709872000 2713525760 2744361280 2801216000 2833048000 2836867840 2918858240 3018797408 3047416625 3083552000 3116352800 3120554624 3135492250 3156015472 3172672000 3210744064 3391907200 3430451600 3489939200 3546084800 3648572800 3773496760 3895441000 3900693280 3945019340 4013430080 4239884000 4288064500 4339521274 4362424000 4390978048 4432606000 4509472000 4532876800 4560716000 4716870950 4875866600 4931274175 4986164480 5016787600 5419744000 5488722560 5666096000 5673735680 6037594816 6094833250 6167104000 6232705600 6241109248 6270984500 6312030944 6421488128 6783814400 6860903200 6979878400 7092169600 7297145600 7546993520 7790882000 7801386560 7890038680 8026860160 8479768000 8576129000 8679042548 8724848000 8865212000 9018944000 9121432000 9433741900 9751733200 9862548350 9972328960 10033575200 10839488000 10848803185 10977445120 11332192000 11792177375 12075189632 12189666500 12465411200 12482218496 12541969000 12624061888 13567628800 13721806400 14184339200 14594291200 15093987040 15581764000 15602773120 15780077360 16053720320 16959536000 17152258000 17358085096 17449696000 17730424000 18242864000 18867483800 19503466400 19725096700 20067150400 21697606370 21954890240 22664384000 23584354750 24150379264 24379333000 24656370875 24930822400 25083938000 25248123776 27443612800 28368678400 30187974080 31163528000 31205546240 31560154720 32107440640 33919072000 34304516000 34716170192 34899392000 35460848000 36485728000 37734967600 39006932800 39450193400 40134300800 43395212740 47168709500 48300758528 48758666000 49312741750 49861644800 50167876000 50496247552 54244015925 54887225600 60375948160 62327056000 62411092480 63120309440 67838144000 68609032000 69432340384 70921696000 72971456000 75469935200 78013865600 78900386800 80268601600 86790425480 94337419000 97517332000 98625483500 100335752000 100992495104 108488031850 109774451200 120751896320 124654112000 126240618880 137218064000 138864680768 141843392000 150939870400 156027731200 157800773600 160537203200 173580850960 188674838000 195034664000 197250967000 200671504000 216976063700 241503792640 249308224000 252481237760 271220079625 274436128000 277729361536 301879740800 312055462400 315601547200 347161701920 377349676000 390069328000 394501934000 401343008000 433952127400 504962475520 542440159250 548872256000 555458723072 603759481600 631203094400 694323403840 754699352000 780138656000 789003868000 802686016000 867904254800 1084880318500 1110917446144 1207518963200 1262406188800 1388646807680 1509398704000 1560277312000 1578007736000 1735808509600 2169760637000 2524812377600 2777293615360 3018797408000 3156015472000 3471617019200 4339521274000 5554587230720 6037594816000 6312030944000 6943234038400 8679042548000 12624061888000 13886468076800 17358085096000 27772936153600 34716170192000 69432340384000 138864680768000
- Sum of all divisors σ(n): 401623093048320
- Sum of proper divisors (its aliquot sum) s(n): 262758412280320
- 138864680768000 is an abundant number, because the sum of its proper divisors (262758412280320) is greater than itself. Its abundance is 123893731512320
Bases of 138864680768000
- Binary: 111111001001011111100111111100000010010000000002
- Hexadecimal: 0x7E4BF3F81200
- Base-36: 1D81JXJS3K
Squares and roots of 138864680768000
- 138864680768000 squared (1388646807680002) is 19283399564798549069824000000
- 138864680768000 cubed (1388646807680003) is 2677783124687540646810693101944832000000000
-
The
square root of 138864680768000 is 11784085.9114315693 -
The
cube root of 138864680768000 is 51784.1994473317
Scales and comparisons
How big is 138864680768000?- 138,864,680,768,000 seconds is equal to 4,415,467 years, 16 weeks, 1 day, 11 hours, 33 minutes, 20 seconds.
-
To count from 1 to 138,864,680,768,000 would take you about eleven million, thirty-eight thousand, six hundred sixty-eight 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 138864680768000 cubic inches would be around 4315.3 feet tall.
Recreational maths with 138864680768000
- 138864680768000 backwards is 000867086468831
- The number of decimal digits it has is: 15
- The sum of 138864680768000's digits is 65
- More coming soon!
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The information we have on file for 138864680768000 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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