138466951168000
138,466,951,168,000 is an even composite number composed of six prime numbers multiplied together.
What does the number 138466951168000 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 2016 divisors.
138466951168000 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of two thousand and sixteen divisors.
Prime factorization of 138466951168000:
220 × 53 × 7 × 132 × 19 × 47
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 5 × 7 × 13 × 13 × 19 × 47)See below for interesting mathematical facts about the number 138466951168000 from the Numbermatics database.
Names of 138466951168000
- Cardinal: 138466951168000 can be written as One hundred thirty-eight trillion, four hundred sixty-six billion, nine hundred fifty-one million, one hundred sixty-eight thousand.
Scientific notation
- Scientific notation: 1.38466951168 × 1014
Factors of 138466951168000
Divisors of 138466951168000
- Number of divisors d(n): 2016
-
Complete list of divisors:
1 2 4 5 7 8 10 13 14 16 19 20 25 26 28 32 35 38 40 47 50 52 56 64 65 70 76 80 91 94 95 100 104 112 125 128 130 133 140 152 160 169 175 182 188 190 200 208 224 235 247 250 256 260 266 280 304 320 325 329 338 350 364 376 380 400 416 448 455 470 475 494 500 512 520 532 560 608 611 640 650 658 665 676 700 728 752 760 800 832 845 875 893 896 910 940 950 988 1000 1024 1040 1064 1120 1175 1183 1216 1222 1235 1280 1300 1316 1330 1352 1400 1456 1504 1520 1600 1625 1645 1664 1690 1729 1750 1786 1792 1820 1880 1900 1976 2000 2048 2080 2128 2240 2275 2350 2366 2375 2432 2444 2470 2560 2600 2632 2660 2704 2800 2912 3008 3040 3055 3200 3211 3250 3290 3325 3328 3380 3458 3500 3572 3584 3640 3760 3800 3952 4000 4096 4160 4225 4256 4277 4465 4480 4550 4700 4732 4750 4864 4888 4940 5120 5200 5264 5320 5408 5600 5824 5875 5915 6016 6080 6110 6175 6251 6400 6422 6500 6580 6650 6656 6760 6916 7000 7144 7168 7280 7520 7600 7904 7943 8000 8192 8225 8320 8450 8512 8554 8645 8930 8960 9100 9400 9464 9500 9728 9776 9880 10240 10400 10528 10640 10816 11200 11375 11609 11648 11750 11830 12032 12160 12220 12350 12502 12800 12844 13000 13160 13300 13312 13520 13832 14000 14288 14336 14560 15040 15200 15275 15808 15886 16000 16055 16384 16450 16625 16640 16900 17024 17108 17290 17860 17920 18200 18800 18928 19000 19456 19552 19760 20480 20800 21056 21125 21280 21385 21632 22325 22400 22477 22750 23218 23296 23500 23660 24064 24320 24440 24700 25004 25600 25688 26000 26320 26600 26624 27040 27664 28000 28576 28672 29120 29575 30080 30400 30550 30875 31255 31616 31772 32000 32110 32768 32900 33250 33280 33800 34048 34216 34580 35720 35840 36400 37600 37856 38000 38912 39104 39520 39715 40960 41125 41600 42112 42250 42560 42770 43225 43264 44650 44800 44954 45500 46436 46592 47000 47320 48128 48640 48880 49400 50008 51200 51376 52000 52640 53200 53248 54080 55328 55601 56000 57152 57344 58045 58240 59150 60160 60800 61100 61750 62510 63232 63544 64000 64220 65536 65800 66500 66560 67600 68096 68432 69160 71440 71680 72800 75200 75712 76000 76375 77824 78208 79040 79430 80275 81263 81920 82250 83200 84224 84500 85120 85540 86450 86528 89300 89600 89908 91000 92872 93184 94000 94640 96256 97280 97760 98800 100016 102400 102752 104000 105280 106400 106496 106925 108160 110656 111202 111625 112000 112385 114304 114688 116090 116480 118300 120320 121600 122200 123500 125020 126464 127088 128000 128440 131072 131600 133000 133120 135200 136192 136864 138320 142880 143360 145600 147875 150400 150917 151424 152000 152750 155648 156275 156416 158080 158860 160550 162526 163840 164500 166400 168448 169000 170240 171080 172900 173056 178600 179200 179816 182000 185744 186368 188000 189280 192512 194560 195520 197600 198575 200032 204800 205504 208000 210560 212800 212992 213850 216125 216320 221312 222404 223250 224000 224770 228608 229376 232180 232960 236600 240640 243200 244400 247000 250040 252928 254176 256000 256880 262144 263200 266000 266240 270400 272384 273728 276640 278005 285760 286720 290225 291200 295750 300800 301834 302848 304000 305500 311296 312550 312832 316160 317720 321100 325052 327680 329000 332800 336896 338000 340480 342160 345800 346112 357200 358400 359632 364000 371488 372736 376000 378560 385024 389120 391040 395200 397150 400064 401375 406315 409600 411008 416000 421120 425600 425984 427700 432250 432640 442624 444808 446500 448000 449540 457216 458752 464360 465920 473200 481280 486400 488800 494000 500080 505856 508352 512000 513760 524288 526400 532000 532480 534625 540800 544768 547456 553280 556010 561925 571520 573440 580450 582400 591500 601600 603668 605696 608000 611000 622592 625100 625664 632320 635440 642200 650104 655360 658000 665600 673792 676000 680960 684320 691600 692224 714400 716800 719264 728000 742976 745472 752000 754585 757120 770048 778240 781375 782080 790400 794300 800128 802750 812630 819200 822016 832000 842240 851200 851968 855400 864500 865280 885248 889616 893000 896000 899080 914432 917504 928720 931840 946400 962560 972800 977600 988000 992875 1000160 1011712 1016704 1024000 1027520 1048576 1052800 1056419 1064000 1064960 1069250 1081600 1089536 1094912 1106560 1112020 1123850 1143040 1146880 1160900 1164800 1183000 1203200 1207336 1211392 1216000 1222000 1245184 1250200 1251328 1264640 1270880 1284400 1300208 1310720 1316000 1331200 1347584 1352000 1361920 1368640 1383200 1384448 1390025 1428800 1433600 1438528 1451125 1456000 1485952 1490944 1504000 1509170 1514240 1540096 1556480 1562750 1564160 1580800 1588600 1600256 1605500 1625260 1638400 1644032 1664000 1684480 1702400 1703936 1710800 1729000 1730560 1770496 1779232 1786000 1792000 1798160 1828864 1835008 1857440 1863680 1892800 1925120 1945600 1955200 1976000 1985750 2000320 2023424 2031575 2033408 2048000 2055040 2105600 2112838 2128000 2129920 2138500 2163200 2179072 2189824 2213120 2224040 2247700 2286080 2293760 2321800 2329600 2366000 2406400 2414672 2422784 2432000 2444000 2490368 2500400 2502656 2529280 2541760 2568800 2600416 2621440 2632000 2662400 2695168 2704000 2723840 2737280 2766400 2768896 2780050 2809625 2857600 2867200 2877056 2902250 2912000 2971904 2981888 3008000 3018340 3028480 3080192 3112960 3125500 3128320 3161600 3177200 3200512 3211000 3250520 3276800 3288064 3328000 3368960 3404800 3407872 3421600 3458000 3461120 3540992 3558464 3572000 3584000 3596320 3657728 3670016 3714880 3727360 3772925 3785600 3850240 3891200 3910400 3952000 3971500 4000640 4046848 4063150 4066816 4096000 4110080 4211200 4225676 4256000 4259840 4277000 4326400 4358144 4379648 4426240 4448080 4495400 4572160 4587520 4643600 4659200 4732000 4812800 4829344 4845568 4864000 4888000 4980736 5000800 5005312 5058560 5083520 5137600 5200832 5242880 5264000 5282095 5324800 5390336 5408000 5447680 5474560 5532800 5537792 5560100 5619250 5715200 5734400 5754112 5804500 5824000 5943808 5963776 6016000 6036680 6056960 6160384 6225920 6251000 6256640 6323200 6354400 6401024 6422000 6501040 6553600 6576128 6656000 6737920 6809600 6815744 6843200 6916000 6922240 6950125 7081984 7116928 7144000 7168000 7192640 7315456 7340032 7429760 7454720 7545850 7571200 7700480 7782400 7820800 7904000 7943000 8001280 8093696 8126300 8133632 8192000 8220160 8422400 8451352 8512000 8519680 8554000 8652800 8716288 8759296 8852480 8896160 8990800 9144320 9175040 9287200 9318400 9464000 9625600 9658688 9691136 9728000 9776000 9961472 10001600 10010624 10117120 10157875 10167040 10275200 10401664 10528000 10564190 10649600 10780672 10816000 10895360 10949120 11065600 11075584 11120200 11238500 11430400 11468800 11508224 11609000 11648000 11887616 11927552 12032000 12073360 12113920 12320768 12451840 12502000 12513280 12646400 12708800 12802048 12844000 13002080 13107200 13152256 13312000 13475840 13619200 13631488 13686400 13832000 13844480 13900250 14163968 14233856 14288000 14336000 14385280 14630912 14859520 14909440 15091700 15142400 15400960 15564800 15641600 15808000 15886000 16002560 16187392 16252600 16267264 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3080192000 3090780160 3101163520 3200512000 3203399680 3237478400 3253452800 3277324288 3288064000 3328532480 3366977536 3380540800 3486515200 3503718400 3540992000 3558464000 3643867136 3657728000 3682631680 3804037120 3863475200 3876454400 4004249600 4046848000 4066816000 4096655360 4160665600 4164419584 4208721920 4225676000 4312268800 4327092224 4358144000 4379648000 4430233600 4484759552 4532469760 4554833920 4603289600 4681891840 4755046400 4829344000 4845568000 4945248256 5005312000 5120819200 5200832000 5205524480 5260902400 5325651968 5390336000 5408865280 5537792000 5605949440 5665587200 5693542400 5754112000 5852364800 5892210688 5943808000 5963776000 6086459392 6160384000 6181560320 6202327040 6401024000 6474956800 6506905600 6554648576 6576128000 6657064960 6761081600 7007436800 7081984000 7116928000 7287734272 7315456000 7365263360 7608074240 7726950400 7752908800 8008499200 8093696000 8133632000 8193310720 8321331200 8328839168 8417443840 8451352000 8624537600 8654184448 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29261824000 29461053440 30432296960 30907801600 31011635200 32374784000 32534528000 32773242880 33285324800 33805408000 34616737792 35037184000 36438671360 36826316800 38040371200 38634752000 38764544000 39561986048 40042496000 40966553600 41606656000 41644195840 42087219200 42605215744 43122688000 43270922240 45324697600 45548339200 46032896000 47550464000 49452482560 51208192000 52055244800 52609024000 53256519680 54088652800 56059494400 56655872000 56935424000 58301874176 58523648000 58922106880 60864593920 61815603200 65069056000 66570649600 67610816000 69233475584 70074368000 72877342720 73652633600 76080742400 77269504000 77529088000 79123972096 80084992000 81933107200 83213312000 84174438400 85210431488 86541844480 91096678400 92065792000 95100928000 98904965120 102416384000 104110489600 105218048000 106513039360 108177305600 112118988800 113311744000 113870848000 117047296000 117844213760 123631206400 130138112000 133141299200 135221632000 138466951168 140148736000 145754685440 147305267200 152161484800 154539008000 155058176000 158247944192 163866214400 166426624000 173083688960 182193356800 184131584000 190201856000 197809930240 204832768000 208220979200 210436096000 213026078720 216354611200 226623488000 227741696000 247262412800 260276224000 266282598400 270443264000 276933902336 280297472000 291509370880 294610534400 304322969600 309078016000 332853248000 346167377920 364386713600 368263168000 380403712000 395619860480 409665536000 420872192000 426052157440 432709222400 455483392000 494524825600 520552448000 532565196800 540886528000 553867804672 560594944000 589221068800 618156032000 665706496000 692334755840 728773427200 736526336000 760807424000 791239720960 819331072000 865418444800 910966784000 989049651200 1041104896000 1065130393600 1081773056000 1107735609344 1236312064000 1331412992000 1384669511680 1457546854400 1473052672000 1521614848000 1730836889600 1821933568000 1978099302400 2130260787200 2163546112000 2472624128000 2662825984000 2769339023360 2946105344000 3461673779200 3643867136000 3956198604800 4327092224000 4945248256000 5325651968000 5538678046720 6923347558400 7287734272000 8654184448000 9890496512000 10651303936000 13846695116800 17308368896000 19780993024000 27693390233600 34616737792000 69233475584000 138466951168000
- Sum of all divisors σ(n): 459797504624640
- Sum of proper divisors (its aliquot sum) s(n): 321330553456640
- 138466951168000 is an abundant number, because the sum of its proper divisors (321330553456640) is greater than itself. Its abundance is 182863602288640
Bases of 138466951168000
- Binary: 111110111101111010110010111000000000000000000002
- Hexadecimal: 0x7DEF59700000
- Base-36: 1D2YU7M4N4
Squares and roots of 138466951168000
- 138466951168000 squared (1384669511680002) is 19173096565761296564224000000
- 138466951168000 cubed (1384669511680003) is 2654840225910617952102770783813632000000000
-
The
square root of 138466951168000 is 11767198.1018422563 -
The
cube root of 138466951168000 is 51734.7128929121
Scales and comparisons
How big is 138466951168000?- 138,466,951,168,000 seconds is equal to 4,402,820 years, 38 weeks, 3 days, 15 hours, 6 minutes, 40 seconds.
-
To count from 1 to 138,466,951,168,000 would take you about eleven million, seven thousand and fifty-one 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 138466951168000 cubic inches would be around 4311.2 feet tall.
Recreational maths with 138466951168000
- 138466951168000 backwards is 000861159664831
- The number of decimal digits it has is: 15
- The sum of 138466951168000's digits is 58
- More coming soon!
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"Number 138466951168000 - Facts about the integer". Numbermatics.com. 2024. Web. 22 May 2024.
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Numbermatics. (2024). Number 138466951168000 - Facts about the integer. Retrieved 22 May 2024, from https://numbermatics.com/n/138466951168000/
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The information we have on file for 138466951168000 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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