138016693408000
138,016,693,408,000 is an even composite number composed of seven prime numbers multiplied together.
138016693408000 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 138016693408000:
28 × 53 × 11 × 17 × 79 × 181 × 1613
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 5 × 11 × 17 × 79 × 181 × 1613)See below for interesting mathematical facts about the number 138016693408000 from the Numbermatics database.
Names of 138016693408000
- Cardinal: 138016693408000 can be written as One hundred thirty-eight trillion, sixteen billion, six hundred ninety-three million, four hundred eight thousand.
Scientific notation
- Scientific notation: 1.38016693408 × 1014
Factors of 138016693408000
Divisors of 138016693408000
- Number of divisors d(n): 1152
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Complete list of divisors:
1 2 4 5 8 10 11 16 17 20 22 25 32 34 40 44 50 55 64 68 79 80 85 88 100 110 125 128 136 158 160 170 176 181 187 200 220 250 256 272 275 316 320 340 352 362 374 395 400 425 440 500 544 550 632 640 680 704 724 748 790 800 850 869 880 905 935 1000 1088 1100 1264 1280 1343 1360 1375 1408 1448 1496 1580 1600 1613 1700 1738 1760 1810 1870 1975 1991 2000 2125 2176 2200 2528 2686 2720 2750 2816 2896 2992 3077 3160 3200 3226 3400 3476 3520 3620 3740 3950 3982 4000 4250 4345 4352 4400 4525 4675 5056 5372 5440 5500 5792 5984 6154 6320 6400 6452 6715 6800 6952 7040 7240 7480 7900 7964 8000 8065 8500 8690 8800 9050 9350 9875 9955 10112 10744 10880 11000 11584 11968 12308 12640 12904 13430 13600 13904 14080 14299 14480 14773 14960 15385 15800 15928 16000 16130 17000 17380 17600 17743 18100 18700 19750 19910 20224 21488 21725 21760 22000 22625 23168 23375 23936 24616 25280 25808 26860 27200 27421 27808 28598 28960 29546 29920 30770 31600 31856 32000 32260 33575 33847 34000 34760 35200 35486 36200 37400 39500 39820 40325 42976 43450 44000 45250 46336 46750 47872 49232 49775 50560 51616 53720 54400 54842 55616 57196 57920 59092 59840 61540 63200 63712 64520 67150 67694 68000 69520 70400 70972 71495 72400 73865 74800 76925 79000 79640 80650 85952 86900 88000 88715 90500 93500 98464 99550 101120 103232 107440 108625 108800 109684 111232 114392 115840 118184 119680 123080 126400 127424 127427 129040 134300 135388 136000 137105 139040 141944 142990 144800 147730 149600 153850 157289 158000 159280 161300 167875 169235 171904 173800 176000 177430 181000 187000 196928 199100 201625 206464 214880 217250 219368 222464 228784 231680 236368 239360 243083 246160 248875 252800 254848 254854 258080 268600 270776 272000 274210 278080 283888 285980 289600 291953 295460 299200 301631 307700 314578 316000 318560 322600 335750 338470 343808 347600 352000 354860 357475 362000 369325 374000 384625 393856 398200 403250 412928 429760 434500 438736 443575 457568 472736 486166 492320 497750 505600 509696 509708 516160 537200 541552 544000 548420 556160 567776 571960 579200 583906 590920 598400 603262 615400 629156 632000 637120 637135 645200 671500 676940 685525 695200 709720 714950 724000 738650 748000 769250 786445 787712 796400 806500 846175 859520 869000 877472 887150 915136 945472 972332 984640 995500 1019416 1032320 1074400 1083104 1096840 1112320 1135552 1143920 1158400 1167812 1181840 1196800 1206524 1215415 1230800 1258312 1264000 1274240 1274270 1290400 1343000 1353880 1371050 1390400 1401697 1419440 1429900 1448000 1459765 1477300 1496000 1508155 1538500 1572890 1592800 1613000 1692350 1719040 1738000 1754944 1774300 1787375 1830272 1846625 1890944 1944664 1969280 1991000 2038832 2064640 2148800 2166208 2166259 2193680 2217875 2271104 2287840 2335624 2363680 2413048 2430830 2461600 2516624 2528000 2548480 2548540 2580800 2673913 2686000 2707760 2742100 2780800 2803394 2838880 2859800 2896000 2919530 2954600 2992000 3016310 3077000 3145780 3185600 3185675 3211483 3226000 3384700 3427625 3476000 3509888 3548600 3574750 3660544 3693250 3781888 3889328 3932225 3938560 3982000 4077664 4230875 4297600 4332416 4332518 4387360 4435750 4542208 4575680 4671248 4727360 4826096 4861660 4923200 4963201 5033248 5097080 5161600 5347826 5372000 5415520 5484200 5561600 5606788 5677760 5719600 5792000 5839060 5909200 5984000 6032620 6077075 6154000 6291560 6371200 6371350 6422966 6452000 6769400 6855250 6952000 7008485 7019776 7097200 7149500 7298825 7386500 7540775 7778656 7864450 7964000 8155328 8461750 8595200 8664832 8665036 8774720 8871500 9151360 9342496 9454720 9652192 9723320 9846400 9926402 10066496 10194160 10323200 10695652 10744000 10831040 10831295 10968400 11213576 11355520 11439200 11678120 11818400 12065240 12154150 12308000 12583120 12742400 12742700 12845932 12904000 13369565 13538800 13710500 13904000 14016970 14194400 14299000 14597650 14773000 15081550 15557312 15728900 15928000 15928375 16057415 16310656 16923500 17330072 17549440 17743000 18302720 18684992 18909440 19304384 19446640 19661125 19692800 19852804 20132992 20388320 21391304 21488000 21662080 21662590 21936800 22427152 22711040 22878400 23064287 23356240 23636800 23828849 24130480 24308300 24616000 24816005 25166240 25485400 25691864 25808000 26739130 27077600 27421000 27808000 28033940 28388800 28598000 29195300 29546000 30163100 30385375 31114624 31457800 31856000 31856750 32114830 32621312 33847000 34660144 35042425 35098880 35486000 36494125 37369984 37703875 38608768 38893280 39322250 39705608 40265984 40776640 42782608 42976000 43324160 43325180 43873600 44854304 45756800 46128574 46712480 47273600 47657698 48260960 48616600 49232000 49632010 50332480 50970800 51383728 51616000 53478260 54155200 54156475 54595211 54842000 56067880 56777600 57196000 58390600 59092000 60326200 60770750 62229248 62915600 63712000 63713500 64229660 66847825 67694000 69320288 70084850 70972000 72988250 74739968 75407750 77217536 77786560 78644500 79411216 80287075 81553280 85565216 86650360 87747200 89708608 91513600 92257148 93424960 94547200 95315396 96521920 97233200 98464000 99264020 100664960 101941600 102767456 106956520 108310400 108312950 109190422 109684000 112135760 113555200 114392000 115321435 116781200 118184000 119144245 120652400 121541500 124080025 125831200 127427000 128459320 133695650 135388000 138640576 140169700 141944000 145976500 150815500 155573120 157289000 158822432 160574150 163106560 171130432 173300720 175212125 175494400 179417216 184514296 186849920 190630792 193043840 194466400 198528040 201329920 203883200 205534912 213913040 216620800 216625900 218380844 219368000 224271520 228784000 230642870 233562400 236368000 238288490 241304800 243083000 248160050 251662400 253707157 254854000 256918640 267391300 270776000 270782375 272976055 277281152 280339400 283888000 291953000 301631000 311146240 314578000 317644864 321148300 334239125 342260864 346601440 350424250 358834432 369028592 373699840 381261584 386087680 388932800 392092879 397056080 401435375 407766400 411069824 427826080 433251800 436761688 438736000 448543040 457568000 461285740 467124800 472736000 476576980 482609600 486166000 496320100 503324800 507414314 509708000 513837280 534782600 541552000 541564750 545952110 554562304 560678800 567776000 576607175 583906000 595721225 603262000 620400125 629156000 635289728 642296600 668478250 684521728 693202880 700848500 738057184 762523168 777865600 784185758 794112160 802870750 815532800 822139648 855652160 866503600 873523376 877472000 897086080 922571480 934249600 953153960 965219200 972332000 992640200 1006649600 1014828628 1019416000 1027674560 1069565200 1083104000 1083129500 1091904220 1121357600 1153214350 1167812000 1191442450 1206524000 1240800250 1258312000 1268535785 1270579456 1284593200 1336956500 1364880275 1386405760 1401697000 1476114368 1525046336 1555731200 1568371516 1588224320 1605741500 1711304320 1733007200 1747046752 1794172160 1845142960 1868499200 1906307920 1930438400 1944664000 1960464395 1985280400 2029657256 2038832000 2055349120 2139130400 2166259000 2183808440 2242715200 2306428700 2335624000 2382884900 2413048000 2481600500 2516624000 2537071570 2569186400 2673913000 2729760550 2772811520 2803394000 2883035875 2952228736 2978606125 3050092672 3136743032 3176448640 3211483000 3422608640 3466014400 3494093504 3690285920 3812615840 3889328000 3920928790 3970560800 4059314512 4077664000 4110698240 4278260800 4313021669 4332518000 4367616880 4485430400 4612857400 4671248000 4765769800 4826096000 4963201000 5033248000 5074143140 5138372800 5347826000 5459521100 5606788000 5766071750 5904457472 5957212250 6100185344 6273486064 6342678925 6352897280 6422966000 6824401375 6932028800 6988187008 7380571840 7625231680 7778656000 7841857580 7941121600 8118629024 8556521600 8626043338 8665036000 8735233760 8970860800 9225714800 9342496000 9531539600 9652192000 9802321975 9926402000 10148286280 10276745600 10695652000 10919042200 11213576000 11532143500 11914424500 12546972128 12685357850 12845932000 13648802750 13864057600 13976374016 14761143680 15250463360 15683715160 15882243200 16237258048 17113043200 17252086676 17330072000 17470467520 18451429600 19063079200 19604643950 19852804000 20296572560 20553491200 21391304000 21565108345 21838084400 22427152000 23064287000 23828849000 25093944256 25370715700 25691864000 27297605500 29522287360 30500926720 31367430320 31713394625 31764486400 32474516096 34504173352 34660144000 34940935040 36902859200 38126158400 39209287900 39705608000 40593145120 42782608000 43130216690 43676168800 44854304000 46128574000 47657698000 49011609875 50187888512 50741431400 51383728000 54595211000 62734860640 63426789250 64949032192 69008346704 69320288000 69881870080 73805718400 76252316800 78418575800 79411216000 81186290240 85565216000 86260433380 87352337600 92257148000 95315396000 98023219750 100375777024 101482862800 102767456000 107825541725 109190422000 125469721280 126853578500 138016693408 147611436800 152504633600 156837151600 158822432000 162372580480 172520866760 174704675200 184514296000 190630792000 196046439500 202965725600 215651083450 218380844000 250939442560 253707157000 276033386816 313674303200 324745160960 345041733520 349409350400 369028592000 381261584000 392092879000 405931451200 431302166900 436761688000 501878885120 507414314000 539127708625 552066773632 627348606400 690083467040 738057184000 762523168000 784185758000 811862902400 862604333800 873523376000 1014828628000 1078255417250 1104133547264 1254697212800 1380166934080 1568371516000 1623725804800 1725208667600 1747046752000 2029657256000 2156510834500 2509394425600 2760333868160 3136743032000 3450417335200 4059314512000 4313021669000 5520667736320 6273486064000 6900834670400 8118629024000 8626043338000 12546972128000 13801669340800 17252086676000 27603338681600 34504173352000 69008346704000 138016693408000
- Sum of all divisors σ(n): 404635661015040
- Sum of proper divisors (its aliquot sum) s(n): 266618967607040
- 138016693408000 is an abundant number, because the sum of its proper divisors (266618967607040) is greater than itself. Its abundance is 128602274199040
Bases of 138016693408000
- Binary: 111110110000110100000111111101111010001000000002
- Hexadecimal: 0x7D8683FBD100
- Base-36: 1CX7ZRRPJ4
Squares and roots of 138016693408000
- 138016693408000 squared (1380166934080002) is 19048607659277870654464000000
- 138016693408000 cubed (1380166934080003) is 2629025843159834400796238194573312000000000
-
The
square root of 138016693408000 is 11748050.6216137833 -
The
cube root of 138016693408000 is 51678.5761516357
Scales and comparisons
How big is 138016693408000?- 138,016,693,408,000 seconds is equal to 4,388,503 years, 48 weeks, 4 days, 23 hours, 6 minutes, 40 seconds.
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To count from 1 to 138,016,693,408,000 would take you about ten million, nine hundred seventy-one thousand, two hundred fifty-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 138016693408000 cubic inches would be around 4306.5 feet tall.
Recreational maths with 138016693408000
- 138016693408000 backwards is 000804396610831
- The number of decimal digits it has is: 15
- The sum of 138016693408000's digits is 49
- More coming soon!
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