138899722206003200
138,899,722,206,003,200 is an even composite number composed of six prime numbers multiplied together.
138899722206003200 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one thousand, six hundred twenty divisors.
Prime factorization of 138899722206003200:
214 × 52 × 132 × 19 × 47 × 14992
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 13 × 13 × 19 × 47 × 1499 × 1499)See below for interesting mathematical facts about the number 138899722206003200 from the Numbermatics database.
Names of 138899722206003200
- Cardinal: 138899722206003200 can be written as One hundred thirty-eight quadrillion, eight hundred ninety-nine trillion, seven hundred twenty-two billion, two hundred six million, three thousand, two hundred.
Scientific notation
- Scientific notation: 1.388997222060032 × 1017
Factors of 138899722206003200
Divisors of 138899722206003200
- Number of divisors d(n): 1620
-
Complete list of divisors:
1 2 4 5 8 10 13 16 19 20 25 26 32 38 40 47 50 52 64 65 76 80 94 95 100 104 128 130 152 160 169 188 190 200 208 235 247 256 260 304 320 325 338 376 380 400 416 470 475 494 512 520 608 611 640 650 676 752 760 800 832 845 893 940 950 988 1024 1040 1175 1216 1222 1235 1280 1300 1352 1499 1504 1520 1600 1664 1690 1786 1880 1900 1976 2048 2080 2350 2432 2444 2470 2560 2600 2704 2998 3008 3040 3055 3200 3211 3328 3380 3572 3760 3800 3952 4096 4160 4225 4465 4700 4864 4888 4940 5120 5200 5408 5996 6016 6080 6110 6175 6400 6422 6656 6760 7144 7495 7520 7600 7904 7943 8192 8320 8450 8930 9400 9728 9776 9880 10240 10400 10816 11609 11992 12032 12160 12220 12350 12800 12844 13312 13520 14288 14990 15040 15200 15275 15808 15886 16055 16384 16640 16900 17860 18800 19456 19487 19552 19760 20480 20800 21632 22325 23218 23984 24064 24320 24440 24700 25600 25688 26624 27040 28481 28576 29980 30080 30400 30550 31616 31772 32110 33280 33800 35720 37475 37600 38912 38974 39104 39520 39715 40960 41600 43264 44650 46436 47968 48128 48640 48880 49400 51200 51376 53248 54080 56962 57152 58045 59960 60160 60800 61100 63232 63544 64220 66560 67600 70453 71440 74950 75200 77824 77948 78208 79040 79430 80275 81920 83200 86528 89300 92872 95936 96256 97280 97435 97760 98800 102400 102752 106496 108160 113924 114304 116090 119920 120320 121600 122200 126464 127088 128440 133120 135200 140906 142405 142880 149900 150400 150917 155648 155896 156416 158080 158860 160550 166400 173056 178600 185744 191872 192512 194560 194870 195520 197600 198575 204800 205504 212992 216320 227848 228608 232180 239840 240640 243200 244400 252928 253331 254176 256880 266240 270400 281812 284810 285760 290225 299800 300800 301834 311296 311792 312832 316160 317720 321100 332800 346112 352265 357200 370253 371488 383744 385024 389120 389740 391040 395200 397150 409600 411008 432640 455696 457216 464360 479680 481280 486400 487175 488800 505856 506662 508352 513760 532480 540800 563624 569620 571520 580450 599600 601600 603668 623584 625664 632320 635440 642200 665600 692224 704530 712025 714400 740506 742976 754585 767488 770048 778240 779480 782080 790400 794300 822016 865280 911392 914432 915889 928720 959360 962560 972800 974350 977600 1011712 1013324 1016704 1027520 1064960 1081600 1127248 1139240 1143040 1160900 1199200 1203200 1207336 1247168 1251328 1264640 1266655 1270880 1284400 1331200 1338607 1384448 1409060 1424050 1428800 1481012 1485952 1509170 1534976 1556480 1558960 1564160 1580800 1588600 1644032 1730560 1761325 1822784 1828864 1831778 1851265 1857440 1918720 1925120 1945600 1948700 1955200 2023424 2026648 2033408 2055040 2163200 2247001 2254496 2278480 2286080 2321800 2398400 2406400 2414672 2494336 2502656 2529280 2533310 2541760 2568800 2662400 2677214 2768896 2818120 2848100 2857600 2962024 2971904 3018340 3069952 3117920 3128320 3161600 3177200 3288064 3461120 3522650 3645568 3657728 3663556 3702530 3714880 3772925 3837440 3850240 3891200 3897400 3910400 4046848 4053296 4066816 4110080 4326400 4494002 4508992 4556960 4572160 4579445 4643600 4796800 4812800 4813289 4829344 4988672 5005312 5058560 5066620 5083520 5137600 5324800 5354428 5636240 5696200 5715200 5924048 5943808 6036680 6139904 6235840 6256640 6323200 6333275 6354400 6576128 6693035 6922240 7045300 7291136 7315456 7327112 7405060 7429760 7545850 7674880 7782400 7794800 7820800 8106592 8133632 8220160 8652800 8988004 9017984 9113920 9144320 9158890 9256325 9287200 9593600 9625600 9626578 9658688 9977344 10010624 10117120 10133240 10167040 10275200 10708856 11235005 11272480 11392400 11430400 11848096 11887616 11906557 12073360 12279808 12471680 12513280 12646400 12666550 12708800 13152256 13386070 13844480 14090600 14582272 14630912 14654224 14810120 14859520 15091700 15349760 15589600 15641600 16213184 16267264 16440320 17305600 17401891 17976008 18035968 18227840 18288640 18317780 18512650 18574400 19187200 19251200 19253156 19317376 19954688 20234240 20266480 20334080 20550400 21417712 22470010 22544960 22784800 22860800 22897225 23696192 23775232 23813114 24066445 24146720 24559616 24943360 25026560 25292800 25333100 25417600 26304512 26772140 28181200 29164544 29211013 29308448 29620240 29719040 30183400 30699520 31179200 31283200 32426368 32534528 32880640 33465175 34611200 34803782 35952016 36071936 36455680 36577280 36635560 37025300 37148800 38374400 38506312 38634752 39909376 40532960 40668160 41100800 42693019 42835424 44940020 45089920 45569600 45721600 45794450 47392384 47550464 47626228 48132890 48293440 49886720 50053120 50585600 50666200 50835200 52609024 53544280 56175025 56362400 58329088 58422026 58616896 59240480 59438080 59532785 60366800 61399040 62358400 62566400 64852736 65069056 65761280 66930350 69222400 69607564 71904032 72143872 72911360 73154560 73271120 74050600 74297600 76748800 77012624 77269504 79818752 81065920 81336320 82201600 85386038 85670848 87009455 89880040 90179840 91139200 91443200 91588900 94784768 95100928 95252456 96265780 96586880 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652135865225 675897900800 678221299834 699482423296 702933816832 710411836160 712781455360 713917157720 721512021100 723918665600 747801932800 777714010112 802628757200 834733907488 865149313024 874353029120 878667271040 888014795200 890976819200 892396447150 920371609600 923535387008 926615891968 972142512640 975385149440 985761587200 1027364809216 1043417384360 1081436641280 1092941286400 1098334088800 1136658937856 1142267452352 1154419233760 1158269864960 1196483092480 1215178140800 1219231436800 1284206011520 1304271730450 1351795801600 1356442599668 1405867633664 1420823672320 1425562910720 1427834315440 1443024042200 1447837331200 1495603865600 1555428020224 1605257514400 1669467814976 1695553249585 1730298626048 1748706058240 1757334542080 1776029590400 1781953638400 1784792894300 1847070774016 1853231783936 1944285025280 1971523174400 2054729618432 2086834768720 2162873282560 2185882572800 2196668177600 2273317875712 2284534904704 2308838467520 2316539729920 2392966184960 2430356281600 2438462873600 2568412023040 2608543460900 2703591603200 2712885199336 2811735267328 2841647344640 2855668630880 2886048084400 2895674662400 2991207731200 3110856040448 3210515028800 3338935629952 3391106499170 3497412116480 3514669084160 3552059180800 3563907276800 3569585788600 3694141548032 3706463567872 3888570050560 4109459236864 4173669537440 4325746565120 4371765145600 4393336355200 4546635751424 4569069809408 4617676935040 4633079459840 4860712563200 4876925747200 5136824046080 5217086921800 5407183206400 5425770398672 5623470534656 5683294689280 5711337261760 5772096168800 5791349324800 5982415462400 6221712080896 6421030057600 6677871259904 6782212998340 7029338168320 7104118361600 7127814553600 7139171577200 7388283096064 7777140101120 8218918473728 8347339074880 8477766247925 8651493130240 8743530291200 8786672710400 9093271502848 9138139618816 9235353870080 9266158919680 9721425126400 10273648092160 10434173843600 10814366412800 10851540797344 11246941069312 11366589378560 11422674523520 11544192337600 11582698649600 11964830924800 12842060115200 13355742519808 13564425996680 14058676336640 14208236723200 14278343154400 14776566192128 15554280202240 16437836947456 16694678149760 16955532495850 17487060582400 17573345420800 18276279237632 18470707740160 18532317839360 19442850252800 20547296184320 20868347687200 21628732825600 21703081594688 22493882138624 22733178757120 22845349047040 23088384675200 23165397299200 25684120230400 26711485039616 27128851993360 28117352673280 28416473446400 28556686308800 29553132384256 31108560404480 32875673894912 33389356299520 33911064991700 35146690841600 36552558475264 36941415480320 38885700505600 41094592368640 41736695374400 43257465651200 43406163189376 45466357514240 45690698094080 46176769350400 46330794598400 51368240460800 53422970079232 54257703986720 56234705346560 56832946892800 57113372617600 59106264768512 66778712599040 67822129983400 70293381683200 73105116950528 73882830960640 77771401011200 82189184737280 83473390748800 86812326378752 91381396188160 92353538700800 92661589196800 102736480921600 106845940158464 108515407973440 112469410693120 113665893785600 114226745235200 118212529537024 133557425198080 135644259966800 140586763366400 146210233901056 147765661921280 155542802022400 164378369474560 166946781497600 173624652757504 182762792376320 184707077401600 205472961843200 213691880316928 217030815946880 227331787571200 228453490470400 267114850396160 271288519933600 281173526732800 292420467802112 295531323842560 333893562995200 347249305515008 365525584752640 369414154803200 410945923686400 427383760633856 434061631893760 456906980940800 534229700792320 542577039867200 562347053465600 591062647685120 667787125990400 694498611030016 731051169505280 738828309606400 821891847372800 868123263787520 913813961881600 1068459401584640 1085154079734400 1335574251980800 1388997222060032 1462102339010560 1477656619212800 1736246527575040 1827627923763200 2136918803169280 2170308159468800 2671148503961600 2777994444120064 2955313238425600 3472493055150080 3655255847526400 4340616318937600 5342297007923200 5555988888240128 6944986110300160 7310511695052800 8681232637875200 10684594015846400 13889972220600320 17362465275750400 27779944441200640 34724930551500800 69449861103001600 138899722206003200
- Sum of all divisors σ(n): 401248833456663360
- Sum of proper divisors (its aliquot sum) s(n): 262349111250660160
- 138899722206003200 is an abundant number, because the sum of its proper divisors (262349111250660160) is greater than itself. Its abundance is 123449389044656960
Bases of 138899722206003200
- Binary: 1111011010111100010001111101110010111110101000000000000002
- Hexadecimal: 0x1ED788FB97D4000
- Base-36: 11ZNUBH8WI68
Squares and roots of 138899722206003200
- 138899722206003200 squared (1388997222060032002) is 19293132828904858464658118410240000
- 138899722206003200 cubed (1388997222060032003) is 2679810790418405505969812811492077251768352768000000
-
The
square root of 138899722206003200 is 372692530.3866488817 -
The
cube root of 138899722206003200 is 517885.5486296119
Scales and comparisons
How big is 138899722206003200?- 138,899,722,206,003,200 seconds is equal to 4,416,581,521 years, 5 weeks, 1 day, 14 hours, 13 minutes, 20 seconds.
-
To count from 1 to 138,899,722,206,003,200 would take you about thirteen billion, two hundred forty-nine million, seven hundred forty-four thousand, five hundred sixty-three 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 138899722206003200 cubic inches would be around 43157.1 feet tall.
Recreational maths with 138899722206003200
- 138899722206003200 backwards is 002300602227998831
- The number of decimal digits it has is: 18
- The sum of 138899722206003200's digits is 62
- More coming soon!
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"Number 138899722206003200 - Facts about the integer". Numbermatics.com. 2024. Web. 10 June 2024.
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Numbermatics. (2024). Number 138899722206003200 - Facts about the integer. Retrieved 10 June 2024, from https://numbermatics.com/n/138899722206003200/
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Numbermatics. 2024. "Number 138899722206003200 - Facts about the integer". https://numbermatics.com/n/138899722206003200/
The information we have on file for 138899722206003200 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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