138366034064125218000
138,366,034,064,125,218,000 is an even composite number composed of five prime numbers multiplied together.
What does the number 138366034064125218000 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 2100 divisors.
138366034064125218000 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of two thousand, one hundred divisors.
Prime factorization of 138366034064125218000:
24 × 34 × 53 × 132 × 1316
(2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 5 × 5 × 5 × 13 × 13 × 131 × 131 × 131 × 131 × 131 × 131)See below for interesting mathematical facts about the number 138366034064125218000 from the Numbermatics database.
Names of 138366034064125218000
- Cardinal: 138366034064125218000 can be written as One hundred thirty-eight quintillion, three hundred sixty-six quadrillion, thirty-four trillion, sixty-four billion, one hundred twenty-five million, two hundred eighteen thousand.
Scientific notation
- Scientific notation: 1.38366034064125218 × 1020
Factors of 138366034064125218000
Divisors of 138366034064125218000
- Number of divisors d(n): 2100
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Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 13 15 16 18 20 24 25 26 27 30 36 39 40 45 48 50 52 54 60 65 72 75 78 80 81 90 100 104 108 117 120 125 130 131 135 144 150 156 162 169 180 195 200 208 216 225 234 240 250 260 262 270 300 312 324 325 338 351 360 375 390 393 400 405 432 450 468 500 507 520 524 540 585 600 624 648 650 655 675 676 702 720 750 780 786 810 845 900 936 975 1000 1014 1040 1048 1053 1080 1125 1170 1179 1200 1296 1300 1310 1350 1352 1404 1500 1521 1560 1572 1620 1625 1690 1703 1755 1800 1872 1950 1965 2000 2025 2028 2096 2106 2160 2250 2340 2358 2535 2600 2620 2700 2704 2808 2925 3000 3042 3120 3144 3240 3250 3275 3375 3380 3406 3510 3537 3600 3900 3930 4050 4056 4212 4225 4500 4563 4680 4716 4875 5070 5109 5200 5240 5265 5400 5616 5850 5895 6000 6084 6288 6480 6500 6550 6750 6760 6812 7020 7074 7605 7800 7860 8100 8112 8424 8450 8515 8775 9000 9126 9360 9432 9750 9825 10125 10140 10218 10480 10530 10611 10800 11700 11790 12168 12675 13000 13100 13500 13520 13624 13689 14040 14148 14625 15210 15327 15600 15720 16200 16375 16848 16900 17030 17161 17550 17685 18000 18252 18864 19500 19650 20250 20280 20436 21060 21125 21222 22139 22815 23400 23580 24336 25350 25545 26000 26200 26325 27000 27248 27378 28080 28296 29250 29475 30420 30654 31440 32400 32750 33800 34060 34322 35100 35370 36504 38025 39000 39300 40500 40560 40872 42120 42250 42444 42575 43875 44278 45630 45981 46800 47160 49125 50700 51090 51483 52400 52650 53055 54000 54756 56592 58500 58950 60840 61308 63375 65500 66417 67600 68120 68445 68644 70200 70740 73008 76050 76635 78000 78600 81000 81744 84240 84500 84888 85150 85805 87750 88425 88556 91260 91962 94320 98250 101400 102180 102966 105300 106110 109512 110695 114075 117000 117900 121680 122616 126750 127725 131000 131625 132834 136240 136890 137288 137943 140400 141480 147375 152100 153270 154449 157200 162000 169000 169776 170300 171610 175500 176850 177112 182520 183924 190125 196500 199251 202800 204360 205932 210600 212220 212875 219024 221390 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7580869716421500 7687001892451401 7823920501222800 7884104505078360 8062818837138000 8124840520500600 8187339293735220 8212608859456625 8449834141320624 8541113213834890 8801910563875650 8869617568213155 9027600578334000 9097043659705800 9460925406094032 9779900626528500 9855130631347950 10107826288562000 10156050650625750 10234174117169025 10249335856601868 10562292676650780 10643541081855786 10916452391646960 11371304574632250 11735880751834200 11826156757617540 12811669820752335 13039867502038000 13140174175130600 13202865845813475 13541400867501000 13645565489558700 13665781142135824 14083056902201040 14191388109141048 14669850939792750 14782695947021925 15161739432843000 15374003784902802 15768209010156720 16249681041001200 16374678587470440 16425217718913250 17056956861948375 17082226427669780 17603821127751300 17739235136426310 18194087319411600 19559801253057000 19710261262695900 20312101301251500 20468348234338050 20498671713203736 21124585353301560 21287082163711572 21352783034587225 22004776409689125 22742609149264500 23061005677354203 23471761503668400 23652313515235080 24637826578369875 25623339641504670 26280348350261200 26405731691626950 26608852704639465 27082801735002000 27291130979117400 28382776218282096 29339701879585500 29565391894043850 30323478865686000 30748007569805604 32749357174940880 32850435437826500 34113913723896750 34164452855339560 35207642255502600 35478470272852620 38435009462257005 39119602506114000 39420522525391800 40624202602503000 40936696468676100 40997343426407472 42249170706603120 42574164327423144 42705566069174450 44009552819378250 44348087841065775 45485218298529000 46122011354708406 47304627030470160 49275653156739750 51170870585845125 51246679283009340 52811463383253900 53217705409278930 54582261958234800 58679403759171000 59130783788087700 61496015139611208 64058349103761675 65700870875653000 66014329229067375 68227827447793500 68328905710679120 69183017032062609 70415284511005200 70956940545705240 73913479735109625 76870018924514010 78841045050783600 81248405205006000 81873392937352200 85148328654846288 85411132138348900 88019105638756500 88696175682131550 90970436597058000 92244022709416812 98551306313479500 102341741171690250 102493358566018680 105622926766507800 106435410818557860 106763915172936125 115305028386771015 117358807518342000 118261567576175400 122992030279222416 128116698207523350 131401741751306000 132028658458134750 133044263523197325 136455654895587000 138366034064125218 141913881091410480 147826959470219250 153740037849028020 163746785874704400 170822264276697800 176038211277513000 177392351364263100 184488045418833624 192175047311285025 197102612626959000 204683482343380500 204986717132037360 211245853533015600 212870821637115720 213527830345872250 221740439205328875 230610056773542030 236523135152350800 256233396415046700 264057316916269500 266088527046394650 272911309791174000 276732068128250436 295653918940438500 307480075698056040 320291745518808375 341644528553395600 345915085160313045 352076422555026000 354784702728526200 368976090837667248 384350094622570050 394205225253918000 409366964686761000 425741643274231440 427055660691744500 443480878410657750 461220113547084060 512466792830093400 528114633832539000 532177054092789300 553464136256500872 576525141933855075 591307837880877000 614960151396112080 640583491037616750 665221317615986625 691830170320626090 709569405457052400 768700189245140100 818733929373522000 854111321383489000 886961756821315500 922440227094168120 960875236556425125 1024933585660186800 1056229267665078000 1064354108185578600 1106928272513001744 1153050283867710150 1182615675761754000 1281166982075233500 1330442635231973250 1383660340641252180 1537400378490280200 1708222642766978000 1729575425801565225 1773923513642631000 1844880454188336240 1921750473112850250 2128708216371157200 2306100567735420300 2562333964150467000 2660885270463946500 2767320681282504360 2882625709669275375 3074800756980560400 3459150851603130450 3547847027285262000 3843500946225700500 4612201135470840600 5124667928300934000 5321770540927893000 5534641362565008720 5765251419338550750 6918301703206260900 7687001892451401000 8647877129007826125 9224402270941681200 10643541081855786000 11530502838677101500 13836603406412521800 15374003784902802000 17295754258015652250 23061005677354203000 27673206812825043600 34591508516031304500 46122011354708406000 69183017032062609000 138366034064125218000
- Sum of all divisors σ(n): 545353958087086452876
- Sum of proper divisors (its aliquot sum) s(n): 406987924022961234876
- 138366034064125218000 is an abundant number, because the sum of its proper divisors (406987924022961234876) is greater than itself. Its abundance is 268621889958836016876
Bases of 138366034064125218000
- Binary: 11110000000001101101110011011100010111110111100100001001100110100002
- Hexadecimal: 0x78036E6E2FBC84CD0
- Base-36: T78NDJ7D48T00
Squares and roots of 138366034064125218000
- 138366034064125218000 squared (1383660340641252180002) is 19145159382634660192202867583547524000000
- 138366034064125218000 cubed (1383660340641252180003) is 2649039775300733920788981510143565330419934189860232000000000
-
The
square root of 138366034064125218000 is 11762909251.7168225411 -
The
cube root of 138366034064125218000 is 5172214.1454433893 - Being both a perfect square and a perfect cube, 138366034064125218000 is also a
perfect sixth number .
Scales and comparisons
How big is 138366034064125218000?- 138,366,034,064,125,218,000 seconds is equal to 293,274,701,009 years, 3 weeks, 3 days, 15 hours, 30 minutes, 7 seconds.
-
To count from 1 to 138,366,034,064,125,218,000 would take you about two hundred ninety-three billion, two hundred seventy-four million, seven hundred one thousand and 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 138366034064125218000 cubic inches would be around 431017.8 feet tall.
Recreational maths with 138366034064125218000
- 138366034064125218000 backwards is 000812521460430663831
- The number of decimal digits it has is: 21
- The sum of 138366034064125218000's digits is 63
- More coming soon!
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MLA style:
"Number 138366034064125218000 - Facts about the integer". Numbermatics.com. 2024. Web. 13 June 2024.
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Numbermatics. (2024). Number 138366034064125218000 - Facts about the integer. Retrieved 13 June 2024, from https://numbermatics.com/n/138366034064125218000/
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Numbermatics. 2024. "Number 138366034064125218000 - Facts about the integer". https://numbermatics.com/n/138366034064125218000/
The information we have on file for 138366034064125218000 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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