138212912260800
138,212,912,260,800 is an even composite number composed of six prime numbers multiplied together.
What does the number 138212912260800 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 2268 divisors.
138212912260800 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of two thousand, two hundred sixty-eight divisors.
Prime factorization of 138212912260800:
26 × 33 × 52 × 132 × 192 × 2292
(2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 5 × 5 × 13 × 13 × 19 × 19 × 229 × 229)See below for interesting mathematical facts about the number 138212912260800 from the Numbermatics database.
Names of 138212912260800
- Cardinal: 138212912260800 can be written as One hundred thirty-eight trillion, two hundred twelve billion, nine hundred twelve million, two hundred sixty thousand, eight hundred.
Scientific notation
- Scientific notation: 1.382129122608 × 1014
Factors of 138212912260800
Divisors of 138212912260800
- Number of divisors d(n): 2268
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 13 15 16 18 19 20 24 25 26 27 30 32 36 38 39 40 45 48 50 52 54 57 60 64 65 72 75 76 78 80 90 95 96 100 104 108 114 117 120 130 135 144 150 152 156 160 169 171 180 190 192 195 200 208 216 225 228 229 234 240 247 260 270 285 288 300 304 312 320 325 338 342 351 360 361 380 390 400 416 432 450 456 458 468 475 480 494 507 513 520 540 570 576 585 600 608 624 650 675 676 684 687 702 720 722 741 760 780 800 832 845 855 864 900 912 916 936 950 960 975 988 1014 1026 1040 1080 1083 1140 1145 1170 1200 1216 1235 1248 1300 1350 1352 1368 1374 1404 1425 1440 1444 1482 1520 1521 1560 1600 1690 1710 1728 1755 1800 1805 1824 1832 1872 1900 1950 1976 2028 2052 2061 2080 2160 2166 2223 2280 2290 2340 2400 2470 2496 2535 2565 2600 2700 2704 2736 2748 2808 2850 2880 2888 2925 2964 2977 3040 3042 3120 3211 3249 3380 3420 3435 3510 3600 3610 3648 3664 3705 3744 3800 3900 3952 4056 4104 4122 4160 4225 4275 4320 4332 4351 4446 4560 4563 4580 4680 4693 4800 4940 5070 5130 5200 5400 5408 5415 5472 5496 5616 5700 5725 5776 5850 5928 5954 6080 6084 6175 6183 6240 6422 6498 6669 6760 6840 6870 7020 7200 7220 7328 7410 7488 7600 7605 7800 7904 8112 8208 8244 8450 8550 8640 8664 8702 8775 8892 8931 9025 9120 9126 9160 9360 9386 9633 9747 9880 10140 10260 10305 10400 10800 10816 10830 10944 10992 11115 11232 11400 11450 11552 11700 11856 11908 12168 12350 12366 12480 12675 12825 12844 12996 13053 13338 13520 13680 13740 14040 14079 14400 14440 14656 14820 14885 15200 15210 15600 15808 16055 16224 16245 16416 16488 16900 17100 17175 17328 17404 17550 17784 17862 18050 18240 18252 18320 18525 18720 18772 19266 19494 19760 20280 20520 20610 20800 21600 21660 21755 21984 22230 22464 22800 22815 22900 23104 23400 23465 23712 23816 24336 24700 24732 25350 25650 25688 25992 26106 26676 26793 27040 27075 27360 27480 28080 28158 28880 28899 29640 29770 30400 30420 30915 31200 32110 32448 32490 32832 32976 33345 33800 34200 34350 34656 34808 35100 35568 35724 36100 36504 36640 37050 37440 37544 38025 38532 38701 38988 39159 39520 40560 41040 41220 42237 43200 43320 43510 43968 44460 44655 45600 45630 45800 46800 46930 47424 47632 48165 48672 48735 49400 49464 50700 51300 51376 51525 51984 52212 52441 53352 53586 54080 54150 54720 54960 55575 56160 56316 56563 57760 57798 59280 59540 60840 61009 61830 62400 64220 64980 65265 65952 66690 67600 68400 68700 69312 69616 70200 70395 71136 71448 72200 73008 73280 74100 74425 75088 76050 77064 77402 77976 78318 79040 80275 80379 81120 81225 82080 82440 82669 84474 86640 86697 87020 88920 89310 91200 91260 91600 93600 93860 95264 96330 97344 97470 98800 98928 101400 102600 102752 103050 103968 104424 104882 106704 107172 108300 108775 109920 111150 112320 112632 113126 114075 115520 115596 116103 117325 117477 118560 119080 121680 122018 123660 126711 128440 129960 130530 131904 133380 133965 135200 136800 137400 139232 140400 140790 142272 142896 144400 144495 146016 148200 148850 150176 152100 154128 154575 154804 155952 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6381020880 6398745938 6644851551 6706109280 6735522040 6815232360 6994580580 7090023200 7173928800 7362716400 7383168390 7460885952 7544372940 7572480400 7577462295 7657225056 7737818400 7771756200 7875379616 7941445200 7976276100 8047331136 8082626448 8178278832 8382636600 8419402550 8508027840 8519040450 8608714560 8743225725 8859802068 9086976480 9092954754 9285382080 9326107440 9430466175 9571531320 9598118907 9816955200 9844224520 10059163920 10103283060 10222848540 10362341600 10588593600 10635034800 10760893200 10776835264 10904371776 11074752585 11176848800 11191328928 11358720600 11606727600 11657634300 11813069424 11964414150 12070996704 12123939672 12305280650 12434809920 12573954900 12629103825 12762041760 12778560675 12797491876 13289703102 13412218560 13471044080 13630464720 13989161160 14180046400 14347857600 14725432800 14766336780 15088745880 15144960800 15154924590 15314450112 15475636800 15543512400 15750759232 15882890400 15952552200 15996864845 16165252896 16356557664 16765273200 16838805100 17038080900 17486451450 17719604136 18173952960 18185909508 18457920975 18652214880 18860932350 19143062640 19196237814 19688449040 20118327840 20206566120 20445697080 20724683200 21270069600 21521786400 22149505170 22353697600 22382657856 22717441200 22732386885 23213455200 23315268600 23626138848 23928828300 24141993408 24247879344 24610561300 25147909800 25258207650 25524083520 25557121350 25594983752 26579406204 26942088160 27260929440 27978322320 28794356721 29450865600 29532673560 30177491760 30289921600 30309849180 31087024800 31765780800 31905104400 31993729690 32330505792 32713115328 33224257755 33530546400 33677610200 34076161800 34972902900 35439208272 36371819016 36915841950 37304429760 37721864700 37887311475 38286125280 38392475628 39376898080 40236655680 40413132240 40891394160 42540139200 43043572800 44299010340 45434882400 45464773770 46426910400 46630537200 47252277696 47857656600 47990594535 48495758688 49221122600 50295819600 50516415300 51114242700 51189967504 53158812408 53884176320 54521858880 55373762925 55956644640 57588713442 59065347120 60354983520 60619698360 62174049600 63810208800 63987459380 66448515510 67061092800 67355220400 68152323600 69945805800 70878416544 72743638032 73831683900 75443729400 75774622950 76572250560 76784951256 78753796160 79984324225 80826264480 81782788320 86383070163 88598020680 90869764800 90929547540 93261074400 95715313200 95981189070 96991517376 98442245200 100591639200 101032830600 102228485400 102379935008 106317624816 110747525850 111913289280 113661934425 115177426884 118130694240 120709967040 121239396720 127620417600 127974918760 132897031020 134710440800 136304647200 139891611600 141756833088 143971783605 145487276064 147663367800 150887458800 151549245900 153569902512 159968648450 161652528960 163565576640 166121288775 172766140326 177196041360 181859095080 186522148800 191430626400 191962378140 196884490400 201183278400 202065661200 204456970800 204759870016 212635249632 221495051700 227323868850 230354853768 236261388480 239952972675 242478793440 255949837520 265794062040 269420881600 272609294400 279783223200 287943567210 290974552128 295326735600 301774917600 303098491800 307139805024 319937296900 332242577550 345532280652 354392082720 363718190160 382861252800 383924756280 393768980800 404131322400 408913941600 425270499264 431915350815 442990103400 454647737700 460709707536 479905945350 484957586880 511899675040 531588124080 559566446400 575887134420 590653471200 603549835200 606196983600 614279610048 639874593800 664485155100 691064561304 708784165440 719858918025 727436380320 767849512560 808262644800 817827883200 863830701630 885980206800 909295475400 921419415072 959811890700 1023799350080 1063176248160 1151774268840 1181306942400 1212393967200 1279749187600 1328970310200 1382129122608 1439717836050 1454872760640 1535699025120 1727661403260 1771960413600 1818590950800 1842838830144 1919623781400 2126352496320 2159576754075 2303548537680 2424787934400 2559498375200 2657940620400 2764258245216 2879435672100 3071398050240 3455322806520 3543920827200 3637181901600 3839247562800 4319153508150 4607097075360 5118996750400 5315881240800 5528516490432 5758871344200 6910645613040 7274363803200 7678495125600 8638307016300 9214194150720 10631762481600 11517742688400 13821291226080 15356990251200 17276614032600 23035485376800 27642582452160 34553228065200 46070970753600 69106456130400 138212912260800
- Sum of all divisors σ(n): 578326423344840
- Sum of proper divisors (its aliquot sum) s(n): 440113511084040
- 138212912260800 is an abundant number, because the sum of its proper divisors (440113511084040) is greater than itself. Its abundance is 301900598823240
Bases of 138212912260800
- Binary: 111110110110100001100111000100111100110110000002
- Hexadecimal: 0x7DB43389E6C0
- Base-36: 1CZQ4VEPC0
Squares and roots of 138212912260800
- 138212912260800 squared (1382129122608002) is 19102809115611598967216640000
- 138212912260800 cubed (1382129122608003) is 2640254880230836371586709359905779712000000
-
The
square root of 138212912260800 is 11756398.7794222087 -
The
cube root of 138212912260800 is 51703.0550968087
Scales and comparisons
How big is 138212912260800?- 138,212,912,260,800 seconds is equal to 4,394,743 years, 4 weeks, 4 days, 12 hours.
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To count from 1 to 138,212,912,260,800 would take you about ten million, nine hundred eighty-six thousand, eight hundred fifty-seven 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 138212912260800 cubic inches would be around 4308.6 feet tall.
Recreational maths with 138212912260800
- 138212912260800 backwards is 008062219212831
- 138212912260800 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 138212912260800's digits is 45
- More coming soon!
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The information we have on file for 138212912260800 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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