138038085824419200
138,038,085,824,419,200 is an even composite number composed of seven prime numbers multiplied together.
138038085824419200 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of seven hundred sixty-eight divisors.
Prime factorization of 138038085824419200:
27 × 3 × 52 × 7 × 53 × 127 × 305175781
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 7 × 53 × 127 × 305175781)See below for interesting mathematical facts about the number 138038085824419200 from the Numbermatics database.
Names of 138038085824419200
- Cardinal: 138038085824419200 can be written as One hundred thirty-eight quadrillion, thirty-eight trillion, eighty-five billion, eight hundred twenty-four million, four hundred nineteen thousand, two hundred.
Scientific notation
- Scientific notation: 1.380380858244192 × 1017
Factors of 138038085824419200
Divisors of 138038085824419200
- Number of divisors d(n): 768
-
Complete list of divisors:
1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 25 28 30 32 35 40 42 48 50 53 56 60 64 70 75 80 84 96 100 105 106 112 120 127 128 140 150 159 160 168 175 192 200 210 212 224 240 254 265 280 300 318 320 336 350 371 381 384 400 420 424 448 480 508 525 530 560 600 635 636 640 672 700 742 762 795 800 840 848 889 896 960 1016 1050 1060 1113 1120 1200 1270 1272 1325 1344 1400 1484 1524 1590 1600 1680 1696 1778 1855 1905 1920 2032 2100 2120 2226 2240 2400 2540 2544 2650 2667 2688 2800 2968 3048 3175 3180 3200 3360 3392 3556 3710 3810 3975 4064 4200 4240 4445 4452 4480 4800 5080 5088 5300 5334 5565 5600 5936 6096 6350 6360 6720 6731 6784 7112 7420 7620 7950 8128 8400 8480 8890 8904 9275 9525 9600 10160 10176 10600 10668 11130 11200 11872 12192 12700 12720 13335 13440 13462 14224 14840 15240 15900 16256 16800 16960 17780 17808 18550 19050 20193 20320 20352 21200 21336 22225 22260 22400 23744 24384 25400 25440 26670 26924 27825 28448 29680 30480 31800 33600 33655 33920 35560 35616 37100 38100 40386 40640 42400 42672 44450 44520 47117 47488 48768 50800 50880 53340 53848 55650 56896 59360 60960 63600 66675 67200 67310 71120 71232 74200 76200 80772 81280 84800 85344 88900 89040 94234 100965 101600 101760 106680 107696 111300 113792 118720 121920 127200 133350 134620 141351 142240 142464 148400 152400 161544 168275 169600 170688 177800 178080 188468 201930 203200 213360 215392 222600 235585 237440 243840 254400 266700 269240 282702 284480 296800 304800 323088 336550 341376 355600 356160 376936 403860 406400 426720 430784 445200 471170 504825 508800 533400 538480 565404 568960 593600 609600 646176 673100 706755 711200 712320 753872 807720 853440 861568 890400 942340 1009650 1066800 1076960 1130808 1177925 1187200 1219200 1292352 1346200 1413510 1422400 1507744 1615440 1706880 1780800 1884680 2019300 2133600 2153920 2261616 2355850 2584704 2692400 2827020 2844800 3015488 3230880 3533775 3561600 3769360 4038600 4267200 4307840 4523232 4711700 5384800 5654040 6030976 6461760 7067550 7538720 8077200 8534400 9046464 9423400 10769600 11308080 12923520 14135100 15077440 16154400 18092928 18846800 21539200 22616160 28270200 30154880 32308800 37693600 45232320 56540400 64617600 75387200 90464640 113080800 150774400 226161600 305175781 452323200 610351562 915527343 1220703124 1525878905 1831054686 2136230467 2441406248 3051757810 3662109372 4272460934 4577636715 4882812496 6103515620 6408691401 7324218744 7629394525 8544921868 9155273430 9765624992 10681152335 12207031240 12817382802 14648437488 15258789050 16174316393 17089843736 18310546860 19531249984 21362304670 22888183575 24414062480 25634765604 29296874976 30517578100 32043457005 32348632786 34179687472 36621093720 38757324187 39062499968 42724609340 45776367150 48522949179 48828124960 51269531208 53405761675 58593749952 61035156200 64086914010 64697265572 68359374944 73242187440 77514648374 80871581965 85449218680 91552734300 97045898358 97656249920 102539062416 106811523350 113220214751 116271972561 117187499904 122070312400 128173828020 129394531144 136718749888 146484374880 155029296748 160217285025 161743163930 170898437360 183105468600 193786620935 194091796716 195312499840 205078124832 213623046700 226440429502 232543945122 242614745895 244140624800 256347656040 258789062288 271301269309 273437499776 292968749760 310058593496 320434570050 323486327860 339660644253 341796874720 366210937200 387573241870 388183593432 404357909825 410156249664 427246093400 452880859004 465087890244 485229491790 488281249600 512695312080 517578124576 542602538618 566101073755 581359862805 585937499520 620117186992 640869140100 646972655720 679321288506 683593749440 732421874400 775146483740 776367186864 808715819650 813903807927 820312499328 854492186800 905761718008 930175780488 968933104675 970458983580 976562499200 1025390624160 1035156249152 1085205077236 1132202147510 1162719725610 1213073729475 1240234373984 1281738280200 1293945311440 1356506346545 1358642577012 1367187498880 1464843748800 1550292967480 1552734373728 1617431639300 1627807615854 1698303221265 1708984373600 1811523436016 1860351560976 1937866209350 1940917967160 2050781248320 2054138181911 2070312498304 2170410154472 2264404295020 2325439451220 2426147458950 2480468747968 2563476560400 2587890622880 2713012693090 2717285154024 2830505368775 2906799314025 2929687497600 3100585934960 3105468747456 3234863278600 3255615231708 3396606442530 3417968747200 3623046872032 3720703121952 3875732418700 3881835934320 4069519039635 4101562496640 4108276363822 4340820308944 4528808590040 4650878902440 4852294917900 4960937495936 5126953120800 5175781245760 5426025386180 5434570308048 5661010737550 5813598628050 6162414545733 6201171869920 6210937494912 6469726557200 6511230463416 6782531732725 6793212885060 6835937494400 7246093744064 7441406243904 7751464837400 7763671868640 8139038079270 8216552727644 8491516106325 8681640617888 9057617180080 9301757804880 9704589835800 10253906241600 10270690909555 10351562491520 10852050772360 10869140616096 11322021475100 11627197256100 12324829091466 12402343739840 12939453114400 13022460926832 13565063465450 13586425770120 14378967273377 14492187488128 14882812487808 15502929674800 15527343737280 16278076158540 16433105455288 16983032212650 17363281235776 18115234360160 18603515609760 19409179671600 20347595198175 20507812483200 20541381819110 21704101544720 21738281232192 22644042950200 23254394512200 24649658182932 24804687479680 25878906228800 26044921853664 27130126930900 27172851540240 28757934546754 30812072728665 31005859349600 31054687474560 32556152317080 32866210910576 33966064425300 34726562471552 36230468720320 37207031219520 38818359343200 40695190396350 41082763638220 43136901820131 43408203089440 43476562464384 45288085900400 46508789024400 49299316365864 51353454547775 51757812457600 52089843707328 54260253861800 54345703080480 57515869093508 61624145457330 62011718699200 65112304634160 65732421821152 67932128850600 71894836366885 72460937440640 74414062439040 77636718686400 81390380792700 82165527276440 86273803640262 86816406178880 90576171800800 93017578048800 98598632731728 102706909095550 104179687414656 108520507723600 108691406160960 115031738187016 123248290914660 124023437398400 130224609268320 131464843642304 135864257701200 143789672733770 154060363643325 155273437372800 162780761585400 164331054552880 172547607280524 173632812357760 181152343601600 186035156097600 197197265463456 205413818191100 215684509100655 217041015447200 217382812321920 230063476374032 246496581829320 260449218536640 262929687284608 271728515402400 287579345467540 308120727286650 325561523170800 328662109105760 345095214561048 359474181834425 362304687203200 372070312195200 394394530926912 410827636382200 431369018201310 434082030894400 460126952748064 492993163658640 520898437073280 543457030804800 575158690935080 616241454573300 651123046341600 657324218211520 690190429122096 718948363668850 788789061853824 821655272764400 862738036402620 868164061788800 920253905496128 985986327317280 1078422545503275 1086914061609600 1150317381870160 1232482909146600 1302246092683200 1314648436423040 1380380858244192 1437896727337700 1643310545528800 1725476072805240 1840507810992256 1971972654634560 2156845091006550 2300634763740320 2464965818293200 2604492185366400 2760761716488384 2875793454675400 3286621091057600 3450952145610480 3943945309269120 4313690182013100 4601269527480640 4929931636586400 5521523432976768 5751586909350800 6573242182115200 6901904291220960 8627380364026200 9202539054961280 9859863273172800 11503173818701600 13803808582441920 17254760728052400 19719726546345600 23006347637403200 27607617164883840 34509521456104800 46012695274806400 69019042912209600 138038085824419200
- Sum of all divisors σ(n): 533587501311344640
- Sum of proper divisors (its aliquot sum) s(n): 395549415486925440
- 138038085824419200 is an abundant number, because the sum of its proper divisors (395549415486925440) is greater than itself. Its abundance is 257511329662506240
Bases of 138038085824419200
- Binary: 1111010100110100011101000010111110000101000010101100000002
- Hexadecimal: 0x1EA68E85F0A1580
- Base-36: 11R6F16U3LHC
Squares and roots of 138038085824419200
- 138038085824419200 squared (1380380858244192002) is 19054513138069720890131017328640000
- 138038085824419200 cubed (1380380858244192003) is 2630248519895391345835109871612382455663525888000000
-
The
square root of 138038085824419200 is 371534770.6802409093 -
The
cube root of 138038085824419200 is 516812.4605211427
Scales and comparisons
How big is 138038085824419200?- 138,038,085,824,419,200 seconds is equal to 4,389,184,149 years, 19 weeks, 6 days, 5 hours, 20 minutes.
-
To count from 1 to 138,038,085,824,419,200 would take you about thirteen billion, one hundred sixty-seven million, five hundred fifty-two thousand, four hundred forty-eight 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 138038085824419200 cubic inches would be around 43067.7 feet tall.
Recreational maths with 138038085824419200
- 138038085824419200 backwards is 002914428580830831
- The number of decimal digits it has is: 18
- The sum of 138038085824419200's digits is 66
- More coming soon!
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The information we have on file for 138038085824419200 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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