138225932507520
138,225,932,507,520 is an even composite number composed of seven prime numbers multiplied together.
138225932507520 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of one thousand, nine hundred twenty divisors.
Prime factorization of 138225932507520:
27 × 34 × 5 × 11 × 132 × 257 × 5581
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 5 × 11 × 13 × 13 × 257 × 5581)See below for interesting mathematical facts about the number 138225932507520 from the Numbermatics database.
Names of 138225932507520
- Cardinal: 138225932507520 can be written as One hundred thirty-eight trillion, two hundred twenty-five billion, nine hundred thirty-two million, five hundred seven thousand, five hundred twenty.
Scientific notation
- Scientific notation: 1.3822593250752 × 1014
Factors of 138225932507520
Divisors of 138225932507520
- Number of divisors d(n): 1920
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 11 12 13 15 16 18 20 22 24 26 27 30 32 33 36 39 40 44 45 48 52 54 55 60 64 65 66 72 78 80 81 88 90 96 99 104 108 110 117 120 128 130 132 135 143 144 156 160 162 165 169 176 180 192 195 198 208 216 220 234 240 257 260 264 270 286 288 297 312 320 324 330 338 351 352 360 384 390 396 405 416 429 432 440 468 480 495 507 514 520 528 540 572 576 585 594 624 640 648 660 676 702 704 715 720 771 780 792 810 832 845 858 864 880 891 936 960 990 1014 1028 1040 1053 1056 1080 1144 1152 1170 1188 1248 1285 1287 1296 1320 1352 1404 1408 1430 1440 1485 1521 1542 1560 1584 1620 1664 1690 1716 1728 1755 1760 1782 1859 1872 1920 1980 2028 2056 2080 2106 2112 2145 2160 2288 2313 2340 2376 2496 2535 2570 2574 2592 2640 2704 2808 2827 2860 2880 2970 3042 3084 3120 3168 3240 3341 3380 3432 3456 3510 3520 3564 3718 3744 3855 3861 3960 4056 4112 4160 4212 4224 4290 4320 4455 4563 4576 4626 4680 4752 4992 5070 5140 5148 5184 5265 5280 5408 5577 5581 5616 5654 5720 5760 5940 6084 6168 6240 6336 6435 6480 6682 6760 6864 6939 7020 7040 7128 7436 7488 7605 7710 7722 7920 8112 8224 8320 8424 8481 8580 8640 8910 9126 9152 9252 9295 9360 9504 10023 10140 10280 10296 10368 10530 10560 10816 11154 11162 11232 11308 11440 11565 11583 11880 12168 12336 12480 12672 12870 12960 13364 13520 13689 13728 13878 14040 14135 14256 14872 14976 15210 15420 15444 15840 16224 16448 16705 16731 16743 16848 16962 17160 17280 17820 18252 18304 18504 18590 18720 19008 19305 20046 20280 20560 20592 20817 21060 21120 21632 22308 22324 22464 22616 22815 22880 23130 23166 23760 24336 24672 24960 25443 25740 25920 26728 27040 27378 27456 27756 27885 27905 28080 28270 28512 29744 30069 30420 30840 30888 31680 32448 32896 33410 33462 33486 33696 33924 34320 34695 35640 36504 36751 37008 37180 37440 38016 38610 40092 40560 41120 41184 41634 42120 42405 43433 44616 44648 44928 45232 45630 45760 46260 46332 47520 48672 49344 50115 50193 50229 50886 51480 51840 53456 54080 54756 54912 55512 55770 55810 56160 56540 57024 57915 59488 60138 60840 61391 61680 61776 63360 64896 66820 66924 66972 67392 67848 68445 68640 69390 71280 72553 73008 73502 74016 74360 74880 76329 77220 80184 81120 82240 82368 83268 83655 83715 84240 84810 86866 89232 89296 90207 90464 91260 91520 92520 92664 95040 97344 98688 100230 100386 100458 101772 102960 104085 106912 108160 109512 110253 111024 111540 111620 112320 113080 114048 115830 118976 120276 121680 122782 123360 123552 127215 130299 133640 133848 133944 134784 135696 136890 137280 138780 142560 145106 146016 147004 148032 148720 150345 150579 150687 152658 154440 160368 162240 164480 164736 166536 167310 167430 168480 169620 173732 178464 178592 180414 180928 182520 183755 184173 185040 185328 190080 194688 200460 200772 200916 203544 205920 208170 213824 217165 217659 219024 220506 222048 223080 223240 224640 226160 228987 231660 237952 240552 243360 245564 246720 247104 250965 251145 254430 260598 267280 267696 267888 270621 271392 273780 274560 277560 285120 290212 292032 294008 296064 297440 300690 301158 301374 305316 306955 308880 320736 324480 330759 333072 334620 334860 336960 339240 347464 356928 357184 360828 361856 362765 365040 367510 368346 370080 370656 381645 390897 400920 401544 401832 407088 411840 416340 427648 434330 435318 438048 441012 444096 446160 446480 451035 452061 452320 457974 463320 477763 481104 486720 491128 493440 494208 501930 502290 508860 521196 534560 535392 535776 541242 542784 547560 551265 552519 555120 570240 580424 584064 588016 594880 601380 602316 602748 610632 613910 617760 641472 651495 652977 661518 666144 669240 669720 673920 678480 694928 713856 714368 721656 725530 730080 735020 736692 740160 741312 752895 753435 763290 781794 798083 801840 803088 803664 814176 823680 832680 868660 870636 876096 882024 888192 892320 892960 902070 904122 904640 915948 920865 926640 943189 955526 962208 973440 982256 992277 1003860 1004580 1017720 1042392 1069120 1070784 1071552 1082484 1085568 1088295 1095120 1102530 1105038 1110240 1144935 1160848 1172691 1176032 1189760 1202760 1204632 1205496 1221264 1227820 1235520 1282944 1302990 1305954 1323036 1332288 1338480 1339440 1353105 1356960 1389856 1433289 1434317 1443312 1451060 1460160 1470040 1473384 1480320 1482624 1505790 1506870 1526580 1563588 1596166 1603680 1606176 1607328 1628352 1653795 1657557 1665360 1737320 1741272 1752192 1764048 1784640 1785920 1804140 1808244 1809280 1831896 1841730 1853280 1886378 1911052 1924416 1954485 1958931 1964512 1984554 2007720 2009160 2035440 2084784 2138240 2141568 2143104 2164968 2176590 2190240 2205060 2210076 2220480 2260305 2289870 2321696 2345382 2352064 2388815 2394249 2405520 2409264 2410992 2442528 2455640 2471040 2605980 2611908 2646072 2664576 2676960 2678880 2706210 2713920 2762595 2779712 2829567 2866578 2868634 2886624 2902120 2920320 2940080 2946768 2976831 3011580 3013740 3053160 3127176 3192332 3207360 3212352 3214656 3256704 3264885 3307590 3315114 3330720 3474640 3482544 3518073 3528096 3569280 3571840 3608280 3616488 3663792 3683460 3706560 3772756 3822104 3848832 3908970 3917862 3929024 3969108 3990415 4015440 4018320 4070880 4169568 4299867 4302951 4329936 4353180 4380480 4410120 4420152 4440960 4520610 4579740 4643392 4690764 4704128 4715945 4777630 4788498 4811040 4818528 4821984 4885056 4911280 4961385 4972671 5211960 5223816 5292144 5353920 5357760 5412420 5427840 5525190 5559424 5659134 5733156 5737268 5773248 5804240 5863455 5876793 5880160 5893536 5953662 6023160 6027480 6106320 6254352 6384664 6414720 6424704 6429312 6529770 6615180 6630228 6661440 6949280 6965088 7036146 7056192 7166445 7171585 7182747 7216560 7232976 7327584 7366920 7413120 7545512 7644208 7817940 7835724 7858048 7938216 7980830 8030880 8036640 8141760 8287785 8339136 8488701 8599734 8605902 8659872 8706360 8760960 8820240 8840304 9041220 9159480 9286784 9381528 9431890 9555260 9576996 9622080 9637056 9643968 9770112 9794655 9822560 9922770 9945342 10375079 10423920 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76615968 77397606 77453118 78357240 78887435 79382160 79562736 83000632 83391360 83581056 84887010 85997340 86059020 86192964 86598720 88403040 90546144 91730496 91796288 93230605 93375711 93815280 94028688 94664922 95258592 95769960 96370560 96439680 99453420 101864412 102154624 103196808 103270824 103750790 104476320 105842880 106083648 107741205 111876726 112578336 113182680 114663120 114745360 114923952 116179677 117535860 117870720 119073240 120728192 124500948 125087040 125371584 126219896 127011456 127330515 127693280 128996010 129088530 129289446 132604560 135819216 137595744 137694432 139301760 140722920 141997383 143654940 144659520 146551680 149168968 150104448 150910240 152796618 152884160 153231936 154795212 154906236 155626185 156714480 157774870 158764320 159125472 166001264 167815089 169774020 171994680 172118040 172385928 173197440 176806080 181092288 183460992 183592576 186461210 186751422 187630560 188057376 189329844 190517184 191539920 193494015 193632795 198906840 203728824 205107331 206393616 206541648 207501580 208952640 211685760 212167296 215482410 223753452 225156672 226365360 229326240 229490720 229847904 232359354 235071720 236662305 238146480 242399573 249001896 250174080 250743168 252439792 254661030 255386560 257992020 258177060 258578892 265209120 271638432 275191488 275388864 279691815 280127133 281445840 283994766 287309880 289319040 298337936 301820480 305593236 305768320 306463872 309590424 309812472 311252370 313428960 315549740 317528640 318250944 323223615 332002528 335630178 339548040 343989360 344236080 344771856 353612160 362184576 372922420 373502844 375261120 376114752 378659688 381034368 381991545 383079840 386988030 387265590 397813680 407457648 410214662 412787232 413083296 415003160 417905280 425992149 430964820 447506904 450313344 452730720 458652480 458981440 459695808 464718708 466878555 470143440 473324610 476292960 484799146 498003792 503445267 504879584 509322060 510773120 515984040 516354120 517157784 530418240 543276864 550382976 550777728 559383630 560254266 562891680 567989532 574619760 580898385 596675872 603640960 611186472 615321993 619180848 619624944 622504740 626857920 631099480 635057280 636501888 646447230 664005056 671260356 679096080 687978720 688472160 689543712 709986915 727198719 745844840 747005688 750522240 752229504 757319376 763983090 766159680 773976060 774531180 795627360 814915296 820429324 825574464 826166592 830006320 839075445 840381399 851984298 861929640 895013808 905461440 917304960 917962880 919391616 929437416 933757110 940286880 946649220 952585920 969598292 996007584 1006890534 1009759168 1018644120 1025536655 1031968080 1032708240 1034315568 1060836480 1086553728 1118767260 1120508532 1125783360 1135979064 1149239520 1161796770 1193351744 1211997865 1222372944 1230643986 1238361696 1239249888 1245009480 1253715840 1262198960 1277976447 1292894460 1328010112 1342520712 1358192160 1375957440 1376944320 1379087424 1400635665 1419973830 1454397438 1491689680 1494011376 1510335801 1514638752 1527966180 1532319360 1547952120 1549062360 1591254720 1629830592 1640858648 1651148928 1652333184 1660012640 1678150890 1680762798 1703968596 1723859280 1790027616 1810922880 1845965979 1858874832 1867514220 1880573760 1893298440 1905171840 1939196584 1992015168 2013781068 2019518336 2037288240 2051073310 2063936160 2065416480 2068631136 2129960745 2181596157 2237534520 2241017064 2251566720 2271958128 2298479040 2323593540 2386703488 2423995730 2444745888 2461287972 2476723392 2478499776 2490018960 2517226335 2524397920 2555952894 2585788920 2666395303 2685041424 2716384320 2751914880 2753888640 2758174848 2801271330 2839947660 2908794876 2983379360 2988022752 3020671602 3029277504 3055932360 3076609965 3095904240 3098124720 3182509440 3259661184 3281717296 3320025280 3356301780 3361525596 3407937192 3447718560 3580055232 3635993595 3691931958 3717749664 3735028440 3761147520 3786596880 3878393168 3984030336 4027562136 4074576480 4102146620 4127872320 4130832960 4137262272 4201906995 4259921490 4363192314 4475069040 4482034128 4543916256 4596958080 4647187080 4847991460 4889491776 4922575944 4953446784 4956999552 4980037920 5034452670 5048795840 5111905788 5171577840 5332790606 5370082848 5432768640 5537897937 5602542660 5679895320 5817589752 5966758720 5976045504 6041343204 6058555008 6111864720 6153219930 6191808480 6196249440 6389882235 6544788471 6563434592 6640050560 6712603560 6723051192 6815874384 6895437120 7160110464 7271987190 7383863916 7435499328 7470056880 7551679005 7573193760 7756786336 7999185909 8055124272 8149152960 8204293240 8255744640 8261665920 8274524544 8403813990 8519842980 8726384628 8950138080 8964068256 9087832512 9229829895 9294374160 9695982920 9778983552 9845151888 9960075840 10068905340 10097591680 10223811576 10343155680 10665581212 10740165696 10907980785 11075795874 11205085320 11359790640 11635179504 11933517440 11952091008 12082686408 12223729440 12306439860 12383616960 12392498880 12779764470 13089576942 13126869184 13331976515 13425207120 13446102384 13631748768 13790874240 14543974380 14767727832 14870998656 14940113760 15103358010 15146387520 15513572672 15998371818 16110248544 16298305920 16408586480 16613693811 16807627980 17039685960 17452769256 17900276160 17928136512 18175665024 18459659790 18588748320 19391965840 19634365413 19690303776 19920151680 20137810680 20447623152 20686311360 21331162424 21480331392 21815961570 22151591748 22410170640 22719581280 23270359008 23997557727 24165372816 24447458880 24612879720 24767233920 24784997760 25559528940 26179153884 26253738368 26663953030 26850414240 26892204768 27263497536 27689489685 29087948760 29535455664 29880227520 30206716020 30292775040 31027145344 31996743636 32220497088 32723942355 32817172960 33227387622 33615255960 34079371920 34905538512 35800552320 35856273024 36919319580 37177496640 38783931680 39268730826 39380607552 39995929545 40275621360 40895246304 41372622720 42662324848 43631923140 44303183496 44820341280 45439162560 46540718016 47995115454 48330745632 48894917760 49225759440 51119057880 52358307768 53327906060 53700828480 53784409536 54526995072 55378979370 58175897520 59070911328 59760455040 60413432040 63993487272 64440994176 65447884710 65634345920 66454775244 67230511920 68158743840 69811077024 71992673181 73838639160 74354993280 77567863360 78537461652 78761215104 79991859090 80551242720 81790492608 83068469055 85324649696 87263846280 88606366992 89640682560 90878325120 93081436032 95990230908 96661491264 98171827065 98451518880 102238115760 104716615536 106655812120 107401656960 107568819072 110757958740 116351795040 118141822656 119987788635 120826864080 127986974544 130895769420 131268691840 132909550488 134461023840 136317487680 139622154048 143985346362 147677278320 155135726720 157074923304 159983718180 161102485440 163580985216 166136938110 170649299392 174527692560 177212733984 179281365120 191980461816 193322982528 196343654130 196903037760 204476231520 209433231072 213311624240 215978019543 221515917480 232703590080 236283645312 239975577270 241653728160 255973949088 261791538840 265819100976 268922047680 272634975360 279244308096 287970692724 295354556640 314149846608 319967436360 322204970880 332273876220 341298598784 349055385120 354425467968 359963365905 383960923632 392687308260 393806075520 408952463040 418866462144 426623248480 431956039086 443031834960 465407180160 479951154540 483307456320 511947898176 523583077680 531638201952 537844095360 575941385448 590709113280 628299693216 639934872720 664547752440 698110770240 708850935936 719926731810 767921847264 785374616520 817904926080 837732924288 853246496960 863912078172 886063669920 959902309080 966614912640 1023895796352 1047166155360 1063276403904 1079890097715 1151882770896 1181418226560 1256599386432 1279869745440 1329095504880 1396221540480 1439853463620 1535843694528 1570749233040 1706492993920 1727824156344 1772127339840 1919804618160 2094332310720 2126552807808 2159780195430 2303765541792 2513198772864 2559739490880 2658191009760 2879706927240 3071687389056 3141498466080 3455648312688 3544254679680 3839609236320 4188664621440 4319560390860 4607531083584 5119478981760 5316382019520 5759413854480 6282996932160 6911296625376 7679218472640 8639120781720 9215062167168 10632764039040 11518827708960 12565993864320 13822593250752 15358436945280 17278241563440 23037655417920 27645186501504 34556483126880 46075310835840 69112966253760 138225932507520
- Sum of all divisors σ(n): 585488912294880
- Sum of proper divisors (its aliquot sum) s(n): 447262979787360
- 138225932507520 is an abundant number, because the sum of its proper divisors (447262979787360) is greater than itself. Its abundance is 309037047279840
Bases of 138225932507520
- Binary: 111110110110111001110111001101100011001100000002
- Hexadecimal: 0x7DB73B9B1980
- Base-36: 1CZW47BS00
Squares and roots of 138225932507520
- 138225932507520 squared (1382259325075202) is 19106408417573474274856550400
- 138225932507520 cubed (1382259325075203) is 2641001120388623060206960509320169259008000
-
The
square root of 138225932507520 is 11756952.5178729883 -
The
cube root of 138225932507520 is 51704.6785953775
Scales and comparisons
How big is 138225932507520?- 138,225,932,507,520 seconds is equal to 4,395,157 years, 4 weeks, 5 days, 19 hours, 12 minutes.
-
To count from 1 to 138,225,932,507,520 would take you about ten million, nine hundred eighty-seven thousand, eight hundred ninety-two 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 138225932507520 cubic inches would be around 4308.7 feet tall.
Recreational maths with 138225932507520
- 138225932507520 backwards is 025705239522831
- 138225932507520 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 138225932507520's digits is 54
- More coming soon!
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"Number 138225932507520 - Facts about the integer". Numbermatics.com. 2024. Web. 26 September 2024.
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Numbermatics. (2024). Number 138225932507520 - Facts about the integer. Retrieved 26 September 2024, from https://numbermatics.com/n/138225932507520/
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The information we have on file for 138225932507520 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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