138313577963520
138,313,577,963,520 is an even composite number composed of six prime numbers multiplied together.
What does the number 138313577963520 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 1792 divisors.
138313577963520 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one thousand, seven hundred ninety-two divisors.
Prime factorization of 138313577963520:
213 × 33 × 5 × 19 × 29 × 613
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 5 × 19 × 29 × 61 × 61 × 61)See below for interesting mathematical facts about the number 138313577963520 from the Numbermatics database.
Names of 138313577963520
- Cardinal: 138313577963520 can be written as One hundred thirty-eight trillion, three hundred thirteen billion, five hundred seventy-seven million, nine hundred sixty-three thousand, five hundred twenty.
Scientific notation
- Scientific notation: 1.3831357796352 × 1014
Factors of 138313577963520
Divisors of 138313577963520
- Number of divisors d(n): 1792
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 16 18 19 20 24 27 29 30 32 36 38 40 45 48 54 57 58 60 61 64 72 76 80 87 90 95 96 108 114 116 120 122 128 135 144 145 152 160 171 174 180 183 190 192 216 228 232 240 244 256 261 270 285 288 290 304 305 320 342 348 360 366 380 384 432 435 456 464 480 488 512 513 522 540 549 551 570 576 580 608 610 640 684 696 720 732 760 768 783 855 864 870 912 915 928 960 976 1024 1026 1044 1080 1098 1102 1140 1152 1159 1160 1216 1220 1280 1305 1368 1392 1440 1464 1520 1536 1566 1647 1653 1710 1728 1740 1769 1824 1830 1856 1920 1952 2048 2052 2088 2160 2196 2204 2280 2304 2318 2320 2432 2440 2560 2565 2610 2736 2745 2755 2784 2880 2928 3040 3072 3132 3294 3306 3420 3456 3477 3480 3538 3648 3660 3712 3721 3840 3904 3915 4096 4104 4176 4320 4392 4408 4560 4608 4636 4640 4864 4880 4959 5120 5130 5220 5307 5472 5490 5510 5568 5760 5795 5856 6080 6144 6264 6588 6612 6840 6912 6954 6960 7076 7296 7320 7424 7442 7680 7808 7830 8192 8208 8235 8265 8352 8640 8784 8816 8845 9120 9216 9272 9280 9728 9760 9918 10240 10260 10431 10440 10614 10944 10980 11020 11136 11163 11520 11590 11712 12160 12288 12528 13176 13224 13680 13824 13908 13920 14152 14592 14640 14848 14877 14884 15360 15616 15660 15921 16416 16470 16530 16704 17280 17385 17568 17632 17690 18240 18432 18544 18560 18605 19456 19520 19836 20480 20520 20862 20880 21228 21888 21960 22040 22272 22326 23040 23180 23424 24320 24576 24795 25056 26352 26448 26535 27360 27648 27816 27840 28304 29184 29280 29696 29754 29768 30720 31232 31293 31320 31842 32832 32940 33060 33408 33489 33611 34560 34770 35136 35264 35380 36480 36864 37088 37120 37210 38912 39040 39672 40960 41040 41724 41760 42456 43776 43920 44080 44544 44652 46080 46360 46848 47763 48640 49590 50112 52155 52704 52896 53070 54720 55296 55632 55680 55815 56608 58368 58560 59392 59508 59536 61440 62464 62586 62640 63684 65664 65880 66120 66816 66978 67222 69120 69540 70272 70528 70699 70760 72960 73728 74176 74240 74385 74420 77824 78080 79344 79605 82080 83448 83520 84912 87552 87840 88160 89088 89304 92160 92720 93696 95526 97280 99180 100224 100467 100833 104310 105408 105792 106140 107909 109440 110592 111264 111360 111630 113216 116736 117120 118784 119016 119072 122880 124928 125172 125280 127368 131328 131760 132240 133632 133956 134444 138240 139080 140544 141056 141398 141520 145920 148352 148480 148770 148840 155648 156160 156465 158688 159210 164160 166896 167040 167445 168055 169824 175104 175680 176320 178176 178608 184320 185440 187392 191052 194560 198360 200448 200934 201666 208620 210816 211584 212097 212280 215818 218880 221184 222528 222720 223260 226432 226981 233472 234240 237568 238032 238144 238815 249856 250344 250560 254736 262656 263520 264480 267264 267912 268888 276480 278160 281088 282112 282796 283040 291840 296704 296960 297540 297680 302499 312320 312930 317376 318420 323727 328320 333792 334080 334890 336110 339648 350208 351360 352640 353495 356352 357216 368640 370880 374784 382104 389120 396720 400896 401868 403332 417240 421632 423168 424194 424560 431636 437760 445056 445440 446520 452864 453962 466944 468480 476064 476288 477630 499712 500688 501120 502335 504165 509472 525312 527040 528960 534528 535824 537776 539545 552960 556320 562176 564224 565592 566080 583680 593408 593920 595080 595360 604998 624640 625860 634752 636291 636840 647454 656640 667584 668160 669780 672220 679296 680943 700416 702720 705280 706990 712704 714432 741760 749568 764208 778240 793440 801792 803736 806664 834480 843264 846336 848388 849120 863272 875520 890112 890880 893040 905728 907497 907924 936960 952128 952576 955260 971181 1001376 1002240 1004670 1008330 1018944 1050624 1054080 1057920 1060485 1069056 1071648 1075552 1079090 1105920 1112640 1124352 1128448 1131184 1132160 1134905 1167360 1186816 1187840 1190160 1190720 1209996 1249280 1251720 1269504 1272582 1273680 1294908 1313280 1335168 1336320 1339560 1344440 1358592 1361886 1400832 1405440 1410560 1413980 1428864 1483520 1499136 1512495 1528416 1586880 1603584 1607472 1613328 1618635 1668960 1686528 1692672 1696776 1698240 1726544 1751040 1780224 1781760 1786080 1811456 1814994 1815848 1873920 1904256 1905152 1908873 1910520 1942362 2002752 2004480 2009340 2016660 2037888 2042829 2050271 2101248 2108160 2115840 2120970 2138112 2143296 2151104 2158180 2225280 2248704 2256896 2262368 2264320 2269810 2334720 2373632 2380320 2381440 2419992 2498560 2503440 2539008 2545164 2547360 2589816 2626560 2670336 2672640 2679120 2688880 2717184 2723772 2810880 2821120 2827960 2857728 2913543 2967040 3024990 3056832 3173760 3181455 3207168 3214944 3226656 3237270 3337920 3373056 3385344 3393552 3396480 3404715 3453088 3502080 3560448 3563520 3572160 3622912 3629988 3631696 3747840 3808512 3810304 3817746 3821040 3884724 4005504 4008960 4018680 4033320 4075776 4085658 4100542 4202496 4216320 4231680 4241940 4286592 4302208 4312639 4316360 4450560 4497408 4513792 4524736 4528640 4537485 4539620 4747264 4760640 4762880 4839984 4855905 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932333760 947872656 977342976 978186240 980557920 984130080 994489344 1000532248 1028782080 1032529920 1035033360 1045928448 1049738752 1053191840 1085936640 1104035584 1104988160 1107146340 1125598779 1161596160 1162142720 1164412530 1180956096 1184840820 1221678720 1239035904 1242040032 1243111680 1250665310 1263830208 1281761280 1303123968 1307410560 1312173440 1325985792 1371709440 1376706560 1380044480 1394571264 1421808984 1447915520 1476195120 1491734016 1500798372 1548794880 1552550040 1568892672 1574608128 1579787760 1628904960 1656053376 1657482240 1685106944 1737498624 1743214080 1771434144 1777261230 1858553856 1859428352 1863060048 1864667520 1875997965 1895745312 1954685952 1956372480 1961115840 1968260160 1988978688 2001064496 2057564160 2065059840 2070066720 2091856896 2099477504 2106383680 2171873280 2208071168 2209976320 2214292680 2251197558 2323192320 2324285440 2328825060 2361912192 2369681640 2443357440 2478071808 2484080064 2486223360 2501330620 2527660416 2606247936 2614821120 2624346880 2651971584 2760088960 2789142528 2843617968 2895831040 2952390240 2983468032 3001596744 3097589760 3105100080 3137785344 3149216256 3159575520 3257809920 3312106752 3314964480 3370213888 3376796337 3486428160 3542868288 3554522460 3717107712 3726120096 3729335040 3751995930 3791490624 3909371904 3922231680 3936520320 3977957376 4002128992 4115128320 4130119680 4140133440 4183713792 4198955008 4212767360 4343746560 4416142336 4419952640 4428585360 4502395116 4646384640 4648570880 4657650120 4723824384 4739363280 4886714880 4968160128 4972446720 5002661240 5055320832 5212495872 5229642240 5248693760 5520177920 5578285056 5627993895 5687235936 5904780480 5966936064 6003193488 6195179520 6210200160 6275570688 6298432512 6319151040 6515619840 6624213504 6629928960 6740427776 6753592674 6972856320 7085736576 7109044920 7434215424 7452240192 7458670080 7503991860 7582981248 7818743808 7844463360 7873040640 7955914752 8004257984 8280266880 8367427584 8397910016 8425534720 8687493120 8832284672 8857170720 9004790232 9292769280 9297141760 9315300240 9447648768 9478726560 9773429760 9936320256 9944893440 10005322480 10110641664 10459284480 10497387520 11040355840 11255987790 11374471872 11809560960 11933872128 12006386976 12390359040 12420400320 12551141376 12596865024 12638302080 13031239680 13248427008 13259857920 13480855552 13507185348 13945712640 14171473152 14218089840 14904480384 14917340160 15007983720 15165962496 15637487616 15688926720 15746081280 16008515968 16560533760 16734855168 16795820032 16851069440 16883981685 17664569344 17714341440 18009580464 18585538560 18630600480 18895297536 18957453120 19546859520 19872640512 19889786880 20010644960 20221283328 20918568960 20994775040 22080711680 22511975580 22748943744 23619121920 23867744256 24012773952 24840800640 25102282752 25193730048 25276604160 26062479360 26496854016 26961711104 27014370696 27891425280 28342946304 28436179680 29808960768 29834680320 30015967440 30331924992 31377853440 31492162560 32017031936 33121067520 33702138880 33767963370 35329138688 35428682880 36019160928 37171077120 37261200960 37790595072 37914906240 39093719040 39745281024 39779573760 40021289920 40442566656 41837137920 41989550080 44161423360 45023951160 45497887488 47238243840 48025547904 49681601280 50204565504 50387460096 50553208320 52993708032 53923422208 54028741392 56685892608 56872359360 59617921536 59669360640 60031934880 60663849984 62755706880 62984325120 64034063872 66242135040 67404277760 67535926740 70857365760 72038321856 74522401920 75581190144 75829812480 78187438080 79490562048 80042579840 80885133312 83674275840 83979100160 88322846720 90047902320 90995774976 94476487680 96051095808 99363202560 101106416640 105987416064 108057482784 113371785216 113744718720 119235843072 119338721280 120063869760 121327699968 125511413760 125968650240 128068127744 132484270080 134808555520 135071853480 141714731520 144076643712 149044803840 151162380288 151659624960 158981124096 160085159680 161770266624 176645693440 180095804640 181991549952 188952975360 192102191616 198726405120 202212833280 216114965568 226743570432 227489437440 238471686144 240127739520 242655399936 251022827520 251937300480 256136255488 264968540160 269617111040 270143706960 283429463040 288153287424 298089607680 303319249920 317962248192 320170319360 360191609280 363983099904 377905950720 384204383232 397452810240 404425666560 432229931136 453487140864 454978874880 476943372288 480255479040 485310799872 512272510976 529937080320 540287413920 566858926080 576306574848 596179215360 606638499840 640340638720 720383218560 727966199808 755811901440 768408766464 794905620480 808851333120 864459862272 909957749760 953886744576 960510958080 1024545021952 1080574827840 1133717852160 1152613149696 1192358430720 1213276999680 1280681277440 1440766437120 1455932399616 1536817532928 1589811240960 1728919724544 1819915499520 1921021916160 2161149655680 2267435704320 2305226299392 2384716861440 2426553999360 2561362554880 2881532874240 3073635065856 3457839449088 3639830999040 3842043832320 4322299311360 4610452598784 4769433722880 5122725109760 5763065748480 6915678898176 7279661998080 7684087664640 8644598622720 9220905197568 11526131496960 13831357796352 15368175329280 17289197245440 23052262993920 27662715592704 34578394490880 46104525987840 69156788981760 138313577963520
- Sum of all divisors σ(n): 544407352128000
- Sum of proper divisors (its aliquot sum) s(n): 406093774164480
- 138313577963520 is an abundant number, because the sum of its proper divisors (406093774164480) is greater than itself. Its abundance is 267780196200960
Bases of 138313577963520
- Binary: 111110111001011101000111010111010100000000000002
- Hexadecimal: 0x7DCBA3AEA000
- Base-36: 1D10DP62O0
Squares and roots of 138313577963520
- 138313577963520 squared (1383135779635202) is 19130645849070725350450790400
- 138313577963520 cubed (1383135779635203) is 2646028076137934037702052672367606366208000
-
The
square root of 138313577963520 is 11760679.3155633657 -
The
cube root of 138313577963520 is 51715.6044821511
Scales and comparisons
How big is 138313577963520?- 138,313,577,963,520 seconds is equal to 4,397,943 years, 49 weeks, 1 day, 19 hours, 12 minutes.
-
To count from 1 to 138,313,577,963,520 would take you about ten million, nine hundred ninety-four thousand, eight hundred fifty-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 138313577963520 cubic inches would be around 4309.6 feet tall.
Recreational maths with 138313577963520
- 138313577963520 backwards is 025369775313831
- The number of decimal digits it has is: 15
- The sum of 138313577963520's digits is 63
- More coming soon!
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"Number 138313577963520 - Facts about the integer". Numbermatics.com. 2024. Web. 14 June 2024.
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Numbermatics. (2024). Number 138313577963520 - Facts about the integer. Retrieved 14 June 2024, from https://numbermatics.com/n/138313577963520/
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The information we have on file for 138313577963520 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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