138733323305062400
138,733,323,305,062,400 is an even composite number composed of five prime numbers multiplied together.
What does the number 138733323305062400 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 1638 divisors.
138733323305062400 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one thousand, six hundred thirty-eight divisors.
Prime factorization of 138733323305062400:
212 × 52 × 176 × 372 × 41
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 17 × 17 × 17 × 17 × 17 × 17 × 37 × 37 × 41)See below for interesting mathematical facts about the number 138733323305062400 from the Numbermatics database.
Names of 138733323305062400
- Cardinal: 138733323305062400 can be written as One hundred thirty-eight quadrillion, seven hundred thirty-three trillion, three hundred twenty-three billion, three hundred five million, sixty-two thousand, four hundred.
Scientific notation
- Scientific notation: 1.387333233050624 × 1017
Factors of 138733323305062400
Divisors of 138733323305062400
- Number of divisors d(n): 1638
-
Complete list of divisors:
1 2 4 5 8 10 16 17 20 25 32 34 37 40 41 50 64 68 74 80 82 85 100 128 136 148 160 164 170 185 200 205 256 272 289 296 320 328 340 370 400 410 425 512 544 578 592 629 640 656 680 697 740 800 820 850 925 1024 1025 1088 1156 1184 1258 1280 1312 1360 1369 1394 1445 1480 1517 1600 1640 1700 1850 2048 2050 2176 2312 2368 2516 2560 2624 2720 2738 2788 2890 2960 3034 3145 3200 3280 3400 3485 3700 4096 4100 4352 4624 4736 4913 5032 5120 5248 5440 5476 5576 5780 5920 6068 6290 6400 6560 6800 6845 6970 7225 7400 7585 8200 8704 9248 9472 9826 10064 10240 10496 10693 10880 10952 11152 11560 11840 11849 12136 12580 12800 13120 13600 13690 13940 14450 14800 15170 15725 16400 17408 17425 18496 18944 19652 20128 20480 20992 21386 21760 21904 22304 23120 23273 23680 23698 24272 24565 25160 25600 25789 26240 27200 27380 27880 28900 29600 30340 31450 32800 34225 34816 34850 36992 37888 37925 39304 40256 41984 42772 43520 43808 44608 46240 46546 47360 47396 48544 49130 50320 51200 51578 52480 53465 54400 54760 55760 56129 57800 59200 59245 60680 62900 65600 68450 69632 69700 73984 75776 75850 78608 80512 83521 83968 85544 87040 87616 89216 92480 93092 94720 94792 97088 98260 100640 102400 103156 104960 106930 108800 109520 111520 112258 115600 116365 118400 118490 121360 122825 125800 128945 131200 136900 139400 147968 151552 151700 157216 161024 167042 167936 171088 174080 175232 178432 181781 184960 186184 189440 189584 194176 196520 201280 201433 206312 209920 213860 217600 219040 223040 224516 231200 232730 236800 236980 242720 245650 251600 257890 262400 267325 273800 278800 280645 295936 296225 303400 314432 322048 334084 342176 348160 350464 356864 363562 369920 372368 378880 379168 388352 393040 395641 402560 402866 412624 417605 419840 427720 435200 438080 438413 446080 449032 462400 465460 473600 473960 485440 491300 503200 515780 524800 534650 547600 557600 561290 581825 591872 592450 606800 628864 644096 644725 668168 684352 700928 713728 727124 739840 744736 757760 758336 776704 786080 791282 805120 805732 825248 835210 839680 855440 870400 876160 876826 892160 898064 908905 924800 930920 947200 947920 954193 970880 982600 1006400 1007165 1031560 1049600 1069300 1095200 1115200 1122580 1163650 1183744 1184900 1213600 1257728 1288192 1289450 1336336 1368704 1401856 1403225 1419857 1427456 1454248 1479680 1489472 1516672 1553408 1572160 1582564 1610240 1611464 1650496 1670420 1710880 1740800 1752320 1753652 1784320 1796128 1817810 1849600 1861840 1894400 1895840 1908386 1941760 1965200 1978205 2012800 2014330 2063120 2088025 2099200 2138600 2190400 2192065 2230400 2245160 2327300 2369800 2427200 2515456 2576384 2578900 2672672 2737408 2803712 2806450 2839714 2854912 2908496 2959360 2978944 3033344 3090277 3106816 3144320 3165128 3220480 3222928 3300992 3340840 3421760 3424361 3504640 3507304 3568640 3592256 3635620 3699200 3723680 3788800 3791680 3816772 3883520 3930400 3956410 4025600 4028660 4126240 4176050 4198400 4277200 4380800 4384130 4460800 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336222137600 344365926400 344627691040 350654566400 352975074560 357236021200 365888796800 366166921730 372570476800 375036016720 381594675200 388756846600 395856131600 398475767765 405444342400 415264793600 430784613800 441218843200 457262107136 468337659904 468795020900 494337413120 497608763648 506695848448 518968758272 528709311376 537955420160 551404305664 564760119296 571577633920 585422074880 585867074768 596112762880 600057626752 617921766400 622010954560 633369810560 637561228424 648710947840 660886639220 672444275200 688731852800 689255382080 705950149120 714472042400 731777593600 732333843460 745140953600 750072033440 763189350400 777513693200 791712263200 796951535530 810888684800 826108299025 830529587200 861569227600 882437686400 914524214272 915417304325 937590041800 995217527296 1013391696896 1057418622752 1075910840320 1102808611328 1129520238592 1143155267840 1170844149760 1171734149536 1192225525760 1200115253504 1235843532800 1244021909120 1266739621120 1275122456848 1297421895680 1321773278440 1344888550400 1354817610401 1378510764160 1411900298240 1428944084800 1463555187200 1464667686920 1490281907200 1500144066880 1555027386400 1583424526400 1593903071060 1621777369600 1652216598050 1661059174400 1723138455200 1764875372800 1829048428544 1830834608650 1875180083600 1990435054592 1992378838825 2026783393792 2114837245504 2205617222656 2286310535680 2341688299520 2343468299072 2400230507008 2471687065600 2488043818240 2533479242240 2550244913696 2594843791360 2643546556880 2689777100800 2709635220802 2757021528320 2823800596480 2857888169600 2927110374400 2929335373840 2980563814400 3000288133760 3110054772800 3166849052800 3187806142120 3243554739200 3304433196100 3446276910400 3529750745600 3658096857088 3661669217300 3750360167200 3980870109184 3984757677650 4053566787584 4229674491008 4411234445312 4572621071360 4686936598144 4800461014016 4976087636480 5066958484480 5100489827392 5287093113760 5379554201600 5419270441604 5514043056640 5647601192960 5715776339200 5854220748800 5858670747680 5961127628800 6000576267520 6220109545600 6333698105600 6375612284240 6487109478400 6608866392200 6774088052005 6892553820800 7059501491200 7323338434600 7500720334400 7961740218368 7969515355300 8459348982016 8822468890624 9145242142720 9373873196288 9600922028032 9952175272960 10133916968960 10200979654784 10574186227520 10838540883208 11028086113280 11431552678400 11708441497600 11717341495360 12001152535040 12440219091200 12667396211200 12751224568480 12974218956800 13217732784400 13548176104010 13785107641600 14119002982400 14646676869200 15001440668800 15939030710600 16918697964032 18290484285440 18747746392576 19201844056064 19904350545920 20267833937920 20401959309568 21148372455040 21677081766416 22056172226560 22863105356800 23434682990720 24002305070080 24880438182400 25334792422400 25502449136960 26435465568800 27096352208020 27570215283200 28238005964800 29293353738400 30002881337600 31878061421200 33837395928064 33870440260025 37495492785152 39808701091840 40803918619136 42296744910080 43354163532832 44112344453120 45726210713600 46869365981440 48004610140160 49760876364800 50669584844800 51004898273920 52870931137600 54192704416040 55140430566400 58586707476800 60005762675200 63756122842400 67674791856128 67740880520050 74990985570304 81607837238272 84593489820160 86708327065664 91452421427200 93738731962880 96009220280320 99521752729600 101339169689600 102009796547840 105741862275200 108385408832080 110280861132800 117173414953600 120011525350400 127512245684800 135349583712256 135481761040100 149981971140608 163215674476544 169186979640320 173416654131328 187477463925760 199043505459200 204019593095680 211483724550400 216770817664160 220561722265600 234346829907200 240023050700800 255024491369600 270963522080200 326431348953088 338373959280640 346833308262656 374954927851520 408039186191360 422967449100800 433541635328320 468693659814400 480046101401600 510048982739200 541927044160400 676747918561280 693666616525312 749909855703040 816078372382720 845934898201600 867083270656640 937387319628800 1020097965478400 1083854088320800 1387333233050624 1632156744765440 1691869796403200 1734166541313280 1874774639257600 2040195930956800 2167708176641600 2774666466101248 3383739592806400 3468333082626560 3749549278515200 4080391861913600 4335416353283200 5549332932202496 6936666165253120 8160783723827200 8670832706566400 13873332330506240 17341665413132800 27746664661012480 34683330826265600 69366661652531200 138733323305062400
- Sum of all divisors σ(n): 384826059312468858
- Sum of proper divisors (its aliquot sum) s(n): 246092736007406458
- 138733323305062400 is an abundant number, because the sum of its proper divisors (246092736007406458) is greater than itself. Its abundance is 107359412702344058
Bases of 138733323305062400
- Binary: 1111011001110000100111000111101100001101110010000000000002
- Hexadecimal: 0x1ECE138F61B9000
- Base-36: 11Y0UWVNKPA8
Squares and roots of 138733323305062400
- 138733323305062400 squared (1387333233050624002) is 19246934995266970041773467893760000
- 138733323305062400 cubed (1387333233050624003) is 2670191255329892208336812535806650136473370624000000
-
The
square root of 138733323305062400 is 372469224.6415298137 -
The
cube root of 138733323305062400 is 517678.6607159725
Scales and comparisons
How big is 138733323305062400?- 138,733,323,305,062,400 seconds is equal to 4,411,290,550 years, 39 weeks, 2 days, 6 hours, 13 minutes, 20 seconds.
-
To count from 1 to 138,733,323,305,062,400 would take you about thirteen billion, two hundred thirty-three million, eight hundred seventy-one thousand, six hundred fifty-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 138733323305062400 cubic inches would be around 43139.9 feet tall.
Recreational maths with 138733323305062400
- 138733323305062400 backwards is 004260503323337831
- The number of decimal digits it has is: 18
- The sum of 138733323305062400's digits is 53
- More coming soon!
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"Number 138733323305062400 - Facts about the integer". Numbermatics.com. 2024. Web. 25 June 2024.
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Numbermatics. (2024). Number 138733323305062400 - Facts about the integer. Retrieved 25 June 2024, from https://numbermatics.com/n/138733323305062400/
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Numbermatics. 2024. "Number 138733323305062400 - Facts about the integer". https://numbermatics.com/n/138733323305062400/
The information we have on file for 138733323305062400 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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