138073563945011302400
138,073,563,945,011,302,400 is an even composite number composed of six prime numbers multiplied together.
What does the number 138073563945011302400 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 2106 divisors.
138073563945011302400 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of two thousand, one hundred six divisors.
Prime factorization of 138073563945011302400:
212 × 52 × 132 × 172 × 1061 × 51012
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 13 × 13 × 17 × 17 × 1061 × 5101 × 5101)See below for interesting mathematical facts about the number 138073563945011302400 from the Numbermatics database.
Names of 138073563945011302400
- Cardinal: 138073563945011302400 can be written as One hundred thirty-eight quintillion, seventy-three quadrillion, five hundred sixty-three trillion, nine hundred forty-five billion, eleven million, three hundred two thousand, four hundred.
Scientific notation
- Scientific notation: 1.380735639450113024 × 1020
Factors of 138073563945011302400
Divisors of 138073563945011302400
- Number of divisors d(n): 2106
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Complete list of divisors:
1 2 4 5 8 10 13 16 17 20 25 26 32 34 40 50 52 64 65 68 80 85 100 104 128 130 136 160 169 170 200 208 221 256 260 272 289 320 325 338 340 400 416 425 442 512 520 544 578 640 650 676 680 800 832 845 850 884 1024 1040 1061 1088 1105 1156 1280 1300 1352 1360 1445 1600 1664 1690 1700 1768 2048 2080 2122 2176 2210 2312 2560 2600 2704 2720 2873 2890 3200 3328 3380 3400 3536 3757 4096 4160 4225 4244 4352 4420 4624 5101 5120 5200 5305 5408 5440 5525 5746 5780 6400 6656 6760 6800 7072 7225 7514 8320 8450 8488 8704 8840 9248 10202 10240 10400 10610 10816 10880 11050 11492 11560 12800 13312 13520 13600 13793 14144 14365 14450 15028 16640 16900 16976 17408 17680 18037 18496 18785 20404 20480 20800 21220 21632 21760 22100 22984 23120 25505 25600 26525 26624 27040 27200 27586 28288 28730 28900 30056 33280 33800 33952 34816 35360 36074 36992 37570 40808 41600 42440 43264 43520 44200 45968 46240 48841 51010 51200 53050 53248 54080 54400 55172 56576 57460 57800 60112 66313 66560 67600 67904 68965 69632 70720 71825 72148 73984 75140 81616 83200 84880 86528 86717 87040 88400 90185 91936 92480 93925 97682 102020 102400 106100 108160 108800 110344 113152 114920 115600 120224 127525 132626 133120 135200 135808 137930 141440 143650 144296 147968 150280 163232 166400 169760 173056 173434 174080 176800 179309 180370 183872 184960 187850 195364 204040 212200 216320 217600 220688 226304 229840 231200 234481 240448 244205 255050 265252 266240 270400 271616 275860 282880 287300 288592 295936 300560 306629 326464 331565 332800 339520 344825 346112 346868 348160 353600 358618 360740 367744 369920 375700 390728 408080 424400 432640 433585 435200 441376 450925 452608 459680 462400 468962 480896 488410 510100 530504 540800 543232 551720 565760 574600 577184 591872 601120 613258 652928 663130 665600 679040 689650 692224 693736 707200 717236 721480 735488 739840 751400 781456 816160 848800 862069 865280 867170 870400 882752 896545 901850 905216 919360 924800 937924 961792 976820 1020200 1061008 1081600 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240295099103744 244049710027240 250260211601920 254170527408200 255313542797728 260268657625600 270679403930624 282700116592640 287117305914400 294423778355200 298601998150976 300368873879680 305062137534050 306200729489408 312825264502400 317264623035412 318446357565440 319141928497160 325338275082496 338349254913280 353375145740800 367510151570432 373252497688720 375461092349600 382750911861760 385015710156800 390479536043584 396580778794265 398057946956800 398927410621450 400416338563072 406672843853120 414884507046308 416429852200960 422936568641600 450295190425600 459387689463040 466565622110900 478438639827200 480590198207488 488099420054480 500520423203840 508341054816400 510627085595456 518605633807885 520537315251200 541358807861248 565400233185280 574234611828800 588847556710400 597203996301952 600737747759360 610124275068100 625650529004800 634529246070824 638283856994320 650676550164992 676698509826560 706750291481600 735020303140864 746504995377440 750922184699200 765501823723520 770031420313600 780959072087168 793161557588530 796115893913600 797854821242900 813345687706240 829769014092616 845873137283200 918775378926080 933131244221800 956877279654400 961180396414976 976198840108960 1001040846407680 1016682109632800 1021254171190912 1037211267615770 1041074630502400 1082717615722496 1148469223657600 1194407992603904 1201475495518720 1220248550136200 1251301058009600 1269058492141648 1276567713988640 1301353100329984 1348374647900501 1353397019653120 1413500582963200 1470040606281728 1493009990754880 1501844369398400 1531003647447040 1561918144174336 1586323115177060 1592231787827200 1595709642485800 1626691375412480 1659538028185232 1691746274566400 1837550757852160 1866262488443600 1913754559308800 1922360792829952 1952397680217920 1982903893971325 2002081692815360 2033364219265600 2042508342381824 2074422535231540 2082149261004800 2296938447315200 2388815985207808 2402950991037440 2440497100272400 2502602116019200 2538116984283296 2553135427977280 2593028169039425 2602706200659968 2696749295801002 2706794039306240 2827001165926400 2986019981509760 3003688738796800 3123836288348672 3172646230354120 3191419284971600 3253382750824960 3319076056370464 3383492549132800 3675101515704320 3732524976887200 3827509118617600 3904795360435840 3965807787942650 4066728438531200 4085016684763648 4148845070463080 4593876894630400 4777631970415616 4805901982074880 4880994200544800 5005204232038400 5076233968566592 5106270855954560 5186056338078850 5205412401319936 5393498591602004 5413588078612480 5972039963019520 6007377477593600 6247672576697344 6345292460708240 6382838569943200 6506765501649920 6638152112740928 6741873239502505 6766985098265600 7350203031408640 7465049953774400 7655018237235200 7809590720871680 7931615575885300 8133456877062400 8170033369527296 8297690140926160 9187753789260800 9555263940831232 9611803964149760 9761988401089600 10010408464076800 10152467937133184 10212541711909120 10372112676157700 10786997183204008 11944079926039040 12014754955187200 12495345153394688 12690584921416480 12765677139886400 13013531003299840 13276304225481856 13483746479005010 13533970196531200 14930099907548800 15619181441743360 15863231151770600 16266913754124800 16340066739054592 16595380281852320 18375507578521600 19110527881662464 19523976802179200 20304935874266368 20425083423818240 20744225352315400 21573994366408016 23888159852078080 24029509910374400 24990690306789376 25381169842832960 25531354279772800 26027062006599680 26552608450963712 26967492958010020 27067940393062400 29860199815097600 31238362883486720 31726462303541200 32533827508249600 32680133478109184 33190760563704640 33709366197512525 36751015157043200 39047953604358400 40609871748532736 40850166847636480 41488450704630800 43147988732816032 47776319704156160 48059019820748800 50762339685665920 51062708559545600 53105216901927424 53934985916020040 59720399630195200 62476725766973440 63452924607082400 65067655016499200 66381521127409280 67418732395025050 78095907208716800 81219743497065472 81700333695272960 82976901409261600 86295977465632064 95552639408312320 101524679371331840 102125417119091200 106210433803854848 107869971832040080 119440799260390400 124953451533946880 126905849214164800 130135310032998400 132763042254818560 134837464790050100 156191814417433600 162439486994130944 163400667390545920 165953802818523200 172591954931264128 203049358742663680 204250834238182400 212420867607709696 215739943664080160 238881598520780800 253811698428329600 265526084509637120 269674929580100200 312383628834867200 324878973988261888 331907605637046400 345183909862528256 406098717485327360 408501668476364800 424841735215419392 431479887328160320 477763197041561600 507623396856659200 531052169019274240 539349859160200400 624767257669734400 663815211274092800 690367819725056512 812197434970654720 817003336952729600 862959774656320640 1015246793713318400 1062104338038548480 1078699718320400800 1327630422548185600 1380735639450113024 1624394869941309440 1725919549312641280 2030493587426636800 2124208676077096960 2157399436640801600 2655260845096371200 2761471278900226048 3451839098625282560 4060987174853273600 4314798873281603200 5310521690192742400 5522942557800452096 6903678197250565120 8121974349706547200 8629597746563206400 10621043380385484800 13807356394501130240 17259195493126412800 27614712789002260480 34518390986252825600 69036781972505651200 138073563945011302400
- Sum of all divisors σ(n): 394283312198544631986
- Sum of proper divisors (its aliquot sum) s(n): 256209748253533329586
- 138073563945011302400 is an abundant number, because the sum of its proper divisors (256209748253533329586) is greater than itself. Its abundance is 118136184308522027186
Bases of 138073563945011302400
- Binary: 11101111100001001111101011011011100111001101001010011010000000000002
- Hexadecimal: 0x77C27D6DCE694D000
- Base-36: T50NLJ1HMIN7K
Squares and roots of 138073563945011302400
- 138073563945011302400 squared (1380735639450113024002) is 19064309060477125088323264063744245760000
- 138073563945011302400 cubed (1380735639450113024003) is 2632277096129246675539091110195109937928909186163277824000000
-
The
square root of 138073563945011302400 is 11750470796.7387971549 -
The
cube root of 138073563945011302400 is 5168567.3324019023
Scales and comparisons
How big is 138073563945011302400?- 138,073,563,945,011,302,400 seconds is equal to 293,274,701,009 years, 3 weeks, 3 days, 15 hours, 30 minutes, 7 seconds.
-
To count from 1 to 138,073,563,945,011,302,400 would take you about two hundred ninety-three billion, two hundred seventy-four million, seven hundred one thousand and 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 138073563945011302400 cubic inches would be around 430713.9 feet tall.
Recreational maths with 138073563945011302400
- 138073563945011302400 backwards is 004203110549365370831
- 138073563945011302400 is a
Harshad number . - The number of decimal digits it has is: 21
- The sum of 138073563945011302400's digits is 65
- More coming soon!
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Cite this page
MLA style:
"Number 138073563945011302400 - Facts about the integer". Numbermatics.com. 2024. Web. 5 May 2024.
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Numbermatics. (2024). Number 138073563945011302400 - Facts about the integer. Retrieved 5 May 2024, from https://numbermatics.com/n/138073563945011302400/
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Numbermatics. 2024. "Number 138073563945011302400 - Facts about the integer". https://numbermatics.com/n/138073563945011302400/
The information we have on file for 138073563945011302400 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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