993132200067072
993,132,200,067,072 is an even composite number composed of five prime numbers multiplied together.
What does the number 993132200067072 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 972 divisors.
993132200067072 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of nine hundred seventy-two divisors.
Prime factorization of 993132200067072:
226 × 3 × 132 × 172 × 101
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 13 × 13 × 17 × 17 × 101)See below for interesting mathematical facts about the number 993132200067072 from the Numbermatics database.
Names of 993132200067072
- Cardinal: 993132200067072 can be written as Nine hundred ninety-three trillion, one hundred thirty-two billion, two hundred million, sixty-seven thousand and seventy-two.
Scientific notation
- Scientific notation: 9.93132200067072 × 1014
Factors of 993132200067072
Divisors of 993132200067072
- Number of divisors d(n): 972
-
Complete list of divisors:
1 2 3 4 6 8 12 13 16 17 24 26 32 34 39 48 51 52 64 68 78 96 101 102 104 128 136 156 169 192 202 204 208 221 256 272 289 303 312 338 384 404 408 416 442 507 512 544 578 606 624 663 676 768 808 816 832 867 884 1014 1024 1088 1156 1212 1248 1313 1326 1352 1536 1616 1632 1664 1717 1734 1768 2028 2048 2176 2312 2424 2496 2626 2652 2704 2873 3072 3232 3264 3328 3434 3468 3536 3757 3939 4056 4096 4352 4624 4848 4992 5151 5252 5304 5408 5746 6144 6464 6528 6656 6868 6936 7072 7514 7878 8112 8192 8619 8704 9248 9696 9984 10302 10504 10608 10816 11271 11492 12288 12928 13056 13312 13736 13872 14144 15028 15756 16224 16384 17069 17238 17408 18496 19392 19968 20604 21008 21216 21632 22321 22542 22984 24576 25856 26112 26624 27472 27744 28288 29189 30056 31512 32448 32768 34138 34476 34816 36992 38784 39936 41208 42016 42432 43264 44642 45084 45968 48841 49152 51207 51712 52224 53248 54944 55488 56576 58378 60112 63024 64896 65536 66963 68276 68952 69632 73984 77568 79872 82416 84032 84864 86528 87567 89284 90168 91936 97682 98304 102414 103424 104448 106496 109888 110976 113152 116756 120224 126048 129792 131072 133926 136552 137904 139264 146523 147968 155136 159744 164832 168064 169728 173056 175134 178568 180336 183872 195364 196608 204828 206848 208896 212992 219776 221952 226304 233512 240448 252096 259584 262144 267852 273104 275808 278528 290173 293046 295936 310272 319488 329664 336128 339456 346112 350268 357136 360672 367744 379457 390728 393216 409656 413696 417792 425984 439552 443904 452608 467024 480896 504192 519168 524288 535704 546208 551616 557056 580346 586092 591872 620544 638976 659328 672256 678912 692224 700536 714272 721344 735488 758914 781456 786432 819312 827392 835584 851968 870519 879104 887808 905216 934048 961792 1008384 1038336 1048576 1071408 1092416 1103232 1114112 1138371 1160692 1172184 1183744 1241088 1277952 1318656 1344512 1357824 1384448 1401072 1428544 1442688 1470976 1517828 1562912 1572864 1638624 1654784 1671168 1703936 1741038 1758208 1775616 1810432 1868096 1923584 2016768 2076672 2097152 2142816 2184832 2206464 2228224 2276742 2321384 2344368 2367488 2482176 2555904 2637312 2689024 2715648 2768896 2802144 2857088 2885376 2941952 3035656 3125824 3145728 3277248 3309568 3342336 3407872 3482076 3516416 3551232 3620864 3736192 3847168 4033536 4153344 4194304 4285632 4369664 4412928 4456448 4553484 4642768 4688736 4734976 4932941 4964352 5111808 5274624 5378048 5431296 5537792 5604288 5714176 5770752 5883904 6071312 6251648 6291456 6554496 6619136 6684672 6815744 6964152 7032832 7102464 7241728 7472384 7694336 8067072 8306688 8388608 8571264 8739328 8825856 8912896 9106968 9285536 9377472 9469952 9865882 9928704 10223616 10549248 10756096 10862592 11075584 11208576 11428352 11541504 11767808 12142624 12503296 12582912 13108992 13238272 13369344 13631488 13928304 14065664 14204928 14483456 14798823 14944768 15388672 16134144 16613376 16777216 17142528 17478656 17651712 17825792 18213936 18571072 18754944 18939904 19731764 19857408 20447232 21098496 21512192 21725184 22151168 22417152 22856704 23083008 23535616 24285248 25006592 25165824 26217984 26476544 26738688 27262976 27856608 28131328 28409856 28966912 29597646 29889536 30777344 32268288 33226752 33554432 34285056 34957312 35303424 35651584 36427872 37142144 37509888 37879808 39463528 39714816 40894464 42196992 43024384 43450368 44302336 44834304 45713408 46166016 47071232 48570496 50013184 50331648 52435968 52953088 53477376 54525952 55713216 56262656 56819712 57933824 59195292 59779072 61554688 64536576 66453504 67108864 68570112 69914624 70606848 71303168 72855744 74284288 75019776 75759616 78927056 79429632 81788928 84393984 86048768 86900736 88604672 89668608 91426816 92332032 94142464 97140992 100026368 100663296 104871936 105906176 106954752 109051904 111426432 112525312 113639424 115867648 118390584 119558144 123109376 129073152 132907008 137140224 139829248 141213696 142606336 145711488 148568576 150039552 151519232 157854112 158859264 163577856 168787968 172097536 173801472 177209344 179337216 182853632 184664064 188284928 194281984 200052736 201326592 209743872 211812352 213909504 218103808 222852864 225050624 227278848 231735296 236781168 239116288 246218752 258146304 265814016 274280448 279658496 282427392 285212672 291422976 297137152 300079104 303038464 315708224 317718528 327155712 337575936 344195072 347602944 354418688 358674432 365707264 369328128 376569856 388563968 400105472 419487744 423624704 427819008 436207616 445705728 450101248 454557696 463470592 473562336 478232576 492437504 516292608 531628032 548560896 559316992 564854784 570425344 582845952 594274304 600158208 606076928 631416448 635437056 654311424 675151872 688390144 695205888 708837376 717348864 731414528 738656256 753139712 777127936 800210944 838975488 847249408 855638016 872415232 891411456 900202496 909115392 926941184 947124672 956465152 984875008 1032585216 1063256064 1097121792 1118633984 1129709568 1140850688 1165691904 1188548608 1200316416 1212153856 1262832896 1270874112 1308622848 1350303744 1376780288 1390411776 1417674752 1434697728 1462829056 1477312512 1506279424 1554255872 1600421888 1677950976 1694498816 1711276032 1782822912 1800404992 1818230784 1853882368 1894249344 1912930304 1969750016 2065170432 2126512128 2194243584 2237267968 2259419136 2331383808 2377097216 2400632832 2424307712 2525665792 2541748224 2617245696 2700607488 2753560576 2780823552 2835349504 2869395456 2925658112 2954625024 3012558848 3108511744 3200843776 3355901952 3388997632 3422552064 3565645824 3600809984 3636461568 3707764736 3788498688 3825860608 3939500032 4130340864 4253024256 4388487168 4474535936 4518838272 4662767616 4754194432 4801265664 4848615424 5051331584 5083496448 5401214976 5507121152 5561647104 5670699008 5738790912 5851316224 5909250048 6025117696 6217023488 6401687552 6711803904 6777995264 7131291648 7201619968 7272923136 7415529472 7576997376 7651721216 7879000064 8260681728 8506048512 8776974336 8949071872 9037676544 9325535232 9508388864 9602531328 9697230848 10102663168 10166992896 10802429952 11014242304 11123294208 11341398016 11477581824 11702632448 11818500096 12050235392 12434046976 12803375104 13423607808 14262583296 14403239936 14545846272 14831058944 15153994752 15303442432 15758000128 16521363456 17012097024 17553948672 17898143744 18075353088 18651070464 19016777728 19205062656 19394461696 20205326336 20333985792 21604859904 22028484608 22246588416 22955163648 23405264896 23637000192 24100470784 24868093952 25606750208 26847215616 28525166592 28806479872 29091692544 30307989504 30606884864 31516000256 33042726912 34024194048 35107897344 35796287488 36150706176 37302140928 38033555456 38410125312 40410652672 43209719808 44056969216 44493176832 45910327296 46810529792 47274000384 48200941568 49736187904 51213500416 53694431232 57050333184 57612959744 58183385088 60615979008 61213769728 63032000512 66085453824 70215794688 71592574976 72301412352 74604281856 76067110912 76820250624 80821305344 86419439616 88113938432 91820654592 93621059584 94548000768 96401883136 99472375808 102427000832 107388862464 114100666368 115225919488 121231958016 122427539456 126064001024 132170907648 140431589376 143185149952 144602824704 149208563712 152134221824 153640501248 161642610688 172838879232 183641309184 187242119168 189096001536 192803766272 198944751616 204854001664 214777724928 228201332736 242463916032 244855078912 252128002048 264341815296 280863178752 286370299904 289205649408 298417127424 304268443648 307281002496 323285221376 345677758464 367282618368 374484238336 378192003072 397889503232 409708003328 429555449856 456402665472 484927832064 489710157824 561726357504 572740599808 578411298816 596834254848 608536887296 614562004992 646570442752 734565236736 748968476672 756384006144 795779006464 819416006656 859110899712 912805330944 969855664128 979420315648 1123452715008 1145481199616 1193668509696 1217073774592 1229124009984 1293140885504 1469130473472 1497936953344 1591558012928 1638832013312 1718221799424 1825610661888 1939711328256 1958840631296 2246905430016 2387337019392 2434147549184 2458248019968 2586281771008 2938260946944 3183116025856 3277664026624 3436443598848 3651221323776 3879422656512 4493810860032 4774674038784 4868295098368 4916496039936 5172563542016 5876521893888 6366232051712 7302442647552 7758845313024 9549348077568 9736590196736 9832992079872 10345127084032 12732464103424 14604885295104 15517690626048 19098696155136 19473180393472 20690254168064 25464928206848 29209770590208 31035381252096 38197392310272 41380508336128 58419541180416 62070762504192 76394784620544 82761016672256 124141525008384 165522033344512 248283050016768 331044066689024 496566100033536 993132200067072
- Sum of all divisors σ(n): 3076518337199496
- Sum of proper divisors (its aliquot sum) s(n): 2083386137132424
- 993132200067072 is an abundant number, because the sum of its proper divisors (2083386137132424) is greater than itself. Its abundance is 1090253937065352
Bases of 993132200067072
- Binary: 111000011100111111100111000000000000000000000000002
- Hexadecimal: 0x3873F9C000000
- Base-36: 9S1AMU08AO
Squares and roots of 993132200067072
- 993132200067072 squared (9931322000670722) is 986311566810062725841298653184
- 993132200067072 cubed (9931322000670723) is 979537776297678466461850309441290508066357248
-
The
square root of 993132200067072 is 31514000.0645280193 -
The
cube root of 993132200067072 is 99770.5472526149
Scales and comparisons
How big is 993132200067072?- 993,132,200,067,072 seconds is equal to 31,578,532 years, 22 hours, 11 minutes, 12 seconds.
-
To count from 1 to 993,132,200,067,072 would take you about seventy-eight million, nine hundred forty-six thousand, three hundred thirty 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 993132200067072 cubic inches would be around 8314.2 feet tall.
Recreational maths with 993132200067072
- 993132200067072 backwards is 270760002231399
- 993132200067072 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 993132200067072's digits is 51
- More coming soon!
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The information we have on file for 993132200067072 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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