3408993120681984
3,408,993,120,681,984 is an even composite number composed of five prime numbers multiplied together.
What does the number 3408993120681984 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 696 divisors.
3408993120681984 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of six hundred ninety-six divisors.
Prime factorization of 3408993120681984:
228 × 3 × 11 × 532 × 137
(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 × 2 × 2 × 3 × 11 × 53 × 53 × 137)See below for interesting mathematical facts about the number 3408993120681984 from the Numbermatics database.
Names of 3408993120681984
- Cardinal: 3408993120681984 can be written as Three quadrillion, four hundred eight trillion, nine hundred ninety-three billion, one hundred twenty million, six hundred eighty-one thousand, nine hundred eighty-four.
Scientific notation
- Scientific notation: 3.408993120681984 × 1015
Factors of 3408993120681984
Divisors of 3408993120681984
- Number of divisors d(n): 696
-
Complete list of divisors:
1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 53 64 66 88 96 106 128 132 137 159 176 192 212 256 264 274 318 352 384 411 424 512 528 548 583 636 704 768 822 848 1024 1056 1096 1166 1272 1408 1507 1536 1644 1696 1749 2048 2112 2192 2332 2544 2809 2816 3014 3072 3288 3392 3498 4096 4224 4384 4521 4664 5088 5618 5632 6028 6144 6576 6784 6996 7261 8192 8427 8448 8768 9042 9328 10176 11236 11264 12056 12288 13152 13568 13992 14522 16384 16854 16896 17536 18084 18656 20352 21783 22472 22528 24112 24576 26304 27136 27984 29044 30899 32768 33708 33792 35072 36168 37312 40704 43566 44944 45056 48224 49152 52608 54272 55968 58088 61798 65536 67416 67584 70144 72336 74624 79871 81408 87132 89888 90112 92697 96448 98304 105216 108544 111936 116176 123596 131072 134832 135168 140288 144672 149248 159742 162816 174264 179776 180224 185394 192896 196608 210432 217088 223872 232352 239613 247192 262144 269664 270336 280576 289344 298496 319484 325632 348528 359552 360448 370788 384833 385792 393216 420864 434176 447744 464704 479226 494384 524288 539328 540672 561152 578688 596992 638968 651264 697056 719104 720896 741576 769666 771584 786432 841728 868352 895488 929408 958452 988768 1048576 1078656 1081344 1122304 1154499 1157376 1193984 1277936 1302528 1394112 1438208 1441792 1483152 1539332 1543168 1572864 1683456 1736704 1790976 1858816 1916904 1977536 2097152 2157312 2162688 2244608 2308998 2314752 2387968 2555872 2605056 2788224 2876416 2883584 2966304 3078664 3086336 3145728 3366912 3473408 3581952 3717632 3833808 3955072 4194304 4233163 4314624 4325376 4489216 4617996 4629504 4775936 5111744 5210112 5576448 5752832 5767168 5932608 6157328 6172672 6291456 6733824 6946816 7163904 7435264 7667616 7910144 8388608 8466326 8629248 8650752 8978432 9235992 9259008 9551872 10223488 10420224 11152896 11505664 11534336 11865216 12314656 12345344 12582912 12699489 13467648 13893632 14327808 14870528 15335232 15820288 16777216 16932652 17258496 17301504 17956864 18471984 18518016 19103744 20446976 20840448 22305792 23011328 23068672 23730432 24629312 24690688 25165824 25398978 26935296 27787264 28655616 29741056 30670464 31640576 33554432 33865304 34516992 34603008 35913728 36943968 37036032 38207488 40893952 41680896 44611584 46022656 46137344 47460864 49258624 49381376 50331648 50797956 53870592 55574528 57311232 59482112 61340928 63281152 67108864 67730608 69033984 69206016 71827456 73887936 74072064 76414976 81787904 83361792 89223168 92045312 92274688 94921728 98517248 98762752 100663296 101595912 107741184 111149056 114622464 118964224 122681856 126562304 134217728 135461216 138067968 138412032 143654912 147775872 148144128 152829952 163575808 166723584 178446336 184090624 184549376 189843456 197034496 197525504 201326592 203191824 215482368 222298112 229244928 237928448 245363712 253124608 268435456 270922432 276135936 276824064 287309824 295551744 296288256 305659904 327151616 333447168 356892672 368181248 369098752 379686912 394068992 395051008 402653184 406383648 430964736 444596224 458489856 475856896 490727424 506249216 541844864 552271872 553648128 574619648 591103488 592576512 611319808 654303232 666894336 713785344 736362496 738197504 759373824 788137984 790102016 805306368 812767296 861929472 889192448 916979712 951713792 981454848 1012498432 1083689728 1104543744 1107296256 1149239296 1182206976 1185153024 1222639616 1308606464 1333788672 1427570688 1472724992 1476395008 1518747648 1576275968 1580204032 1625534592 1723858944 1778384896 1833959424 1903427584 1962909696 2024996864 2167379456 2209087488 2214592512 2298478592 2364413952 2370306048 2445279232 2617212928 2667577344 2855141376 2945449984 2952790016 3037495296 3152551936 3160408064 3251069184 3447717888 3556769792 3667918848 3806855168 3925819392 4049993728 4334758912 4418174976 4429185024 4596957184 4728827904 4740612096 4890558464 5234425856 5335154688 5710282752 5890899968 6074990592 6305103872 6320816128 6502138368 6895435776 7113539584 7335837696 7613710336 7851638784 8099987456 8669517824 8836349952 8858370048 9193914368 9457655808 9481224192 9781116928 10468851712 10670309376 11420565504 11781799936 12149981184 12610207744 12641632256 13004276736 13790871552 14227079168 14671675392 15227420672 15703277568 16199974912 17339035648 17672699904 18387828736 18915311616 18962448384 19562233856 20937703424 21340618752 22841131008 23563599872 24299962368 25220415488 25283264512 26008553472 27581743104 29343350784 30454841344 31406555136 32399949824 34678071296 35345399808 36775657472 37830623232 37924896768 39124467712 41875406848 42681237504 45682262016 47127199744 48599924736 50440830976 50566529024 52017106944 55163486208 58686701568 60909682688 62813110272 64799899648 69356142592 70690799616 75661246464 75849793536 78248935424 83750813696 91364524032 94254399488 97199849472 100881661952 101133058048 104034213888 110326972416 117373403136 121819365376 125626220544 129599799296 138712285184 141381599232 151322492928 151699587072 156497870848 167501627392 182729048064 188508798976 194399698944 201763323904 202266116096 208068427776 234746806272 243638730752 251252441088 259199598592 277424570368 282763198464 302644985856 303399174144 335003254784 365458096128 377017597952 388799397888 403526647808 404532232192 416136855552 469493612544 487277461504 502504882176 518399197184 554849140736 565526396928 605289971712 606798348288 670006509568 730916192256 754035195904 777598795776 807053295616 832273711104 974554923008 1005009764352 1036798394368 1109698281472 1131052793856 1210579943424 1213596696576 1340013019136 1461832384512 1555197591552 1614106591232 1664547422208 1949109846016 2010019528704 2073596788736 2219396562944 2262105587712 2421159886848 2680026038272 2923664769024 3110395183104 3228213182464 3329094844416 4020039057408 4147193577472 4438793125888 4842319773696 5360052076544 5847329538048 6220790366208 6456426364928 6658189688832 8040078114816 8294387154944 8877586251776 9684639547392 10720104153088 12441580732416 12912852729856 13316379377664 16080156229632 17755172503552 19369279094784 21440208306176 24883161464832 25825705459712 26632758755328 32160312459264 35510345007104 38738558189568 51651410919424 53265517510656 64320624918528 71020690014208 77477116379136 103302821838848 106531035021312 142041380028416 154954232758272 213062070042624 284082760056832 309908465516544 426124140085248 568165520113664 852248280170496 1136331040227328 1704496560340992 3408993120681984
- Sum of all divisors σ(n): 10181494834110432
- Sum of proper divisors (its aliquot sum) s(n): 6772501713428448
- 3408993120681984 is an abundant number, because the sum of its proper divisors (6772501713428448) is greater than itself. Its abundance is 3363508592746464
Bases of 3408993120681984
- Binary: 11000001110001110110000100000000000000000000000000002
- Hexadecimal: 0xC1C7610000000
- Base-36: XKDXTIGK5C
Squares and roots of 3408993120681984
- 3408993120681984 squared (34089931206819842) is 11621234096857091928365262176256
- 3408993120681984 cubed (34089931206819843) is 39616707090020735721315698587527186318731771904
-
The
square root of 3408993120681984 is 58386583.3962048509 -
The
cube root of 3408993120681984 is 150501.9204205523
Scales and comparisons
How big is 3408993120681984?- 3,408,993,120,681,984 seconds is equal to 108,395,436 years, 27 weeks, 3 days, 18 hours, 46 minutes, 24 seconds.
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To count from 1 to 3,408,993,120,681,984 would take you about three hundred twenty-five million, one hundred eighty-six thousand, three hundred 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 3408993120681984 cubic inches would be around 12541.8 feet tall.
Recreational maths with 3408993120681984
- 3408993120681984 backwards is 4891860213998043
- The number of decimal digits it has is: 16
- The sum of 3408993120681984's digits is 75
- More coming soon!
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The information we have on file for 3408993120681984 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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