2122408968076800
2,122,408,968,076,800 is an even composite number composed of six prime numbers multiplied together.
2122408968076800 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of two thousand, seven hundred divisors.
Prime factorization of 2122408968076800:
29 × 34 × 52 × 132 × 1272 × 751
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 5 × 5 × 13 × 13 × 127 × 127 × 751)See below for interesting mathematical facts about the number 2122408968076800 from the Numbermatics database.
Names of 2122408968076800
- Cardinal: 2122408968076800 can be written as Two quadrillion, one hundred twenty-two trillion, four hundred eight billion, nine hundred sixty-eight million, seventy-six thousand, eight hundred.
Scientific notation
- Scientific notation: 2.1224089680768 × 1015
Factors of 2122408968076800
Divisors of 2122408968076800
- Number of divisors d(n): 2700
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Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 13 15 16 18 20 24 25 26 27 30 32 36 39 40 45 48 50 52 54 60 64 65 72 75 78 80 81 90 96 100 104 108 117 120 127 128 130 135 144 150 156 160 162 169 180 192 195 200 208 216 225 234 240 254 256 260 270 288 300 312 320 324 325 338 351 360 381 384 390 400 405 416 432 450 468 480 507 508 512 520 540 576 585 600 624 635 640 648 650 675 676 702 720 751 762 768 780 800 810 832 845 864 900 936 960 975 1014 1016 1040 1053 1080 1143 1152 1170 1200 1248 1270 1280 1296 1300 1350 1352 1404 1440 1502 1521 1524 1536 1560 1600 1620 1651 1664 1690 1728 1755 1800 1872 1905 1920 1950 2025 2028 2032 2080 2106 2160 2253 2286 2304 2340 2400 2496 2535 2540 2560 2592 2600 2700 2704 2808 2880 2925 3004 3042 3048 3120 3175 3200 3240 3302 3328 3380 3429 3456 3510 3600 3744 3755 3810 3840 3900 4050 4056 4064 4160 4212 4225 4320 4506 4563 4572 4608 4680 4800 4953 4992 5070 5080 5184 5200 5265 5400 5408 5616 5715 5760 5850 6008 6084 6096 6240 6350 6400 6480 6604 6656 6759 6760 6858 6912 7020 7200 7488 7510 7605 7620 7680 7800 8100 8112 8128 8255 8320 8424 8450 8640 8775 9012 9126 9144 9360 9525 9600 9763 9906 9984 10140 10160 10287 10368 10400 10530 10800 10816 11232 11265 11430 11520 11700 12016 12168 12192 12480 12675 12700 12800 12960 13208 13518 13520 13689 13716 13824 14040 14400 14859 14976 15020 15210 15240 15600 16129 16200 16224 16256 16510 16640 16848 16900 17145 17280 17550 18024 18252 18288 18720 18775 19050 19200 19526 19812 19968 20277 20280 20320 20574 20736 20800 21060 21463 21600 21632 22464 22530 22815 22860 23040 23400 24032 24336 24384 24765 24960 25350 25400 25920 26325 26416 27036 27040 27378 27432 28080 28575 28800 29289 29718 29952 30040 30420 30480 31200 32258 32400 32448 32512 33020 33280 33696 33795 33800 34290 34560 35100 36048 36504 36576 37440 37550 38025 38100 38400 39052 39624 40554 40560 40640 41148 41275 41472 41600 42120 42926 43200 43264 44577 44928 45060 45630 45720 46800 48064 48387 48672 48768 48815 49530 49920 50700 50800 51435 51840 52650 52832 54072 54080 54756 54864 56160 56325 57150 57600 58578 59436 59904 60080 60831 60840 60960 62400 64389 64516 64800 64896 65024 66040 67392 67590 67600 68445 68580 69120 70200 72096 73008 73152 74295 74880 75100 76050 76200 78104 79248 80645 81108 81120 81280 82296 82550 83200 84240 85725 85852 86400 86528 87867 89154 89856 90120 91260 91440 93600 95377 96128 96774 97344 97536 97630 99060 99840 101385 101400 101600 102870 103680 105300 105664 107315 108144 108160 109512 109728 112320 112650 114075 114300 115200 117156 118872 120160 121662 121680 121920 123825 124800 126919 128778 129032 129600 129792 132080 133731 134784 135180 135200 136890 137160 140400 144192 145161 146016 146304 146445 148590 149760 150200 152100 152400 156208 158496 161290 162216 162240 162560 164592 165100 166400 168480 168975 171450 171704 172800 175734 178308 179712 180240 182520 182880 187200 190754 192256 193167 193548 194688 195072 195260 198120 202770 202800 203200 205740 207360 209677 210600 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69632840160 69770183040 70652761920 70860342150 71418297600 72464371200 73694755836 74275029504 75584364960 77369822400 77522425600 78491455920 78503068800 80345584800 80623322624 81883062040 83559408192 83724219648 85032410580 85701957120 87041050200 87212728800 88315952400 90701237952 92118444795 92843786880 93026910720 94203682560 94480456200 98114319900 98259674448 98886873600 100779153280 102038892696 102353827550 103159763200 104449260240 104655274560 104670758400 106290513225 107127446400 108696556800 110542133754 111412544256 113044419072 113376547440 116054733600 116283638400 117754603200 120934983936 122824593060 123791715840 125586329472 125973941600 127548615870 128552935680 130561575300 130819093200 131012899264 131589619200 136051856928 139265680320 139540366080 141305523840 141720684300 142836595200 147389511672 151168729920 153530741325 154739644800 155044851200 156982911840 157006137600 160691169600 163766124080 165813200631 167118816384 167448439296 170064821160 174082100400 174425457600 176631904800 181402475904 184236889590 185687573760 188407365120 188960912400 196228639800 196519348896 201558306560 204077785392 204707655100 206319526400 208898520480 209310549120 212581026450 214254892800 217393113600 221084267508 222825088512 226753094880 232109467200 232567276800 235509206400 241869967872 245649186120 251172658944 251947883200 255097231740 257105871360 261123150600 261638186400 262025798528 272103713856 276355334385 278531360640 279080732160 282611047680 283441368600 294779023344 302337459840 307061482650 309479289600 313965823680 314012275200 318871539675 321382339200 327532248160 331626401262 334237632768 340129642320 348164200800 348850915200 353263809600 362804951808 368473779180 371375147520 377921824800 392457279600 393038697792 403116613120 408155570784 409415310200 417797040960 418621098240 425162052900 428509785600 442168535016 453506189760 460592223975 464218934400 465134553600 471018412800 491298372240 502345317888 503895766400 510194463480 522246301200 523276372800 524051597056 544207427712 552710668770 557062721280 565222095360 566882737200 589558046688 604674919680 614122965300 618958579200 627931647360 637743079350 642764678400 655064496320 663252802524 668475265536 680259284640 696328401600 697701830400 706527619200 725609903616 736947558360 755843649600 784914559200 786077395584 816311141568 818830620400 829066003155 835594081920 837242196480 850324105800 884337070032 907012379520 921184447950 928437868800 942036825600 982596744480 1007791532800 1020388926960 1044492602400 1046552745600 1048103194112 1088414855424 1105421337540 1114125442560 1133765474400 1179116093376 1209349839360 1228245930600 1255863294720 1275486158700 1285529356800 1310128992640 1326505605048 1360518569280 1381776671925 1392656803200 1395403660800 1413055238400 1473895116720 1511687299200 1569829118400 1572154791168 1632622283136 1637661240800 1658132006310 1671188163840 1700648211600 1768674140064 1814024759040 1842368895900 1856875737600 1965193488960 2015583065600 2040777853920 2088985204800 2093105491200 2176829710848 2210842675080 2267530948800 2358232186752 2456491861200 2511726589440 2550972317400 2620257985280 2653011210096 2721037138560 2763553343850 2785313606400 2826110476800 2947790233440 3023374598400 3139658236800 3144309582336 3265244566272 3275322481600 3316264012620 3342376327680 3401296423200 3537348280128 3628049518080 3684737791800 3930386977920 4081555707840 4145330015775 4177970409600 4186210982400 4421685350160 4535061897600 4716464373504 4912983722400 5101944634800 5240515970560 5306022420192 5442074277120 5527106687700 5570627212800 5895580466880 6046749196800 6279316473600 6530489132544 6550644963200 6632528025240 6802592846400 7074696560256 7369475583600 7860773955840 8163111415680 8290660031550 8355940819200 8843370700320 9070123795200 9432928747008 9825967444800 10203889269600 10612044840384 10884148554240 11054213375400 11791160933760 12558632947200 13101289926400 13265056050480 13605185692800 14149393120512 14738951167200 15721547911680 16326222831360 16581320063100 16711881638400 17686741400640 18140247590400 19651934889600 20407778539200 21224089680768 22108426750800 23582321867520 26202579852800 26530112100960 27210371385600 28298786241024 29477902334400 32652445662720 33162640126200 35373482801280 39303869779200 40815557078400 42448179361536 44216853501600 47164643735040 53060224201920 54420742771200 58955804668800 66325280252400 70746965602560 78607739558400 81631114156800 84896358723072 88433707003200 106120448403840 117911609337600 132650560504800 141493931205120 163262228313600 176867414006400 212240896807680 235823218675200 265301121009600 353734828012800 424481793615360 530602242019200 707469656025600 1061204484038400 2122408968076800
- Sum of all divisors σ(n): 8584836610108176
- Sum of proper divisors (its aliquot sum) s(n): 6462427642031376
- 2122408968076800 is an abundant number, because the sum of its proper divisors (6462427642031376) is greater than itself. Its abundance is 4340018673954576
Bases of 2122408968076800
- Binary: 1111000101001010001110110001001110000111110000000002
- Hexadecimal: 0x78A51D89C3E00
- Base-36: KWBX7WM800
Squares and roots of 2122408968076800
- 2122408968076800 squared (21224089680768002) is 4504619827772827041490698240000
- 2122408968076800 cubed (21224089680768003) is 9560645520241618382345719149944301944832000000
-
The
square root of 2122408968076800 is 46069610.0274009265 -
The
cube root of 2122408968076800 is 128511.8051618477
Scales and comparisons
How big is 2122408968076800?- 2,122,408,968,076,800 seconds is equal to 67,486,040 years, 7 weeks, 3 days.
-
To count from 1 to 2,122,408,968,076,800 would take you about two hundred two million, four hundred fifty-eight thousand, one hundred twenty 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 2122408968076800 cubic inches would be around 10709.3 feet tall.
Recreational maths with 2122408968076800
- 2122408968076800 backwards is 0086708698042212
- The number of decimal digits it has is: 16
- The sum of 2122408968076800's digits is 63
- More coming soon!
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Cite this page
MLA style:
"Number 2122408968076800 - Facts about the integer". Numbermatics.com. 2024. Web. 27 May 2024.
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Numbermatics. (2024). Number 2122408968076800 - Facts about the integer. Retrieved 27 May 2024, from https://numbermatics.com/n/2122408968076800/
Chicago style:
Numbermatics. 2024. "Number 2122408968076800 - Facts about the integer". https://numbermatics.com/n/2122408968076800/
The information we have on file for 2122408968076800 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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