3428210123228774400
3,428,210,123,228,774,400 is an even composite number composed of five prime numbers multiplied together.
3428210123228774400 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of two thousand, four hundred forty-eight divisors.
Prime factorization of 3428210123228774400:
216 × 3 × 52 × 115 × 1633
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 11 × 11 × 11 × 11 × 11 × 163 × 163 × 163)See below for interesting mathematical facts about the number 3428210123228774400 from the Numbermatics database.
Names of 3428210123228774400
- Cardinal: 3428210123228774400 can be written as Three quintillion, four hundred twenty-eight quadrillion, two hundred ten trillion, one hundred twenty-three billion, two hundred twenty-eight million, seven hundred seventy-four thousand, four hundred.
Scientific notation
- Scientific notation: 3.4282101232287744 × 1018
Factors of 3428210123228774400
Divisors of 3428210123228774400
- Number of divisors d(n): 2448
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Complete list of divisors:
1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 25 30 32 33 40 44 48 50 55 60 64 66 75 80 88 96 100 110 120 121 128 132 150 160 163 165 176 192 200 220 240 242 256 264 275 300 320 326 330 352 363 384 400 440 480 484 489 512 528 550 600 605 640 652 660 704 726 768 800 815 825 880 960 968 978 1024 1056 1100 1200 1210 1280 1304 1320 1331 1408 1452 1536 1600 1630 1650 1760 1793 1815 1920 1936 1956 2048 2112 2200 2400 2420 2445 2560 2608 2640 2662 2816 2904 3025 3072 3200 3260 3300 3520 3586 3630 3840 3872 3912 3993 4075 4096 4224 4400 4800 4840 4890 5120 5216 5280 5324 5379 5632 5808 6050 6144 6400 6520 6600 6655 7040 7172 7260 7680 7744 7824 7986 8150 8192 8448 8800 8965 9075 9600 9680 9780 10240 10432 10560 10648 10758 11264 11616 12100 12225 12288 12800 13040 13200 13310 14080 14344 14520 14641 15360 15488 15648 15972 16300 16384 16896 17600 17930 18150 19200 19360 19560 19723 19965 20480 20864 21120 21296 21516 22528 23232 24200 24450 24576 25600 26080 26400 26569 26620 26895 28160 28688 29040 29282 30720 30976 31296 31944 32600 32768 33275 33792 35200 35860 36300 38400 38720 39120 39446 39930 40960 41728 42240 42592 43032 43923 44825 45056 46464 48400 48900 49152 51200 52160 52800 53138 53240 53790 56320 57376 58080 58564 59169 61440 61952 62592 63888 65200 65536 66550 67584 70400 71720 72600 73205 76800 77440 78240 78892 79707 79860 81920 83456 84480 85184 86064 87846 89650 90112 92928 96800 97800 98304 98615 99825 102400 104320 105600 106276 106480 107580 112640 114752 116160 117128 118338 122880 123904 125184 127776 130400 132845 133100 134475 135168 140800 143440 145200 146410 153600 154880 156480 157784 159414 159720 161051 163840 166912 168960 170368 172128 175692 179300 180224 185856 193600 195600 196608 197230 199650 204800 208640 211200 212552 212960 215160 216953 219615 225280 229504 232320 234256 236676 245760 247808 250368 255552 260800 265690 266200 268950 270336 281600 286880 290400 292259 292820 295845 307200 309760 312960 315568 318828 319440 322102 327680 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6373322407936 6439162515456 6451522682880 6572488733184 6707460953600 6846342430400 6917069108400 6952715354112 6974711350970 7095495884800 7242411827200 7317230131200 7378207048960 7468737196800 7608776019240 7805045473280 7900812902400 7966653009920 8048953144320 8064403353600 8116027753856 8215610916480 8369653621164 8585550020608 8602030243840 8690894192640 8763318310912 8853848458752 9222758811200 9366054567936 9510970024050 9559983611904 9756306841600 9958316262400 10061191430400 10145034692320 10269513645600 10462067026455 10643243827200 10731937525760 10752537804800 10863617740800 10954147888640 11067310573440 11159538161552 11587858923520 11707568209920 11730041241600 11805131278336 11949979514880 12174041630784 12681293365400 12746644815872 12878325030912 12903045365760 13144977466368 13414921907200 13692684860800 13834138216800 13949422701940 14484823654400 14634460262400 14756414097920 14937474393600 15217552038480 15610090946560 15801625804800 15933306019840 16097906288640 16128806707200 16232055507712 16431221832960 16739307242328 17171100041216 17381788385280 17436778377425 17526636621824 17707696917504 18445517622400 19021940048100 19119967223808 19512613683200 19916632524800 20122382860800 20290069384640 20539027291200 20924134052910 21286487654400 21463875051520 21505075609600 21727235481600 21908295777280 22134621146880 22319076323104 23415136419840 23610262556672 23899959029760 24348083261568 25362586730800 25493289631744 25756650061824 25806090731520 26289954932736 26829843814400 27385369721600 27668276433600 27898845403880 28969647308800 29268920524800 29512828195840 29874948787200 30435104076960 31866612039680 32195812577280 32257613414400 32464111015424 32862443665920 33478614484656 34342200082432 34763576770560 34873556754850 35053273243648 35415393835008 36891035244800 38043880096200 38239934447616 39025227366400 39833265049600 40244765721600 40580138769280 41078054582400 41848268105820 42927750103040 43010151219200 43454470963200 43816591554560 44269242293760 44638152646208 46830272839680 47220525113344 47799918059520 48696166523136 50725173461600 51513300123648 52310335132275 52579909865472 53659687628800 54770739443200 55336552867200 55797690807760 57939294617600 58537841049600 59025656391680 59749897574400 60870208153920 63733224079360 64391625154560 64515226828800 64928222030848 65724887331840 66957228969312 69747113509700 70106546487296 70830787670016 73782070489600 76087760192400 76479868895232 78050454732800 79666530099200 80489531443200 81160277538560 82156109164800 83696536211640 85855500206080 86908941926400 87633183109120 88538484587520 89276305292416 94441050226688 95599836119040 97392333046272 101450346923200 103026600247296 104620670264550 105159819730944 107319375257600 109541478886400 110673105734400 111595381615520 117075682099200 118051312783360 119499795148800 121740416307840 127466448158720 128783250309120 129030453657600 129856444061696 131449774663680 133914457938624 139494227019400 140213092974592 141661575340032 147564140979200 152175520384800 159333060198400 160979062886400 162320555077120 164312218329600 167393072423280 171711000412160 173817883852800 175266366218240 177076969175040 178552610584832 188882100453376 191199672238080 194784666092544 202900693846400 209241340529100 210319639461888 214638750515200 219082957772800 221346211468800 223190763231040 234151364198400 236102625566720 238999590297600 243480832615680 257566500618240 259712888123392 262899549327360 267828915877248 278988454038800 280426185949184 283323150680064 295128281958400 304351040769600 318666120396800 321958125772800 324641110154240 328624436659200 334786144846560 350532732436480 354153938350080 357105221169664 377764200906752 382399344476160 389569332185088 405801387692800 418482681058200 420639278923776 429277501030400 438165915545600 442692422937600 446381526462080 472205251133440 477999180595200 486961665231360 515133001236480 519425776246784 525799098654720 535657831754496 557976908077600 566646301360128 590256563916800 608702081539200 637332240793600 643916251545600 649282220308480 657248873318400 669572289693120 701065464872960 708307876700160 714210442339328 779138664370176 811602775385600 836965362116400 841278557847552 858555002060800 876331831091200 885384845875200 892763052924160 944410502266880 955998361190400 973923330462720 1038851552493568 1051598197309440 1071315663508992 1115953816155200 1133292602720256 1180513127833600 1217404163078400 1287832503091200 1298564440616960 1314497746636800 1339144579386240 1402130929745920 1416615753400320 1428420884678656 1558277328740352 1623205550771200 1673930724232800 1752663662182400 1770769691750400 1785526105848320 1888821004533760 1911996722380800 1947846660925440 2077703104987136 2103196394618880 2142631327017984 2231907632310400 2361026255667200 2434808326156800 2575665006182400 2597128881233920 2628995493273600 2678289158772480 2833231506800640 2856841769357312 3116554657480704 3246411101542400 3347861448465600 3505327324364800 3541539383500800 3571052211696640 3895693321850880 4155406209974272 4206392789237760 4285262654035968 4463815264620800 4722052511334400 4869616652313600 5194257762467840 5257990986547200 5356578317544960 5666463013601280 5713683538714624 6233109314961408 6492822203084800 6695722896931200 7010654648729600 7083078767001600 7142104423393280 7791386643701760 8570525308071936 8927630529241600 9444105022668800 9739233304627200 10388515524935680 10515981973094400 10713156635089920 11427367077429248 12466218629922816 12985644406169600 13391445793862400 14166157534003200 14284208846786560 15582773287403520 17141050616143872 17855261058483200 19478466609254400 20777031049871360 21031963946188800 21426313270179840 22854734154858496 25971288812339200 26782891587724800 28332315068006400 28568417693573120 31165546574807040 34282101232287744 35710522116966400 38956933218508800 42852626540359680 45709468309716992 51942577624678400 53565783175449600 57136835387146240 62331093149614080 68564202464575488 71421044233932800 77913866437017600 85705253080719360 103885155249356800 107131566350899200 114273670774292480 137128404929150976 142842088467865600 155827732874035200 171410506161438720 214263132701798400 228547341548584960 285684176935731200 311655465748070400 342821012322877440 428526265403596800 571368353871462400 685642024645754880 857052530807193600 1142736707742924800 1714105061614387200 3428210123228774400
- Sum of all divisors σ(n): 12546412620050171520
- Sum of proper divisors (its aliquot sum) s(n): 9118202496821397120
- 3428210123228774400 is an abundant number, because the sum of its proper divisors (9118202496821397120) is greater than itself. Its abundance is 5689992373592622720
Bases of 3428210123228774400
- Binary: 101111100100110111001011110001100100100111001100000000000000002
- Hexadecimal: 0x2F9372F192730000
- Base-36: Q1NJ2CW81PMO
Squares and roots of 3428210123228774400
- 3428210123228774400 squared (34282101232287744002) is 11752624649008248556978840126095360000
- 3428210123228774400 cubed (34282101232287744003) is 40290466796238099266037074675752409577872670326784000000
-
The
square root of 3428210123228774400 is 1851542633.3813581405 -
The
cube root of 3428210123228774400 is 1507841.9127123321
Scales and comparisons
How big is 3428210123228774400?- 3,428,210,123,228,774,400 seconds is equal to 109,006,477,768 years, 26 weeks, 6 days, 10 hours, 40 minutes.
-
To count from 1 to 3,428,210,123,228,774,400 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 3428210123228774400 cubic inches would be around 125653.5 feet tall.
Recreational maths with 3428210123228774400
- 3428210123228774400 backwards is 0044778223210128243
- 3428210123228774400 is a
Harshad number . - The number of decimal digits it has is: 19
- The sum of 3428210123228774400's digits is 60
- More coming soon!
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Cite this page
MLA style:
"Number 3428210123228774400 - Facts about the integer". Numbermatics.com. 2024. Web. 5 June 2024.
APA style:
Numbermatics. (2024). Number 3428210123228774400 - Facts about the integer. Retrieved 5 June 2024, from https://numbermatics.com/n/3428210123228774400/
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Numbermatics. 2024. "Number 3428210123228774400 - Facts about the integer". https://numbermatics.com/n/3428210123228774400/
The information we have on file for 3428210123228774400 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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