230427429478400
230,427,429,478,400 is an even composite number composed of seven prime numbers multiplied together.
230427429478400 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of three thousand and twenty-four divisors.
Prime factorization of 230427429478400:
213 × 52 × 72 × 11 × 172 × 31 × 233
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 7 × 7 × 11 × 17 × 17 × 31 × 233)See below for interesting mathematical facts about the number 230427429478400 from the Numbermatics database.
Names of 230427429478400
- Cardinal: 230427429478400 can be written as Two hundred thirty trillion, four hundred twenty-seven billion, four hundred twenty-nine million, four hundred seventy-eight thousand, four hundred.
Scientific notation
- Scientific notation: 2.304274294784 × 1014
Factors of 230427429478400
Divisors of 230427429478400
- Number of divisors d(n): 3024
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Complete list of divisors:
1 2 4 5 7 8 10 11 14 16 17 20 22 25 28 31 32 34 35 40 44 49 50 55 56 62 64 68 70 77 80 85 88 98 100 110 112 119 124 128 136 140 154 155 160 170 175 176 187 196 200 217 220 224 233 238 245 248 256 272 275 280 289 308 310 320 340 341 350 352 374 385 392 400 425 434 440 448 466 476 490 496 512 527 539 544 550 560 578 595 616 620 640 680 682 700 704 748 770 775 784 800 833 850 868 880 896 932 935 952 980 992 1024 1054 1078 1085 1088 1100 1120 1156 1165 1190 1225 1232 1240 1280 1309 1360 1364 1400 1408 1445 1496 1519 1540 1550 1568 1600 1631 1666 1700 1705 1736 1760 1792 1864 1870 1904 1925 1960 1984 2023 2048 2108 2156 2170 2176 2200 2240 2312 2330 2380 2387 2450 2464 2480 2560 2563 2618 2635 2695 2720 2728 2800 2816 2890 2975 2992 3038 3080 3100 3136 3179 3200 3262 3332 3400 3410 3472 3520 3584 3689 3728 3740 3808 3850 3920 3961 3968 4046 4096 4165 4216 4312 4340 4352 4400 4480 4624 4660 4675 4760 4774 4900 4928 4960 5120 5126 5236 5270 5390 5425 5440 5456 5600 5632 5780 5797 5825 5950 5984 6076 6160 6200 6272 6358 6400 6524 6545 6664 6800 6820 6944 7040 7168 7223 7225 7378 7456 7480 7595 7616 7700 7840 7922 7936 8092 8155 8192 8330 8432 8525 8624 8680 8704 8800 8959 8960 9163 9248 9320 9350 9520 9548 9800 9856 9920 10115 10240 10252 10472 10540 10780 10850 10880 10912 11200 11264 11417 11560 11594 11650 11900 11935 11968 12152 12320 12400 12544 12716 12800 12815 13048 13090 13175 13328 13475 13600 13640 13888 14080 14161 14336 14446 14450 14756 14912 14960 15190 15232 15400 15680 15844 15872 15895 16184 16310 16660 16709 16864 17050 17248 17360 17408 17600 17918 17920 17941 18326 18445 18496 18640 18700 19040 19096 19600 19712 19805 19840 20230 20480 20504 20825 20944 21080 21560 21700 21760 21824 22253 22400 22528 22834 23120 23188 23300 23800 23870 23936 24304 24640 24800 25088 25432 25600 25630 25823 26096 26180 26350 26656 26950 27200 27280 27727 27776 28160 28322 28672 28892 28900 28985 29512 29824 29920 30380 30464 30800 31360 31688 31744 31790 32368 32620 32725 33320 33418 33728 34100 34496 34720 34816 35200 35836 35840 35882 36115 36652 36890 36992 37280 37400 37975 38080 38192 39200 39424 39610 39680 40460 40579 40775 40960 41008 41650 41888 42160 43120 43400 43520 43571 43648 44506 44795 44800 45056 45668 45815 46240 46376 46600 47600 47740 47872 48608 49280 49600 50176 50561 50575 50864 51200 51260 51646 52192 52360 52700 53312 53900 54400 54560 55454 55552 56320 56644 57085 57344 57784 57800 57970 59024 59648 59675 59840 60760 60928 61600 62713 62720 63376 63488 63580 64075 64736 65240 65450 66640 66836 67337 67456 68200 68992 69440 69632 70400 70805 71672 71680 71764 72230 73304 73780 73984 74560 74800 75950 76160 76384 78400 78848 79220 79360 79453 79475 80920 81158 81550 82016 83300 83545 83776 84320 86240 86800 87040 87142 87296 89012 89590 89600 89705 90112 91336 91630 92225 92480 92752 93200 95200 95480 95744 97216 98549 98560 99025 99200 100352 101122 101150 101728 102400 102520 103292 104384 104720 105400 106624 107800 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3025570240 3033935872 3080580608 3090496640 3114557600 3123169280 3143449600 3190190080 3210905600 3214668380 3215027200 3254394880 3273116896 3309217450 3318367360 3339915200 3378701312 3415966400 3422003200 3447654400 3457794560 3520663552 3531996160 3559494400 3596214272 3624212480 3629464300 3635878400 3673906720 3674316800 3740705024 3781962800 3792419840 3850725760 3861372928 3863120800 3903961600 3974942720 3986633728 3987737600 4018335475 4036567040 4067993600 4091396120 4147959200 4155289600 4223376640 4235798336 4275091456 4322243200 4372436992 4400829440 4414995200 4461670400 4495267840 4500535732 4530265600 4556152832 4557414400 4592383400 4645714304 4675881280 4740524800 4813407200 4826716160 4840912384 4944794624 4968678400 4983292160 5029519360 5045708800 5114245150 5143469408 5144043520 5177446400 5279220800 5288550400 5294747920 5309387776 5343864320 5465546240 5501036800 5532471296 5619084800 5625669665 5651193856 5678489600 5695191040 5807142880 5817405440 5844851600 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12843622400 12858673520 12860108800 13092467584 13236869800 13273469440 13359660800 13514805248 13663865600 13790617600 13831178240 14127984640 14237977600 14496849920 14517857200 14543513600 14695626880 14962820096 15127851200 15169679360 15402903040 15452483200 15615846400 15946534912 15950950400 16073341900 16271974400 16365584480 16591836800 16893506560 16943193344 17100365824 17288972800 17489747968 17603317760 17659980800 17981071360 18002142928 18121062400 18369533600 18582857216 18703525120 18962099200 19253628800 19306864640 19363649536 19779178496 19874713600 19933168640 20182835200 20456980600 20573877632 21116883200 21178991680 21237551104 21375457280 21862184960 22004147200 22476339200 22502678660 22780764160 23228571520 23379406400 23513003008 24133580800 24204561920 24644644864 24723973120 24916460800 25147596800 25717347040 25720217600 26184935168 26473739600 26546938880 26719321600 27029610496 27327731200 27662356480 28128348325 28255969280 28475955200 29035714400 29087027200 29391253760 29925640192 30255702400 30339358720 30805806080 30904966400 31231692800 31893069824 31901900800 32146683800 32731168960 33183673600 33787013120 33886386688 34577945600 35206635520 35319961600 36004285856 36242124800 36739067200 37165714432 37407050240 37924198400 38507257600 38727299072 39558356992 39749427200 39866337280 40913961200 41147755264 42233766400 42357983360 42475102208 42750914560 43724369920 44008294400 44952678400 45005357320 46457143040 46758812800 47026006016 48267161600 48409123840 49289289728 49447946240 49832921600 51434694080 52369870336 52947479200 53093877760 53438643200 54655462400 55324712960 56256696650 56951910400 58071428800 58174054400 58782507520 59851280384 60511404800 61611612160 61809932800 62463385600 64293367600 65462337920 66367347200 67574026240 67772773376 69155891200 70639923200 72008571712 72484249600 73478134400 74331428864 74814100480 75848396800 77014515200 77454598144 79732674560 81827922400 82295510528 84467532800 84715966720 85501829120 87448739840 88016588800 89905356800 90010714640 92914286080 93517625600 94052012032 96534323200 96818247680 98895892480 99665843200 102869388160 104739740672 105894958400 106187755520 106877286400 109310924800 112513393300 113903820800 116142857600 117565015040 119702560768 121022809600 123223224320 123619865600 128586735200 130924675840 132734694400 135148052480 135545546752 138311782400 141279846400 144017143424 146956268800 148662857728 149628200960 151696793600 154029030400 159465349120 163655844800 164591021056 168935065600 169431933440 176033177600 180021429280 185828572160 187035251200 188104024064 193636495360 197791784960 199331686400 205738776320 209479481344 211789916800 212375511040 213754572800 218621849600 225026786600 232285715200 235130030080 242045619200 246446448640 247239731200 257173470400 261849351680 265469388800 271091093504 276623564800 288034286848 293912537600 297325715456 299256401920 308058060800 327311689600 329182042112 337870131200 338863866880 360042858560 371657144320 374070502400 387272990720 398663372800 411477552640 418958962688 423579833600 427509145600 437243699200 450053573200 464571430400 470260060160 484091238400 494479462400 514346940800 523698703360 530938777600 542182187008 576068573696 587825075200 598512803840 616116121600 654623379200 658364084224 675740262400 677727733760 720085717120 743314288640 748141004800 797326745600 822955105280 837917925376 847159667200 900107146400 929142860800 940520120320 968182476800 988958924800 1028693881600 1047397406720 1061877555200 1152137147392 1175650150400 1232232243200 1309246758400 1316728168448 1355455467520 1440171434240 1486628577280 1496282009600 1645910210560 1694319334400 1800214292800 1858285721600 1936364953600 2057387763200 2094794813440 2304274294784 2351300300800 2618493516800 2710910935040 2880342868480 2992564019200 3291820421120 3388638668800 3600428585600 3716571443200 4114775526400 4189589626880 4608548589568 4702600601600 5236987033600 5760685736960 6583640842240 6777277337600 7200857171200 7433142886400 8229551052800 9217097179136 10473974067200 11521371473920 13554554675200 14401714342400 16459102105600 20947948134400 23042742947840 28803428684800 32918204211200 46085485895680 57606857369600 115213714739200 230427429478400
- Sum of all divisors σ(n): 798574499603712
- Sum of proper divisors (its aliquot sum) s(n): 568147070125312
- 230427429478400 is an abundant number, because the sum of its proper divisors (568147070125312) is greater than itself. Its abundance is 337719640646912
Bases of 230427429478400
- Binary: 1101000110010010100100010001010010100000000000002
- Hexadecimal: 0xD1929114A000
- Base-36: 29OGWE1URK
Squares and roots of 230427429478400
- 230427429478400 squared (2304274294784002) is 53096800256023005296066560000
- 230427429478400 cubed (2304274294784003) is 12234959196523432117707406967312482304000000
-
The
square root of 230427429478400 is 15179836.2796968269 -
The
cube root of 230427429478400 is 61307.1873037465
Scales and comparisons
How big is 230427429478400?- 230,427,429,478,400 seconds is equal to 7,326,879 years, 25 weeks, 6 days, 11 hours, 33 minutes, 20 seconds.
-
To count from 1 to 230,427,429,478,400 would take you about eighteen million, three hundred seventeen thousand, one hundred ninety-eight 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 230427429478400 cubic inches would be around 5108.9 feet tall.
Recreational maths with 230427429478400
- 230427429478400 backwards is 004874924724032
- 230427429478400 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 230427429478400's digits is 56
- More coming soon!
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Cite this page
MLA style:
"Number 230427429478400 - Facts about the integer". Numbermatics.com. 2024. Web. 9 June 2024.
APA style:
Numbermatics. (2024). Number 230427429478400 - Facts about the integer. Retrieved 9 June 2024, from https://numbermatics.com/n/230427429478400/
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The information we have on file for 230427429478400 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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