230953956910790400
230,953,956,910,790,400 is an even composite number composed of six prime numbers multiplied together.
230953956910790400 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of eight hundred sixty-four divisors.
Prime factorization of 230953956910790400:
28 × 33 × 52 × 7 × 59 × 3236172161
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 5 × 5 × 7 × 59 × 3236172161)See below for interesting mathematical facts about the number 230953956910790400 from the Numbermatics database.
Names of 230953956910790400
- Cardinal: 230953956910790400 can be written as Two hundred thirty quadrillion, nine hundred fifty-three trillion, nine hundred fifty-six billion, nine hundred ten million, seven hundred ninety thousand, four hundred.
Scientific notation
- Scientific notation: 2.309539569107904 × 1017
Factors of 230953956910790400
- Number of distinct prime factors ω(n): 6
- Total number of prime factors Ω(n): 16
- Sum of prime factors: 3236172237
Divisors of 230953956910790400
- Number of divisors d(n): 864
-
Complete list of divisors:
1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 20 21 24 25 27 28 30 32 35 36 40 42 45 48 50 54 56 59 60 63 64 70 72 75 80 84 90 96 100 105 108 112 118 120 126 128 135 140 144 150 160 168 175 177 180 189 192 200 210 216 224 225 236 240 252 256 270 280 288 295 300 315 320 336 350 354 360 378 384 400 413 420 432 448 450 472 480 504 525 531 540 560 576 590 600 630 640 672 675 700 708 720 756 768 800 826 840 864 885 896 900 944 945 960 1008 1050 1062 1080 1120 1152 1180 1200 1239 1260 1280 1344 1350 1400 1416 1440 1475 1512 1575 1593 1600 1652 1680 1728 1770 1792 1800 1888 1890 1920 2016 2065 2100 2124 2160 2240 2304 2360 2400 2478 2520 2655 2688 2700 2800 2832 2880 2950 3024 3150 3186 3200 3304 3360 3456 3540 3600 3717 3776 3780 3840 4032 4130 4200 4248 4320 4425 4480 4720 4725 4800 4956 5040 5310 5376 5400 5600 5664 5760 5900 6048 6195 6300 6372 6400 6608 6720 6912 7080 7200 7434 7552 7560 7965 8064 8260 8400 8496 8640 8850 8960 9440 9450 9600 9912 10080 10325 10620 10800 11151 11200 11328 11520 11800 12096 12390 12600 12744 13216 13275 13440 14160 14400 14868 15104 15120 15930 16128 16520 16800 16992 17280 17700 18585 18880 18900 19200 19824 20160 20650 21240 21600 22302 22400 22656 23600 24192 24780 25200 25488 26432 26550 26880 28320 28800 29736 30240 30975 31860 33040 33600 33984 34560 35400 37170 37760 37800 39648 39825 40320 41300 42480 43200 44604 44800 45312 47200 48384 49560 50400 50976 52864 53100 55755 56640 57600 59472 60480 61950 63720 66080 67200 67968 70800 74340 75520 75600 79296 79650 80640 82600 84960 86400 89208 92925 94400 99120 100800 101952 105728 106200 111510 113280 118944 120960 123900 127440 132160 134400 135936 141600 148680 151200 158592 159300 165200 169920 172800 178416 185850 188800 198240 201600 203904 212400 223020 226560 237888 241920 247800 254880 264320 278775 283200 297360 302400 317184 318600 330400 339840 356832 371700 377600 396480 403200 407808 424800 446040 475776 495600 509760 528640 557550 566400 594720 604800 637200 660800 679680 713664 743400 792960 849600 892080 951552 991200 1019520 1115100 1132800 1189440 1209600 1274400 1321600 1427328 1486800 1585920 1699200 1784160 1982400 2039040 2230200 2378880 2548800 2643200 2854656 2973600 3398400 3568320 3964800 4460400 4757760 5097600 5947200 7136640 7929600 8920800 10195200 11894400 14273280 17841600 23788800 35683200 71366400 3236172161 6472344322 9708516483 12944688644 16180860805 19417032966 22653205127 25889377288 29125549449 32361721610 38834065932 45306410254 48542582415 51778754576 58251098898 64723443220 67959615381 77668131864 80904304025 87376648347 90612820508 97085164830 103557509152 113266025635 116502197796 129446886440 135919230762 145627747245 155336263728 161808608050 174753296694 181225641016 190934157499 194170329660 203878846143 207115018304 226532051270 233004395592 242712912075 258893772880 271838461524 291255494490 310672527456 323617216100 339798076905 349506593388 362451282032 381868314998 388340659320 407757692286 414230036608 436883241735 453064102540 466008791184 485425824150 517787545760 543676923048 566330128175 572802472497 582510988980 611636538429 621345054912 647234432200 679596153810 699013186776 724902564064 728138736225 763736629996 776681318640 815515384572 828460073216 873766483470 906128205080 932017582368 954670787495 970851648300 1019394230715 1035575091520 1087353846096 1132660256350 1145604944994 1165021977960 1223273076858 1242690109824 1294468864400 1336539102493 1359192307620 1398026373552 1449805128128 1456277472450 1527473259992 1553362637280 1631030769144 1698990384525 1718407417491 1747532966940 1812256410160 1864035164736 1909341574990 1941703296600 2038788461430 2071150183040 2174707692192 2184416208675 2265320512700 2291209889988 2330043955920 2446546153716 2485380219648 2588937728800 2673078204986 2718384615240 2796052747104 2864012362485 2899610256256 2912554944900 3054946519984 3058182692145 3106725274560 3262061538288 3397980769050 3436814834982 3495065933880 3624512820320 3728070329472 3818683149980 3883406593200 4009617307479 4077576922860 4142300366080 4349415384384 4368832417350 4530641025400 4582419779976 4660087911840 4773353937475 4893092307432 5096971153575 5155222252473 5177875457600 5346156409972 5436769230480 5592105494208 5728024724970 5799220512512 5825109889800 6109893039968 6116365384290 6213450549120 6524123076576 6682695512465 6795961538100 6873629669964 6990131867760 7249025640640 7456140658944 7637366299960 7766813186400 8019234614958 8155153845720 8592037087455 8698830768768 8737664834700 9061282050800 9164839559952 9320175823680 9546707874950 9786184614864 10193942307150 10310444504946 10355750915200 10692312819944 10873538460960 11184210988416 11456049449940 11650219779600 12028851922437 12219786079936 12232730768580 12426901098240 13048246153152 13365391024930 13591923076200 13747259339928 13980263735520 14320061812425 14498051281280 15274732599920 15290913460725 15533626372800 16038469229916 16310307691440 17184074174910 17397661537536 17475329669400 18122564101600 18329679119904 18640351647360 19093415749900 19572369229728 20048086537395 20387884614300 20620889009892 20711501830400 21384625639888 21747076921920 22368421976832 22912098899880 23300439559200 24057703844874 24439572159872 24465461537160 25776111262365 26096492306304 26730782049860 27183846152400 27494518679856 27960527471040 28640123624850 28996102562560 30549465199840 30581826921450 31067252745600 32076938459832 32620615382880 33413477562325 34368148349820 34950659338800 36086555767311 36245128203200 36659358239808 37280703294720 38186831499800 39144738459456 40096173074790 40775769228600 41241778019784 42769251279776 42960185437275 43494153843840 45824197799760 46600879118400 48115407689748 48879144319744 48930923074320 51552222524730 52192984612608 53461564099720 54367692304800 54989037359712 55921054942080 57280247249700 60144259612185 61098930399680 61163653842900 62134505491200 64153876919664 65241230765760 66826955124650 68736296699640 69901318677600 72173111534622 72490256406400 73318716479616 76373662999600 78289476918912 80192346149580 81551538457200 82483556039568 85538502559552 85920370874550 86988307687680 91648395599520 93201758236800 96230815379496 97861846148640 100240432686975 103104445049460 106923128199440 108735384609600 109978074719424 111842109884160 114560494499400 120288519224370 122197860799360 122327307685800 128307753839328 128880556311825 130482461531520 133653910249300 137472593399280 139802637355200 144346223069244 144980512812800 146637432959232 152747325999200 156578953837824 160384692299160 163103076914400 164967112079136 171077005119104 171840741749100 180432778836555 183296791199040 186403516473600 192461630758992 195723692297280 200480865373950 206208890098920 213846256398880 217470769219200 219956149438848 229120988998800 240577038448740 244395721598720 244654615371600 256615507678656 257761112623650 260964923063040 267307820498600 274945186798560 279605274710400 288692446138488 300721298060925 305494651998400 320769384598320 326206153828800 329934224158272 342154010238208 343681483498200 360865557673110 366593582398080 384923261517984 391447384594560 400961730747900 412417780197840 427692512797760 434941538438400 439912298877696 458241977997600 481154076897480 489309230743200 513231015357312 515522225247300 534615640997200 549890373597120 559210549420800 577384892276976 601442596121850 610989303996800 641538769196640 652412307657600 659868448316544 687362966996400 721731115346220 733187164796160 769846523035968 782894769189120 801923461495800 824835560395680 855385025595520 902163894182775 916483955995200 962308153794960 978618461486400 1026462030714624 1031044450494600 1069231281994400 1099780747194240 1154769784553952 1202885192243700 1221978607993600 1283077538393280 1304824615315200 1319736896633088 1374725933992800 1443462230692440 1539693046071936 1603846922991600 1649671120791360 1710770051191040 1804327788365550 1832967911990400 1924616307589920 1957236922972800 2062088900989200 2138462563988800 2199561494388480 2309539569107904 2405770384487400 2566155076786560 2749451867985600 2886924461384880 3079386092143872 3207693845983200 3299342241582720 3608655576731100 3665935823980800 3849232615179840 3914473845945600 4124177801978400 4276925127977600 4619079138215808 4811540768974800 5132310153573120 5498903735971200 5773848922769760 6415387691966400 6598684483165440 7217311153462200 7698465230359680 8248355603956800 8553850255955200 9238158276431616 9623081537949600 10997807471942400 11547697845539520 12830775383932800 14434622306924400 15396930460719360 16496711207913600 19246163075899200 23095395691079040 25661550767865600 28869244613848800 32993422415827200 38492326151798400 46190791382158080 57738489227697600 76984652303596800 115476978455395200 230953956910790400
- Sum of all divisors σ(n): 984272701790246400
- Sum of proper divisors (its aliquot sum) s(n): 753318744879456000
- 230953956910790400 is an abundant number, because the sum of its proper divisors (753318744879456000) is greater than itself. Its abundance is 522364787968665600
Bases of 230953956910790400
- Binary: 11001101001000001101100110011100010010001101110111000000002
- Hexadecimal: 0x334836671237700
- Base-36: 1R62CF3E85C0
Squares and roots of 230953956910790400
- 230953956910790400 squared (2309539569107904002) is 53339730212751228763183952732160000
- 230953956910790400 cubed (2309539569107904003) is 12319021753188932143082097784921178007465099264000000
-
The
square root of 230953956910790400 is 480576692.0178197739 -
The
cube root of 230953956910790400 is 613538.4749025827
Scales and comparisons
How big is 230953956910790400?- 230,953,956,910,790,400 seconds is equal to 7,343,621,442 years, 14 weeks.
-
To count from 1 to 230,953,956,910,790,400 would take you about twenty-two billion, thirty million, eight hundred sixty-four thousand, three hundred twenty-six 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 230953956910790400 cubic inches would be around 51128.2 feet tall.
Recreational maths with 230953956910790400
- 230953956910790400 backwards is 004097019659359032
- 230953956910790400 is a
Harshad number . - The number of decimal digits it has is: 18
- The sum of 230953956910790400's digits is 72
- More coming soon!
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The information we have on file for 230953956910790400 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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