189343616983142400

Names of 189343616983142400

• Cardinal: 189343616983142400 can be written as One hundred eighty-nine quadrillion, three hundred forty-three trillion, six hundred sixteen billion, nine hundred eighty-three million, one hundred forty-two thousand, four hundred.

Scientific notation

• Scientific notation: 1.893436169831424 × 10¹⁷

Factors of 189343616983142400

• Number of distinct prime factors ω(n): 4
• Total number of prime factors Ω(n): 22
• Sum of prime factors: 50373

Divisors of 189343616983142400

• Number of divisors d(n): 819
• Complete list of divisors:
  1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 25 27 30 32 36 40 45 48 50 54 60 64 72 75 80 81 90 96 100 108 120 128 135 144 150 160 162 180 192 200 216 225 240 243 256 270 288 300 320 324 360 384 400 405 432 450 480 486 512 540 576 600 640 648 675 720 729 768 800 810 864 900 960 972 1024 1080 1152 1200 1215 1280 1296 1350 1440 1458 1536 1600 1620 1728 1800 1920 1944 2025 2048 2160 2304 2400 2430 2560 2592 2700 2880 2916 3072 3200 3240 3456 3600 3645 3840 3888 4050 4096 4320 4608 4800 4860 5120 5184 5400 5760 5832 6075 6144 6400 6480 6912 7200 7290 7680 7776 8100 8640 9216 9600 9720 10240 10368 10800 11520 11664 12150 12288 12800 12960 13824 14400 14580 15360 15552 16200 17280 18225 18432 19200 19440 20480 20736 21600 23040 23328 24300 25600 25920 27648 28800 29160 30720 31104 32400 34560 36450 36864 38400 38880 41472 43200 46080 46656 48600 50363 51200 51840 55296 57600 58320 61440 62208 64800 69120 72900 76800 77760 82944 86400 92160 93312 97200 100726 102400 103680 110592 115200 116640 124416 129600 138240 145800 151089 153600 155520 165888 172800 184320 186624 194400 201452 207360 230400 233280 248832 251815 259200 276480 291600 302178 307200 311040 331776 345600 373248 388800 402904 414720 453267 460800 466560 497664 503630 518400 552960 583200 604356 622080 691200 746496 755445 777600 805808 829440 906534 921600 933120 995328 1007260 1036800 1166400 1208712 1244160 1259075 1359801 1382400 1492992 1510890 1555200 1611616 1658880 1813068 1866240 2014520 2073600 2266335 2332800 2417424 2488320 2518150 2719602 2764800 2985984 3021780 3110400 3223232 3626136 3732480 3777225 4029040 4079403 4147200 4532670 4665600 4834848 4976640 5036300 5439204 6043560 6220800 6446464 6799005 7252272 7464960 7554450 8058080 8158806 8294400 9065340 9331200 9669696 10072600 10878408 11331675 12087120 12238209 12441600 12892928 13598010 14504544 14929920 15108900 16116160 16317612 18130680 18662400 19339392 20145200 20397015 21756816 22663350 24174240 24476418 24883200 25785856 27196020 29009088 30217800 32232320 32635224 33995025 36261360 36714627 37324800 38678784 40290400 40794030 43513632 45326700 48348480 48952836 51571712 54392040 58018176 60435600 61191045 64464640 65270448 67990050 72522720 73429254 74649600 77357568 80580800 81588060 87027264 90653400 96696960 97905672 101985075 103143424 108784080 116036352 120871200 122382090 128929280 130540896 135980100 145045440 146858508 154715136 161161600 163176120 174054528 181306800 183573135 193393920 195811344 203970150 206286848 217568160 232072704 241742400 244764180 257858560 261081792 271960200 290090880 293717016 305955225 309430272 322323200 326352240 348109056 362613600 367146270 386787840 391622688 407940300 435136320 464145408 483484800 489528360 515717120 522163584 543920400 580181760 587434032 611910450 618860544 644646400 652704480 696218112 725227200 734292540 773575680 783245376 815880600 870272640 917865675 928290816 966969600 979056720 1031434240 1044327168 1087840800 1160363520 1174868064 1223820900 1289292800 1305408960 1392436224 1450454400 1468585080 1547151360 1566490752 1631761200 1740545280 1835731350 1856581632 1933939200 1958113440 2088654336 2175681600 2320727040 2349736128 2447641800 2536431769 2578585600 2610817920 2784872448 2900908800 2937170160 3094302720 3132981504 3263522400 3481090560 3671462700 3867878400 3916226880 4177308672 4351363200 4641454080 4699472256 4895283600 5072863538 5157171200 5221635840 5569744896 5801817600 5874340320 6265963008 6527044800 6962181120 7342925400 7609295307 7735756800 7832453760 8354617344 8702726400 9282908160 9398944512 9790567200 10145727076 10443271680 11603635200 11748680640 12531926016 12682158845 13054089600 13924362240 14685850800 15218590614 15471513600 15664907520 16709234688 17405452800 18797889024 19581134400 20291454152 20886543360 22827885921 23207270400 23497361280 25063852032 25364317690 26108179200 27848724480 29371701600 30437181228 31329815040 34810905600 37595778048 38046476535 39162268800 40582908304 41773086720 45655771842 46414540800 46994722560 50127704064 50728635380 52216358400 58743403200 60874362456 62659630080 63410794225 68483657763 69621811200 75191556096 76092953070 78324537600 81165816608 83546173440 91311543684 93989445120 101457270760 104432716800 114139429605 117486806400 121748724912 125319260160 126821588450 136967315526 139243622400 150383112192 152185906140 156649075200 162331633216 182623087368 187978890240 190232382675 202914541520 205450973289 208865433600 228278859210 234973612800 243497449824 250638520320 253643176900 273934631052 304371812280 313298150400 324663266432 342418288815 365246174736 375957780480 380464765350 405829083040 410901946578 417730867200 456557718420 469947225600 486994899648 507286353800 547869262104 570697148025 608743624560 616352919867 626596300800 649326532864 684836577630 730492349472 751915560960 760929530700 811658166080 821803893156 913115436840 939894451200 973989799296 1014572707600 1027254866445 1095738524208 1141394296050 1217487249120 1232705839734 1253192601600 1298653065728 1369673155260 1460984698944 1521859061400 1623316332160 1643607786312 1712091444075 1826230873680 1849058759601 1879788902400 1947979598592 2029145415200 2054509732890 2191477048416 2282788592100 2434974498240 2465411679468 2597306131456 2739346310520 2921969397888 3043718122800 3081764599335 3246632664320 3287215572624 3424182888150 3652461747360 3698117519202 3759577804800 3895959197184 4058290830400 4109019465780 4382954096832 4565577184200 4869948996480 4930823358936 5136274332225 5194612262912 5478692621040 5843938795776 6087436245600 6163529198670 6493265328640 6574431145248 6848365776300 7304923494720 7396235038404 7791918394368 8116581660800 8218038931560 8765908193664 9131154368400 9245293798005 9739897992960 9861646717872 10272548664450 10389224525824 10957385242080 11687877591552 12174872491200 12327058397340 12986530657280 13148862290496 13696731552600 14609846989440 14792470076808 15408822996675 15583836788736 16233163321600 16436077863120 17531816387328 18262308736800 18490587596010 19479795985920 19723293435744 20545097328900 21914770484160 23375755183104 24349744982400 24654116794680 25973061314560 26297724580992 27393463105200 29219693978880 29584940153616 30817645993350 31167673577472 32466326643200 32872155726240 35063632774656 36524617473600 36981175192020 38959591971840 39446586871488 41090194657800 43829540968320 46226468990025 46751510366208 48699489964800 49308233589360 51946122629120 52595449161984 54786926210400 58439387957760 59169880307232 61635291986700 64932653286400 65744311452480 70127265549312 73049234947200 73962350384040 77919183943680 78893173742976 82180389315600 87659081936640 92452937980050 93503020732416 97398979929600 98616467178720 105190898323968 109573852420800 116878775915520 118339760614464 123270583973400 129865306572800 131488622904960 140254531098624 146098469894400 147924700768080 155838367887360 157786347485952 164360778631200 175318163873280 184905875960100 194797959859200 197232934357440 210381796647936 219147704841600 233757551831040 236679521228928 246541167946800 259730613145600 262977245809920 280509062197248 292196939788800 295849401536160 315572694971904 328721557262400 350636327746560 369811751920200 389595919718400 394465868714880 420763593295872 438295409683200 467515103662080 473359042457856 493082335893600 525954491619840 584393879577600 591698803072320 631145389943808 657443114524800 701272655493120 739623503840400 779191839436800 788931737429760 841527186591744 876590819366400 946718084915712 986164671787200 1051908983239680 1168787759155200 1183397606144640 1262290779887616 1314886229049600 1402545310986240 1479247007680800 1577863474859520 1753181638732800 1893436169831424 1972329343574400 2103817966479360 2337575518310400 2366795212289280 2524581559775232 2629772458099200 2958494015361600 3155726949719040 3506363277465600 3786872339662848 3944658687148800 4207635932958720 4733590424578560 5259544916198400 5916988030723200 6311453899438080 7012726554931200 7573744679325696 7889317374297600 9467180849157120 10519089832396800 11833976061446400 12622907798876160 15778634748595200 18934361698314240 21038179664793600 23667952122892800 31557269497190400 37868723396628480 47335904245785600 63114538994380800 94671808491571200 189343616983142400
• Sum of all divisors σ(n): 703964225104987849
• Sum of proper divisors (its aliquot sum) s(n): 514620608121845449
• 189343616983142400 is an abundant number, because the sum of its proper divisors (514620608121845449) is greater than itself. Its abundance is 325276991138703049

Bases of 189343616983142400

• Binary: 1010100000101011110000010000110110110001001001000000000000₂
• Hexadecimal: 0x2A0AF0436C49000
• Base-36: 1FSCPKTOG000

Squares and roots of 189343616983142400

• 189343616983142400 squared (189343616983142400²) is 35851005292258931084405778677760000
• 189343616983142400 cubed (189343616983142400³) is 6788159014518086205260338273900077003281793024000000
• 189343616983142400 is a perfect square number. Its square root is 435136320
• The cube root of 189343616983142400 is 574226.9303307639

Scales and comparisons

• 189,343,616,983,142,400 seconds is equal to 6,020,541,341 years, 41 weeks, 5 days.
• To count from 1 to 189,343,616,983,142,400 would take you about eighteen billion, sixty-one million, six hundred twenty-four thousand and twenty-five 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 189343616983142400 cubic inches would be around 47852.2 feet tall.

Recreational maths with 189343616983142400

• 189343616983142400 backwards is 004241389616343981
• 189343616983142400 is a Harshad number.
• The number of decimal digits it has is: 18
• The sum of 189343616983142400's digits is 72
• More coming soon!