146150974936842240

Names of 146150974936842240

• Cardinal: 146150974936842240 can be written as One hundred forty-six quadrillion, one hundred fifty trillion, nine hundred seventy-four billion, nine hundred thirty-six million, eight hundred forty-two thousand, two hundred forty.

Scientific notation

• Scientific notation: 1.4615097493684224 × 10¹⁷

Factors of 146150974936842240

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 27
• Sum of prime factors: 212

Divisors of 146150974936842240

• Number of divisors d(n): 1008
• Complete list of divisors:
  1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 53 60 64 80 96 106 120 128 149 159 160 192 212 240 256 265 298 318 320 384 424 447 480 512 530 596 636 640 745 768 795 848 894 960 1024 1060 1192 1272 1280 1490 1536 1590 1696 1788 1920 2048 2120 2235 2384 2544 2560 2809 2980 3072 3180 3392 3576 3840 4096 4240 4470 4768 5088 5120 5618 5960 6144 6360 6784 7152 7680 7897 8192 8427 8480 8940 9536 10176 10240 11236 11920 12288 12720 13568 14045 14304 15360 15794 16384 16854 16960 17880 19072 20352 20480 22201 22472 23691 23840 24576 25440 27136 28090 28608 30720 31588 32768 33708 33920 35760 38144 39485 40704 40960 42135 44402 44944 47382 47680 49152 50880 54272 56180 57216 61440 63176 65536 66603 67416 67840 71520 76288 78970 81408 81920 84270 88804 89888 94764 95360 98304 101760 108544 111005 112360 114432 118455 122880 126352 131072 133206 134832 135680 143040 152576 157940 162816 163840 168540 177608 179776 189528 190720 196608 203520 217088 222010 224720 228864 236910 245760 252704 262144 266412 269664 271360 286080 305152 315880 325632 327680 333015 337080 355216 359552 379056 381440 393216 407040 418541 434176 444020 449440 457728 473820 491520 505408 524288 532824 539328 542720 572160 610304 631760 651264 655360 666030 674160 710432 719104 758112 762880 786432 814080 837082 868352 888040 898880 915456 947640 983040 1010816 1048576 1065648 1078656 1085440 1144320 1176653 1220608 1255623 1263520 1302528 1310720 1332060 1348320 1420864 1438208 1516224 1525760 1572864 1628160 1674164 1736704 1776080 1797760 1830912 1895280 1966080 2021632 2092705 2131296 2157312 2170880 2288640 2353306 2441216 2511246 2527040 2605056 2621440 2664120 2696640 2841728 2876416 3032448 3051520 3145728 3256320 3307949 3348328 3473408 3529959 3552160 3595520 3661824 3790560 3932160 4043264 4185410 4262592 4314624 4341760 4577280 4706612 4882432 5022492 5054080 5210112 5242880 5328240 5393280 5683456 5752832 5883265 6064896 6103040 6278115 6512640 6615898 6696656 6946816 7059918 7104320 7191040 7323648 7581120 7864320 8086528 8370820 8525184 8629248 8683520 9154560 9413224 9764864 9923847 10044984 10108160 10420224 10656480 10786560 11366912 11505664 11766530 12129792 12206080 12556230 13025280 13231796 13393312 13893632 14119836 14208640 14382080 14647296 15162240 15728640 16173056 16539745 16741640 17050368 17258496 17367040 17649795 18309120 18826448 19529728 19847694 20089968 20216320 20840448 21312960 21573120 22733824 23011328 23533060 24259584 24412160 25112460 26050560 26463592 26786624 27787264 28239672 28417280 28764160 29294592 30324480 32346112 33079490 33483280 34100736 34516992 34734080 35299590 36618240 37652896 39059456 39695388 40179936 40432640 41680896 42625920 43146240 45467648 46022656 47066120 48519168 48824320 49619235 50224920 52101120 52927184 53573248 55574528 56479344 56834560 57528320 58589184 60648960 62362609 64692224 66158980 66966560 68201472 69033984 69468160 70599180 73236480 75305792 78118912 79390776 80359872 80865280 83361792 85251840 86292480 90935296 92045312 94132240 97038336 97648640 99238470 100449840 104202240 105854368 107146496 112958688 113669120 115056640 117178368 121297920 124725218 129384448 132317960 133933120 136402944 138067968 138936320 141198360 146472960 150611584 156237824 158781552 160719744 161730560 166723584 170503680 172584960 175321297 181870592 184090624 187087827 188264480 194076672 195297280 198476940 200899680 208404480 211708736 214292992 225917376 227338240 230113280 234356736 242595840 249450436 258768896 264635920 267866240 272805888 276135936 277872640 282396720 292945920 301223168 311813045 317563104 321439488 323461120 341007360 345169920 350642594 363741184 368181248 374175654 376528960 388153344 390594560 396953880 401799360 416808960 423417472 428585984 451834752 454676480 460226560 468713472 485191680 498900872 517537792 525963891 529271840 535732480 545611776 552271872 564793440 585891840 602446336 623626090 635126208 642878976 646922240 682014720 690339840 701285188 727482368 736362496 748351308 753057920 776306688 781189120 793907760 803598720 833617920 846834944 857171968 876606485 903669504 909352960 920453120 935439135 970383360 997801744 1035075584 1051927782 1058543680 1071464960 1091223552 1104543744 1129586880 1171783680 1204892672 1247252180 1270252416 1285757952 1293844480 1364029440 1380679680 1402570376 1454964736 1472724992 1496702616 1506115840 1552613376 1587815520 1607197440 1693669888 1714343936 1753212970 1807339008 1818705920 1840906240 1870878270 1940766720 1995603488 2070151168 2103855564 2117087360 2142929920 2182447104 2209087488 2259173760 2343567360 2409785344 2494504360 2540504832 2571515904 2587688960 2629819455 2728058880 2761359360 2805140752 2909929472 2945449984 2993405232 3012231680 3105226752 3175631040 3214394880 3387339776 3428687872 3506425940 3614678016 3637411840 3681812480 3741756540 3881533440 3991206976 4140302336 4207711128 4234174720 4285859840 4364894208 4418174976 4518347520 4819570688 4989008720 5081009664 5143031808 5175377920 5259638910 5456117760 5522718720 5610281504 5819858944 5986810464 6024463360 6210453504 6351262080 6428789760 6774679552 6857375744 7012851880 7229356032 7274823680 7363624960 7483513080 7763066880 7982413952 8280604672 8415422256 8468349440 8571719680 8729788416 8836349952 9036695040 9292028741 9639141376 9978017440 10162019328 10286063616 10350755840 10519277820 10912235520 11045437440 11220563008 11639717888 11973620928 12048926720 12420907008 12702524160 12857579520 13549359104 13714751488 14025703760 14458712064 14549647360 14727249920 14967026160 15526133760 15964827904 16830844512 16936698880 17143439360 17459576832 18073390080 18584057482 19278282752 19956034880 20324038656 20572127232 20701511680 21038555640 21824471040 22090874880 22441126016 23279435776 23947241856 24097853440 24841814016 25405048320 25715159040 27098718208 27429502976 27876086223 28051407520 28917424128 29099294720 29934052320 31052267520 31929655808 33661689024 33873397760 34286878720 34919153664 36146780160 37168114964 38556565504 39912069760 40648077312 41144254464 41403023360 42077111280 43648942080 44181749760 44882252032 46460143705 47894483712 48195706880 50810096640 51430318080 54197436416 54859005952 55752172446 56102815040 57834848256 58198589440 59868104640 62104535040 63859311616 67323378048 67746795520 68573757440 69838307328 72293560320 74336229928 77113131008 79824139520 81296154624 82288508928 84154222560 87297884160 89764504064 92920287410 95788967424 96391413760 101620193280 102860636160 108394872832 109718011904 111504344892 112205630080 115669696512 116397178880 119736209280 124209070080 127718623232 134646756096 135493591040 137147514880 139380431115 144587120640 148672459856 154226262016 159648279040 162592309248 164577017856 168308445120 174595768320 179529008128 185840574820 191577934848 192782827520 203240386560 205721272320 216789745664 219436023808 223008689784 224411260160 231339393024 239472418560 255437246464 269293512192 270987182080 274295029760 278760862230 289174241280 297344919712 308452524032 319296558080 325184618496 329154035712 336616890240 349191536640 359058016256 371681149640 383155869696 385565655040 406480773120 411442544640 433579491328 438872047616 446017379568 448822520320 462678786048 478944837120 510874492928 538587024384 541974364160 548590059520 557521724460 578348482560 594689839424 616905048064 638593116160 650369236992 658308071424 673233780480 718116032512 743362299280 766311739392 771131310080 812961546240 822885089280 867158982656 892034759136 897645040640 925357572096 957889674240 1021748985856 1077174048768 1083948728320 1097180119040 1115043448920 1156696965120 1189379678848 1233810096128 1277186232320 1300738473984 1316616142848 1346467560960 1436232065024 1486724598560 1532623478784 1542262620160 1625923092480 1645770178560 1734317965312 1784069518272 1795290081280 1850715144192 1915779348480 2043497971712 2154348097536 2167897456640 2194360238080 2230086897840 2313393930240 2378759357696 2554372464640 2601476947968 2692935121920 2872464130048 2973449197120 3065246957568 3084525240320 3251846184960 3291540357120 3468635930624 3568139036544 3590580162560 3701430288384 3831558696960 4086995943424 4308696195072 4335794913280 4460173795680 4626787860480 4757518715392 5108744929280 5202953895936 5385870243840 5744928260096 5946898394240 6130493915136 6169050480640 6503692369920 6583080714240 7136278073088 7181160325120 7663117393920 8173991886848 8617392390144 8671589826560 8920347591360 9253575720960 9515037430784 10217489858560 10405907791872 10771740487680 11489856520192 11893796788480 12260987830272 13007384739840 14272556146176 14362320650240 15326234787840 16347983773696 17234784780288 17343179653120 17840695182720 18507151441920 19030074861568 20434979717120 21543480975360 22979713040384 23787593576960 24521975660544 26014769479680 28545112292352 28724641300480 30652469575680 32695967547392 34469569560576 35681390365440 38060149723136 40869959434240 43086961950720 45959426080768 47575187153920 49043951321088 52029538959360 57090224584704 57449282600960 61304939151360 65391935094784 68939139121152 71362780730880 76120299446272 81739918868480 86173923901440 91918852161536 95150374307840 98087902642176 114180449169408 114898565201920 122609878302720 137878278242304 142725561461760 152240598892544 163479837736960 172347847802880 183837704323072 190300748615680 196175805284352 228360898338816 229797130403840 245219756605440 275756556484608 285451122923520 304481197785088 326959675473920 344695695605760 380601497231360 456721796677632 459594260807680 490439513210880 551513112969216 570902245847040 608962395570176 689391391211520 761202994462720 913443593355264 919188521615360 980879026421760 1141804491694080 1217924791140352 1378782782423040 1522405988925440 1826887186710528 2283608983388160 2435849582280704 2757565564846080 3044811977850880 3653774373421056 4567217966776320 4871699164561408 6089623955701760 7307548746842112 9134435933552640 9743398329122816 12179247911403520 14615097493684224 18268871867105280 24358495822807040 29230194987368448 36537743734210560 48716991645614080 73075487468421120 146150974936842240
• Sum of all divisors σ(n): 479894363406813600
• Sum of proper divisors (its aliquot sum) s(n): 333743388469971360
• 146150974936842240 is an abundant number, because the sum of its proper divisors (333743388469971360) is greater than itself. Its abundance is 187592413533129120

Bases of 146150974936842240

• Binary: 1000000111001110111000100110010000101100000000000000000000₂
• Hexadecimal: 0x2073B8990B00000
• Base-36: 13Z272ZV1P1C

Squares and roots of 146150974936842240

• 146150974936842240 squared (146150974936842240²) is 21360107474989488598356902648217600
• 146150974936842240 cubed (146150974936842240³) is 3121800532225445331921652596599322600360508391424000
• The square root of 146150974936842240 is 382296972.1784914163
• The cube root of 146150974936842240 is 526745.1824090975

Scales and comparisons

• 146,150,974,936,842,240 seconds is equal to 4,647,148,928 years, 17 weeks, 6 days, 3 hours, 44 minutes.
• To count from 1 to 146,150,974,936,842,240 would take you about thirteen billion, nine hundred forty-one million, four hundred forty-six thousand, seven hundred eighty-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 146150974936842240 cubic inches would be around 43895.4 feet tall.

Recreational maths with 146150974936842240

• 146150974936842240 backwards is 042248639479051641
• The number of decimal digits it has is: 18
• The sum of 146150974936842240's digits is 75
• More coming soon!