480038973901728000

Names of 480038973901728000

• Cardinal: 480038973901728000 can be written as Four hundred eighty quadrillion, thirty-eight trillion, nine hundred seventy-three billion, nine hundred one million, seven hundred twenty-eight thousand.

Scientific notation

• Scientific notation: 4.80038973901728 × 10¹⁷

Factors of 480038973901728000

• Number of distinct prime factors ω(n): 7
• Total number of prime factors Ω(n): 16
• Sum of prime factors: 6964

Divisors of 480038973901728000

• Number of divisors d(n): 1152
• Complete list of divisors:
  1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 60 64 75 80 96 100 120 125 128 150 160 192 200 240 250 256 300 320 375 384 400 480 500 600 640 683 750 768 800 960 1000 1093 1200 1280 1366 1500 1600 1920 2000 2049 2186 2400 2521 2657 2732 3000 3200 3279 3415 3840 4000 4098 4372 4800 5042 5314 5464 5465 6000 6400 6558 6830 7563 7971 8000 8196 8744 9600 10084 10245 10628 10928 10930 12000 12605 13116 13285 13660 15126 15942 16000 16392 16395 17075 17488 19200 20168 20490 21256 21856 21860 24000 25210 26232 26570 27320 27325 30252 31884 32000 32784 32790 34150 34976 37815 39855 40336 40980 42512 43712 43720 48000 50420 51225 52464 53140 54640 54650 60504 63025 63768 65568 65580 66425 68300 69952 75630 79710 80672 81960 81975 85024 85375 87424 87440 96000 100840 102450 104928 106280 109280 109300 121008 126050 127536 131136 131160 132850 136600 136625 139904 151260 159420 161344 163920 163950 170048 170750 174848 174880 189075 199275 201680 204900 209856 212560 218560 218600 242016 252100 255072 256125 262272 262320 265700 273200 273250 279808 302520 315125 318840 322688 327840 327900 332125 340096 341500 349760 378150 398550 403360 409800 409875 419712 425120 437120 437200 484032 504200 510144 512250 524544 524640 531400 546400 546500 605040 630250 637680 645376 655680 655800 664250 680192 683000 699520 746519 756300 797100 806720 819600 819750 839424 850240 874240 874400 945375 968064 996375 1008400 1020288 1024500 1049280 1062800 1092800 1093000 1210080 1260500 1275360 1311360 1311600 1328500 1366000 1399040 1493038 1512600 1594200 1613440 1639200 1639500 1700480 1721843 1748800 1814731 1890750 1936128 1992750 2016800 2040576 2049000 2098560 2125600 2185600 2186000 2239557 2420160 2521000 2550720 2622720 2623200 2657000 2732000 2755453 2904101 2986076 3025200 3188400 3226880 3278400 3279000 3400960 3443686 3497600 3629462 3732595 3781500 3985500 4033600 4098000 4197120 4251200 4371200 4372000 4479114 4840320 5042000 5101440 5165529 5246400 5314000 5444193 5464000 5510906 5808202 5972152 6050400 6376800 6556800 6558000 6698297 6887372 6995200 7258924 7465190 7563000 7971000 8067200 8196000 8266359 8502400 8609215 8712303 8744000 8958228 9073655 9680640 10084000 10202880 10331058 10492800 10628000 10888386 10928000 11021812 11197785 11616404 11944304 12100800 12753600 13113600 13116000 13396594 13774744 13777265 14517848 14520505 14930380 15126000 15942000 16134400 16392000 16532718 17004800 17218430 17424606 17488000 17916456 18147310 18662975 20094891 20168000 20662116 20985600 21256000 21776772 21856000 22043624 22395570 23232808 23888608 24201600 25507200 25827645 26232000 26793188 27220965 27549488 27554530 29035696 29041010 29860760 30252000 31884000 32784000 33065436 33491485 34436860 34849212 34976000 35832912 36294620 37325950 40189782 40336000 41324232 41331795 42512000 43046075 43553544 43561515 44087248 44791140 45368275 46465616 47777216 48403200 51014400 51655290 52464000 53586376 54441930 55098976 55109060 55988925 58071392 58082020 59721520 60504000 63768000 65568000 66130872 66982970 68873720 68886325 69698424 71665824 72589240 72602525 74651900 80379564 80672000 82648464 82663590 85024000 86092150 87107088 87123030 88174496 89582280 90736550 92931232 93314875 95554432 100474455 103310580 104928000 107172752 108883860 110197952 110218120 111977850 116142784 116164040 119443040 121008000 127536000 129138225 132261744 133965940 136104825 137747440 137772650 139396848 143331648 145178480 145205050 149303800 160759128 165296928 165327180 167457425 172184300 174214176 174246060 176348992 179164560 181473100 185862464 186629750 191108864 200948910 206621160 206658975 214345504 215230375 217767720 217807575 220395904 220436240 223955700 226841375 232285568 232328080 238886080 242016000 255072000 258276450 264523488 267931880 272209650 275494880 275545300 278793696 279944625 286663296 290356960 290410100 298607600 321518256 330593856 330654360 334914850 344368600 344431625 348428352 348492120 352697984 358329120 362946200 363012625 371724928 373259500 401897820 413242320 413317950 428691008 430460750 435535440 435615150 440791808 440872480 447911400 453682750 464571136 464656160 477772160 502372275 516552900 529046976 535863760 544419300 550989760 551090600 557587392 559889250 573326592 580713920 580820200 597215200 643036512 645691125 661187712 661308720 669829700 680524125 688737200 688863250 696856704 696984240 705395968 716658240 725892400 726025250 743449856 746519000 803795640 826484640 826635900 837287125 857382016 860921500 871070880 871230300 881744960 895822800 907365500 929312320 955544320 1004744550 1033105800 1033294875 1058093952 1071727520 1088838600 1089037875 1101979520 1102181200 1115174784 1119778500 1161427840 1161640400 1194430400 1286073024 1291382250 1322375424 1322617440 1339659400 1361048250 1377474400 1377726500 1393713408 1393968480 1433316480 1451784800 1452050500 1493038000 1607591280 1652969280 1653271800 1674574250 1714764032 1721843000 1742141760 1742460600 1763489920 1791645600 1814731000 1858624640 1881974399 1983500983 2009489100 2066211600 2066589750 2116187904 2143455040 2177677200 2178075750 2203959040 2204362400 2230349568 2239557000 2322855680 2323280800 2388860800 2511861375 2572146048 2582764500 2645234880 2679318800 2722096500 2754948800 2755453000 2787936960 2866632960 2903569600 2904101000 2986076000 3215182560 3305938560 3306543600 3349148500 3443686000 3484283520 3484921200 3526979840 3583291200 3629462000 3717249280 3763948798 3967001966 4018978200 4132423200 4133179500 4286910080 4355354400 4356151500 4408724800 4479114000 4574936851 4646561600 4777721600 5023722750 5144292096 5165529000 5290469760 5358637600 5444193000 5509897600 5510906000 5575873920 5645923197 5807139200 5808202000 5950502949 5972152000 6430365120 6611877120 6613087200 6698297000 6887372000 6968567040 6969842400 7166582400 7258924000 7321238621 7527897596 7934003932 8037956400 8264846400 8266359000 8573820160 8710708800 8712303000 8817449600 8958228000 9149873702 9293123200 9409871995 9917504915 10047445500 10331058000 10580939520 10717275200 10888386000 11019795200 11021812000 11151747840 11291846394 11614278400 11616404000 11901005898 11944304000 12860730240 13226174400 13396594000 13724810553 13774744000 13939684800 14333164800 14517848000 14642477242 15055795192 15868007864 16075912800 16529692800 16532718000 17421417600 17424606000 17634899200 17916456000 18299747404 18586246400 18819743990 19835009830 20094891000 20662116000 21434550400 21776772000 21963715863 22043624000 22583692788 22874684255 23232808000 23802011796 23888608000 25721460480 26452348800 26793188000 27449621106 27549488000 27879369600 28229615985 29035696000 29284954484 29752514745 30111590384 31736015728 32151825600 33059385600 33065436000 34842835200 34849212000 35832912000 36599494808 36606193105 37639487980 39670019660 40189782000 41324232000 42869100800 43553544000 43927431726 44087248000 45167385576 45749368510 46465616000 47049359975 47604023592 49587524575 52904697600 53586376000 54899242212 55098976000 55758739200 56459231970 58071392000 58569908968 59505029490 60223180768 63472031456 64303651200 66130872000 68624052765 69698424000 71665824000 73198989616 73212386210 75278975960 79340039320 80379564000 82648464000 87107088000 87854863452 88174496000 90334771152 91498737020 92931232000 94098719950 95208047184 99175049150 107172752000 109798484424 109818579315 112918463940 114373421275 117139817936 119010058980 120446361536 126944062912 128607302400 132261744000 137248105530 139396848000 141148079925 146397979232 146424772420 148762573725 150557951920 158680078640 160759128000 165296928000 174214176000 175709726904 180669542304 182997474040 183030965525 188197439900 190416094368 198350098300 214345504000 219596968848 219637158630 225836927880 228746842550 234279635872 235246799875 238020117960 240892723072 247937622875 253888125824 264523488000 274496211060 278793696000 282296159850 292795958464 292849544840 297525147450 301115903840 317360157280 321518256000 343120263825 351419453808 361339084608 365994948080 366061931050 376394879800 380832188736 396700196600 439193937696 439274317260 451673855760 457493685100 468559271744 470493599750 476040235920 481785446144 495875245750 507776251648 548992422120 549092896575 564592319700 571867106375 585591916928 585699089680 595050294900 602231807680 634720314560 643036512000 686240527650 702838907616 705740399625 722678169216 731989896160 732123862100 743812868625 752789759600 761664377472 793400393200 878387875392 878548634520 903347711520 914987370200 915154827625 937118543488 940987199500 952080471840 991750491500 1097984844240 1098185793150 1129184639400 1143734212750 1171183833856 1171398179360 1190100589800 1204463615360 1269440629120 1372481055300 1405677815232 1411480799250 1445356338432 1463979792320 1464247724200 1487625737250 1505579519200 1523328754944 1586800786400 1715601319125 1756775750784 1757097269040 1806695423040 1829974740400 1830309655250 1874237086976 1881974399000 1904160943680 1983500983000 2195969688480 2196371586300 2258369278800 2287468425500 2342796358720 2380201179600 2408927230720 2538881258240 2744962110600 2745464482875 2811355630464 2822961598500 2927959584640 2928495448400 2975251474500 3011159038400 3173601572800 3431202638250 3513551501568 3514194538080 3613390846080 3659949480800 3660619310500 3763948798000 3808321887360 3967001966000 4391939376960 4392743172600 4516738557600 4574936851000 4685592717440 4760402359200 5000405978143 5489924221200 5490928965750 5622711260928 5645923197000 5855919169280 5856990896800 5950502949000 6022318076800 6347203145600 6862405276500 7028389076160 7226781692160 7319898961600 7321238621000 7527897596000 7616643774720 7934003932000 8783878753920 8785486345200 9033477115200 9149873702000 9371185434880 9520804718400 10000811956286 10979848442400 10981857931500 11291846394000 11713981793600 11901005898000 12044636153600 12694406291200 13724810553000 14056778152320 14639797923200 14642477242000 15001217934429 15055795192000 15868007864000 17567757507840 17570972690400 18066954230400 18299747404000 19041609436800 20001623912572 21959696884800 21963715863000 22583692788000 23427963587200 23802011796000 25002029890715 27449621106000 28113556304640 29279595846400 29284954484000 30002435868858 30111590384000 31736015728000 35141945380800 36133908460800 36599494808000 38083218873600 40003247825144 43919393769600 43927431726000 45167385576000 46855927174400 47604023592000 50004059781430 54899242212000 58569908968000 60004871737716 60223180768000 63472031456000 70283890761600 73198989616000 75006089672145 80006495650288 87838787539200 87854863452000 90334771152000 95208047184000 100008119562860 109798484424000 117139817936000 120009743475432 125010149453575 140567781523200 146397979232000 150012179344290 160012991300576 175709726904000 180669542304000 190416094368000 200016239125720 219596968848000 234279635872000 240019486950864 250020298907150 300024358688580 320025982601152 351419453808000 375030448360725 400032478251440 439193937696000 480038973901728 500040597814300 600048717377160 625050747267875 640051965202304 702838907616000 750060896721450 800064956502880 960077947803456 1000081195628600 1200097434754320 1250101494535750 1280103930404608 1500121793442900 1600129913005760 1875152241803625 1920155895606912 2000162391257200 2400194869508640 2500202989071500 3000243586885800 3200259826011520 3750304483607250 3840311791213824 4000324782514400 4800389739017280 5000405978143000 6000487173771600 6400519652023040 7500608967214500 8000649565028800 9600779478034560 10000811956286000 12000974347543200 15001217934429000 16001299130057600 19201558956069120 20001623912572000 24001948695086400 30002435868858000 32002598260115200 40003247825144000 48003897390172800 60004871737716000 80006495650288000 96007794780345600 120009743475432000 160012991300576000 240019486950864000 480038973901728000
• Sum of all divisors σ(n): 1599480583268166144
• Sum of proper divisors (its aliquot sum) s(n): 1119441609366438144
• 480038973901728000 is an abundant number, because the sum of its proper divisors (1119441609366438144) is greater than itself. Its abundance is 639402635464710144

Bases of 480038973901728000

• Binary: 11010101001011100001110011101000101110000010110100100000000₂
• Hexadecimal: 0x6A970E745C16900
• Base-36: 3NANM47A2NEO

Squares and roots of 480038973901728000

• 480038973901728000 squared (480038973901728000²) is 230437416464623895903801385984000000
• 480038973901728000 cubed (480038973901728000³) is 110618940948243216494732100529278970612580352000000000
• The square root of 480038973901728000 is 692848449.4474444589
• The cube root of 480038973901728000 is 782994.7190028511

Scales and comparisons

• 480,038,973,901,728,000 seconds is equal to 15,263,754,512 years, 1 week, 6 days, 2 hours, 40 minutes.
• To count from 1 to 480,038,973,901,728,000 would take you about forty-five billion, seven hundred ninety-one million, two hundred sixty-three thousand, five hundred thirty-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 480038973901728000 cubic inches would be around 65249.6 feet tall.

Recreational maths with 480038973901728000

• 480038973901728000 backwards is 000827109379830084
• The number of decimal digits it has is: 18
• The sum of 480038973901728000's digits is 69
• More coming soon!