480456340832000

Names of 480456340832000

• Cardinal: 480456340832000 can be written as Four hundred eighty trillion, four hundred fifty-six billion, three hundred forty million, eight hundred thirty-two thousand.

Scientific notation

• Scientific notation: 4.80456340832 × 10¹⁴

Factors of 480456340832000

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 19
• Sum of prime factors: 144

Divisors of 480456340832000

• Number of divisors d(n): 1440
• Complete list of divisors:
  1 2 4 5 8 10 13 16 17 20 25 26 32 34 40 50 52 64 65 68 80 85 100 104 107 125 128 130 136 160 169 170 200 208 214 221 250 256 260 272 289 320 325 338 340 400 416 425 428 442 500 520 535 544 578 640 650 676 680 800 832 845 850 856 884 1000 1040 1070 1088 1105 1156 1280 1300 1352 1360 1391 1445 1600 1625 1664 1690 1700 1712 1768 1819 2000 2080 2125 2140 2176 2197 2210 2312 2600 2675 2704 2720 2782 2873 2890 3200 3250 3328 3380 3400 3424 3536 3638 3757 4000 4160 4225 4250 4280 4352 4394 4420 4624 4913 5200 5350 5408 5440 5525 5564 5746 5780 6400 6500 6760 6800 6848 6955 7072 7225 7276 7514 8000 8320 8450 8500 8560 8788 8840 9095 9248 9826 10400 10700 10816 10880 10985 11050 11128 11492 11560 13000 13375 13520 13600 13696 13910 14144 14365 14450 14552 15028 16000 16640 16900 17000 17120 17576 17680 18083 18190 18496 18785 19652 20800 21125 21400 21632 21760 21970 22100 22256 22984 23120 23647 24565 26000 26750 27040 27200 27392 27625 27820 28288 28561 28730 28900 29104 30056 30923 32000 33800 34000 34240 34775 35152 35360 36125 36166 36380 36992 37349 37570 39304 41600 42250 42800 43264 43940 44200 44512 45475 45968 46240 47294 48841 49130 52000 53500 54080 54400 54925 55250 55640 56576 57122 57460 57800 58208 60112 61846 63869 67600 68000 68480 69550 70304 70720 71825 72250 72332 72760 73984 74698 75140 78608 83200 84500 85600 87880 88400 89024 90415 90950 91936 92480 93925 94588 97682 98260 104000 107000 108160 108800 109850 110500 111280 114244 114920 115600 116416 118235 120224 122825 123692 127738 135200 136000 136960 139100 140608 141440 142805 143650 144500 144664 145520 149396 150280 154615 157216 169000 171200 173875 175760 176800 178048 180830 181900 183872 184960 186745 187850 189176 195364 196520 208000 214000 216320 219700 221000 222560 227375 228488 229840 231200 232832 235079 236470 240448 244205 245650 247384 255476 270400 272000 274625 278200 281216 282880 285610 287300 289000 289328 291040 298792 300560 307411 309230 314432 319345 338000 342400 347750 351520 353600 356096 359125 361660 363800 367744 369920 373490 375700 378352 390728 393040 401999 416000 428000 439400 442000 445120 452075 454750 456976 459680 462400 465664 469625 470158 472940 480896 485537 488410 491300 494768 510952 525691 540800 544000 549250 556400 562432 571220 574600 578000 578656 582080 591175 597584 601120 614125 614822 618460 628864 634933 638690 676000 684800 695500 703040 707200 714025 718250 723320 727600 735488 746980 751400 756704 773075 781456 786080 803998 830297 856000 878800 884000 890240 904150 909500 913952 919360 924800 933725 939250 940316 945880 961792 971074 976820 982600 989536 1021904 1051382 1081600 1098500 1112800 1142440 1149200 1156000 1157312 1164160 1175395 1182350 1195168 1202240 1221025 1228250 1229644 1236920 1257728 1269866 1277380 1352000 1391000 1406080 1414400 1428050 1436500 1446640 1455200 1493960 1502800 1513408 1537055 1546150 1562912 1572160 1596725 1607996 1660594 1712000 1757600 1768000 1780480 1808300 1819000 1827904 1838720 1849600 1867450 1878500 1880632 1891760 1942148 1953640 1965200 1979072 2009995 2043808 2102764 2197000 2225600 2260375 2284880 2298400 2312000 2314624 2328320 2350790 2364700 2390336 2404480 2427685 2442050 2456500 2459288 2473840 2539732 2554760 2628455 2704000 2782000 2812160 2856100 2873000 2893280 2910400 2955875 2987920 3005600 3026816 3056027 3074110 3092300 3125824 3144320 3174665 3193450 3215992 3321188 3424000 3515200 3536000 3570125 3616600 3638000 3655808 3677440 3734900 3757000 3761264 3783520 3865375 3884296 3907280 3930400 3958144 3996343 4019990 4087616 4151485 4205528 4394000 4451200 4520750 4569760 4596800 4624000 4629248 4668625 4701580 4729400 4780672 4808960 4855370 4884100 4913000 4918576 4947680 5079464 5109520 5225987 5256910 5408000 5564000 5712200 5746000 5786560 5820800 5876975 5911750 5975840 6011200 6053632 6105125 6112054 6148220 6184600 6251648 6288640 6349330 6386900 6431984 6642376 6833983 7030400 7072000 7140250 7233200 7276000 7311616 7469800 7514000 7522528 7567040 7685275 7730750 7768592 7814560 7860800 7916288 7983625 7992686 8039980 8175232 8254129 8302970 8411056 8788000 8902400 9041500 9139520 9193600 9248000 9337250 9403160 9458800 9561344 9710740 9768200 9826000 9837152 9895360 10049975 10158928 10219040 10451974 10513820 10793861 11128000 11424400 11492000 11573120 11641600 11753950 11823500 11951680 12022400 12138425 12210250 12224108 12296440 12369200 12503296 12698660 12773800 12863968 13142275 13284752 13667966 14060800 14280500 14466400 14552000 14939600 15028000 15045056 15134080 15280135 15370550 15461500 15537184 15629120 15721600 15873325 15967250 15985372 16079960 16350464 16508258 16605940 16822112 17576000 18083000 18279040 18387200 18674500 18806320 18917600 19421480 19536400 19652000 19674304 19790720 19981715 20099950 20317856 20438080 20757425 20903948 21027640 21587722 22256000 22848800 22984000 23146240 23507900 23647000 23903360 24044800 24276850 24420500 24448216 24592880 24738400 25397320 25547600 25727936 26129935 26284550 26569504 27335932 28561000 28932800 29104000 29384875 29879200 30056000 30090112 30268160 30560270 30741100 30923000 31074368 31258240 31443200 31746650 31934500 31970744 32159920 33016516 33211880 33644224 34169915 35152000 36166000 36558080 37349000 37612640 37835200 38426375 38842960 39072800 39304000 39348608 39581440 39963430 40199900 40635712 40876160 41270645 41514850 41807896 42055280 43175444 44512000 45697600 45968000 47015800 47294000 47806720 48553700 48841000 48896432 49185760 49476800 50249875 50794640 51095200 51455872 51952459 52259870 52569100 53139008 53969305 54671864 57122000 57865600 58208000 58769750 59758400 60112000 60180224 60692125 61120540 61482200 61846000 62148736 62516480 63493300 63869000 63941488 64319840 65711375 66033032 66423760 67288448 67937831 68339830 70304000 72332000 74698000 75225280 75670400 76400675 76852750 77685920 78145600 78608000 78697216 79366625 79926860 80399800 81271424 81752320 82541290 83029700 83615792 84110560 86350888 88841779 91395200 91936000 94031600 94588000 97107400 97682000 97792864 98371520 98953600 99908575 100499750 101589280 102190400 102911744 103787125 103904918 104519740 105138200 106278016 107938610 109343728 114244000 115731200 117539500 119516800 120224000 121384250 122241080 122964400 123692000 124297472 126986600 127738000 127882976 128639680 130649675 131422750 132066064 132847520 134576896 135875662 136679660 140320193 144664000 149396000 150450560 151340800 152801350 153705500 155371840 156291200 157216000 158733250 159853720 160799600 162542848 165082580 166059400 167231584 168221120 170849575 172701776 177683558 182790400 188063200 189176000 194214800 195364000 195585728 196743040 197907200 199817150 200999500 203178560 204380800 206353225 207574250 207809836 209039480 210276400 212556032 215877220 218687456 228488000 235079000 239033600 242768500 244482160 245928800 247384000 253973200 255476000 255765952 257279360 259762295 261299350 262845500 264132128 265695040 269846525 271751324 273359320 280640386 289328000 298792000 300901120 305602700 307411000 310743680 312582400 317466500 319707440 321599200 330165160 332118800 334463168 336442240 339689155 341699150 345403552 355367116 376126400 378352000 382003375 388429600 390728000 391171456 393486080 399634300 401999000 406357120 408761600 412706450 415148500 415619672 418078960 420552800 431754440 437374912 444208895 456976000 470158000 485537000 488964320 491857600 494768000 499542875 507946400 510952000 511531904 514558720 519524590 522598700 525691000 528264256 531390080 539693050 543502648 546718640 561280772 578656000 597584000 611205400 614822000 621487360 634933000 639414880 643198400 653248375 660330320 664237600 668926336 672884480 679378310 683398300 690807104 701600965 710734232 752252800 756704000 764006750 776859200 781456000 782342912 799268600 803998000 812714240 825412900 830297000 831239344 836157920 841105600 854247875 863508880 874749824 883191803 888417790 913952000 940316000 971074000 977928640 983715200 989536000 999085750 1015892800 1021904000 1023063808 1031766125 1039049180 1045197400 1051382000 1056528512 1062780160 1079386100 1087005296 1093437280 1122561544 1154943127 1195168000 1222410800 1229644000 1269866000 1278829760 1286396800 1298811475 1306496750 1320660640 1328475200 1337852672 1349232625 1358756620 1366796600 1381614208 1403201930 1421468464 1504505600 1528013500 1553718400 1562912000 1598537200 1607996000 1650825800 1660594000 1662478688 1672315840 1682211200 1698445775 1708495750 1727017760 1749499648 1766383606 1776835580 1880632000 1942148000 1955857280 1967430400 1998171500 2031785600 2043808000 2063532250 2078098360 2090394800 2102764000 2113057024 2158772200 2174010592 2186874560 2221044475 2245123088 2309886254 2444821600 2459288000 2539732000 2557659520 2572793600 2597622950 2612993500 2641321280 2656950400 2698465250 2717513240 2733593200 2763228416 2806403860 2842936928 3056027000 3107436800 3197074400 3215992000 3301651600 3321188000 3324957376 3344631680 3364422400 3396891550 3416991500 3454035520 3508004825 3532767212 3553671160 3761264000 3884296000 3911714560 3996343000 4063571200 4127064500 4156196720 4180789600 4205528000 4317544400 4348021184 4373749120 4415959015 4442088950 4490246176 4619772508 4889643200 4918576000 5079464000 5115319040 5195245900 5225987000 5282642560 5313900800 5396930500 5435026480 5467186400 5612807720 5685873856 5774715635 6112054000 6394148800 6431984000 6494057375 6603303200 6642376000 6649914752 6689263360 6793783100 6833983000 6908071040 7016009650 7065534424 7107342320 7522528000 7768592000 7992686000 8254129000 8312393440 8361579200 8411056000 8492228875 8635088800 8696042368 8747498240 8831918030 8884177900 8980492352 9239545016 9779286400 9837152000 10158928000 10390491800 10451974000 10565285120 10793861000 10870052960 10934372800 11105222375 11225615440 11371747712 11549431270 12224108000 12788297600 12863968000 12988114750 13206606400 13284752000 13299829504 13587566200 13667966000 13816142080 14032019300 14131068848 14214684640 15014260651 15537184000 15985372000 16508258000 16624786880 16723158400 16822112000 16984457750 17270177600 17392084736 17540024125 17663836060 17768355800 17960984704 18479090032 19558572800 20317856000 20780983600 20903948000 21587722000 21740105920 21868745600 22079795075 22210444750 22451230880 22743495424 23098862540 24448216000 25576595200 25976229500 26413212800 26569504000 27175132400 27335932000 28064038600 28262137696 28429369280 28873578175 30028521302 31970744000 33016516000 33249573760 33446316800 33968915500 34540355200 35080048250 35327672120 35536711600 35921969408 36958180064 41561967200 41807896000 43175444000 43480211840 43737491200 44159590150 44420889500 44902461760 46197725080 48896432000 51952459000 52826425600 54350264800 54671864000 56128077200 56524275392 56858738560 57747156350 60057042604 63941488000 66033032000 66499147520 67937831000 69080710400 70160096500 70655344240 71073423200 73916360128 75071303255 83123934400 83615792000 86350888000 86960423680 88319180300 88841779000 89804923520 92395450160 97792864000 103904918000 108700529600 109343728000 110398975375 112256154400 113048550784 113717477120 115494312700 120114085208 127882976000 132066064000 135875662000 140320193000 141310688480 142146846400 144367890875 147832720256 150142606510 166247868800 167231584000 172701776000 176638360600 177683558000 179609847040 184790900320 207809836000 217401059200 218687456000 220797950750 224512308800 226097101568 230988625400 240228170416 264132128000 271751324000 280640386000 282621376960 284293692800 288735781750 295665440512 300285213020 332495737600 345403552000 353276721200 355367116000 369581800640 375356516275 415619672000 434802118400 441595901500 449024617600 461977250800 480456340832 543502648000 561280772000 565242753920 568587385600 577471563500 600570426040 706553442400 710734232000 739163601280 750713032550 831239344000 883191803000 898049235200 923954501600 960912681664 1087005296000 1122561544000 1130485507840 1154943127000 1201140852080 1413106884800 1421468464000 1478327202560 1501426065100 1662478688000 1766383606000 1847909003200 1876782581375 1921825363328 2174010592000 2245123088000 2309886254000 2402281704160 2826213769600 2842936928000 3002852130200 3532767212000 3695818006400 3753565162750 3843650726656 4490246176000 4619772508000 4804563408320 5652427539200 6005704260400 7065534424000 7391636012800 7507130325500 9239545016000 9609126816640 12011408520800 14131068848000 15014260651000 18479090032000 19218253633280 24022817041600 28262137696000 30028521302000 36958180064000 48045634083200 60057042604000 96091268166400 120114085208000 240228170416000 480456340832000
• Sum of all divisors σ(n): 1390509956122560
• Sum of proper divisors (its aliquot sum) s(n): 910053615290560
• 480456340832000 is an abundant number, because the sum of its proper divisors (910053615290560) is greater than itself. Its abundance is 429597274458560

Bases of 480456340832000

• Binary: 1101101001111100011110101100001100111111100000000₂
• Hexadecimal: 0x1B4F8F5867F00
• Base-36: 4QB2LGBDVK

Squares and roots of 480456340832000

• 480456340832000 squared (480456340832000²) is 230838295445674950452224000000
• 480456340832000 cubed (480456340832000³) is 110907722753725117334758446676410368000000000
• The square root of 480456340832000 is 21919314.3330716439
• The cube root of 480456340832000 is 78322.1576581427

Scales and comparisons

• 480,456,340,832,000 seconds is equal to 15,277,025 years, 25 weeks, 3 days, 3 hours, 33 minutes, 20 seconds.
• To count from 1 to 480,456,340,832,000 would take you about thirty-eight million, one hundred ninety-two thousand, five hundred sixty-three 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 480456340832000 cubic inches would be around 6526.8 feet tall.

Recreational maths with 480456340832000

• 480456340832000 backwards is 000238043654084
• The number of decimal digits it has is: 15
• The sum of 480456340832000's digits is 47
• More coming soon!