480961152000

Names of 480961152000

• Cardinal: 480961152000 can be written as Four hundred eighty billion, nine hundred sixty-one million, one hundred fifty-two thousand.

Scientific notation

• Scientific notation: 4.80961152 × 10¹¹

Factors of 480961152000

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 21
• Sum of prime factors: 64

Divisors of 480961152000

• Number of divisors d(n): 1584
• 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 47 48 50 54 56 60 63 64 70 72 75 80 81 84 90 94 96 100 105 108 112 120 125 126 128 135 140 141 144 150 160 162 168 175 180 188 189 192 200 210 216 224 225 235 240 243 250 252 256 270 280 282 288 300 315 320 324 329 336 350 360 375 376 378 384 400 405 420 423 432 448 450 470 480 486 500 504 512 525 540 560 564 567 576 600 630 640 648 658 672 675 700 705 720 750 752 756 768 800 810 840 846 864 875 896 900 940 945 960 972 987 1000 1008 1024 1050 1080 1120 1125 1128 1134 1152 1175 1200 1215 1260 1269 1280 1296 1316 1344 1350 1400 1410 1440 1500 1504 1512 1536 1575 1600 1620 1645 1680 1692 1701 1728 1750 1792 1800 1880 1890 1920 1944 1974 2000 2016 2025 2100 2115 2160 2209 2240 2250 2256 2268 2304 2350 2400 2430 2520 2538 2560 2592 2625 2632 2688 2700 2800 2820 2835 2880 2961 3000 3008 3024 3072 3150 3200 3240 3290 3360 3375 3384 3402 3456 3500 3525 3584 3600 3760 3780 3807 3840 3888 3948 4000 4032 4050 4200 4230 4320 4418 4480 4500 4512 4536 4608 4700 4725 4800 4860 4935 5040 5076 5120 5184 5250 5264 5376 5400 5600 5640 5670 5760 5875 5922 6000 6016 6048 6075 6300 6345 6400 6480 6580 6627 6720 6750 6768 6804 6912 7000 7050 7168 7200 7520 7560 7614 7680 7776 7875 7896 8000 8064 8100 8225 8400 8460 8505 8640 8836 8883 8960 9000 9024 9072 9216 9400 9450 9600 9720 9870 10080 10125 10152 10368 10500 10528 10575 10752 10800 11045 11200 11280 11340 11421 11520 11750 11844 12000 12032 12096 12150 12600 12690 12800 12960 13160 13254 13440 13500 13536 13608 13824 14000 14100 14175 14400 14805 15040 15120 15228 15360 15463 15552 15750 15792 16000 16128 16200 16450 16800 16920 17010 17280 17625 17672 17766 17920 18000 18048 18144 18800 18900 19035 19200 19440 19740 19881 20160 20250 20304 20736 21000 21056 21150 21504 21600 22090 22400 22560 22680 22842 23040 23500 23625 23688 24000 24064 24192 24300 24675 25200 25380 25600 25920 26320 26508 26649 26880 27000 27072 27216 27648 28000 28200 28350 28800 29610 30080 30240 30375 30456 30926 31104 31500 31584 31725 32000 32256 32400 32900 33135 33600 33840 34020 34560 35250 35344 35532 35840 36000 36096 36288 37600 37800 38070 38400 38880 39480 39762 40320 40500 40608 41125 41472 42000 42112 42300 42525 43200 44180 44415 44800 45120 45360 45684 46080 46389 47000 47250 47376 48000 48128 48384 48600 49350 50400 50760 51840 52640 52875 53016 53298 53760 54000 54144 54432 55225 56000 56400 56700 57105 57600 59220 59643 60160 60480 60750 60912 61852 62208 63000 63168 63450 64000 64512 64800 65800 66270 67200 67680 68040 69120 70500 70688 70875 71064 72000 72192 72576 74025 75200 75600 76140 76800 77315 77760 78960 79524 79947 80640 81000 81216 82250 82944 84000 84224 84600 85050 86400 88360 88830 89600 90240 90720 91368 92778 94000 94500 94752 95175 96000 96768 97200 98700 99405 100800 101520 103680 105280 105750 106032 106596 107520 108000 108288 108864 110450 112000 112800 113400 114210 115200 118440 119286 120320 120960 121500 121824 123375 123704 124416 126000 126336 126900 128000 129600 131600 132540 133245 134400 135360 136080 138240 139167 141000 141376 141750 142128 144000 144384 145152 148050 150400 151200 152280 154630 155520 157920 158625 159048 159894 161280 162000 162432 164500 165675 168000 168448 169200 170100 172800 176720 177660 178929 179200 180480 181440 182736 185556 188000 189000 189504 190350 192000 193536 194400 197400 198810 201600 203040 207360 210560 211500 212064 212625 213192 216000 216576 217728 220900 222075 224000 225600 226800 228420 230400 231945 236880 238572 240640 241920 243000 243648 246750 247408 248832 252000 252672 253800 259200 263200 265080 266490 268800 270720 272160 276125 278334 282000 282752 283500 284256 285525 288000 290304 296100 298215 300800 302400 304560 309260 311040 315840 317250 318096 319788 322560 324000 324864 329000 331350 336000 336896 338400 340200 345600 353440 355320 357858 360960 362880 365472 370125 371112 376000 378000 379008 380700 384000 386575 388800 394800 397620 399735 403200 406080 414720 417501 421120 423000 424128 425250 426384 432000 433152 435456 441800 444150 448000 451200 453600 456840 463890 473760 475875 477144 483840 486000 487296 493500 494816 497025 504000 505344 507600 518400 526400 530160 532980 536787 537600 541440 544320 552250 556668 564000 565504 567000 568512 571050 576000 580608 592200 596430 601600 604800 609120 618520 622080 631680 634500 636192 639576 648000 649728 658000 662700 666225 672000 676800 680400 691200 695835 706880 710640 715716 721920 725760 730944 740250 742224 752000 756000 758016 761400 773150 777600 789600 795240 799470 806400 812160 828375 835002 842240 846000 848256 850500 852768 864000 870912 883600 888300 894645 896000 902400 907200 913680 927780 947520 951750 954288 967680 972000 974592 987000 989632 994050 1008000 1010688 1015200 1036800 1052800 1060320 1065960 1073574 1082880 1088640 1104500 1110375 1113336 1128000 1131008 1134000 1137024 1142100 1152000 1159725 1184400 1192860 1203200 1209600 1218240 1237040 1244160 1252503 1263360 1269000 1272384 1279152 1296000 1299456 1316000 1325400 1332450 1344000 1353600 1360800 1391670 1413760 1421280 1427625 1431432 1451520 1461888 1480500 1484448 1491075 1504000 1512000 1516032 1522800 1546300 1555200 1579200 1590480 1598940 1612800 1624320 1656750 1670004 1684480 1692000 1696512 1701000 1705536 1728000 1741824 1767200 1776600 1789290 1804800 1814400 1827360 1855560 1895040 1903500 1908576 1932875 1944000 1949184 1974000 1979264 1988100 1998675 2016000 2030400 2073600 2087505 2105600 2120640 2131920 2147148 2165760 2177280 2209000 2220750 2226672 2256000 2262016 2268000 2274048 2284200 2319450 2368800 2385720 2419200 2436480 2474080 2485125 2505006 2526720 2538000 2544768 2558304 2592000 2632000 2650800 2664900 2683935 2688000 2707200 2721600 2783340 2827520 2842560 2855250 2862864 2903040 2923776 2961000 2968896 2982150 3008000 3024000 3032064 3045600 3092600 3110400 3158400 3180960 3197880 3248640 3313500 3331125 3340008 3384000 3393024 3402000 3411072 3456000 3479175 3534400 3553200 3578580 3609600 3628800 3654720 3711120 3757509 3790080 3807000 3817152 3865750 3888000 3898368 3948000 3958528 3976200 3997350 4032000 4060800 4175010 4211200 4241280 4263840 4294296 4354560 4418000 4441500 4453344 4473225 4512000 4536000 4548096 4568400 4638900 4737600 4771440 4838400 4872960 4948160 4970250 5010012 5053440 5076000 5089536 5116608 5184000 5264000 5301600 5329800 5367870 5414400 5443200 5566680 5655040 5685120 5710500 5725728 5798625 5847552 5922000 5937792 5964300 6016000 6048000 6091200 6185200 6220800 6262515 6316800 6361920 6395760 6497280 6627000 6662250 6680016 6768000 6786048 6804000 6822144 6958350 7068800 7106400 7157160 7257600 7309440 7422240 7455375 7515018 7580160 7614000 7634304 7731500 7776000 7896000 7917056 7952400 7994700 8064000 8121600 8350020 8422400 8482560 8527680 8588592 8709120 8836000 8883000 8906688 8946450 9024000 9072000 9096192 9136800 9277800 9475200 9542880 9745920 9896320 9940500 9993375 10020024 10152000 10179072 10233216 10368000 10437525 10528000 10603200 10659600 10735740 10828800 10886400 11133360 11310080 11370240 11421000 11451456 11597250 11695104 11844000 11875584 11928600 12096000 12182400 12370400 12525030 12633600 12723840 12791520 13254000 13324500 13360032 13419675 13536000 13608000 13644288 13916700 14137600 14212800 14314320 14515200 14618880 14844480 14910750 15030036 15160320 15228000 15268608 15463000 15552000 15792000 15834112 15904800 15989400 16243200 16700040 16965120 17055360 17177184 17395875 17672000 17766000 17813376 17892900 18048000 18144000 18273600 18555600 18787545 18950400 19085760 19491840 19792640 19881000 19986750 20040048 20304000 20358144 20466432 20875050 21056000 21206400 21319200 21471480 21772800 22266720 22366125 22740480 22842000 22902912 23194500 23688000 23751168 23857200 24192000 24364800 24740800 25050060 25267200 25447680 25583040 26508000 26649000 26720064 26839350 27072000 27216000 27288576 27833400 28275200 28425600 28628640 29237760 29688960 29821500 30060072 30456000 30537216 30926000 31104000 31312575 31584000 31809600 31978800 32486400 33400080 33930240 34110720 34354368 34791750 35344000 35532000 35626752 35785800 36288000 36547200 37111200 37575090 37900800 38171520 39585280 39762000 39973500 40080096 40608000 40932864 41750100 42112000 42412800 42638400 42942960 43545600 44533440 44732250 45480960 45684000 45805824 46389000 47376000 47502336 47714400 48729600 49481600 50100120 50895360 51166080 52187625 53016000 53298000 53440128 53678700 54144000 54432000 55666800 56550400 56851200 57257280 58475520 59377920 59643000 60120144 60912000 61074432 61852000 62625150 63168000 63619200 63957600 66800160 67098375 68221440 68708736 69583500 70688000 71064000 71253504 71571600 72576000 73094400 74222400 75150180 75801600 76343040 79170560 79524000 79947000 80160192 81216000 81865728 83500200 84825600 85276800 85885920 89066880 89464500 91368000 91611648 92778000 93937725 94752000 95428800 97459200 98963200 100200240 101790720 102332160 104375250 106032000 106596000 106880256 107357400 108864000 111333600 113702400 114514560 118755840 119286000 120240288 121824000 123704000 125250300 126336000 127238400 127915200 133600320 134196750 136442880 137417472 139167000 141376000 142128000 142507008 143143200 146188800 148444800 150300360 152686080 156562875 159048000 159894000 160320384 162432000 167000400 169651200 170553600 171771840 178133760 178929000 182736000 183223296 185556000 187875450 189504000 190857600 197926400 200400480 204664320 208750500 212064000 213192000 213760512 214714800 217728000 222667200 227404800 229029120 237511680 238572000 240480576 243648000 247408000 250500600 254476800 255830400 267200640 268393500 274834944 278334000 282752000 284256000 286286400 292377600 296889600 300600720 305372160 313125750 318096000 319788000 320640768 334000800 341107200 343543680 356267520 357858000 365472000 371112000 375750900 379008000 381715200 395852800 400800960 409328640 417501000 424128000 426384000 427521024 429429600 445334400 458058240 469688625 477144000 480961152 487296000 494816000 501001200 508953600 511660800 534401280 536787000 549669888 556668000 568512000 572572800 593779200 601201440 626251500 636192000 639576000 641281536 668001600 682214400 687087360 712535040 715716000 730944000 742224000 751501800 763430400 801601920 835002000 848256000 852768000 858859200 890668800 916116480 939377250 954288000 961922304 989632000 1002002400 1023321600 1068802560 1073574000 1113336000 1137024000 1145145600 1187558400 1202402880 1252503000 1272384000 1279152000 1282563072 1336003200 1374174720 1431432000 1461888000 1484448000 1503003600 1526860800 1603203840 1670004000 1705536000 1717718400 1781337600 1878754500 1908576000 1923844608 1979264000 2004004800 2046643200 2137605120 2147148000 2226672000 2290291200 2404805760 2505006000 2544768000 2558304000 2672006400 2748349440 2862864000 2968896000 3006007200 3206407680 3340008000 3411072000 3435436800 3562675200 3757509000 3817152000 3847689216 4008009600 4294296000 4453344000 4580582400 4809611520 5010012000 5116608000 5344012800 5725728000 5937792000 6012014400 6412815360 6680016000 6870873600 7515018000 7634304000 8016019200 8588592000 8906688000 9619223040 10020024000 10233216000 10688025600 11451456000 12024028800 13360032000 13741747200 15030036000 16032038400 17177184000 17813376000 19238446080 20040048000 22902912000 24048057600 26720064000 30060072000 32064076800 34354368000 40080096000 48096115200 53440128000 60120144000 68708736000 80160192000 96192230400 120240288000 160320384000 240480576000 480961152000
• Sum of all divisors σ(n): 2098772527488
• Sum of proper divisors (its aliquot sum) s(n): 1617811375488
• 480961152000 is an abundant number, because the sum of its proper divisors (1617811375488) is greater than itself. Its abundance is 1136850223488

Bases of 480961152000

• Binary: 110111111111011100001001100010000000000₂
• Hexadecimal: 0x6FFB84C400
• Base-36: 64Y7UO00

Squares and roots of 480961152000

• 480961152000 squared (480961152000²) is 231323629733167104000000
• 480961152000 cubed (480961152000³) is 111257679441285502948343808000000000
• The square root of 480961152000 is 693513.6278401457
• The cube root of 480961152000 is 7834.9578852837

Scales and comparisons

• 480,961,152,000 seconds is equal to 15,293 years, 4 weeks.
• To count from 1 to 480,961,152,000 would take you about thirty thousand, five hundred eighty-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 480961152000 cubic inches would be around 652.9 feet tall.

Recreational maths with 480961152000

• 480961152000 backwards is 000251169084
• 480961152000 is a Harshad number.
• The number of decimal digits it has is: 12
• The sum of 480961152000's digits is 36
• More coming soon!