468948480000
468,948,480,000 is an even composite number composed of seven prime numbers multiplied together.
468948480000 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of two thousand and eighty divisors.
Prime factorization of 468948480000:
212 × 3 × 54 × 7 × 11 × 13 × 61
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 5 × 5 × 7 × 11 × 13 × 61)See below for interesting mathematical facts about the number 468948480000 from the Numbermatics database.
Names of 468948480000
- Cardinal: 468948480000 can be written as Four hundred sixty-eight billion, nine hundred forty-eight million, four hundred eighty thousand.
Scientific notation
- Scientific notation: 4.6894848 × 1011
Factors of 468948480000
Divisors of 468948480000
- Number of divisors d(n): 2080
-
Complete list of divisors:
1 2 3 4 5 6 7 8 10 11 12 13 14 15 16 20 21 22 24 25 26 28 30 32 33 35 39 40 42 44 48 50 52 55 56 60 61 64 65 66 70 75 77 78 80 84 88 91 96 100 104 105 110 112 120 122 125 128 130 132 140 143 150 154 156 160 165 168 175 176 182 183 192 195 200 208 210 220 224 231 240 244 250 256 260 264 273 275 280 286 300 305 308 312 320 325 330 336 350 352 364 366 375 384 385 390 400 416 420 427 429 440 448 455 462 480 488 500 512 520 525 528 546 550 560 572 600 610 616 624 625 640 650 660 671 672 700 704 715 728 732 750 768 770 780 793 800 825 832 840 854 858 875 880 896 910 915 924 960 975 976 1000 1001 1024 1040 1050 1056 1092 1100 1120 1144 1155 1200 1220 1232 1248 1250 1280 1281 1300 1320 1342 1344 1365 1375 1400 1408 1430 1456 1464 1500 1525 1536 1540 1560 1586 1600 1625 1650 1664 1680 1708 1716 1750 1760 1792 1820 1830 1848 1875 1920 1925 1950 1952 2000 2002 2013 2048 2080 2100 2112 2135 2145 2184 2200 2240 2275 2288 2310 2379 2400 2440 2464 2496 2500 2560 2562 2600 2625 2640 2684 2688 2730 2750 2800 2816 2860 2912 2928 3000 3003 3050 3072 3080 3120 3172 3200 3250 3300 3328 3355 3360 3416 3432 3500 3520 3575 3584 3640 3660 3696 3750 3840 3850 3900 3904 3965 4000 4004 4026 4096 4125 4160 4200 4224 4270 4290 4368 4375 4400 4480 4550 4575 4576 4620 4697 4758 4800 4875 4880 4928 4992 5000 5005 5120 5124 5200 5250 5280 5368 5376 5460 5500 5551 5600 5632 5720 5775 5824 5856 6000 6006 6100 6144 6160 6240 6344 6400 6405 6500 6600 6656 6710 6720 6825 6832 6864 6875 7000 7040 7150 7168 7280 7320 7392 7500 7625 7680 7700 7800 7808 7930 8000 8008 8052 8125 8250 8320 8400 8448 8540 8580 8723 8736 8750 8800 8960 9100 9150 9152 9240 9394 9516 9600 9625 9750 9760 9856 9984 10000 10010 10065 10240 10248 10400 10500 10560 10675 10725 10736 10752 10920 11000 11102 11200 11264 11375 11440 11550 11648 11712 11895 12000 12012 12200 12288 12320 12480 12688 12800 12810 13000 13125 13200 13312 13420 13440 13650 13664 13728 13750 14000 14080 14091 14300 14336 14560 14640 14784 15000 15015 15250 15360 15400 15600 15616 15860 16000 16016 16104 16250 16500 16640 16653 16775 16800 16896 17080 17160 17446 17472 17500 17600 17875 17920 18200 18300 18304 18480 18788 19032 19200 19250 19500 19520 19712 19825 19968 20000 20020 20130 20480 20496 20625 20800 21000 21120 21350 21450 21472 21504 21840 22000 22204 22400 22528 22750 22875 22880 23100 23296 23424 23485 23790 24000 24024 24375 24400 24640 24960 25025 25376 25600 25620 26000 26169 26250 26400 26624 26840 26880 27300 27328 27456 27500 27755 28000 28160 28182 28600 28672 28875 29120 29280 29568 30000 30030 30500 30720 30800 31200 31232 31720 32000 32025 32032 32208 32500 33000 33280 33306 33550 33600 33792 34125 34160 34320 34892 34944 35000 35200 35750 35840 36400 36600 36608 36960 37576 38064 38125 38400 38500 39000 39040 39424 39650 39936 40000 40040 40260 40992 41250 41600 42000 42240 42700 42900 42944 43008 43615 43680 44000 44408 44800 45056 45500 45750 45760 46200 46592 46848 46970 47580 48000 48048 48125 48750 48800 49280 49920 50050 50325 50752 51200 51240 52000 52338 52500 52800 53248 53375 53625 53680 53760 54600 54656 54912 55000 55510 56000 56320 56364 56875 57200 57750 58240 58560 59136 59475 60000 60060 61000 61061 61440 61600 62400 62464 63440 64000 64050 64064 64416 65000 66000 66560 66612 67100 67200 67584 68250 68320 68640 69784 69888 70000 70400 70455 71500 71680 72800 73200 73216 73920 75075 75152 76128 76250 76800 77000 78000 78080 78848 79300 79872 80000 80080 80520 81984 82500 83200 83265 83875 84000 84480 85400 85800 85888 86016 87230 87360 88000 88816 89375 89600 91000 91500 91520 92400 93184 93696 93940 95160 96000 96096 96250 97500 97600 98560 99125 99840 100100 100650 101504 102400 102480 104000 104676 105000 105600 106750 107250 107360 107520 109200 109312 109824 110000 111020 112000 112640 112728 113750 114375 114400 115500 116480 117120 117425 118272 118950 120000 120120 122000 122122 123200 124800 124928 125125 126880 128000 128100 128128 128832 130000 130845 132000 133120 133224 134200 134400 135168 136500 136640 137280 138775 139568 139776 140000 140800 140910 143000 143360 144375 145600 146400 146432 147840 150150 150304 152256 152500 153600 154000 156000 156160 157696 158600 159744 160000 160125 160160 161040 163968 165000 166400 166530 167750 168000 168960 170625 170800 171600 171776 174460 174720 176000 177632 178750 179200 182000 183000 183040 183183 184800 186368 187392 187880 190320 192000 192192 192500 195000 195200 197120 198250 199680 200200 201300 203008 204960 208000 209352 210000 211200 213500 214500 214720 215040 218075 218400 218624 219648 220000 222040 224000 225280 225456 227500 228750 228800 231000 232960 234240 234850 236544 237900 240000 240240 244000 244244 246400 249600 249856 250250 251625 253760 256000 256200 256256 257664 260000 261690 264000 266240 266448 266875 268125 268400 268800 273000 273280 274560 277550 279136 279552 280000 281600 281820 286000 288750 291200 292800 292864 295680 297375 300300 300608 304512 305000 305305 307200 308000 312000 312320 315392 317200 320000 320250 320320 322080 327936 330000 332800 333060 335500 336000 337920 341250 341600 343200 343552 348920 349440 352000 352275 355264 357500 358400 364000 366000 366080 366366 369600 372736 374784 375375 375760 380640 384000 384384 385000 390000 390400 394240 396500 399360 400400 402600 406016 409920 416000 416325 418704 419375 420000 422400 427000 429000 429440 430080 436150 436800 437248 439296 440000 444080 448000 450912 455000 457500 457600 462000 465920 468480 469700 473088 475800 480000 480480 488000 488488 492800 495625 499200 500500 503250 507520 512000 512400 512512 515328 520000 523380 528000 532896 533750 536250 536800 537600 546000 546560 549120 555100 558272 559104 560000 563200 563640 572000 577500 582400 585600 585728 587125 591360 594750 600600 601216 609024 610000 610610 616000 624000 624640 625625 634400 640000 640500 640640 644160 654225 655872 660000 665600 666120 671000 672000 675840 682500 683200 686400 687104 693875 697840 698880 704000 704550 710528 715000 716800 728000 732000 732160 732732 739200 749568 750750 751520 761280 768000 768768 770000 780000 780800 788480 793000 798720 800625 800800 805200 812032 819840 832000 832650 837408 838750 840000 844800 854000 858000 858880 872300 873600 874496 878592 880000 888160 896000 901824 910000 915000 915200 915915 924000 931840 936960 939400 946176 951600 960000 960960 976000 976976 985600 991250 998400 1001000 1006500 1015040 1024800 1025024 1030656 1040000 1046760 1056000 1065792 1067500 1072500 1073600 1075200 1090375 1092000 1093120 1098240 1110200 1116544 1118208 1120000 1126400 1127280 1144000 1155000 1164800 1171200 1174250 1182720 1189500 1201200 1202432 1218048 1220000 1221220 1232000 1248000 1249280 1251250 1258125 1268800 1280000 1281000 1281280 1288320 1308450 1311744 1320000 1331200 1332240 1342000 1344000 1365000 1366400 1372800 1374208 1387750 1395680 1397760 1408000 1409100 1421056 1430000 1456000 1464000 1464320 1465464 1478400 1486875 1501500 1503040 1522560 1526525 1536000 1537536 1540000 1560000 1561600 1576960 1586000 1601250 1601600 1610400 1624064 1639680 1664000 1665300 1674816 1677500 1680000 1689600 1708000 1716000 1717760 1744600 1747200 1748992 1757184 1760000 1761375 1776320 1792000 1803648 1820000 1830000 1830400 1831830 1848000 1863680 1873920 1876875 1878800 1903200 1920000 1921920 1952000 1953952 1971200 1982500 1996800 2002000 2013000 2030080 2049600 2050048 2061312 2080000 2081625 2093520 2112000 2131584 2135000 2145000 2147200 2150400 2180750 2184000 2186240 2196480 2220400 2233088 2240000 2254560 2288000 2310000 2329600 2342400 2348500 2365440 2379000 2402400 2404864 2436096 2440000 2442440 2464000 2496000 2502500 2516250 2537600 2560000 2562000 2562560 2576640 2616900 2623488 2640000 2664480 2684000 2688000 2730000 2732800 2745600 2748416 2775500 2791360 2795520 2816000 2818200 2842112 2860000 2912000 2928000 2928640 2930928 2935625 2956800 2973750 3003000 3006080 3045120 3053050 3075072 3080000 3120000 3123200 3172000 3202500 3203200 3220800 3248128 3271125 3279360 3328000 3330600 3349632 3355000 3360000 3379200 3416000 3432000 3435520 3469375 3489200 3494400 3520000 3522750 3552640 3584000 3607296 3640000 3660000 3660800 3663660 3696000 3747840 3753750 3757600 3806400 3840000 3843840 3904000 3907904 3942400 3965000 3993600 4004000 4026000 4060160 4099200 4100096 4122624 4160000 4163250 4187040 4224000 4263168 4270000 4290000 4294400 4361500 4368000 4372480 4392960 4440800 4466176 4480000 4509120 4576000 4579575 4620000 4659200 4684800 4697000 4730880 4758000 4804800 4809728 4872192 4880000 4884880 4928000 4992000 5005000 5032500 5075200 5124000 5125120 5153280 5233800 5246976 5280000 5328960 5368000 5376000 5451875 5460000 5465600 5491200 5551000 5582720 5591040 5632000 5636400 5684224 5720000 5824000 5856000 5861856 5871250 5913600 5947500 6006000 6012160 6090240 6106100 6150144 6160000 6240000 6246400 6344000 6405000 6406400 6441600 6542250 6558720 6656000 6661200 6699264 6710000 6720000 6832000 6864000 6871040 6938750 6978400 6988800 7040000 7045500 7105280 7214592 7280000 7320000 7321600 7327320 7392000 7507500 7515200 7612800 7632625 7680000 7687680 7808000 7815808 7884800 7930000 8008000 8052000 8120320 8198400 8245248 8320000 8326500 8374080 8448000 8526336 8540000 8580000 8588800 8723000 8736000 8744960 8785920 8806875 8881600 8932352 8960000 9018240 9152000 9159150 9240000 9318400 9369600 9394000 9516000 9609600 9619456 9744384 9760000 9769760 9856000 9984000 10010000 10065000 10150400 10248000 10250240 10306560 10408125 10467600 10560000 10657920 10736000 10752000 10903750 10920000 10931200 10982400 11102000 11165440 11272800 11368448 11440000 11648000 11712000 11723712 11742500 11827200 11895000 12012000 12024320 12180480 12212200 12300288 12320000 12480000 12688000 12810000 12812800 12883200 13084500 13117440 13322400 13398528 13420000 13440000 13664000 13728000 13742080 13877500 13956800 13977600 14080000 14091000 14210560 14429184 14560000 14640000 14643200 14654640 14784000 15015000 15030400 15225600 15265250 15375360 15616000 15631616 15860000 16016000 16104000 16240640 16355625 16396800 16640000 16653000 16748160 16896000 17052672 17080000 17160000 17177600 17446000 17472000 17613750 17763200 17864704 17920000 18036480 18304000 18318300 18480000 18739200 18788000 19032000 19219200 19238912 19520000 19539520 19712000 19968000 20020000 20130000 20300800 20496000 20500480 20613120 20816250 20935200 21120000 21315840 21472000 21807500 21840000 21862400 21964800 22204000 22330880 22545600 22736896 22880000 22897875 23296000 23424000 23447424 23485000 23654400 23790000 24024000 24048640 24360960 24424400 24640000 24960000 25376000 25620000 25625600 25766400 26169000 26234880 26644800 26797056 26840000 26880000 27328000 27456000 27755000 27913600 27955200 28160000 28182000 28421120 28858368 29120000 29280000 29309280 29568000 30030000 30060800 30451200 30530500 30750720 31232000 31263232 31720000 32032000 32208000 32711250 32793600 33280000 33306000 33496320 34105344 34160000 34320000 34355200 34892000 34944000 35227500 35526400 35729408 36072960 36608000 36636600 36960000 37576000 38064000 38163125 38438400 39040000 39079040 39424000 40040000 40260000 40601600 40992000 41226240 41632500 41870400 42240000 42631680 42944000 43615000 43680000 43724800 43929600 44408000 44661760 45091200 45760000 45795750 46592000 46848000 46894848 46970000 47580000 48048000 48097280 48721920 48848800 49280000 49920000 50752000 51240000 51251200 51532800 52338000 53289600 53594112 53680000 53760000 54656000 54912000 55510000 55827200 56364000 56842240 57716736 58240000 58560000 58618560 59136000 60060000 60121600 60902400 61061000 61501440 62526464 63440000 64064000 64416000 65422500 65587200 66612000 66992640 68210688 68320000 68640000 68710400 69784000 69888000 70455000 71052800 72145920 73216000 73273200 73920000 75152000 76128000 76326250 76876800 78080000 78158080 80080000 80520000 81203200 81984000 83265000 83740800 84480000 85263360 85888000 87230000 87360000 88816000 89323520 90182400 91520000 91591500 93696000 93789696 93940000 95160000 96096000 96194560 97697600 98560000 99840000 101504000 102480000 102502400 103065600 104676000 106579200 107188224 107360000 109312000 109824000 111020000 111654400 112728000 113684480 114489375 116480000 117120000 117237120 118272000 120120000 120243200 121804800 122122000 125052928 126880000 128128000 128832000 130845000 131174400 133224000 133985280 136640000 137280000 139568000 139776000 140910000 142105600 144291840 146546400 147840000 150304000 152256000 152652500 153753600 156160000 156316160 160160000 161040000 163968000 166530000 167481600 170526720 171776000 174460000 174720000 177632000 178647040 180364800 183040000 183183000 187579392 187880000 190320000 192192000 195395200 197120000 203008000 204960000 206131200 209352000 213158400 214720000 218624000 219648000 222040000 223308800 225456000 228978750 232960000 234240000 234474240 240240000 240486400 243609600 244244000 250105856 253760000 256256000 257664000 261690000 266448000 267970560 273280000 274560000 279136000 281820000 284211200 288583680 293092800 295680000 300608000 304512000 305305000 307507200 312632320 320320000 322080000 327936000 333060000 334963200 341053440 343552000 348920000 349440000 355264000 360729600 366080000 366366000 375158784 375760000 380640000 384384000 390790400 406016000 409920000 418704000 426316800 429440000 444080000 446617600 450912000 457957500 468480000 468948480 480480000 480972800 488488000 507520000 512512000 515328000 523380000 532896000 535941120 546560000 549120000 558272000 563640000 568422400 586185600 591360000 601216000 609024000 610610000 625264640 640640000 644160000 655872000 666120000 669926400 697840000 698880000 710528000 721459200 732732000 750317568 751520000 761280000 768768000 781580800 819840000 837408000 852633600 858880000 888160000 893235200 901824000 915915000 937896960 960960000 976976000 1015040000 1030656000 1046760000 1065792000 1093120000 1098240000 1116544000 1127280000 1172371200 1202432000 1218048000 1221220000 1250529280 1281280000 1288320000 1332240000 1339852800 1395680000 1421056000 1442918400 1465464000 1503040000 1522560000 1537536000 1563161600 1639680000 1674816000 1705267200 1717760000 1776320000 1803648000 1831830000 1875793920 1921920000 1953952000 2030080000 2093520000 2131584000 2233088000 2254560000 2344742400 2404864000 2442440000 2562560000 2576640000 2664480000 2679705600 2791360000 2842112000 2930928000 3006080000 3045120000 3126323200 3279360000 3349632000 3552640000 3607296000 3663660000 3751587840 3843840000 3907904000 4187040000 4263168000 4466176000 4509120000 4689484800 4884880000 5153280000 5328960000 5582720000 5861856000 6012160000 6090240000 6252646400 6699264000 7105280000 7214592000 7327320000 7687680000 7815808000 8374080000 8526336000 9018240000 9378969600 9769760000 10657920000 11165440000 11723712000 12024320000 13398528000 14210560000 14654640000 15631616000 16748160000 18036480000 18757939200 19539520000 21315840000 22330880000 23447424000 29309280000 31263232000 33496320000 36072960000 39079040000 42631680000 46894848000 58618560000 66992640000 78158080000 93789696000 117237120000 156316160000 234474240000 468948480000
- Sum of all divisors σ(n): 2132253860352
- Sum of proper divisors (its aliquot sum) s(n): 1663305380352
- 468948480000 is an abundant number, because the sum of its proper divisors (1663305380352) is greater than itself. Its abundance is 1194356900352
Bases of 468948480000
- Binary: 1101101001011111000000111110000000000002
- Hexadecimal: 0x6D2F81F000
- Base-36: 5ZFJTEYO
Squares and roots of 468948480000
- 468948480000 squared (4689484800002) is 219912676894310400000000
- 468948480000 cubed (4689484800003) is 103127715562317982728192000000000000
-
The
square root of 468948480000 is 684798.1308385705 -
The
cube root of 468948480000 is 7769.1775075213
Scales and comparisons
How big is 468948480000?- 468,948,480,000 seconds is equal to 14,911 years, 5 weeks, 5 days, 10 hours, 40 minutes.
-
To count from 1 to 468,948,480,000 would take you about twenty-nine thousand, eight hundred twenty-two 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 468948480000 cubic inches would be around 647.4 feet tall.
Recreational maths with 468948480000
- 468948480000 backwards is 000084849864
- The number of decimal digits it has is: 12
- The sum of 468948480000's digits is 51
- More coming soon!
Link to this page
HTML: To link to this page, just copy and paste the link below into your blog, web page or email.
BBCODE: To link to this page in a forum post or comment box, just copy and paste the link code below:
Cite this page
MLA style:
"Number 468948480000 - Facts about the integer". Numbermatics.com. 2024. Web. 28 April 2024.
APA style:
Numbermatics. (2024). Number 468948480000 - Facts about the integer. Retrieved 28 April 2024, from https://numbermatics.com/n/468948480000/
Chicago style:
Numbermatics. 2024. "Number 468948480000 - Facts about the integer". https://numbermatics.com/n/468948480000/
The information we have on file for 468948480000 includes mathematical data and numerical statistics calculated using standard algorithms and methods. We are adding more all the time. If there are any features you would like to see, please contact us. Information provided for educational use, intellectual curiosity and fun!
Keywords: Divisors of 468948480000, math, Factors of 468948480000, curriculum, school, college, exams, university, Prime factorization of 468948480000, STEM, science, technology, engineering, physics, economics, calculator, four hundred sixty-eight billion, nine hundred forty-eight million, four hundred eighty thousand.