480764928000
480,764,928,000 is an even composite number composed of six prime numbers multiplied together.
480764928000 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of eight hundred ninety-six divisors.
Prime factorization of 480764928000:
213 × 3 × 53 × 7 × 79 × 283
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 5 × 7 × 79 × 283)See below for interesting mathematical facts about the number 480764928000 from the Numbermatics database.
Names of 480764928000
- Cardinal: 480764928000 can be written as Four hundred eighty billion, seven hundred sixty-four million, nine hundred twenty-eight thousand.
Scientific notation
- Scientific notation: 4.80764928 × 1011
Factors of 480764928000
Divisors of 480764928000
- Number of divisors d(n): 896
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Complete list of divisors:
1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 25 28 30 32 35 40 42 48 50 56 60 64 70 75 79 80 84 96 100 105 112 120 125 128 140 150 158 160 168 175 192 200 210 224 237 240 250 256 280 283 300 316 320 336 350 375 384 395 400 420 448 474 480 500 512 525 553 560 566 600 632 640 672 700 750 768 790 800 840 849 875 896 948 960 1000 1024 1050 1106 1120 1132 1185 1200 1264 1280 1344 1400 1415 1500 1536 1580 1600 1659 1680 1698 1750 1792 1896 1920 1975 1981 2000 2048 2100 2212 2240 2264 2370 2400 2528 2560 2625 2688 2765 2800 2830 3000 3072 3160 3200 3318 3360 3396 3500 3584 3792 3840 3950 3962 4000 4096 4200 4245 4424 4480 4528 4740 4800 5056 5120 5250 5376 5530 5600 5660 5925 5943 6000 6144 6320 6400 6636 6720 6792 7000 7075 7168 7584 7680 7900 7924 8000 8192 8295 8400 8490 8848 8960 9056 9480 9600 9875 9905 10112 10240 10500 10752 11060 11200 11320 11850 11886 12000 12288 12640 12800 13272 13440 13584 13825 14000 14150 14336 15168 15360 15800 15848 16000 16590 16800 16980 17696 17920 18112 18960 19200 19750 19810 20224 20480 21000 21225 21504 22120 22357 22400 22640 23700 23772 24000 24576 25280 25600 26544 26880 27168 27650 28000 28300 28672 29625 29715 30336 30720 31600 31696 32000 33180 33600 33960 35375 35392 35840 36224 37920 38400 39500 39620 40448 40960 41475 42000 42450 43008 44240 44714 44800 45280 47400 47544 48000 49525 50560 51200 53088 53760 54336 55300 56000 56600 57344 59250 59430 60672 61440 63200 63392 64000 66360 67071 67200 67920 69125 70750 70784 71680 72448 75840 76800 79000 79240 80896 82950 84000 84900 86016 88480 89428 89600 90560 94800 95088 96000 99050 101120 102400 106125 106176 107520 108672 110600 111785 112000 113200 118500 118860 121344 122880 126400 126784 128000 132720 134142 134400 135840 138250 141500 141568 143360 144896 148575 151680 153600 156499 158000 158480 161792 165900 168000 169800 172032 176960 178856 179200 181120 189600 190176 192000 198100 202240 204800 207375 212250 212352 215040 217344 221200 223570 224000 226400 237000 237720 242688 247625 252800 253568 256000 265440 268284 268800 271680 276500 283000 283136 286720 289792 297150 303360 307200 312998 316000 316960 323584 331800 335355 336000 339600 353920 357712 358400 362240 379200 380352 384000 396200 404480 414750 424500 424704 430080 434688 442400 447140 448000 452800 469497 474000 475440 485376 495250 505600 507136 512000 530880 536568 537600 543360 553000 558925 566000 566272 579584 594300 606720 614400 625996 632000 633920 647168 663600 670710 672000 679200 707840 715424 716800 724480 742875 758400 760704 768000 782495 792400 808960 829500 849000 849408 860160 869376 884800 894280 896000 905600 938994 948000 950880 970752 990500 1011200 1014272 1024000 1061760 1073136 1075200 1086720 1106000 1117850 1132000 1132544 1159168 1188600 1213440 1251992 1264000 1267840 1327200 1341420 1344000 1358400 1415680 1430848 1433600 1448960 1485750 1516800 1521408 1536000 1564990 1584800 1617920 1659000 1676775 1698000 1698816 1738752 1769600 1788560 1792000 1811200 1877988 1896000 1901760 1941504 1981000 2022400 2028544 2123520 2146272 2150400 2173440 2212000 2235700 2264000 2265088 2318336 2347485 2377200 2426880 2503984 2528000 2535680 2654400 2682840 2688000 2716800 2794625 2831360 2861696 2897920 2971500 3033600 3042816 3072000 3129980 3169600 3235840 3318000 3353550 3396000 3397632 3477504 3539200 3577120 3584000 3622400 3755976 3792000 3803520 3912475 3962000 4044800 4057088 4247040 4292544 4300800 4346880 4424000 4471400 4528000 4530176 4694970 4754400 4853760 5007968 5056000 5071360 5308800 5365680 5376000 5433600 5589250 5662720 5723392 5795840 5943000 6067200 6085632 6259960 6339200 6636000 6707100 6792000 6795264 6955008 7078400 7154240 7168000 7244800 7511952 7584000 7607040 7824950 7924000 8089600 8114176 8383875 8494080 8585088 8693760 8848000 8942800 9056000 9389940 9508800 9707520 10015936 10112000 10142720 10617600 10731360 10752000 10867200 11178500 11325440 11446784 11591680 11737425 11886000 12134400 12171264 12519920 12678400 13272000 13414200 13584000 13590528 14156800 14308480 14489600 15023904 15168000 15214080 15649900 15848000 16179200 16228352 16767750 16988160 17170176 17387520 17696000 17885600 18112000 18779880 19017600 19562375 20031872 20224000 20285440 21235200 21462720 21504000 21734400 22357000 22650880 22893568 23474850 23772000 24268800 24342528 25039840 25356800 26544000 26828400 27168000 28313600 28616960 28979200 30047808 30336000 30428160 31299800 31696000 33535500 33976320 34340352 34775040 35392000 35771200 36224000 37559760 38035200 39124750 40063744 40448000 40570880 42470400 42925440 43468800 44714000 45787136 46949700 47544000 48537600 48685056 50079680 50713600 53088000 53656800 54336000 56627200 57233920 57958400 58687125 60095616 60672000 60856320 62599600 63392000 67071000 67952640 68680704 70784000 71542400 72448000 75119520 76070400 78249500 80127488 80896000 81141760 84940800 85850880 86937600 89428000 91574272 93899400 95088000 100159360 101427200 106176000 107313600 108672000 113254400 114467840 117374250 120191232 121344000 121712640 125199200 126784000 134142000 137361408 141568000 143084800 144896000 150239040 152140800 156499000 160254976 169881600 171701760 173875200 178856000 183148544 187798800 190176000 200318720 202854400 212352000 214627200 217344000 228935680 234748500 240382464 242688000 243425280 250398400 253568000 268284000 274722816 283136000 286169600 289792000 300478080 304281600 312998000 320509952 339763200 343403520 357712000 375597600 380352000 400637440 405708800 424704000 429254400 434688000 457871360 469497000 480764928 500796800 507136000 536568000 549445632 566272000 572339200 600956160 608563200 625996000 641019904 686807040 715424000 751195200 760704000 801274880 849408000 858508800 869376000 915742720 938994000 961529856 1001593600 1014272000 1073136000 1144678400 1201912320 1217126400 1251992000 1282039808 1373614080 1430848000 1502390400 1521408000 1602549760 1698816000 1717017600 1877988000 1923059712 2003187200 2028544000 2146272000 2289356800 2403824640 2503984000 2747228160 2861696000 3004780800 3042816000 3205099520 3434035200 3755976000 3846119424 4006374400 4292544000 4578713600 4807649280 5007968000 5723392000 6009561600 6085632000 6410199040 6868070400 7511952000 8012748800 8585088000 9615298560 10015936000 11446784000 12019123200 13736140800 15023904000 16025497600 17170176000 19230597120 20031872000 22893568000 24038246400 30047808000 32050995200 34340352000 40063744000 48076492800 60095616000 68680704000 80127488000 96152985600 120191232000 160254976000 240382464000 480764928000
- Sum of all divisors σ(n): 1858131025920
- Sum of proper divisors (its aliquot sum) s(n): 1377366097920
- 480764928000 is an abundant number, because the sum of its proper divisors (1377366097920) is greater than itself. Its abundance is 896601169920
Bases of 480764928000
- Binary: 1101111111011111101001010100000000000002
- Hexadecimal: 0x6FEFD2A000
- Base-36: 64UZ0WLC
Squares and roots of 480764928000
- 480764928000 squared (4807649280002) is 231134915994845184000000
- 480764928000 cubed (4807649280003) is 111121561246547793256906752000000000
-
The
square root of 480764928000 is 693372.1425035765 -
The
cube root of 480764928000 is 7833.8922303303
Scales and comparisons
How big is 480764928000?- 480,764,928,000 seconds is equal to 15,286 years, 43 weeks, 3 days, 21 hours, 20 minutes.
-
To count from 1 to 480,764,928,000 would take you about thirty thousand, five hundred seventy-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 480764928000 cubic inches would be around 652.8 feet tall.
Recreational maths with 480764928000
- 480764928000 backwards is 000829467084
- 480764928000 is a
Harshad number . - The number of decimal digits it has is: 12
- The sum of 480764928000's digits is 48
- More coming soon!
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