480825856000
480,825,856,000 is an even composite number composed of six prime numbers multiplied together.
What does the number 480825856000 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 832 divisors.
480825856000 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of eight hundred thirty-two divisors.
Prime factorization of 480825856000:
212 × 53 × 7 × 19 × 23 × 307
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 5 × 7 × 19 × 23 × 307)See below for interesting mathematical facts about the number 480825856000 from the Numbermatics database.
Names of 480825856000
- Cardinal: 480825856000 can be written as Four hundred eighty billion, eight hundred twenty-five million, eight hundred fifty-six thousand.
Scientific notation
- Scientific notation: 4.80825856 × 1011
Factors of 480825856000
Divisors of 480825856000
- Number of divisors d(n): 832
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Complete list of divisors:
1 2 4 5 7 8 10 14 16 19 20 23 25 28 32 35 38 40 46 50 56 64 70 76 80 92 95 100 112 115 125 128 133 140 152 160 161 175 184 190 200 224 230 250 256 266 280 304 307 320 322 350 368 380 400 437 448 460 475 500 512 532 560 575 608 614 640 644 665 700 736 760 800 805 874 875 896 920 950 1000 1024 1064 1120 1150 1216 1228 1280 1288 1330 1400 1472 1520 1535 1600 1610 1748 1750 1792 1840 1900 2000 2048 2128 2149 2185 2240 2300 2375 2432 2456 2560 2576 2660 2800 2875 2944 3040 3059 3070 3200 3220 3325 3496 3500 3584 3680 3800 4000 4025 4096 4256 4298 4370 4480 4600 4750 4864 4912 5120 5152 5320 5600 5750 5833 5888 6080 6118 6140 6400 6440 6650 6992 7000 7061 7168 7360 7600 7675 8000 8050 8512 8596 8740 8960 9200 9500 9728 9824 10240 10304 10640 10745 10925 11200 11500 11666 11776 12160 12236 12280 12800 12880 13300 13984 14000 14122 14336 14720 15200 15295 15350 16000 16100 16625 17024 17192 17480 17920 18400 19000 19456 19648 20125 20480 20608 21280 21490 21850 22400 23000 23332 23552 24320 24472 24560 25600 25760 26600 27968 28000 28244 28672 29165 29440 30400 30590 30700 32000 32200 33250 34048 34384 34960 35305 35840 36800 38000 38375 38912 39296 40250 40831 41216 42560 42980 43700 44800 46000 46664 47104 48640 48944 49120 49427 51200 51520 53200 53725 54625 55936 56000 56488 58330 58880 60800 61180 61400 64000 64400 66500 68096 68768 69920 70610 71680 73600 76000 76475 76750 77824 78592 80500 81662 82432 85120 85960 87400 89600 92000 93328 94208 97280 97888 98240 98854 102400 103040 106400 107450 109250 111872 112000 112976 116660 117760 121600 122360 122800 128000 128800 133000 134159 136192 137536 139840 141220 143360 145825 147200 152000 152950 153500 157184 161000 163324 164864 170240 171920 174800 176525 179200 184000 186656 194560 195776 196480 197708 204155 206080 212800 214900 218500 223744 224000 225952 233320 235520 243200 244720 245600 247135 256000 257600 266000 268318 268625 272384 275072 279680 282440 291650 294400 304000 305900 307000 314368 322000 326648 329728 340480 343840 349600 353050 358400 368000 373312 382375 389120 391552 392960 395416 408310 412160 425600 429800 437000 447488 448000 451904 466640 471040 486400 489440 491200 494270 512000 515200 532000 536636 537250 544768 550144 559360 564880 583300 588800 608000 611800 614000 628736 644000 653296 659456 670795 680960 687680 699200 706100 716800 729125 736000 746624 764750 783104 785920 790832 816620 824320 851200 859600 874000 882625 894976 896000 903808 933280 939113 972800 978880 982400 988540 1020775 1030400 1064000 1073272 1074500 1100288 1118720 1129760 1166600 1177600 1216000 1223600 1228000 1235675 1257472 1288000 1306592 1341590 1361920 1375360 1398400 1412200 1458250 1472000 1493248 1529500 1566208 1571840 1581664 1633240 1648640 1702400 1719200 1748000 1765250 1789952 1792000 1807616 1866560 1878226 1945600 1957760 1964800 1977080 2041550 2060800 2128000 2146544 2149000 2200576 2237440 2259520 2333200 2355200 2432000 2447200 2456000 2471350 2576000 2613184 2683180 2723840 2750720 2796800 2824400 2916500 2944000 2986496 3059000 3132416 3143680 3163328 3266480 3297280 3353975 3404800 3438400 3496000 3530500 3584000 3615232 3733120 3756452 3915520 3929600 3954160 4083100 4121600 4256000 4293088 4298000 4401152 4474880 4519040 4666400 4695565 4864000 4894400 4912000 4942700 5103875 5152000 5226368 5366360 5501440 5593600 5648800 5833000 5888000 5972992 6118000 6178375 6264832 6287360 6326656 6532960 6707950 6809600 6876800 6992000 7061000 7230464 7466240 7512904 7831040 7859200 7908320 8166200 8243200 8512000 8586176 8596000 8802304 8949760 9038080 9332800 9391130 9728000 9788800 9824000 9885400 10207750 10304000 10452736 10732720 11002880 11187200 11297600 11666000 11776000 11945984 12236000 12356750 12529664 12653312 13065920 13415900 13619200 13753600 13984000 14122000 14460928 14932480 15025808 15662080 15718400 15816640 16332400 16486400 16769875 17024000 17172352 17192000 18076160 18665600 18782260 19577600 19648000 19770800 20415500 20608000 20905472 21465440 22005760 22374400 22595200 23332000 23477825 23891968 24472000 24713500 25306624 26131840 26831800 27507200 27968000 28244000 28921856 29864960 30051616 31324160 31436800 31633280 32664800 33539750 34048000 34344704 34384000 36152320 37331200 37564520 39155200 39296000 39541600 40831000 41216000 41810944 42930880 44011520 44748800 45190400 46664000 46955650 48944000 49427000 50613248 52263680 53663600 55014400 55936000 56488000 59729920 60103232 62648320 63266560 65329600 67079500 68096000 68689408 68768000 72304640 74662400 75129040 78310400 78592000 79083200 81662000 82432000 83621888 85861760 90380800 93328000 93911300 97888000 98854000 101226496 104527360 107327200 110028800 111872000 112976000 117389125 119459840 120206464 126533120 130659200 134159000 137378816 137536000 144609280 149324800 150258080 156620800 157184000 158166400 163324000 167243776 171723520 180761600 186656000 187822600 195776000 197708000 202452992 209054720 214654400 220057600 223744000 225952000 234778250 240412928 253066240 261318400 268318000 274757632 275072000 298649600 300516160 313241600 316332800 326648000 343447040 361523200 373312000 375645200 391552000 395416000 418109440 429308800 451904000 469556500 480825856 506132480 522636800 536636000 549515264 550144000 597299200 601032320 632665600 653296000 686894080 723046400 746624000 751290400 783104000 790832000 836218880 858617600 903808000 939113000 961651712 1012264960 1045273600 1073272000 1100288000 1202064640 1265331200 1306592000 1373788160 1493248000 1502580800 1566208000 1581664000 1717235200 1807616000 1878226000 1923303424 2090547200 2146544000 2404129280 2530662400 2613184000 2747576320 2986496000 3005161600 3163328000 3434470400 3615232000 3756452000 3846606848 4181094400 4293088000 4808258560 5061324800 5226368000 6010323200 6326656000 6868940800 7512904000 8586176000 9616517120 10452736000 12020646400 12653312000 13737881600 15025808000 17172352000 19233034240 20905472000 24041292800 25306624000 30051616000 34344704000 48082585600 60103232000 68689408000 96165171200 120206464000 240412928000 480825856000
- Sum of all divisors σ(n): 1511274885120
- Sum of proper divisors (its aliquot sum) s(n): 1030449029120
- 480825856000 is an abundant number, because the sum of its proper divisors (1030449029120) is greater than itself. Its abundance is 549623173120
Bases of 480825856000
- Binary: 1101111111100110111010001010000000000002
- Hexadecimal: 0x6FF3745000
- Base-36: 64VZASXS
Squares and roots of 480825856000
- 480825856000 squared (4808258560002) is 231193503798132736000000
- 480825856000 cubed (4808258560003) is 111163814365376423988822016000000000
-
The
square root of 480825856000 is 693416.0771138783 -
The
cube root of 480825856000 is 7834.2231496607
Scales and comparisons
How big is 480825856000?- 480,825,856,000 seconds is equal to 15,288 years, 40 weeks, 2 days, 1 hour, 46 minutes, 40 seconds.
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To count from 1 to 480,825,856,000 would take you about thirty thousand, five hundred seventy-seven 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 480825856000 cubic inches would be around 652.9 feet tall.
Recreational maths with 480825856000
- 480825856000 backwards is 000658528084
- 480825856000 is a
Harshad number . - The number of decimal digits it has is: 12
- The sum of 480825856000's digits is 46
- More coming soon!
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The information we have on file for 480825856000 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!
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