480913312256000
480,913,312,256,000 is an even composite number composed of seven prime numbers multiplied together.
What does the number 480913312256000 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 2496 divisors.
480913312256000 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of two thousand, four hundred ninety-six divisors.
Prime factorization of 480913312256000:
212 × 53 × 13 × 172 × 29 × 37 × 233
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 5 × 13 × 17 × 17 × 29 × 37 × 233)See below for interesting mathematical facts about the number 480913312256000 from the Numbermatics database.
Names of 480913312256000
- Cardinal: 480913312256000 can be written as Four hundred eighty trillion, nine hundred thirteen billion, three hundred twelve million, two hundred fifty-six thousand.
Scientific notation
- Scientific notation: 4.80913312256 × 1014
Factors of 480913312256000
Divisors of 480913312256000
- Number of divisors d(n): 2496
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Complete list of divisors:
1 2 4 5 8 10 13 16 17 20 25 26 29 32 34 37 40 50 52 58 64 65 68 74 80 85 100 104 116 125 128 130 136 145 148 160 170 185 200 208 221 232 233 250 256 260 272 289 290 296 320 325 340 370 377 400 416 425 442 464 466 481 493 500 512 520 544 578 580 592 629 640 650 680 725 740 754 800 832 850 884 925 928 932 962 986 1000 1024 1040 1073 1088 1105 1156 1160 1165 1184 1258 1280 1300 1360 1445 1450 1480 1508 1600 1625 1664 1700 1768 1850 1856 1864 1885 1924 1972 2000 2048 2080 2125 2146 2176 2210 2312 2320 2330 2368 2405 2465 2516 2560 2600 2720 2890 2900 2960 3016 3029 3145 3200 3250 3328 3400 3536 3625 3700 3712 3728 3757 3770 3848 3944 3961 4000 4096 4160 4250 4292 4352 4420 4624 4625 4640 4660 4736 4810 4930 5032 5120 5200 5365 5440 5525 5780 5800 5825 5920 6032 6058 6290 6400 6409 6500 6656 6757 6800 7072 7225 7250 7400 7424 7456 7514 7540 7696 7888 7922 8000 8177 8320 8381 8500 8584 8621 8704 8840 9248 9250 9280 9320 9425 9472 9620 9860 10064 10240 10400 10693 10730 10880 11050 11560 11600 11650 11840 12025 12064 12116 12325 12580 12800 12818 13000 13312 13514 13600 13949 14144 14450 14500 14800 14848 14912 15028 15080 15145 15392 15725 15776 15844 16000 16354 16640 16762 17000 17168 17242 17408 17680 18241 18496 18500 18560 18640 18785 18850 18944 19240 19720 19805 20128 20480 20800 21386 21460 21760 22100 23120 23200 23300 23680 24050 24128 24232 24650 25160 25600 25636 26000 26624 26825 27028 27200 27625 27898 28288 28900 29000 29125 29600 29696 29824 30056 30160 30290 30784 31450 31552 31688 32000 32045 32708 33280 33524 33785 34000 34336 34484 34816 35360 36125 36482 36992 37000 37120 37280 37570 37700 37888 38480 39440 39610 40256 40885 41600 41905 42772 42920 43105 43520 44200 46240 46400 46600 47125 47360 48100 48256 48464 49300 50320 51200 51272 51493 52000 53248 53465 53650 54056 54400 55250 55796 56576 57800 58000 58250 59200 59392 59648 60112 60125 60320 60580 61568 61625 62900 63104 63376 64000 64090 65416 66560 67048 67337 67570 68000 68672 68968 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113156073472 115604161600 117410476625 120228328064 121412096000 121935424000 124977472000 127563212800 128004608000 129000352000 129556388000 129976570880 132665741312 136004896000 141445091840 144505202000 147973326848 150285410080 152913612800 158769664000 159454016000 162470713600 165832176640 166405990400 176806364800 184966658560 187856762600 191142016000 195096678400 199963955200 203088392000 206400563200 207290220800 208007488000 217607833600 221007956000 224097536000 226312146944 231208323200 234820953250 240456656128 243870848000 249954944000 255126425600 258000704000 259112776000 259953141760 272009792000 282890183680 289010404000 295946653696 300570820160 318908032000 324941427200 331664353280 332811980800 353612729600 369933317120 375713525200 382284032000 406176784000 412801126400 414580441600 416014976000 435215667200 442015912000 448195072000 462416646400 469641906500 480913312256 487741696000 499909888000 516001408000 518225552000 519906283520 544019584000 565780367360 578020808000 601141640320 637816064000 649882854400 663328706560 707225459200 739866634240 751427050400 764568064000 812353568000 829160883200 832029952000 884031824000 924833292800 939283813000 961826624512 975483392000 999819776000 1032002816000 1036451104000 1088039168000 1131560734720 1156041616000 1202283280640 1275632128000 1299765708800 1414450918400 1479733268480 1502854100800 1624707136000 1658321766400 1664059904000 1768063648000 1849666585600 1878567626000 1923653249024 2064005632000 2072902208000 2176078336000 2312083232000 2404566561280 2599531417600 2828901836800 3005708201600 3249414272000 3316643532800 3536127296000 3699333171200 3757135252000 3847306498048 4145804416000 4624166464000 4809133122560 5657803673600 6011416403200 6498828544000 7072254592000 7398666342400 7514270504000 8291608832000 9248332928000 9618266245120 12022832806400 12997657088000 14144509184000 15028541008000 16583217664000 18496665856000 19236532490240 24045665612800 28289018368000 30057082016000 36993331712000 48091331225600 60114164032000 96182662451200 120228328064000 240456656128000 480913312256000
- Sum of all divisors σ(n): 1465037172406080
- Sum of proper divisors (its aliquot sum) s(n): 984123860150080
- 480913312256000 is an abundant number, because the sum of its proper divisors (984123860150080) is greater than itself. Its abundance is 503210547894080
Bases of 480913312256000
- Binary: 11011010101100011010110110010010100010000000000002
- Hexadecimal: 0x1B5635B251000
- Base-36: 4QGWIXAXA8
Squares and roots of 480913312256000
- 480913312256000 squared (4809133122560002) is 231277613905036959809536000000
- 480913312256000 cubed (4809133122560003) is 111224483353735646984104308654473216000000000
-
The
square root of 480913312256000 is 21929735.7999589225 -
The
cube root of 480913312256000 is 78346.9810352097
Scales and comparisons
How big is 480913312256000?- 480,913,312,256,000 seconds is equal to 15,291,555 years, 39 weeks, 6 days, 6 hours, 13 minutes, 20 seconds.
-
To count from 1 to 480,913,312,256,000 would take you about thirty-eight million, two hundred twenty-eight thousand, eight hundred eighty-nine 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 480913312256000 cubic inches would be around 6528.9 feet tall.
Recreational maths with 480913312256000
- 480913312256000 backwards is 000652213319084
- The number of decimal digits it has is: 15
- The sum of 480913312256000's digits is 44
- More coming soon!
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The information we have on file for 480913312256000 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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