480971264000
480,971,264,000 is an even composite number composed of four prime numbers multiplied together.
480971264000 is an even composite number. It is composed of four distinct prime numbers multiplied together. It has a total of three hundred twelve divisors.
Prime factorization of 480971264000:
212 × 53 × 292 × 1117
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 5 × 29 × 29 × 1117)See below for interesting mathematical facts about the number 480971264000 from the Numbermatics database.
Names of 480971264000
- Cardinal: 480971264000 can be written as Four hundred eighty billion, nine hundred seventy-one million, two hundred sixty-four thousand.
Scientific notation
- Scientific notation: 4.80971264 × 1011
Factors of 480971264000
Divisors of 480971264000
- Number of divisors d(n): 312
-
Complete list of divisors:
1 2 4 5 8 10 16 20 25 29 32 40 50 58 64 80 100 116 125 128 145 160 200 232 250 256 290 320 400 464 500 512 580 640 725 800 841 928 1000 1024 1117 1160 1280 1450 1600 1682 1856 2000 2048 2234 2320 2560 2900 3200 3364 3625 3712 4000 4096 4205 4468 4640 5120 5585 5800 6400 6728 7250 7424 8000 8410 8936 9280 10240 11170 11600 12800 13456 14500 14848 16000 16820 17872 18560 20480 21025 22340 23200 25600 26912 27925 29000 29696 32000 32393 33640 35744 37120 42050 44680 46400 51200 53824 55850 58000 59392 64000 64786 67280 71488 74240 84100 89360 92800 102400 105125 107648 111700 116000 118784 128000 129572 134560 139625 142976 148480 161965 168200 178720 185600 210250 215296 223400 232000 256000 259144 269120 279250 285952 296960 323930 336400 357440 371200 420500 430592 446800 464000 512000 518288 538240 558500 571904 593920 647860 672800 714880 742400 809825 841000 861184 893600 928000 939397 1036576 1076480 1117000 1143808 1295720 1345600 1429760 1484800 1619650 1682000 1722368 1787200 1856000 1878794 2073152 2152960 2234000 2287616 2591440 2691200 2859520 2969600 3239300 3364000 3444736 3574400 3712000 3757588 4049125 4146304 4305920 4468000 4575232 4696985 5182880 5382400 5719040 6478600 6728000 7148800 7424000 7515176 8098250 8292608 8611840 8936000 9393970 10365760 10764800 11438080 12957200 13456000 14297600 14848000 15030352 16196500 16585216 17223680 17872000 18787940 20731520 21529600 22876160 23484925 25914400 26912000 28595200 30060704 32393000 33170432 35744000 37575880 41463040 43059200 46969850 51828800 53824000 57190400 60121408 64786000 66340864 71488000 75151760 82926080 86118400 93939700 103657600 107648000 114380800 117424625 120242816 129572000 132681728 142976000 150303520 165852160 187879400 207315200 215296000 234849250 240485632 259144000 285952000 300607040 331704320 375758800 414630400 430592000 469698500 480971264 518288000 571904000 601214080 663408640 751517600 829260800 939397000 961942528 1036576000 1202428160 1503035200 1658521600 1878794000 1923885056 2073152000 2404856320 3006070400 3317043200 3757588000 3847770112 4146304000 4809712640 6012140800 7515176000 8292608000 9619425280 12024281600 15030352000 16585216000 19238850560 24048563200 30060704000 48097126400 60121408000 96194252800 120242816000 240485632000 480971264000
- Sum of all divisors σ(n): 1244289633288
- Sum of proper divisors (its aliquot sum) s(n): 763318369288
- 480971264000 is an abundant number, because the sum of its proper divisors (763318369288) is greater than itself. Its abundance is 282347105288
Bases of 480971264000
- Binary: 1101111111111000001111100010000000000002
- Hexadecimal: 0x6FFC1F1000
- Base-36: 64YDVEGW
Squares and roots of 480971264000
- 480971264000 squared (4809712640002) is 231333356793757696000000
- 480971264000 cubed (4809712640003) is 111264697022456626354847744000000000
-
The
square root of 480971264000 is 693520.9182137191 -
The
cube root of 480971264000 is 7835.0127937647
Scales and comparisons
How big is 480971264000?- 480,971,264,000 seconds is equal to 15,293 years, 20 weeks, 5 days, 53 minutes, 20 seconds.
-
To count from 1 to 480,971,264,000 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 480971264000 cubic inches would be around 652.9 feet tall.
Recreational maths with 480971264000
- 480971264000 backwards is 000462179084
- The number of decimal digits it has is: 12
- The sum of 480971264000's digits is 41
- More coming soon!
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