46480711680000
46,480,711,680,000 is an even composite number composed of six prime numbers multiplied together.
What does the number 46480711680000 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 2720 divisors.
46480711680000 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of two thousand, seven hundred twenty divisors.
Prime factorization of 46480711680000:
216 × 33 × 54 × 13 × 53 × 61
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 5 × 5 × 5 × 5 × 13 × 53 × 61)See below for interesting mathematical facts about the number 46480711680000 from the Numbermatics database.
Names of 46480711680000
- Cardinal: 46480711680000 can be written as Forty-six trillion, four hundred eighty billion, seven hundred eleven million, six hundred eighty thousand.
Scientific notation
- Scientific notation: 4.648071168 × 1013
Factors of 46480711680000
Divisors of 46480711680000
- Number of divisors d(n): 2720
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Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 13 15 16 18 20 24 25 26 27 30 32 36 39 40 45 48 50 52 53 54 60 61 64 65 72 75 78 80 90 96 100 104 106 108 117 120 122 125 128 130 135 144 150 156 159 160 180 183 192 195 200 208 212 216 225 234 240 244 250 256 260 265 270 288 300 305 312 318 320 325 351 360 366 375 384 390 400 416 424 432 450 468 477 480 488 500 512 520 530 540 549 576 585 600 610 624 625 636 640 650 675 689 702 720 732 750 768 780 793 795 800 832 848 864 900 915 936 954 960 975 976 1000 1024 1040 1060 1080 1098 1125 1152 1170 1200 1220 1248 1250 1272 1280 1300 1325 1350 1378 1404 1431 1440 1464 1500 1525 1536 1560 1586 1590 1600 1625 1647 1664 1696 1728 1755 1800 1830 1872 1875 1908 1920 1950 1952 2000 2048 2067 2080 2120 2160 2196 2250 2304 2340 2379 2385 2400 2440 2496 2500 2544 2560 2600 2650 2700 2745 2756 2808 2862 2880 2925 2928 3000 3050 3072 3120 3172 3180 3200 3233 3250 3294 3328 3375 3392 3445 3456 3510 3600 3660 3744 3750 3816 3840 3900 3904 3965 3975 4000 4096 4134 4160 4240 4320 4392 4500 4575 4608 4680 4758 4770 4800 4875 4880 4992 5000 5088 5120 5200 5300 5400 5490 5512 5616 5625 5724 5760 5850 5856 6000 6100 6144 6201 6240 6344 6360 6400 6466 6500 6588 6625 6656 6750 6784 6890 6912 7020 7137 7155 7200 7320 7488 7500 7625 7632 7680 7800 7808 7930 7950 8000 8125 8192 8235 8268 8320 8480 8640 8775 8784 9000 9150 9216 9360 9516 9540 9600 9699 9750 9760 9984 10000 10176 10240 10335 10400 10600 10800 10980 11024 11232 11250 11448 11520 11700 11712 11895 11925 12000 12200 12288 12402 12480 12688 12720 12800 12932 13000 13176 13250 13312 13500 13568 13725 13780 13824 14040 14274 14310 14400 14625 14640 14976 15000 15250 15264 15360 15600 15616 15860 15900 16000 16165 16250 16384 16470 16536 16640 16875 16960 17225 17280 17550 17568 18000 18300 18432 18603 18720 19032 19080 19200 19398 19500 19520 19825 19875 19968 20000 20352 20480 20670 20800 21200 21411 21600 21960 22048 22464 22500 22875 22896 23040 23400 23424 23790 23850 24000 24375 24400 24576 24804 24960 25376 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47623680000 47672524800 48417408000 48721920000 49658880000 50798592000 51645235200 53797120000 54812160000 55866240000 58100889600 58466304000 58613760000 59590656000 60521760000 61974282240 63498240000 64556544000 66211840000 67461120000 68860313600 71508787200 72626112000 73082880000 74369138688 74488320000 76197888000 77467852800 79454208000 80695680000 84664320000 86075392000 87699456000 89385984000 90782640000 92961423360 95247360000 96834816000 97443840000 99317760000 103290470400 107594240000 109624320000 111732480000 116201779200 119181312000 121043520000 123948564480 126996480000 129113088000 132423680000 143017574400 145252224000 146165760000 148976640000 152395776000 154935705600 161391360000 172150784000 175398912000 178771968000 181565280000 185922846720 190494720000 193669632000 198635520000 206580940800 215188480000 219248640000 223464960000 232403558400 238362624000 242087040000 253992960000 258226176000 290504448000 292331520000 297953280000 309871411200 322782720000 344301568000 357543936000 363130560000 371845693440 380989440000 387339264000 397271040000 430376960000 438497280000 446929920000 464807116800 484174080000 516452352000 581008896000 595906560000 619742822400 645565440000 715087872000 726261120000 761978880000 774678528000 860753920000 876994560000 893859840000 929614233600 968348160000 1032904704000 1162017792000 1191813120000 1291130880000 1452522240000 1549357056000 1721507840000 1787719680000 1859228467200 1936696320000 2324035584000 2582261760000 2905044480000 3098714112000 3575439360000 3873392640000 4648071168000 5164523520000 5810088960000 7746785280000 9296142336000 11620177920000 15493570560000 23240355840000 46480711680000
- Sum of all divisors σ(n): 191924811650880
- Sum of proper divisors (its aliquot sum) s(n): 145444099970880
- 46480711680000 is an abundant number, because the sum of its proper divisors (145444099970880) is greater than itself. Its abundance is 98963388290880
Bases of 46480711680000
- Binary: 10101001000110001000100100111100000000000000002
- Hexadecimal: 0x2A46224F0000
- Base-36: GH4XZMYO0
Squares and roots of 46480711680000
- 46480711680000 squared (464807116800002) is 2160456558279288422400000000
- 46480711680000 cubed (464807116800003) is 100419558382544722077136453632000000000000
-
The
square root of 46480711680000 is 6817676.4135590947 -
The
cube root of 46480711680000 is 35954.8589761019
Scales and comparisons
How big is 46480711680000?- 46,480,711,680,000 seconds is equal to 1,477,942 years, 44 weeks, 4 days.
-
To count from 1 to 46,480,711,680,000 would take you about three million, six hundred ninety-four thousand, eight hundred fifty-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 46480711680000 cubic inches would be around 2996.2 feet tall.
Recreational maths with 46480711680000
- 46480711680000 backwards is 00008611708464
- 46480711680000 is a
Harshad number . - The number of decimal digits it has is: 14
- The sum of 46480711680000's digits is 45
- More coming soon!
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"Number 46480711680000 - Facts about the integer". Numbermatics.com. 2024. Web. 27 April 2024.
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Numbermatics. (2024). Number 46480711680000 - Facts about the integer. Retrieved 27 April 2024, from https://numbermatics.com/n/46480711680000/
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The information we have on file for 46480711680000 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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