448138126464000
448,138,126,464,000 is an even composite number composed of seven prime numbers multiplied together.
What does the number 448138126464000 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 2112 divisors.
448138126464000 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of two thousand, one hundred twelve divisors.
Prime factorization of 448138126464000:
210 × 3 × 53 × 7 × 232 × 113 × 2789
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 5 × 7 × 23 × 23 × 113 × 2789)See below for interesting mathematical facts about the number 448138126464000 from the Numbermatics database.
Names of 448138126464000
- Cardinal: 448138126464000 can be written as Four hundred forty-eight trillion, one hundred thirty-eight billion, one hundred twenty-six million, four hundred sixty-four thousand.
Scientific notation
- Scientific notation: 4.48138126464 × 1014
Factors of 448138126464000
Divisors of 448138126464000
- Number of divisors d(n): 2112
-
Complete list of divisors:
1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 23 24 25 28 30 32 35 40 42 46 48 50 56 60 64 69 70 75 80 84 92 96 100 105 112 113 115 120 125 128 138 140 150 160 161 168 175 184 192 200 210 224 226 230 240 250 256 276 280 300 320 322 336 339 345 350 368 375 384 400 420 448 452 460 480 483 500 512 525 529 552 560 565 575 600 640 644 672 678 690 700 736 750 768 791 800 805 840 875 896 904 920 960 966 1000 1024 1050 1058 1104 1120 1130 1150 1200 1280 1288 1344 1356 1380 1400 1472 1500 1536 1582 1587 1600 1610 1680 1695 1725 1750 1792 1808 1840 1920 1932 2000 2100 2116 2208 2240 2260 2300 2373 2400 2415 2560 2576 2599 2625 2645 2688 2712 2760 2789 2800 2825 2875 2944 3000 3072 3164 3174 3200 3220 3360 3390 3450 3500 3584 3616 3680 3703 3840 3864 3955 4000 4025 4200 4232 4416 4480 4520 4600 4746 4800 4830 5120 5152 5198 5250 5290 5376 5424 5520 5578 5600 5650 5750 5888 6000 6328 6348 6400 6440 6720 6780 6900 7000 7168 7232 7360 7406 7680 7728 7797 7910 7935 8000 8050 8367 8400 8464 8475 8625 8832 8960 9040 9200 9492 9600 9660 10304 10396 10500 10580 10752 10848 11040 11109 11156 11200 11300 11500 11776 11865 12000 12075 12656 12696 12800 12880 12995 13225 13440 13560 13800 13945 14000 14125 14464 14720 14812 15360 15456 15594 15820 15870 16000 16100 16734 16800 16928 16950 17250 17664 17920 18080 18193 18400 18515 18984 19200 19320 19523 19775 20125 20608 20792 21000 21160 21504 21696 22080 22218 22312 22400 22600 23000 23552 23730 24000 24150 25312 25392 25600 25760 25990 26450 26880 27120 27600 27890 28000 28250 28928 29440 29624 30912 31188 31640 31740 32000 32200 33468 33600 33856 33900 34500 35328 35840 36160 36386 36800 37030 37968 38400 38640 38985 39046 39550 39675 40250 41216 41584 41835 42000 42320 42375 43392 44160 44436 44624 44800 45200 46000 47460 48000 48300 50624 50784 51520 51980 52900 53760 54240 54579 55200 55545 55780 56000 56500 57856 58569 58880 59248 59325 59777 60375 61824 62376 63280 63480 64000 64147 64400 64975 66125 66936 67200 67712 67800 69000 69725 70656 72320 72772 73600 74060 75936 76800 77280 77970 78092 79100 79350 80500 82432 83168 83670 84000 84640 84750 86784 88320 88872 89248 89600 90400 90965 92000 92575 94920 96000 96600 97615 98875 101248 101568 103040 103960 105800 107520 108480 109158 110400 111090 111560 112000 113000 115712 117138 117760 118496 118650 119554 120750 123648 124752 126560 126960 128000 128294 128800 129950 132250 133872 134400 135424 135600 138000 139450 144640 145544 147200 148120 151872 154560 155940 156184 158200 158700 161000 164864 166336 167340 168000 169280 169500 173568 176640 177744 178496 179200 179331 180800 181930 184000 185150 189840 192000 192441 193200 194925 195230 197750 198375 202496 203136 206080 207920 209175 211600 216960 218316 220800 222180 223120 224000 226000 234276 236992 237300 239108 241500 247296 249504 253120 253920 256588 257600 259900 264500 267744 268800 270848 271200 272895 276000 277725 278900 289280 291088 292845 294400 296240 296625 298885 303744 309120 311880 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333436106000 347933328000 350107911300 373448438720 389685327360 396582412800 400123327200 405922216000 423571008000 426798215680 437634889125 448138126464 463911104000 466810548400 487106659200 495728016000 500154159000 512157858816 533497769600 556693324800 560172658080 566546304000 583513185500 597517501952 608883324000 640197323520 649475545600 660970688000 666872212000 695866656000 700215822600 746896877440 779370654720 793164825600 800246654400 811844432000 847142016000 853596431360 875269778250 896276252928 927822208000 933621096800 974213318400 991456032000 1000308318000 1066995539200 1120345316160 1167026371000 1195035003904 1217766648000 1280394647040 1298951091200 1321941376000 1333744424000 1391733312000 1400431645200 1493793754880 1600493308800 1623688864000 1750539556500 1792552505856 1867242193600 1948426636800 1982912064000 2000616636000 2133991078400 2240690632320 2334052742000 2435533296000 2560789294080 2667488848000 2783466624000 2800863290400 2987587509760 3200986617600 3247377728000 3501079113000 3585105011712 3734484387200 3896853273600 3965824128000 4001233272000 4267982156800 4481381264640 4668105484000 4871066592000 5334977696000 5601726580800 5975175019520 6401973235200 6494755456000 7002158226000 7468968774400 8002466544000 8962762529280 9336210968000 9742133184000 10669955392000 11203453161600 12803946470400 14004316452000 14937937548800 16004933088000 17925525058560 18672421936000 19484266368000 21339910784000 22406906323200 28008632904000 29875875097600 32009866176000 37344843872000 44813812646400 56017265808000 64019732352000 74689687744000 89627625292800 112034531616000 149379375488000 224069063232000 448138126464000
- Sum of all divisors σ(n): 1797324958840320
- Sum of proper divisors (its aliquot sum) s(n): 1349186832376320
- 448138126464000 is an abundant number, because the sum of its proper divisors (1349186832376320) is greater than itself. Its abundance is 901048705912320
Bases of 448138126464000
- Binary: 11001011110010100010010011101011010010100000000002
- Hexadecimal: 0x1979449D69400
- Base-36: 4EUNT9WVEO
Squares and roots of 448138126464000
- 448138126464000 squared (4481381264640002) is 200827780390664057143296000000
- 448138126464000 cubed (4481381264640003) is 89998585246195828565021705417785344000000000
-
The
square root of 448138126464000 is 21169273.1680612975 -
The
cube root of 448138126464000 is 76525.1103843941
Scales and comparisons
How big is 448138126464000?- 448,138,126,464,000 seconds is equal to 14,249,406 years, 12 weeks, 3 days, 2 hours, 40 minutes.
-
To count from 1 to 448,138,126,464,000 would take you about thirty-five million, six hundred twenty-three thousand, five hundred fifteen 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 448138126464000 cubic inches would be around 6377.1 feet tall.
Recreational maths with 448138126464000
- 448138126464000 backwards is 000464621831844
- The number of decimal digits it has is: 15
- The sum of 448138126464000's digits is 51
- More coming soon!
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"Number 448138126464000 - Facts about the integer". Numbermatics.com. 2024. Web. 27 September 2024.
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Numbermatics. (2024). Number 448138126464000 - Facts about the integer. Retrieved 27 September 2024, from https://numbermatics.com/n/448138126464000/
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Numbermatics. 2024. "Number 448138126464000 - Facts about the integer". https://numbermatics.com/n/448138126464000/
The information we have on file for 448138126464000 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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