48394472448000
48,394,472,448,000 is an even composite number composed of seven prime numbers multiplied together.
What does the number 48394472448000 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 1792 divisors.
48394472448000 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of one thousand, seven hundred ninety-two divisors.
Prime factorization of 48394472448000:
213 × 3 × 53 × 7 × 29 × 71 × 1093
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 5 × 7 × 29 × 71 × 1093)See below for interesting mathematical facts about the number 48394472448000 from the Numbermatics database.
Names of 48394472448000
- Cardinal: 48394472448000 can be written as Forty-eight trillion, three hundred ninety-four billion, four hundred seventy-two million, four hundred forty-eight thousand.
Scientific notation
- Scientific notation: 4.8394472448 × 1013
Factors of 48394472448000
Divisors of 48394472448000
- Number of divisors d(n): 1792
-
Complete list of divisors:
1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 25 28 29 30 32 35 40 42 48 50 56 58 60 64 70 71 75 80 84 87 96 100 105 112 116 120 125 128 140 142 145 150 160 168 174 175 192 200 203 210 213 224 232 240 250 256 280 284 290 300 320 336 348 350 355 375 384 400 406 420 426 435 448 464 480 497 500 512 525 560 568 580 600 609 640 672 696 700 710 725 750 768 800 812 840 852 870 875 896 928 960 994 1000 1015 1024 1050 1065 1093 1120 1136 1160 1200 1218 1280 1344 1392 1400 1420 1450 1491 1500 1536 1600 1624 1680 1704 1740 1750 1775 1792 1856 1920 1988 2000 2030 2048 2059 2100 2130 2175 2186 2240 2272 2320 2400 2436 2485 2560 2625 2688 2784 2800 2840 2900 2982 3000 3045 3072 3200 3248 3279 3360 3408 3480 3500 3550 3584 3625 3712 3840 3976 4000 4060 4096 4118 4200 4260 4350 4372 4480 4544 4640 4800 4872 4970 5075 5120 5250 5325 5376 5465 5568 5600 5680 5800 5964 6000 6090 6144 6177 6400 6496 6558 6720 6816 6960 7000 7100 7168 7250 7424 7455 7651 7680 7952 8000 8120 8192 8236 8400 8520 8700 8744 8875 8960 9088 9280 9600 9744 9940 10150 10240 10295 10500 10650 10752 10875 10930 11136 11200 11360 11600 11928 12000 12180 12288 12354 12425 12800 12992 13116 13440 13632 13920 14000 14200 14336 14413 14500 14848 14910 15225 15302 15360 15904 16000 16240 16395 16472 16800 17040 17400 17488 17750 17920 18176 18560 19200 19488 19880 20300 20480 20590 21000 21300 21504 21750 21860 22272 22400 22720 22953 23200 23856 24000 24360 24576 24708 24850 25375 25600 25984 26232 26625 26880 27264 27325 27840 28000 28400 28672 28826 29000 29696 29820 30450 30604 30720 30885 31697 31808 32000 32480 32790 32944 33600 34080 34800 34976 35500 35840 36352 37120 37275 38255 38400 38976 39760 40600 40960 41180 42000 42600 43008 43239 43500 43720 44544 44800 45440 45906 46400 47712 48000 48720 49416 49700 50750 51200 51475 51968 52464 53250 53760 54528 54650 55680 56000 56800 57344 57652 58000 59392 59640 60900 61208 61440 61770 62125 63394 63616 64000 64960 65580 65888 67200 68160 69600 69952 71000 71680 72065 72704 74240 74550 76125 76510 76800 77603 77952 79520 81200 81975 82360 84000 85200 86016 86478 87000 87440 89088 89600 90880 91812 92800 95091 95424 96000 97440 98832 99400 101500 102400 102950 103936 104928 106500 107520 109056 109300 111360 112000 113600 114765 115304 116000 118784 119280 121800 122416 122880 123540 124250 126788 127232 128000 129920 131160 131776 134400 136320 136625 139200 139904 142000 143360 144130 145408 148480 149100 152250 153020 153600 154425 155206 155904 158485 159040 162400 163950 164720 168000 170400 172032 172956 174000 174880 178176 179200 181760 183624 185600 186375 190182 190848 191275 192000 194880 197664 198800 203000 204800 205900 207872 209856 213000 215040 216195 218112 218600 221879 222720 224000 227200 229530 230608 232000 232809 237568 238560 243600 244832 247080 248500 253576 254464 256000 257375 259840 262320 263552 268800 272640 273250 278400 279808 284000 286720 288260 290816 296960 298200 304500 306040 307200 308850 310412 311808 316970 318080 324800 327900 329440 336000 340800 345912 348000 349760 356352 358400 360325 363520 367248 371200 372750 380364 381696 382550 384000 388015 389760 395328 397600 406000 409875 411800 415744 419712 426000 430080 432390 436224 437200 443758 445440 448000 454400 459060 461216 464000 465618 475455 477120 487200 489664 494160 497000 507152 508928 512000 514750 519680 524640 527104 537600 543221 545280 546500 556800 559616 568000 573825 576520 581632 593920 596400 609000 612080 614400 617700 620824 623616 633940 636160 649600 655800 658880 665637 672000 681600 691824 696000 699520 712704 716800 720650 727040 734496 742400 745500 760728 763392 765100 768000 772125 776030 779520 790656 792425 795200 812000 819750 823600 831488 839424 852000 860160 864780 872448 874400 887516 890880 896000 908800 918120 922432 928000 931236 950910 954240 956375 974400 979328 988320 994000 1014304 1017856 1024000 1029500 1039360 1049280 1054208 1075200 1080975 1086442 1090560 1093000 1109395 1113600 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18003896000 18435989504 18904090800 19474636800 19866368000 20164363520 20859686400 21300384000 21604675200 22138368000 22250332160 22720409600 23044986880 23503872000 23630113500 23839641600 24197236224 24343296000 25205454400 26074608000 27005844000 27264491520 27653984256 27812915200 28400512000 28806233600 29799552000 30246545280 31506818000 32262981632 32457728000 33375498240 34080614400 34567480320 34766144000 36007792000 37808181600 39732736000 40328727040 41719372800 42600768000 43209350400 44276736000 45440819200 46089973760 47260227000 47679283200 48394472448 48686592000 50410908800 52149216000 54011688000 55307968512 55625830400 56801024000 57612467200 59599104000 60493090560 63013636000 64525963264 66750996480 68161228800 69134960640 69532288000 72015584000 75616363200 79465472000 80657454080 83438745600 85201536000 86418700800 92179947520 94520454000 96788944896 97373184000 100821817600 104298432000 108023376000 111251660800 113602048000 115224934400 119198208000 120986181120 126027272000 129051926528 136322457600 138269921280 139064576000 144031168000 151232726400 161314908160 166877491200 170403072000 172837401600 189040908000 193577889792 201643635200 208596864000 216046752000 227204096000 230449868800 238396416000 241972362240 252054544000 276539842560 278129152000 288062336000 302465452800 322629816320 333754982400 340806144000 345674803200 378081816000 387155779584 403287270400 417193728000 432093504000 460899737600 483944724480 504109088000 556258304000 576124672000 604930905600 645259632640 681612288000 691349606400 756163632000 806574540800 834387456000 864187008000 967889448960 1008218176000 1152249344000 1209861811200 1382699212800 1512327264000 1613149081600 1668774912000 1728374016000 1935778897920 2016436352000 2304498688000 2419723622400 3024654528000 3226298163200 3456748032000 4032872704000 4839447244800 6049309056000 6913496064000 8065745408000 9678894489600 12098618112000 16131490816000 24197236224000 48394472448000
- Sum of all divisors σ(n): 193258712125440
- Sum of proper divisors (its aliquot sum) s(n): 144864239677440
- 48394472448000 is an abundant number, because the sum of its proper divisors (144864239677440) is greater than itself. Its abundance is 96469767229440
Bases of 48394472448000
- Binary: 10110000000011101101110101011011100000000000002
- Hexadecimal: 0x2C03B756E000
- Base-36: H5K43DXXC
Squares and roots of 48394472448000
- 48394472448000 squared (483944724480002) is 2342024963520231112704000000
- 48394472448000 cubed (483944724480003) is 113341062569608029674346110779392000000000
-
The
square root of 48394472448000 is 6956613.5761590207 -
The
cube root of 48394472448000 is 36441.6964841045
Scales and comparisons
How big is 48394472448000?- 48,394,472,448,000 seconds is equal to 1,538,794 years, 27 weeks, 3 days, 21 hours, 20 minutes.
-
To count from 1 to 48,394,472,448,000 would take you about three million, eight hundred forty-six thousand, nine 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 48394472448000 cubic inches would be around 3036.8 feet tall.
Recreational maths with 48394472448000
- 48394472448000 backwards is 00084427449384
- The number of decimal digits it has is: 14
- The sum of 48394472448000's digits is 57
- More coming soon!
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The information we have on file for 48394472448000 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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