48752027648000
48,752,027,648,000 is an even composite number composed of six prime numbers multiplied together.
What does the number 48752027648000 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 1440 divisors.
48752027648000 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one thousand, four hundred forty divisors.
Prime factorization of 48752027648000:
214 × 53 × 192 × 23 × 47 × 61
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 5 × 19 × 19 × 23 × 47 × 61)See below for interesting mathematical facts about the number 48752027648000 from the Numbermatics database.
Names of 48752027648000
- Cardinal: 48752027648000 can be written as Forty-eight trillion, seven hundred fifty-two billion, twenty-seven million, six hundred forty-eight thousand.
Scientific notation
- Scientific notation: 4.8752027648 × 1013
Factors of 48752027648000
Divisors of 48752027648000
- Number of divisors d(n): 1440
-
Complete list of divisors:
1 2 4 5 8 10 16 19 20 23 25 32 38 40 46 47 50 61 64 76 80 92 94 95 100 115 122 125 128 152 160 184 188 190 200 230 235 244 250 256 304 305 320 361 368 376 380 400 437 460 470 475 488 500 512 575 608 610 640 722 736 752 760 800 874 893 920 940 950 976 1000 1024 1081 1150 1159 1175 1216 1220 1280 1403 1444 1472 1504 1520 1525 1600 1748 1786 1805 1840 1880 1900 1952 2000 2048 2162 2185 2300 2318 2350 2375 2432 2440 2560 2806 2867 2875 2888 2944 3008 3040 3050 3200 3496 3572 3610 3680 3760 3800 3904 4000 4096 4324 4370 4465 4600 4636 4700 4750 4864 4880 5120 5405 5612 5734 5750 5776 5795 5875 5888 6016 6080 6100 6400 6992 7015 7144 7220 7360 7520 7600 7625 7808 8000 8192 8303 8648 8740 8930 9025 9200 9272 9400 9500 9728 9760 10240 10810 10925 11224 11468 11500 11552 11590 11750 11776 12032 12160 12200 12800 13984 14030 14288 14335 14440 14720 15040 15200 15250 15616 16000 16384 16606 16967 17296 17480 17860 18050 18400 18544 18800 19000 19456 19520 20480 20539 21620 21850 22021 22325 22448 22936 23000 23104 23180 23500 23552 24064 24320 24400 25600 26657 27025 27968 28060 28576 28670 28880 28975 29440 30080 30400 30500 31232 32000 33212 33934 34592 34960 35075 35720 36100 36800 37088 37600 38000 38912 39040 40960 41078 41515 43240 43700 44042 44650 44896 45125 45872 46000 46208 46360 47000 47104 48128 48640 48800 51200 53314 54050 54473 54625 55936 56120 57152 57340 57760 57950 58880 60160 60800 61000 62464 64000 65941 66424 67868 69184 69920 70150 71440 71675 72200 73600 74176 75200 76000 77824 78080 81920 82156 83030 84835 86480 87400 88084 89300 89792 90250 91744 92000 92416 92720 94000 94208 96256 97280 97600 102400 102695 106628 108100 108946 109250 110105 111625 111872 112240 114304 114680 115520 115900 117760 120320 121600 122000 124928 128000 131882 132848 133285 135125 135736 138368 139840 140300 142880 143350 144400 144875 147200 148352 150400 152000 155648 156160 164312 166060 169670 172960 174800 175375 176168 178600 179584 180500 183488 184000 184832 185440 188000 188416 192512 194560 195200 204800 205390 207575 213256 216200 217892 218500 220210 223250 223744 224480 228608 229360 231040 231800 235520 240640 243200 244000 249856 256000 263764 265696 266570 270250 271472 272365 276736 279680 280600 285760 286700 288800 289750 294400 296704 300800 304000 311296 312320 328624 329705 332120 339340 345920 349600 350750 352336 357200 358375 359168 361000 366976 368000 369664 370880 376000 376832 385024 389120 390241 390400 409600 410780 415150 424175 426512 432400 435784 437000 440420 446500 447488 448960 457216 458720 462080 463600 471040 481280 486400 488000 499712 506483 512000 513475 527528 531392 533140 540500 542944 544730 550525 553472 559360 561200 571520 573400 577600 579500 588800 593408 601600 608000 624640 657248 659410 664240 666425 678680 691840 699200 701500 704672 714400 716750 718336 722000 733952 736000 739328 741760 752000 770048 778240 780482 780800 821560 830300 848350 853024 864800 871568 874000 880840 893000 894976 897920 914432 917440 924160 927200 942080 962560 972800 976000 999424 1012966 1024000 1026950 1034987 1037875 1055056 1062784 1066280 1081000 1085888 1089460 1101050 1106944 1118720 1122400 1143040 1146800 1155200 1159000 1177600 1186816 1203200 1216000 1249280 1252879 1314496 1318820 1328480 1332850 1357360 1361825 1383680 1398400 1403000 1409344 1428800 1433500 1436672 1444000 1467904 1472000 1478656 1483520 1504000 1556480 1560964 1561600 1643120 1648525 1660600 1696700 1706048 1729600 1743136 1748000 1761680 1786000 1789952 1795840 1828864 1834880 1848320 1854400 1884160 1925120 1945600 1951205 1952000 2025932 2048000 2053900 2069974 2075750 2110112 2120875 2125568 2132560 2162000 2171776 2178920 2202100 2213888 2237440 2244800 2286080 2293600 2310400 2318000 2355200 2373632 2406400 2432000 2498560 2505758 2532415 2567375 2628992 2637640 2656960 2665700 2714720 2723650 2752625 2767360 2796800 2806000 2818688 2857600 2867000 2873344 2888000 2935808 2944000 2957312 2967040 3008000 3121928 3123200 3286240 3297050 3321200 3332125 3393400 3412096 3459200 3486272 3496000 3523360 3572000 3579904 3591680 3657728 3669760 3696640 3708800 3850240 3891200 3902410 3904000 4051864 4107800 4139948 4151500 4220224 4241750 4251136 4265120 4324000 4343552 4357840 4404200 4427776 4474880 4489600 4572160 4587200 4620800 4636000 4710400 4747264 4812800 4864000 4997120 5011516 5064830 5134750 5174935 5257984 5275280 5313920 5331400 5429440 5447300 5505250 5534720 5593600 5612000 5637376 5715200 5734000 5746688 5776000 5871616 5888000 5914624 5934080 6016000 6243856 6246400 6264395 6572480 6594100 6642400 6664250 6786800 6809125 6824192 6918400 6972544 6992000 7046720 7144000 7159808 7183360 7315456 7339520 7393280 7417600 7782400 7804820 7808000 8103728 8215600 8242625 8279896 8303000 8440448 8483500 8502272 8530240 8648000 8687104 8715680 8808400 8855552 8949760 8979200 9144320 9174400 9241600 9272000 9420800 9494528 9625600 9728000 9756025 10023032 10129660 10269500 10349870 10515968 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296704000 312192800 313219750 320737024 324149120 328624000 331195840 336510976 337617920 340090880 341209600 347484160 348627200 352336000 359168000 360792064 365772800 366976000 369664000 380875216 390241000 399606784 400921280 405186400 413994800 420638720 422022400 425113600 426512000 434355200 435784000 436748288 442777600 446242816 447488000 450990080 457216000 474726400 476094020 499508480 501151600 506483000 517493500 518638592 525798400 527528000 529913344 531392000 540188672 542944000 545935360 553472000 557803520 563737600 574668800 587161600 593408000 595117525 624385600 626439500 641474048 648298240 657248000 662391680 675235840 680181760 682419200 694968320 697254400 704672000 718336000 733952000 739328000 761750432 780482000 799213568 801842560 810372800 827989600 841277440 844044800 850227200 853024000 868710400 871568000 892485632 894976000 901980160 914432000 952188040 999016960 1002303200 1012966000 1034987000 1037277184 1051596800 1055056000 1059826688 1062784000 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34748416000 38087521600 39960678400 40092128000 41491087360 42063872000 42393067520 45099008000 47609402000 48752027648 49950848000 51317923840 51863859200 52991334400 54593536000 55780352000 60940034560 64147404800 64829824000 66239168000 67523584000 76175043200 79921356800 80184256000 84786135040 95218804000 97504055296 99901696000 102635847680 103727718400 105982668800 111560704000 121880069120 128294809600 129659648000 132478336000 135047168000 152350086400 159842713600 160368512000 190437608000 195008110592 199803392000 207455436800 211965337600 243760138240 256589619200 259319296000 264956672000 304700172800 320737024000 380875216000 390016221184 399606784000 423930675200 487520276480 513179238400 518638592000 529913344000 609400345600 641474048000 761750432000 799213568000 975040552960 1037277184000 1059826688000 1218800691200 1282948096000 1523500864000 1950081105920 2119653376000 2437601382400 2565896192000 3047001728000 4875202764800 6094003456000 9750405529600 12188006912000 24376013824000 48752027648000
- Sum of all divisors σ(n): 139101054962688
- Sum of proper divisors (its aliquot sum) s(n): 90349027314688
- 48752027648000 is an abundant number, because the sum of its proper divisors (90349027314688) is greater than itself. Its abundance is 41596999666688
Bases of 48752027648000
- Binary: 10110001010110111101110100101001000000000000002
- Hexadecimal: 0x2C56F74A4000
- Base-36: HA4DEIRY8
Squares and roots of 48752027648000
- 48752027648000 squared (487520276480002) is 2376760199791356411904000000
- 48752027648000 cubed (487520276480003) is 115871878972894211624565884321792000000000
-
The
square root of 48752027648000 is 6982265.2232638657 -
The
cube root of 48752027648000 is 36531.2243346563
Scales and comparisons
How big is 48752027648000?- 48,752,027,648,000 seconds is equal to 1,550,163 years, 35 weeks, 2 days, 6 hours, 13 minutes, 20 seconds.
-
To count from 1 to 48,752,027,648,000 would take you about three million, eight hundred seventy-five thousand, four hundred 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 48752027648000 cubic inches would be around 3044.3 feet tall.
Recreational maths with 48752027648000
- 48752027648000 backwards is 00084672025784
- The number of decimal digits it has is: 14
- The sum of 48752027648000's digits is 53
- More coming soon!
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MLA style:
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The information we have on file for 48752027648000 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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