48679680504000
48,679,680,504,000 is an even composite number composed of seven prime numbers multiplied together.
48679680504000 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of eight hundred ninety-six divisors.
Prime factorization of 48679680504000:
26 × 3 × 53 × 7 × 13 × 23 × 969097
(2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 5 × 7 × 13 × 23 × 969097)See below for interesting mathematical facts about the number 48679680504000 from the Numbermatics database.
Names of 48679680504000
- Cardinal: 48679680504000 can be written as Forty-eight trillion, six hundred seventy-nine billion, six hundred eighty million, five hundred four thousand.
Scientific notation
- Scientific notation: 4.8679680504 × 1013
Factors of 48679680504000
Divisors of 48679680504000
- Number of divisors d(n): 896
-
Complete list of divisors:
1 2 3 4 5 6 7 8 10 12 13 14 15 16 20 21 23 24 25 26 28 30 32 35 39 40 42 46 48 50 52 56 60 64 65 69 70 75 78 80 84 91 92 96 100 104 105 112 115 120 125 130 138 140 150 156 160 161 168 175 182 184 192 195 200 208 210 224 230 240 250 260 273 276 280 299 300 312 320 322 325 336 345 350 364 368 375 390 400 416 420 448 455 460 480 483 500 520 525 546 552 560 575 598 600 624 644 650 672 690 700 728 736 750 780 800 805 832 840 875 897 910 920 960 966 975 1000 1040 1050 1092 1104 1120 1150 1196 1200 1248 1288 1300 1344 1365 1380 1400 1456 1472 1495 1500 1560 1600 1610 1625 1680 1725 1750 1794 1820 1840 1932 1950 2000 2080 2093 2100 2184 2208 2240 2275 2300 2392 2400 2415 2496 2576 2600 2625 2730 2760 2800 2875 2912 2990 3000 3120 3220 3250 3360 3450 3500 3588 3640 3680 3864 3900 4000 4025 4160 4186 4200 4368 4416 4485 4550 4600 4784 4800 4830 4875 5152 5200 5250 5460 5520 5600 5750 5824 5980 6000 6240 6279 6440 6500 6720 6825 6900 7000 7176 7280 7360 7475 7728 7800 8000 8050 8372 8400 8625 8736 8970 9100 9200 9568 9660 9750 10304 10400 10465 10500 10920 11040 11200 11375 11500 11960 12000 12075 12480 12558 12880 13000 13650 13800 14000 14352 14560 14950 15456 15600 16100 16744 16800 17250 17472 17940 18200 18400 19136 19320 19500 20125 20800 20930 21000 21840 22080 22425 22750 23000 23920 24000 24150 25116 25760 26000 27300 27600 28000 28704 29120 29900 30912 31200 31395 32200 33488 33600 34125 34500 35880 36400 36800 37375 38640 39000 40250 41860 42000 43680 44850 45500 46000 47840 48300 50232 51520 52000 52325 54600 55200 56000 57408 59800 60375 62400 62790 64400 66976 68250 69000 71760 72800 74750 77280 78000 80500 83720 84000 87360 89700 91000 92000 95680 96600 100464 104000 104650 109200 110400 112125 119600 120750 125580 128800 133952 136500 138000 143520 145600 149500 154560 156000 156975 161000 167440 168000 179400 182000 184000 193200 200928 209300 218400 224250 239200 241500 251160 257600 261625 273000 276000 287040 299000 312000 313950 322000 334880 358800 364000 386400 401856 418600 436800 448500 478400 483000 502320 523250 546000 552000 598000 627900 644000 669760 717600 728000 772800 784875 837200 897000 966000 969097 1004640 1046500 1092000 1196000 1255800 1288000 1435200 1569750 1674400 1794000 1932000 1938194 2009280 2093000 2184000 2392000 2511600 2907291 3139500 3348800 3588000 3864000 3876388 4186000 4845485 5023200 5814582 6279000 6783679 7176000 7752776 8372000 9690970 10046400 11629164 12558000 12598261 13567358 14536455 15505552 16744000 19381940 20351037 22289231 23258328 24227425 25116000 25196522 27134716 29072910 31011104 33918395 37794783 38763880 40702074 44578462 46516656 48454850 50232000 50393044 54269432 58145820 62022208 62991305 66867693 67836790 72682275 75589566 77527760 81404148 88187827 89156924 93033312 96909700 100786088 101755185 108538864 111446155 116291640 121137125 125982610 133735386 135673580 145364550 151179132 155055520 156024617 162808296 169591975 176375654 178313848 186066624 188973915 193819400 201572176 203510370 217077728 222892310 232583280 242274250 251965220 264563481 267470772 271347160 289760003 290729100 302358264 310111040 312049234 314956525 325616592 334338465 339183950 352751308 356627696 363411375 377947830 387638800 403144352 407020740 434155456 440939135 445784620 465166560 468073851 484548500 503930440 508775925 529126962 534941544 542694320 557230775 579520006 581458200 604716528 624098468 629913050 651233184 668676930 678367900 705502616 713255392 726822750 755895660 775277600 780123085 806288704 814041480 847959875 869280009 881878270 891569240 930333120 936147702 944869575 969097000 1007860880 1017551850 1058253924 1069883088 1085388640 1114461550 1159040012 1162916400 1209433056 1248196936 1259826100 1302466368 1322817405 1337353860 1356735800 1411005232 1426510784 1448800015 1453645500 1511791320 1550555200 1560246170 1574782625 1628082960 1671692325 1695919750 1738560018 1763756540 1783138480 1872295404 1889739150 1938194000 2015721760 2028320021 2035103700 2116507848 2139766176 2170777280 2204695675 2228923100 2318080024 2325832800 2340369255 2418866112 2496393872 2519652200 2543879625 2645634810 2674707720 2713471600 2786153875 2822010464 2897600030 2907291000 3023582640 3120492340 3149565250 3256165920 3343384650 3391839500 3477120036 3527513080 3566276960 3744590808 3779478300 3876388000 3900615425 4031443520 4056640042 4070207400 4233015696 4279532352 4346400045 4409391350 4457846200 4636160048 4651665600 4680738510 4724347875 4992787744 5039304400 5087759250 5291269620 5349415440 5426943200 5572307750 5644020928 5795200060 5814582000 6047165280 6084960063 6240984680 6299130500 6512331840 6614087025 6686769300 6783679000 6954240072 7055026160 7132553920 7244000075 7489181616 7558956600 7752776000 7801230850 8113280084 8140414800 8358461625 8466031392 8692800090 8818782700 8915692400 9272320096 9361477020 9448695750 9985575488 10078608800 10141600105 10175518500 10582539240 10698830880 10853886400 11023478375 11144615500 11590400120 11629164000 11701846275 12094330560 12169920126 12481969360 12598261000 13228174050 13373538600 13567358000 13908480144 14110052320 14488000150 14978363232 15117913200 15602461700 16226560168 16280829600 16716923250 16932062784 17385600180 17637565400 17831384800 18544640192 18722954040 18897391500 19503077125 20157217600 20283200210 20351037000 21165078480 21397661760 21732000225 22046956750 22289231000 23180800240 23258328000 23403692550 24339840252 24963938720 25196522000 26456348100 26747077200 27134716000 27816960288 28220104640 28976000300 29956726464 30235826400 30424800315 31204923400 32453120336 32561659200 33070435125 33433846500 34771200360 35275130800 35662769600 36220000375 37445908080 37794783000 39006154250 40566400420 40702074000 42330156960 43464000450 44093913500 44578462000 46361600480 46807385100 48679680504 49927877440 50393044000 50708000525 52912696200 53494154400 54269432000 55633920576 57952000600 58509231375 60471652800 60849600630 62409846800 64906240672 66140870250 66867693000 69542400720 70550261600 72440000750 74891816160 75589566000 78012308500 81132800840 81404148000 84660313920 86928000900 88187827000 89156924000 92723200960 93614770200 97359361008 100786088000 101416001050 105825392400 106988308800 108660001125 115904001200 117018462750 121699201260 124819693600 129812481344 132281740500 133735386000 139084801440 141100523200 144880001500 149783632320 151179132000 152124001575 156024617000 162265601680 162808296000 173856001800 176375654000 178313848000 187229540400 194718722016 202832002100 211650784800 217320002250 231808002400 234036925500 243398402520 249639387200 253540002625 264563481000 267470772000 278169602880 289760003000 302358264000 304248003150 312049234000 324531203360 347712003600 352751308000 374459080800 389437444032 405664004200 423301569600 434640004500 463616004800 468073851000 486796805040 507080005250 529126962000 534941544000 579520006000 608496006300 624098468000 649062406720 695424007200 705502616000 748918161600 760620007875 811328008400 869280009000 936147702000 973593610080 1014160010500 1058253924000 1159040012000 1216992012600 1248196936000 1390848014400 1521240015750 1622656016800 1738560018000 1872295404000 1947187220160 2028320021000 2116507848000 2318080024000 2433984025200 3042480031500 3245312033600 3477120036000 3744590808000 4056640042000 4867968050400 6084960063000 6954240072000 8113280084000 9735936100800 12169920126000 16226560168000 24339840252000 48679680504000
- Sum of all divisors σ(n): 206435922481152
- Sum of proper divisors (its aliquot sum) s(n): 157756241977152
- 48679680504000 is an abundant number, because the sum of its proper divisors (157756241977152) is greater than itself. Its abundance is 109076561473152
Bases of 48679680504000
- Binary: 10110001000110000111110001000001110000110000002
- Hexadecimal: 0x2C461F1070C0
- Base-36: H974WWEDC
Squares and roots of 48679680504000
- 48679680504000 squared (486796805040002) is 2369711293971517694016000000
- 48679680504000 cubed (486796805040003) is 115356788677253902620681712664064000000000
-
The
square root of 48679680504000 is 6977082.5209395369 -
The
cube root of 48679680504000 is 36513.1448255743
Scales and comparisons
How big is 48679680504000?- 48,679,680,504,000 seconds is equal to 1,547,863 years, 13 weeks, 5 days, 1 hour, 20 minutes.
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To count from 1 to 48,679,680,504,000 would take you about three million, eight hundred sixty-nine thousand, six hundred fifty-eight 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 48679680504000 cubic inches would be around 3042.8 feet tall.
Recreational maths with 48679680504000
- 48679680504000 backwards is 00040508697684
- The number of decimal digits it has is: 14
- The sum of 48679680504000's digits is 57
- More coming soon!
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The information we have on file for 48679680504000 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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