48138025834500
48,138,025,834,500 is an even composite number composed of eight prime numbers multiplied together.
What does the number 48138025834500 look like?
This visualization shows the relationship between its 8 prime factors (large circles) and 1152 divisors.
48138025834500 is an even composite number. It is composed of eight distinct prime numbers multiplied together. It has a total of one thousand, one hundred fifty-two divisors.
Prime factorization of 48138025834500:
22 × 3 × 53 × 72 × 17 × 61 × 127 × 4973
(2 × 2 × 3 × 5 × 5 × 5 × 7 × 7 × 17 × 61 × 127 × 4973)See below for interesting mathematical facts about the number 48138025834500 from the Numbermatics database.
Names of 48138025834500
- Cardinal: 48138025834500 can be written as Forty-eight trillion, one hundred thirty-eight billion, twenty-five million, eight hundred thirty-four thousand, five hundred.
Scientific notation
- Scientific notation: 4.81380258345 × 1013
Factors of 48138025834500
Divisors of 48138025834500
- Number of divisors d(n): 1152
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Complete list of divisors:
1 2 3 4 5 6 7 10 12 14 15 17 20 21 25 28 30 34 35 42 49 50 51 60 61 68 70 75 84 85 98 100 102 105 119 122 125 127 140 147 150 170 175 183 196 204 210 238 244 245 250 254 255 294 300 305 340 350 357 366 375 381 420 425 427 476 490 500 508 510 525 588 595 610 635 700 714 732 735 750 762 833 850 854 875 889 915 980 1020 1037 1050 1190 1220 1225 1270 1275 1281 1428 1470 1500 1524 1525 1666 1700 1708 1750 1778 1785 1830 1905 2074 2100 2125 2135 2159 2380 2450 2499 2540 2550 2562 2625 2667 2940 2975 2989 3050 3111 3175 3332 3500 3556 3570 3660 3675 3810 4148 4165 4250 4270 4318 4445 4575 4900 4973 4998 5100 5124 5185 5250 5334 5950 5978 6100 6125 6222 6223 6350 6375 6405 6477 7140 7259 7350 7620 7625 7747 8330 8500 8540 8636 8890 8925 8967 9150 9525 9946 9996 10370 10500 10668 10675 10795 11900 11956 12250 12444 12446 12495 12700 12750 12810 12954 13335 14518 14700 14875 14919 14945 15113 15250 15494 15555 15875 16660 17780 17850 17934 18300 18375 18669 19050 19892 20740 20825 21350 21590 21777 22225 22875 23241 24500 24865 24892 24990 25500 25620 25908 25925 26670 29036 29750 29838 29890 30226 30500 30988 31110 31115 31750 32025 32385 34811 35700 35868 36295 36750 37338 38100 38735 41650 42700 43180 43554 44450 44625 44835 45339 45750 46482 47625 49730 49980 50813 51850 53340 53375 53975 54229 59500 59676 59780 60452 62220 62230 62475 63500 64050 64770 66675 69622 72590 73500 74595 74676 74725 75565 77470 77775 83300 84541 87108 88900 89250 89670 90678 91500 92964 93345 95250 99460 101626 103700 104125 104433 105791 106750 107950 108458 108885 111125 116205 124325 124460 124950 128100 129540 129625 131699 133350 139244 145180 149190 149450 151130 152439 154940 155550 155575 160125 161925 162687 169082 174055 178500 179340 181356 181475 186690 190500 193675 203252 208250 208866 211582 213500 215900 216916 217770 222250 224175 226695 232410 243677 248650 249900 253623 254065 259250 263398 266700 269875 271145 298380 298900 302260 303353 304878 311100 311150 312375 317373 320250 323850 325374 333375 338164 348110 362950 372975 373380 373625 377825 379603 387350 388875 395097 416500 417732 422705 423164 435540 444500 448350 453390 464820 466725 487354 497300 507246 508130 518500 522165 526796 528955 539750 542290 544425 581025 591787 606706 609756 621625 622300 624750 631571 634746 640500 647700 650748 658495 666750 696220 725900 731031 745950 747250 755650 759206 762195 774700 777750 777875 790194 809625 813435 845410 870275 896700 906780 907375 910059 921893 933450 968375 974708 1014492 1016260 1044330 1057910 1079500 1084580 1088850 1120875 1133475 1138809 1162050 1183574 1213412 1218385 1243250 1249500 1263142 1268115 1269492 1270325 1316990 1333500 1355725 1462062 1491900 1494500 1511300 1516765 1518412 1524390 1555500 1555750 1580388 1586865 1619250 1626870 1690820 1740550 1775361 1814750 1820118 1843786 1864875 1866900 1889125 1894713 1898015 1936750 1975485 2088660 2113525 2115820 2123471 2177700 2241750 2266950 2277618 2324100 2333625 2367148 2436770 2486500 2526284 2536230 2540650 2610825 2633980 2644775 2711450 2722125 2765679 2905125 2924124 2958935 3033530 3048780 3111500 3157855 3173730 3238500 3253740 3292475 3481100 3550722 3629500 3640236 3655155 3687572 3729750 3778250 3789426 3796030 3810975 3873500 3950970 4067175 4142509 4227050 4246942 4351375 4420997 4483500 4533900 4550295 4555236 4609465 4667250 4873540 5072460 5081300 5157001 5221650 5289550 5422900 5444250 5531358 5667375 5694045 5810250 5917870 6067060 6091925 6315710 6340575 6347460 6351625 6370413 6453251 6584950 6778625 7101444 7310310 7459500 7556500 7578852 7583825 7592060 7621950 7901940 7934325 8134350 8285018 8454100 8493884 8702750 8841994 8876805 9100590 9218930 9334500 9473565 9490075 9877425 10314002 10443300 10567625 10579100 10617355 10736707 10888500 11062716 11334750 11388090 11620500 11835740 12183850 12427527 12631420 12681150 12703250 12740826 12906502 13054125 13169900 13223875 13262991 13557250 13828395 14620620 14794675 14864297 15167650 15243900 15471003 15789275 15868650 16268700 16462375 16570036 17405500 17683988 17753610 18201180 18275775 18437860 18947130 18980150 19054875 19359753 19754850 20335875 20628004 20712545 21135250 21234710 21473414 22104985 22669500 22751475 22776180 23047325 24367700 24855054 25362300 25406500 25481652 25785005 25813004 26108250 26447750 26525982 27114500 27656790 28470225 29589350 29728594 30335300 30459625 30942006 30946979 31578550 31702875 31737300 31852065 32210121 32266255 32924750 35507220 36099007 36551550 37894260 37919125 37960300 38109750 38525831 38719506 39509700 39671625 40671750 41425090 42270500 42469420 42946828 44209970 44384025 44592891 45502950 46094650 47367825 47450375 49387125 49710108 51570010 52216500 52895500 53051964 53086775 53683535 55313580 56940450 59178700 59457188 60919250 61884012 61893958 62137635 63157100 63405750 63704130 64420242 64532510 65849500 66314955 69141975 72198014 73103100 73973375 74321485 75156949 75838250 76219500 77051662 77355015 77439012 78946375 79343250 81343500 82850180 88419940 88768050 89185782 91005900 91378875 92189300 92840937 94735650 94900750 96798765 98774250 103140020 103562725 106173550 107367070 108297021 110524925 113757375 113880900 115236625 115577493 121838500 123787916 124275270 126811500 127408260 128840484 128925025 129065020 132629910 138283950 142351125 144396028 147946750 148642970 150313898 151676500 154103324 154710030 154734895 157892750 158686500 159260325 161050605 161331275 177536100 178371564 180495035 182757750 185681874 189471300 189801500 192629155 193597530 197548500 207125450 212347100 214734140 216594042 221049850 221920125 222964455 225470847 227514750 230473250 231154986 236839125 248550540 252693049 257850050 265259820 265433875 268417675 269680817 276567900 284702250 295893500 297285940 300627796 309420060 309469790 310688175 315785500 318520650 322101210 322662550 331574775 345709875 360990070 365515500 371363748 371607425 375784745 385258310 386775075 387195060 414250900 433188084 442099700 443840250 445928910 450941694 455029500 460946500 462309972 464204685 473678250 483993825 505386098 515700100 517813625 526098643 530867750 536835350 539361634 541485105 552624625 569404500 577887465 618939580 621376350 637041300 644202420 644625125 645325100 654939127 663149550 691419750 721980140 743214850 751569490 758079147 770516620 773550150 773674475 796301625 805253025 806656375 809042451 887680500 891857820 901883388 902475175 928409370 947356500 963145775 967987650 1010772196 1035627250 1052197286 1061735500 1073670700 1078723268 1082970210 1105249250 1114822275 1127354235 1155774930 1242752700 1263465245 1289250250 1309878254 1326299100 1342088375 1348404085 1382839500 1486429700 1503138980 1516158294 1547100300 1547348950 1553440875 1578295929 1592603250 1610506050 1613312750 1618084902 1657873875 1804950350 1856818740 1858037125 1878923725 1887765719 1926291550 1933875375 1935975300 1964817381 2071254500 2104394572 2165940420 2210498500 2229644550 2254708470 2311549860 2321023425 2419969125 2526930490 2578500500 2619756508 2630493215 2684176750 2696808170 2707425525 2889437325 3032316588 3094697900 3106881750 3156591858 3185206500 3221012100 3226625500 3236169804 3274695635 3315747750 3609900700 3716074250 3757847450 3775531438 3790395735 3852583100 3867750750 3868372375 3929634762 4026265125 4045212255 4459289100 4509416940 4512375875 4584573889 4642046850 4815728875 4839938250 5053860980 5260986430 5368353500 5393616340 5414851050 5574111375 5636771175 5663297157 5778874650 6213763500 6313183716 6317326225 6549391270 6631495500 6742020425 7432148500 7515694900 7551062876 7580791470 7735501500 7736744750 7859269524 7891479645 8052530250 8090424510 9024751750 9169147778 9284093700 9394618625 9438828595 9631457750 9679876500 9824086905 10521972860 10829702100 11148222750 11273542350 11326594314 11557749300 11605117125 12634652450 13098782540 13152466075 13484040850 13537127625 13753721667 14447186625 15161582940 15473489500 15782959290 16105060500 16180849020 16373478175 18049503500 18338295556 18789237250 18877657190 18951978675 19262915500 19648173810 20226061275 22296445500 22547084700 22653188628 22922869445 23210234250 25269304900 26304932150 26968081700 27074255250 27507443334 28183855875 28316485785 28894373250 31565918580 31586631125 32092017223 32746956350 33710102125 37578474500 37755314380 37903957350 39296347620 39457398225 40452122550 45845738890 46420468500 47194142975 49120434525 52609864300 54148510500 55014886668 56367711750 56632971570 57788746500 63173262250 64184034446 65493912700 65762330375 67420204250 68768608335 75807914700 78914796450 80904245100 81867390875 91691477780 94388285950 94759893375 96276051669 98240869050 101130306375 112735423500 113265943140 114614347225 126346524500 128368068892 131524660750 134840408500 137537216670 141582428925 157829592900 160460086115 163734781750 188776571900 189519786750 192552103338 196481738100 197286991125 202260612750 229228694450 235970714875 245602172625 263049321500 275074433340 283164857850 320920172230 327469563500 343843041675 379039573500 385104206676 394573982250 404521225500 458457388900 471941429750 481380258345 491204345250 566329715700 573071736125 641840344460 687686083350 707912144625 789147964500 802300430575 943882859500 962760516690 982408690500 1146143472250 1375372166700 1415824289250 1604600861150 1719215208375 1925521033380 2292286944500 2406901291725 2831648578500 3209201722300 3438430416750 4011502152875 4813802583450 6876860833500 8023004305750 9627605166900 12034506458625 16046008611500 24069012917250 48138025834500
- Sum of all divisors σ(n): 176903909425152
- Sum of proper divisors (its aliquot sum) s(n): 128765883590652
- 48138025834500 is an abundant number, because the sum of its proper divisors (128765883590652) is greater than itself. Its abundance is 80627857756152
Bases of 48138025834500
- Binary: 10101111001000000000011110111000011000000001002
- Hexadecimal: 0x2BC801EE1804
- Base-36: H2AAXP0JO
Squares and roots of 48138025834500
- 48138025834500 squared (481380258345002) is 2317269531242989421390250000
- 48138025834500 cubed (481380258345003) is 111548780560474729663894061406413625000000
-
The
square root of 48138025834500 is 6938157.2362191389 -
The
cube root of 48138025834500 is 36377.2131851629
Scales and comparisons
How big is 48138025834500?- 48,138,025,834,500 seconds is equal to 1,530,640 years, 16 weeks, 4 days, 18 hours, 55 minutes.
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To count from 1 to 48,138,025,834,500 would take you about three million, eight hundred twenty-six thousand, six hundred 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 48138025834500 cubic inches would be around 3031.4 feet tall.
Recreational maths with 48138025834500
- 48138025834500 backwards is 00543852083184
- 48138025834500 is a
Harshad number . - The number of decimal digits it has is: 14
- The sum of 48138025834500's digits is 51
- More coming soon!
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The information we have on file for 48138025834500 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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