48638584456224

Names of 48638584456224

• Cardinal: 48638584456224 can be written as Forty-eight trillion, six hundred thirty-eight billion, five hundred eighty-four million, four hundred fifty-six thousand, two hundred twenty-four.

Scientific notation

• Scientific notation: 4.8638584456224 × 10¹³

Factors of 48638584456224

• Number of distinct prime factors ω(n): 7
• Total number of prime factors Ω(n): 13
• Sum of prime factors: 8330

Divisors of 48638584456224

• Number of divisors d(n): 864
• Complete list of divisors:
  1 2 3 4 6 7 8 12 14 16 19 21 24 28 29 32 38 42 48 49 56 57 58 76 79 84 87 96 98 112 114 116 133 147 152 158 168 174 196 203 224 228 232 237 266 294 304 316 336 348 392 399 406 456 464 474 532 551 553 588 608 609 632 672 696 784 798 812 841 912 928 931 948 1064 1102 1106 1176 1218 1264 1392 1421 1501 1568 1596 1624 1653 1659 1682 1824 1862 1896 2128 2204 2212 2291 2352 2436 2523 2528 2784 2793 2842 3002 3192 3248 3306 3318 3364 3724 3792 3857 3871 4256 4263 4408 4424 4503 4582 4704 4872 5046 5586 5684 5887 6004 6384 6496 6612 6636 6728 6873 7448 7584 7714 7742 8191 8526 8816 8848 9006 9164 9744 10092 10507 11172 11368 11571 11613 11774 12008 12768 13224 13272 13456 13746 14896 15428 15484 15979 16037 16382 17052 17632 17661 17696 18012 18328 19488 20184 21014 22344 22736 23142 23226 23548 24016 24573 26448 26544 26912 26999 27492 29792 30856 30968 31521 31958 32074 32764 34104 35322 36024 36656 40368 41209 42028 43529 44688 45472 46284 46452 47096 47937 48032 48111 49146 52896 53088 53998 54984 57337 61712 61936 63042 63916 64148 65528 66439 68208 70644 72048 73312 73549 80736 80997 82418 84056 87058 89376 92568 92904 94192 95874 96222 98292 107996 109968 111853 112259 114674 123424 123627 123872 126084 127832 128296 130587 131056 132878 136416 141288 144096 147098 155629 161994 164836 168112 172011 174116 185136 185808 188384 191748 192444 196584 199317 215992 219936 220647 223706 224518 229348 237539 247254 252168 255664 256592 261174 262112 265756 282576 294196 304703 311258 323988 329672 335559 336224 336777 344022 348232 370272 371616 383496 384888 393168 398634 401359 431984 441294 447412 449036 458696 465073 466887 475078 494508 504336 511328 513184 522348 531512 565152 588392 609406 622516 647089 647976 659344 671118 673554 688044 696464 712617 766992 769776 782971 786336 797268 802718 863968 882588 894824 898072 914109 917392 930146 933774 950156 989016 1008672 1044696 1063024 1089403 1176784 1204077 1218812 1245032 1262341 1294178 1295952 1318688 1342236 1347108 1376088 1392928 1395219 1425234 1533984 1539552 1565942 1594536 1605436 1662773 1765176 1789648 1796144 1828218 1834784 1860292 1867548 1900312 1941267 1978032 2089392 2126048 2132921 2178806 2348913 2353568 2408154 2437624 2490064 2524682 2588356 2591904 2684472 2694216 2752176 2790438 2850468 3131884 3189072 3210872 3255511 3268209 3325546 3530352 3579296 3592288 3656436 3720584 3735096 3787023 3800624 3882534 3956064 4178784 4265842 4357612 4513241 4529623 4697826 4816308 4875248 4980128 4988319 5049364 5176712 5368944 5388432 5504352 5580876 5700936 6263768 6378144 6398763 6421744 6511022 6536418 6651092 6888631 7060704 7312872 7441168 7470192 7574046 7601248 7625821 7765068 8531684 8715224 8836387 9026482 9059246 9395652 9632616 9750496 9766533 9976638 10098728 10353424 10737888 10776864 11161752 11401872 11639411 12294691 12527536 12797526 12843488 13022044 13072836 13302184 13539723 13588869 13777262 14625744 14882336 14940384 15148092 15251642 15530136 17063368 17430448 17672774 18052964 18118492 18765581 18791304 19265232 19533066 19953276 20197456 20665893 20706848 22323504 22803744 22877463 23278822 24589382 25055072 25595052 26044088 26145672 26509161 26604368 27079446 27177738 27554524 29251488 30296184 30503284 31060272 31592687 31707361 34126736 34860896 34918233 35345548 36105928 36236984 36884073 37531162 37582608 38530464 39066132 39906552 40394912 41331786 44647008 45754926 46557644 48220417 49178764 51190104 52088176 52291344 53018322 53208736 54158892 54355476 55109048 56296743 60592368 61006568 61854709 62120544 63185374 63414722 68253472 69836466 70691096 72211856 72473968 73768146 75062324 75165216 78132264 79813104 82663572 86062837 91509852 93115288 94778061 95122083 96440834 98357528 102380208 104176352 104582688 106036644 108317784 108710952 110218096 112593486 121184736 122013136 123709418 126370748 126829444 130883989 131359067 139672932 141382192 144423712 144661251 144947936 147536292 150124648 156264528 159626208 165327144 172125674 183019704 185564127 186230576 189556122 190244166 192881668 196715056 204760416 212073288 216635568 217421904 220436192 221148809 225186972 244026272 247418836 252741496 253658888 258188511 261767978 262718134 279345864 282764384 289322502 295072584 300249296 312529056 330654288 337542919 344251348 356546039 366039408 371128254 372461152 379112244 380488332 385763336 392651967 393430112 394077201 424146576 433271136 434843808 442297618 450373944 494837672 505482992 507317776 516377022 523535956 525436268 544201849 558691728 578645004 590145168 600498592 602439859 661308576 663446427 675085838 688502696 713092078 732078816 742256508 758224488 760976664 771526672 785303934 788154402 848293152 884595236 900747888 916187923 919513469 989675344 1010965984 1012628757 1014635552 1032754044 1047071912 1050872536 1069638117 1088403698 1117383456 1157290008 1180290336 1204879718 1326892854 1350171676 1377005392 1426184156 1484513016 1516448976 1521953328 1543053344 1570607868 1576308804 1632605547 1769190472 1801495776 1807319577 1832375846 1839026938 1979350688 2025257514 2065508088 2094143824 2101745072 2139276234 2176807396 2314580016 2409759436 2495822273 2653785708 2700343352 2748563769 2754010784 2758540407 2852368312 2969026032 3032897952 3043906656 3141215736 3152617608 3265211094 3538380944 3614639154 3664751692 3678053876 3809412943 4050515028 4131016176 4188287648 4203490144 4278552468 4353614792 4629160032 4819518872 4991644546 5307571416 5400686704 5497127538 5517080814 5704736624 5938052064 6282431472 6305235216 6413315461 6530422188 7076761888 7229278308 7329503384 7356107752 7487466819 7618825886 8101030056 8262032352 8557104936 8707229584 9639037744 9983289092 10339835131 10615142832 10801373408 10994255076 11034161628 11409473248 11428238829 12564862944 12610470432 12826630922 13060844376 14458556616 14659006768 14712215504 14974933638 15237651772 16202060112 17114209872 17414459168 17470755911 19239946383 19278075488 19966578184 20679670262 21230285664 21988510152 22068323256 22856477658 25653261844 26121688752 26665890601 28917113232 29318013536 29424431008 29949867276 30475303544 31019505393 32404120224 34228419744 34941511822 38479892766 39933156368 41359340524 43977020304 44136646512 45712955316 51306523688 52243377504 52412267733 53331781202 57834226464 59899734552 60950607088 62039010786 69883023644 72378845917 76959785532 79866312736 79997671803 82718681048 87954040608 88273293024 91425910632 102613047376 104824535466 106663562404 119799469104 121901214176 124078021572 139766047288 144757691834 153919571064 159995343606 165437362096 182851821264 205226094752 209649070932 213327124808 217136537751 239598938208 248156043144 279532094576 289515383668 307839142128 319990687212 330874724192 365703642528 419298141864 426654249616 434273075502 496312086288 506651921419 559064189152 579030767336 615678284256 639981374424 838596283728 853308499232 868546151004 992624172576 1013303842838 1158061534672 1279962748848 1519955764257 1677192567456 1737092302008 2026607685676 2316123069344 2559925497696 3039911528514 3474184604016 4053215371352 6079823057028 6948369208032 8106430742704 12159646114056 16212861485408 24319292228112 48638584456224
• Sum of all divisors σ(n): 163984755916800
• Sum of proper divisors (its aliquot sum) s(n): 115346171460576
• 48638584456224 is an abundant number, because the sum of its proper divisors (115346171460576) is greater than itself. Its abundance is 66707587004352

Bases of 48638584456224

• Binary: 1011000011110010001101100011001000010000100000₂
• Hexadecimal: 0x2C3C8D8C8420
• Base-36: H8O99DGYO

Squares and roots of 48638584456224

• 48638584456224 squared (48638584456224²) is 2365711897905234901772338176
• 48638584456224 cubed (48638584456224³) is 115064877945357736719503507075965996007424
• The square root of 48638584456224 is 6974136.8251722737
• The cube root of 48638584456224 is 36502.8669684533

Scales and comparisons

• 48,638,584,456,224 seconds is equal to 1,546,556 years, 27 weeks, 6 days, 8 hours, 30 minutes, 24 seconds.
• To count from 1 to 48,638,584,456,224 would take you about three million, eight hundred sixty-six thousand, three hundred ninety-one 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 48638584456224 cubic inches would be around 3041.9 feet tall.

Recreational maths with 48638584456224

• 48638584456224 backwards is 42265448583684
• The number of decimal digits it has is: 14
• The sum of 48638584456224's digits is 69
• More coming soon!