468828363895776

Names of 468828363895776

• Cardinal: 468828363895776 can be written as Four hundred sixty-eight trillion, eight hundred twenty-eight billion, three hundred sixty-three million, eight hundred ninety-five thousand, seven hundred seventy-six.

Scientific notation

• Scientific notation: 4.68828363895776 × 10¹⁴

Factors of 468828363895776

• Number of distinct prime factors ω(n): 7
• Total number of prime factors Ω(n): 12
• Sum of prime factors: 13124

Divisors of 468828363895776

• Number of divisors d(n): 576
• Complete list of divisors:
  1 2 3 4 6 8 9 12 16 18 23 24 32 36 37 46 48 69 72 74 92 96 111 138 144 148 184 193 207 222 276 288 296 333 368 386 414 444 552 579 592 666 736 772 823 828 851 888 1104 1158 1184 1332 1544 1646 1656 1702 1737 1776 2208 2316 2469 2553 2664 3088 3292 3312 3404 3474 3552 4439 4632 4938 5106 5328 6176 6584 6624 6808 6948 7141 7407 7659 8878 9264 9876 10212 10656 12043 13168 13317 13616 13896 14282 14814 15318 17756 18528 18929 19752 20424 21423 24086 26336 26634 27232 27792 28564 29628 30451 30636 35512 36129 37858 39504 39951 40848 42846 48172 53268 55584 56787 57128 59256 60902 61272 64269 71024 72258 75716 79008 79902 81696 85692 91353 96344 106536 108387 113574 114256 118512 121804 122544 128538 142048 144516 151432 158839 159804 164243 170361 171384 182706 192688 213072 216774 227148 228512 237024 243608 245088 257076 274059 276989 289032 302864 317678 319608 328486 340722 342768 365412 385376 426144 433548 445591 454296 476517 487216 492729 514152 548118 553978 578064 605728 635356 639216 656972 681444 685536 700373 730824 830967 867096 891182 908592 953034 974432 985458 1028304 1096236 1107956 1156128 1270712 1278432 1313944 1336773 1362888 1400746 1429551 1461648 1478187 1661934 1734192 1782364 1817184 1906068 1970916 2056608 2101119 2192472 2215912 2324299 2492901 2541424 2627888 2673546 2725776 2801492 2859102 2923296 2956374 3323868 3468384 3564728 3653297 3812136 3941832 4010319 4202238 4384944 4431824 4648598 4985802 5082848 5255776 5347092 5451552 5602984 5718204 5877043 5912748 6303357 6647736 6972897 7129456 7306594 7624272 7883664 8020638 8404476 8769888 8863648 9297196 9911389 9971604 10248593 10694184 10959891 11205968 11436408 11754086 11825496 12606714 13295472 13945794 14258912 14613188 15248544 15767328 16041276 16808952 17631129 18594392 19822778 19943208 20497186 20918691 21388368 21919782 22411936 22872816 23508172 23650992 25213428 26590944 27891588 29226376 29734167 30745779 32082552 32879673 33617904 35262258 37188784 39645556 39886416 40994372 41837382 42776736 43839564 45745632 47016344 47301984 50426856 52893387 53458877 55783176 58452752 59468334 61491558 64165104 65759346 67235808 70524516 74377568 79291112 79772832 81988744 83674764 85999063 87679128 89202501 92237337 94032688 100853712 105786774 106917754 111566352 116905504 118936668 122983116 128330208 131518692 135171989 141049032 158582224 160376631 163977488 167349528 171998126 175358256 178405002 184474674 188065376 201707424 211573548 213835508 223132704 227961947 237873336 245966232 257997189 263037384 270343978 282098064 317164448 320753262 327954976 334699056 343996252 350716512 356810004 366721393 368949348 405515967 423147096 427671016 455923894 475746672 481129893 491932464 515994378 526074768 540687956 564196128 641506524 669398112 683885841 687992504 713620008 733442786 737898696 773991567 811031934 846294192 855342032 911847788 951493344 962259786 983864928 1031988756 1052149536 1081375912 1100164179 1216547901 1283013048 1367771682 1375985008 1427240016 1466885572 1475797392 1547983134 1622063868 1692588384 1710684064 1823695576 1912898077 1924519572 1977978449 2051657523 2063977512 2162751824 2200328358 2433095802 2566026096 2735543364 2751970016 2854480032 2933771144 2951594784 3095966268 3244127736 3300492537 3647391152 3825796154 3849039144 3955956898 4103315046 4127955024 4325503648 4400656716 4866191604 5132052192 5471086728 5738694231 5867542288 5933935347 6191932536 6488255472 6600985074 7294782304 7651592308 7698078288 7911913796 8206630092 8255910048 8434592039 8801313432 9732383208 10942173456 11477388462 11735084576 11867870694 12383865072 12976510944 13201970148 15303184616 15396156576 15823827592 16413260184 16869184078 17216082693 17602626864 17801806041 19464766416 21884346912 22954776924 23735741388 24767730144 25303776117 26403940296 30606369232 31647655184 32826520368 33738368156 34432165386 35205253728 35603612082 38929532832 43996655771 45909553848 47471482776 50607552234 52807880592 61212738464 63295310368 65653040736 67476736312 68864330772 70777228849 71207224164 75911328351 87993311542 91819107696 94942965552 101215104468 105615761184 131989967313 134953472624 137728661544 141554457698 142414448328 151822656702 175986623084 183638215392 189885931104 202430208936 212331686547 263979934626 269906945248 275457323088 283108915396 284828896656 303645313404 351973246168 395969901939 404860417872 424663373094 527959869252 550914646176 566217830792 569657793312 607290626808 636995059641 703946492336 791939803878 809720835744 849326746188 1055919738504 1132435661584 1214581253616 1273990119282 1407892984672 1583879607756 1627876263527 1698653492376 2111839477008 2264871323168 2429162507232 2547980238564 3167759215512 3255752527054 3397306984752 4223678954016 4883628790581 5095960477128 6335518431024 6511505054108 6794613969504 9767257581162 10191920954256 12671036862048 13023010108216 14650886371743 19534515162324 20383841908512 26046020216432 29301772743486 39069030324648 52092040432864 58603545486972 78138060649296 117207090973944 156276121298592 234414181947888 468828363895776
• Sum of all divisors σ(n): 1438064709000192
• Sum of proper divisors (its aliquot sum) s(n): 969236345104416
• 468828363895776 is an abundant number, because the sum of its proper divisors (969236345104416) is greater than itself. Its abundance is 500407981208640

Bases of 468828363895776

• Binary: 1101010100110010110011100000101110011001111100000₂
• Hexadecimal: 0x1AA659C1733E0
• Base-36: 4M6ORZ2NS0

Squares and roots of 468828363895776

• 468828363895776 squared (468828363895776²) is 219800034793190161191790642176
• 468828363895776 cubed (468828363895776³) is 103048490696325982786158045641830292173848576
• The square root of 468828363895776 is 21652444.7556338543
• The cube root of 468828363895776 is 77685.1412048759

Scales and comparisons

• 468,828,363,895,776 seconds is equal to 14,907,291 years, 41 weeks, 18 hours, 9 minutes, 36 seconds.
• To count from 1 to 468,828,363,895,776 would take you about thirty-seven million, two hundred sixty-eight thousand, two hundred twenty-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 468828363895776 cubic inches would be around 6473.8 feet tall.

Recreational maths with 468828363895776

• 468828363895776 backwards is 677598363828864
• The number of decimal digits it has is: 15
• The sum of 468828363895776's digits is 90
• More coming soon!