468823084945600

Names of 468823084945600

• Cardinal: 468823084945600 can be written as Four hundred sixty-eight trillion, eight hundred twenty-three billion, eighty-four million, nine hundred forty-five thousand, six hundred.

Scientific notation

• Scientific notation: 4.688230849456 × 10¹⁴

Factors of 468823084945600

• Number of distinct prime factors ω(n): 7
• Total number of prime factors Ω(n): 13
• Sum of prime factors: 132302

Divisors of 468823084945600

• Number of divisors d(n): 672
• Complete list of divisors:
  1 2 4 5 7 8 10 11 14 16 20 22 25 28 32 35 40 44 50 55 56 64 67 70 77 80 88 100 110 112 134 140 154 160 175 176 200 220 224 268 275 280 308 320 335 350 352 385 400 431 440 448 469 536 550 560 616 670 700 704 737 770 800 862 880 938 1072 1100 1120 1232 1340 1400 1474 1540 1600 1675 1724 1760 1876 1925 2144 2155 2200 2240 2345 2464 2680 2800 2948 3017 3080 3350 3448 3520 3685 3752 3850 4288 4310 4400 4690 4741 4928 5159 5360 5600 5896 6034 6160 6700 6896 7370 7504 7700 8620 8800 9380 9482 10318 10720 10775 11200 11725 11792 12068 12320 13400 13792 14740 15008 15085 15400 17240 17600 18425 18760 18964 20636 21440 21550 23450 23584 23705 24136 24640 25795 26800 27584 28877 29480 30016 30170 30800 33187 34480 36850 37520 37928 41272 43100 46900 47168 47410 48272 51590 53600 57754 58960 60340 61600 66374 68960 73700 75040 75425 75856 82544 86200 93800 94820 96544 103180 107200 115508 117920 118525 120680 123200 128975 131779 132748 137920 144385 147400 150080 150850 151712 165088 165935 172400 187600 189640 193088 202139 206360 231016 235840 237050 241360 257950 263558 265496 288770 294800 301700 303424 317647 330176 331870 344800 375200 379280 404278 412720 462032 474100 482720 515900 527116 530992 577540 589600 603400 635294 658895 663740 689600 721925 750400 758560 808556 825440 829675 922453 924064 948200 965440 1010695 1031800 1054232 1061984 1155080 1179200 1206800 1270588 1317790 1327480 1443850 1449569 1517120 1588235 1617112 1650880 1659350 1844906 1848128 1896400 2021390 2063600 2108464 2123968 2223529 2310160 2413600 2541176 2635580 2654960 2887700 2899138 3176470 3234224 3294475 3318700 3689812 3792800 4042780 4127200 4216928 4447058 4612265 4620320 4827200 5053475 5082352 5271160 5309920 5775400 5798276 6352940 6468448 6588950 6637400 7247845 7379624 7585600 7941175 8085560 8254400 8433856 8829193 8894116 9224530 9240640 10106950 10146983 10164704 10542320 10619840 11117645 11550800 11596552 12705880 12936896 13177900 13274800 14495690 14759248 15882350 16171120 17658386 17788232 18449060 20213900 20293966 20329408 21084640 22235290 23061325 23101600 23193104 25411760 26355800 26549600 28991380 29518496 31764700 32342240 35316772 35576464 36239225 36898120 40427800 40587932 42169280 44145965 44470580 46122650 46203200 46386208 50734915 50823520 52711600 53099200 55588225 56796749 57982760 59036992 61804351 63529400 64684480 70633544 71152928 72478450 73796240 80855600 81175864 88291930 88941160 92245300 92772416 97121123 101469830 101647040 105423200 111176450 113593498 115965520 123608702 127058800 141267088 142305856 144956900 147592480 161711200 162351728 176583860 177882320 184490600 194242246 202939660 210846400 220729825 222352900 227186996 231931040 247217404 253674575 254117600 282534176 283983745 289913800 295184960 309021755 323422400 324703456 353167720 355764640 368981200 388484492 397577243 405879320 441459650 444705800 454373992 463862080 485605615 494434808 507349150 508235200 565068352 567967490 579827600 618043510 624764239 649406912 679847861 706335440 711529280 737962400 776968984 795154486 811758640 882919300 889411600 908747984 971211230 988869616 1014698300 1135934980 1159655200 1236087020 1249528478 1359695722 1412670880 1419918725 1475924800 1545108775 1553937968 1590308972 1623517280 1765838600 1778823200 1817495968 1942422460 1977739232 1987886215 2029396600 2271869960 2319310400 2428028075 2472174040 2499056956 2719391444 2825341760 2839837450 3090217550 3107875936 3123821195 3180617944 3247034560 3399239305 3531677200 3557646400 3634991936 3805382183 3884844920 3955478464 3975772430 4058793200 4373349673 4543739920 4856056150 4944348080 4998113912 5438782888 5679674900 6180435100 6215751872 6247642390 6361235888 6798478610 7063354400 7610764366 7769689840 7951544860 8117586400 8746699346 9087479840 9712112300 9888696160 9939431075 9996227824 10877565776 11359349800 12360870200 12495284780 12722471776 13596957220 14126708800 15221528732 15539379680 15619105975 15903089720 16235172800 16996196525 17493398692 18174959680 19026910915 19424224600 19777392320 19878862150 19992455648 21755131552 21866748365 22718699600 24721740400 24990569560 25444943552 26637675281 27193914440 30443057464 31078759360 31238211950 31806179440 33992393050 34986797384 38053821830 38848449200 39757724300 39984911296 41859204013 43510263104 43733496730 45437399200 49443480800 49981139120 53275350562 54387828880 60886114928 62476423900 63612358880 67984786100 69973594768 76107643660 77696898400 79515448600 83718408026 87466993460 90874798400 95134554575 98886961600 99962278240 106550701124 108775657760 109333741825 121772229856 124952847800 127224717760 133188376405 135969572200 139947189536 152215287320 155393796800 159030897200 167436816052 174933986920 190269109150 199924556480 209296020065 213101402248 217551315520 218667483650 243544459712 249905695600 266376752810 271939144400 279894379072 293014428091 304430574640 318061794400 334873632104 349867973840 380538218300 418592040130 426202804496 437334967300 499811391200 532753505620 543878288800 586028856182 608861149280 636123588800 665941882025 669747264208 699735947680 761076436600 837184080260 852405608992 874669934600 999622782400 1046480100325 1065507011240 1087756577600 1172057712364 1217722298560 1331883764050 1339494528416 1399471895360 1465072140455 1522152873200 1674368160520 1704811217984 1749339869200 2092960200650 2131014022480 2344115424728 2663767528100 2678989056832 2930144280910 3044305746400 3348736321040 3498679738400 4185920401300 4262028044960 4688230849456 5327535056200 5860288561820 6088611492800 6697472642080 6997359476800 7325360702275 8371840802600 8524056089920 9376461698912 10655070112400 11720577123640 13394945284160 14650721404550 16743681605200 18752923397824 21310140224800 23441154247280 29301442809100 33487363210400 42620280449600 46882308494560 58602885618200 66974726420800 93764616989120 117205771236400 234411542472800 468823084945600
• Sum of all divisors σ(n): 1463116171714560
• Sum of proper divisors (its aliquot sum) s(n): 994293086768960
• 468823084945600 is an abundant number, because the sum of its proper divisors (994293086768960) is greater than itself. Its abundance is 525470001823360

Bases of 468823084945600

• Binary: 1101010100110010001100001011100001101000011000000₂
• Hexadecimal: 0x1AA646170D0C0
• Base-36: 4M6MCO4FR4

Squares and roots of 468823084945600

• 468823084945600 squared (468823084945600²) is 219795084977909273354959360000
• 468823084945600 cubed (468823084945600³) is 103045009795223729761582082734315810816000000
• The square root of 468823084945600 is 21652322.8533476287
• The cube root of 468823084945600 is 77684.8496287109

Scales and comparisons

• 468,823,084,945,600 seconds is equal to 14,907,123 years, 48 weeks, 4 days, 19 hours, 6 minutes, 40 seconds.
• To count from 1 to 468,823,084,945,600 would take you about thirty-seven million, two hundred sixty-seven thousand, eight 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 468823084945600 cubic inches would be around 6473.7 feet tall.

Recreational maths with 468823084945600

• 468823084945600 backwards is 006549480328864
• 468823084945600 is a Harshad number.
• The number of decimal digits it has is: 15
• The sum of 468823084945600's digits is 67
• More coming soon!