468264560400

Names of 468264560400

• Cardinal: 468264560400 can be written as Four hundred sixty-eight billion, two hundred sixty-four million, five hundred sixty thousand, four hundred.

Scientific notation

• Scientific notation: 4.682645604 × 10¹¹

Factors of 468264560400

• Number of distinct prime factors ω(n): 7
• Total number of prime factors Ω(n): 14
• Sum of prime factors: 1002

Divisors of 468264560400

• Number of divisors d(n): 1440
• Complete list of divisors:
  1 2 3 4 5 6 7 8 9 10 12 13 14 15 16 18 20 21 24 25 26 28 30 31 35 36 39 40 42 45 48 49 50 52 56 60 62 63 65 70 72 75 78 80 84 90 91 93 98 100 104 105 112 117 120 124 126 130 140 144 147 150 155 156 168 175 180 182 186 195 196 200 208 210 217 225 234 240 245 248 252 260 273 279 280 294 300 310 312 315 325 336 343 350 360 364 372 390 392 400 403 420 434 441 450 455 465 468 490 496 504 520 525 546 558 560 585 588 600 620 624 630 637 650 651 686 700 720 728 735 744 775 780 784 806 819 840 868 882 900 910 930 936 941 975 980 1008 1029 1040 1050 1085 1092 1116 1170 1176 1200 1209 1225 1240 1260 1274 1300 1302 1365 1372 1395 1400 1456 1470 1488 1519 1550 1560 1575 1612 1638 1680 1715 1736 1764 1800 1820 1860 1872 1882 1911 1950 1953 1960 2015 2058 2100 2170 2184 2205 2232 2275 2325 2340 2352 2418 2450 2480 2520 2548 2600 2604 2730 2744 2790 2800 2821 2823 2925 2940 3038 3087 3100 3120 3150 3185 3224 3255 3276 3430 3472 3528 3600 3627 3640 3675 3720 3764 3822 3900 3906 3920 4030 4095 4116 4200 4340 4368 4410 4459 4464 4550 4557 4650 4680 4705 4836 4900 5040 5096 5145 5200 5208 5425 5460 5488 5580 5642 5646 5733 5850 5880 6045 6076 6174 6200 6300 6370 6448 6510 6552 6587 6825 6860 6975 7056 7254 7280 7350 7440 7528 7595 7644 7800 7812 8060 8190 8232 8400 8463 8469 8575 8680 8820 8918 9100 9114 9300 9360 9410 9555 9672 9765 9800 10075 10192 10290 10416 10633 10850 10920 11025 11160 11284 11292 11466 11700 11760 12090 12152 12233 12348 12400 12600 12740 13020 13104 13174 13377 13650 13671 13720 13950 14105 14115 14508 14700 15056 15190 15288 15435 15600 15624 15925 16120 16275 16380 16464 16926 16938 17150 17360 17640 17836 18135 18200 18228 18600 18820 19110 19344 19530 19600 19747 19761 20150 20475 20580 21266 21700 21840 22050 22295 22320 22568 22584 22785 22932 23400 23525 24180 24304 24466 24696 25200 25389 25480 25725 26040 26348 26754 27300 27342 27440 27900 28210 28230 28665 29016 29171 29400 30225 30380 30576 30870 31248 31850 31899 32240 32550 32760 32935 33852 33876 34300 35280 35672 36270 36400 36456 36699 37200 37640 37975 38220 39060 39494 39522 40131 40300 40950 41160 42315 42345 42532 43400 44100 44590 45136 45168 45570 45864 46109 46800 47050 47775 48360 48825 48932 49392 50778 50960 51450 52080 52696 53165 53508 54600 54684 55800 56420 56460 57330 58032 58342 58800 59241 59283 60450 60760 61165 61740 63700 63798 65100 65520 65870 66885 67704 67752 68355 68600 70525 70575 71344 72540 72912 73398 75280 75950 76440 77175 78120 78988 79044 80262 80600 81900 82320 84630 84690 85064 85631 86800 87513 88200 89180 90675 91140 91728 92218 94100 95550 95697 96720 97650 97864 98735 98805 101556 102900 105392 106330 107016 109200 109368 110097 111475 111600 112840 112920 113925 114660 116684 118482 118566 120900 121520 122330 123480 126945 127400 127596 130200 131740 133770 135408 135504 136710 137200 138229 138327 141050 141150 143325 145080 145855 146796 151900 152880 154350 156240 157976 158088 159495 160524 161200 163800 164675 169260 169380 170128 171262 175026 176400 177723 178360 181350 182280 183495 184436 188200 191100 191394 195300 195728 197470 197610 200655 203112 204197 205800 211575 211725 212660 214032 218736 220194 222950 225680 225840 227850 229320 230545 233368 236964 237132 241800 244660 246960 253890 254800 255192 256893 260400 262539 263480 265825 267540 273420 276458 276654 282100 282300 286650 290160 291710 293592 296205 296415 303800 305825 308700 315952 316176 318990 321048 322763 327600 329350 334425 338520 338760 341775 342524 350052 355446 356720 362700 364560 366990 368872 376400 379223 382200 382788 390600 394940 395220 401310 406224 408394 411600 414687 414981 423150 423450 425320 428155 437565 440388 445900 455700 458640 461090 466736 473928 474264 478485 483600 489320 493675 494025 507780 510384 513786 525078 526960 531650 535080 546840 550485 552916 553308 564200 564600 573300 583420 587184 592410 592830 599417 607600 611650 612591 617400 634725 637980 642096 645526 658700 668850 677040 677520 683550 685048 691145 691635 700104 710892 725400 729275 733980 737744 758446 764400 765576 770679 781200 789880 790440 797475 802620 816788 829374 829962 846300 846900 850640 856310 875130 880776 888615 891800 911400 917475 922180 947856 948528 956970 968289 978640 987350 988050 1003275 1015560 1020985 1027572 1050156 1063300 1070160 1093680 1100970 1105832 1106616 1128400 1129200 1137669 1146600 1152725 1166840 1184820 1185660 1198834 1223300 1225182 1234800 1244061 1269450 1275960 1284465 1291052 1312695 1317400 1337700 1367100 1370096 1382290 1383270 1400208 1421784 1429379 1450800 1458550 1467960 1481025 1482075 1516892 1531152 1541358 1579760 1580880 1594950 1605240 1613815 1633576 1658748 1659924 1692600 1693800 1712620 1750260 1761552 1777230 1783600 1798251 1822800 1834950 1837773 1844360 1896115 1913940 1936578 1974700 1976100 2006550 2031120 2041970 2055144 2073435 2074905 2100312 2126600 2140775 2187825 2201940 2211664 2213232 2275338 2293200 2305450 2333680 2369640 2371320 2392425 2397668 2446600 2450364 2488122 2538900 2551920 2568930 2582104 2625390 2634800 2654561 2675400 2734200 2752425 2764580 2766540 2843568 2858758 2904867 2917100 2935920 2962050 2964150 2997085 3033784 3062955 3082716 3189900 3210480 3227630 3267152 3317496 3319848 3385200 3387600 3413007 3425240 3455725 3458175 3500520 3554460 3596502 3669900 3675546 3688720 3792230 3827880 3853395 3873156 3949400 3952200 4013100 4083940 4110288 4146870 4149810 4195919 4200624 4253200 4281550 4288137 4375650 4403880 4443075 4550676 4610900 4739280 4742640 4784850 4795336 4841445 4893200 4900728 4976244 5077800 5104925 5137860 5164208 5250780 5309122 5350800 5394753 5468400 5504850 5529160 5533080 5688345 5717516 5809734 5834200 5924100 5928300 5994170 6067568 6125910 6165432 6220305 6379800 6422325 6455260 6563475 6634992 6639696 6826014 6850480 6911450 6916350 7001040 7108920 7146895 7193004 7339800 7351092 7584460 7655760 7706790 7746312 7898800 7904400 7963683 8026200 8069075 8167880 8293740 8299620 8391838 8563100 8576274 8751300 8807760 8886150 8991255 9101352 9188865 9221800 9480575 9569700 9590672 9682890 9801456 9952488 10005653 10155600 10209850 10275720 10367175 10374525 10501560 10618244 10789506 11009700 11058320 11066160 11376690 11435032 11619468 11668400 11848200 11856600 11988340 12251820 12330864 12440610 12587757 12759600 12844650 12864411 12910520 13126950 13272805 13652028 13822900 13832700 14217840 14293790 14386008 14524335 14679600 14702184 14985425 15168920 15314775 15413580 15492624 15927366 16052400 16138150 16335760 16587480 16599240 16783676 17065035 17126200 17152548 17502600 17772300 17982510 18202704 18377730 18443600 18581927 18961150 19139400 19266975 19365780 19904976 20011306 20419700 20551440 20734350 20749050 20979595 21003120 21236488 21440685 21579012 22019400 22753380 22870064 23238936 23696400 23713200 23891049 23976680 24207225 24503640 24881220 25175514 25689300 25728822 25821040 26253900 26545610 26973765 27304056 27645800 27665400 28441725 28587580 28772016 29048670 29404368 29970850 30016959 30337840 30629550 30827160 31101525 31854732 32276300 33174960 33198480 33567352 34130070 34252400 34305096 35005200 35544600 35734475 35965020 36755460 37163854 37763271 37922300 38278800 38533950 38731560 39818415 40022612 40839400 41468700 41498100 41959190 42472976 42881370 43158024 44038800 44956275 45506760 45944325 46477872 47782098 47953360 48414450 49007280 49762440 50028265 50351028 51378600 51457644 52507800 53091220 53947530 54608112 55291600 55330800 55745781 56883450 57175160 58097340 59941700 60033918 61259100 61654320 62203050 62938785 63709464 64322055 64552600 66364025 67134704 68260140 68610192 71089200 71468950 71930040 72621675 73510920 74327708 75526542 75844600 77067900 77463120 79636830 80045224 81678800 82937400 82996200 83918380 85325175 85762740 86316048 89912550 90050877 91013520 91888650 92909635 95564196 96828900 99524880 100056530 100702056 102757200 102915288 104897975 105015600 106182440 107203425 107895060 111491562 113766900 114350320 116194680 119455245 119883400 120067836 122518200 124406100 125877570 127418928 128644110 129105200 130073489 132728050 134868825 136520280 142937900 143860080 145243350 147021840 148655416 150084795 151053084 151689200 154135800 159273660 160090448 165874800 165992400 167237343 167836760 170650350 171525480 179825100 180101754 183777300 185819270 188816355 191128392 193657800 199092075 200113060 201404112 205830576 209795950 212364880 214406850 215790120 222983124 227533800 232389360 238910490 239766800 240135672 245036400 248812200 250141325 251755140 257288220 260146978 265456100 269737650 273040560 278728905 285875800 290486700 297310832 300169590 302106168 308271600 314693925 318547320 321610275 334474686 335673520 341300700 343050960 359650200 360203508 367554600 371638540 377632710 382256784 387315600 390220467 398184150 400226120 419591900 428813700 431580240 445966248 450254385 455067600 464548175 477820980 480271344 497624400 500282650 503510280 514576440 520293956 530912200 539475300 557457810 571751600 580973400 597276225 600339180 604212336 629387850 637094640 643220550 650367445 668949372 682601400 719300400 720407016 735109200 743277080 750423975 755265420 780440934 796368300 800452240 836186715 839183800 857627400 891932496 900508770 929096350 944081775 955641960 1000565300 1007020560 1029152880 1040587912 1061824400 1078950600 1114915620 1161946800 1170661401 1194552450 1200678360 1258775700 1286441100 1300734890 1337898744 1365202800 1393644525 1440814032 1486554160 1500847950 1510530840 1560881868 1592736600 1672373430 1678367600 1715254800 1801017540 1858192700 1888163550 1911283920 1951102335 2001130600 2081175824 2157901200 2229831240 2251271925 2341322802 2389104900 2401356720 2517551400 2572882200 2601469780 2675797488 2787289050 3001695900 3021061680 3121763736 3185473200 3251837225 3344746860 3602035080 3716385400 3776327100 3902204670 4002261200 4180933575 4459662480 4502543850 4682645604 4778209800 5035102800 5145764400 5202939560 5574578100 5853307005 6003391800 6243527472 6503674450 6689493720 7204070160 7432770800 7552654200 7804409340 8361867150 9005087700 9365291208 9556419600 9755511675 10405879120 11149156200 11706614010 12006783600 13007348900 13378987440 15105308400 15608818680 16723734300 18010175400 18730582416 19511023350 22298312400 23413228020 26014697800 29266535025 31217637360 33447468600 36020350800 39022046700 46826456040 52029395600 58533070050 66894937200 78044093400 93652912080 117066140100 156088186800 234132280200 468264560400
• Sum of all divisors σ(n): 2108898355200
• Sum of proper divisors (its aliquot sum) s(n): 1640633794800
• 468264560400 is an abundant number, because the sum of its proper divisors (1640633794800) is greater than itself. Its abundance is 1172369234400

Bases of 468264560400

• Binary: 110110100000110101111100010011100010000₂
• Hexadecimal: 0x6D06BE2710
• Base-36: 5Z48MN80

Squares and roots of 468264560400

• 468264560400 squared (468264560400²) is 219271698526605248160000
• 468264560400 cubed (468264560400³) is 102677165518722134233975308864000000
• The square root of 468264560400 is 684298.5900906123
• The cube root of 468264560400 is 7765.3987854225

Scales and comparisons

• 468,264,560,400 seconds is equal to 14,889 years, 18 weeks, 6 days, 17 hours.
• To count from 1 to 468,264,560,400 would take you about twenty-nine thousand, seven hundred seventy-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 468264560400 cubic inches would be around 647.1 feet tall.

Recreational maths with 468264560400

• 468264560400 backwards is 004065462864
• 468264560400 is a Harshad number.
• The number of decimal digits it has is: 12
• The sum of 468264560400's digits is 45
• More coming soon!