468323216006800

Names of 468323216006800

• Cardinal: 468323216006800 can be written as Four hundred sixty-eight trillion, three hundred twenty-three billion, two hundred sixteen million, six thousand, eight hundred.

Scientific notation

• Scientific notation: 4.683232160068 × 10¹⁴

Factors of 468323216006800

• Number of distinct prime factors ω(n): 6
• Total number of prime factors Ω(n): 12
• Sum of prime factors: 8386879

Divisors of 468323216006800

• Number of divisors d(n): 480
• Complete list of divisors:
  1 2 4 5 7 8 10 11 14 16 20 22 25 28 35 37 40 44 49 50 55 56 70 74 77 80 88 98 100 110 112 140 148 154 175 176 185 196 200 220 245 259 275 280 296 308 343 350 370 385 392 400 407 440 490 518 539 550 560 592 616 686 700 740 770 784 814 880 925 980 1036 1078 1100 1225 1232 1295 1372 1400 1480 1540 1628 1715 1813 1850 1925 1960 2035 2072 2156 2200 2450 2590 2695 2744 2800 2849 2960 3080 3256 3430 3626 3700 3773 3850 3920 4070 4144 4312 4400 4900 5180 5390 5488 5698 6160 6475 6512 6860 7252 7400 7546 7700 8140 8575 8624 9065 9800 10175 10360 10780 11396 12691 12950 13475 13720 14245 14504 14800 15092 15400 16280 17150 18130 18865 19600 19943 20350 20720 21560 22792 25382 25900 26950 27440 28490 29008 30184 30800 32560 34300 36260 37730 39886 40700 43120 45325 45584 50764 51800 53900 56980 60368 63455 68600 71225 72520 75460 79772 81400 90650 94325 99715 101528 103600 107800 113960 126910 137200 139601 142450 145040 150920 159544 162800 181300 188650 199430 203056 215600 227920 253820 279202 284900 301840 317275 319088 362600 377300 398860 498575 507640 558404 569800 634550 698005 725200 754600 797720 997150 1015280 1116808 1139600 1269100 1396010 1509200 1595440 1994300 2233616 2538200 2792020 3490025 3988600 5076400 5584040 6980050 7977200 8386817 11168080 13960100 16773634 27920200 33547268 41934085 55840400 58707719 67094536 83868170 92254987 117415438 134189072 167736340 184509974 209670425 234830876 293538595 310312229 335472680 369019948 410954033 419340850 461274935 469661752 587077190 620624458 645784909 670945360 738039896 821908066 838681700 922549870 939323504 1174154380 1241248916 1291569818 1467692975 1476079792 1551561145 1643816132 1677363400 1845099740 2054770165 2172185603 2306374675 2348308760 2482497832 2583139636 2876678231 2935385950 3103122290 3228924545 3287632264 3354726800 3413434519 3690199480 4109540330 4344371206 4520494363 4612749350 4696617520 4964995664 5166279272 5753356462 5870771900 6206244580 6457849090 6575264528 6826869038 7380398960 7757805725 8219080660 8688742412 9040988726 9225498700 10273850825 10332558544 10860928015 11506712924 11741543800 12412489160 12915698180 13653738076 14383391155 15205299221 15515611450 16144622725 16438161320 17067172595 17377484824 18081977452 18450997400 20547701650 21721856030 22602471815 23013425848 23483087600 23894041633 24824978320 25831396360 27307476152 28766782310 30410598442 31031222900 31643460541 32289245450 32876322640 34134345190 34754969648 36163954904 36901994800 41095403300 43443712060 45204943630 46026851696 47788083266 51662792720 54304640075 54614952304 57533564620 60821196884 62062445800 63286921082 64578490900 68268690380 71916955775 72327909808 76026496105 82190806600 85335862975 86887424120 90409887260 95576166532 106437094547 108609280150 113012359075 115067129240 119470208165 121642393768 124124891600 126573842164 129156981800 136537380760 143833911550 152052992210 158217302705 164381613200 167258291431 170671725950 173774848240 180819774520 191152333064 212874189094 217218560300 226024718150 230134258480 238940416330 243284787536 253147684328 258313963600 273074761520 287667823100 304105984420 316434605410 334516582862 341343451900 361639549040 380132480525 382304666128 425748378188 434437120600 452049436300 477880832660 506295368656 532185472735 575335646200 597351040825 608211968840 632869210820 669033165724 682686903800 760264961050 791086513525 836291457155 851496756376 868874241200 904098872600 955761665320 1064370945470 1150671292400 1170808040017 1194702081650 1216423937680 1265738421640 1338066331448 1365373807600 1520529922100 1582173027050 1672582914310 1702993512752 1808197745200 1911523330640 2128741890940 2341616080034 2389404163300 2531476843280 2660927363675 2676132662896 3041059844200 3164346054100 3345165828620 4181457285775 4257483781880 4683232160068 4778808326600 5321854727350 5854040200085 6082119688400 6328692108200 6690331657240 8362914571550 8514967563760 9366464320136 9557616653200 10643709454700 11708080400170 12657384216400 13380663314480 16725829143100 18732928640272 21287418909400 23416160800340 29270201000425 33451658286200 42574837818800 46832321600680 58540402000850 66903316572400 93664643201360 117080804001700 234161608003400 468323216006800
• Sum of all divisors σ(n): 1470095134675200
• Sum of proper divisors (its aliquot sum) s(n): 1001771918668400
• 468323216006800 is an abundant number, because the sum of its proper divisors (1001771918668400) is greater than itself. Its abundance is 533448702661600

Bases of 468323216006800

• Binary: 1101010011110111111111110111011100001111010010000₂
• Hexadecimal: 0x1A9EFFEEE1E90
• Base-36: 4M08PR2A34

Squares and roots of 468323216006800

• 468323216006800 squared (468323216006800²) is 219326634650951851737646240000
• 468323216006800 cubed (468323216006800³) is 102715754895682229782556147978923834432000000
• The square root of 468323216006800 is 21640776.6960153257
• The cube root of 468323216006800 is 77657.2300752503

Scales and comparisons

• 468,323,216,006,800 seconds is equal to 14,891,229 years, 33 weeks, 5 days, 16 hours, 6 minutes, 40 seconds.
• To count from 1 to 468,323,216,006,800 would take you about thirty-seven million, two hundred twenty-eight thousand and seventy-four 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 468323216006800 cubic inches would be around 6471.4 feet tall.

Recreational maths with 468323216006800

• 468323216006800 backwards is 008600612323864
• 468323216006800 is a Harshad number.
• The number of decimal digits it has is: 15
• The sum of 468323216006800's digits is 49
• More coming soon!