12438757066968000

Names of 12438757066968000

• Cardinal: 12438757066968000 can be written as Twelve quadrillion, four hundred thirty-eight trillion, seven hundred fifty-seven billion, sixty-six million, nine hundred sixty-eight thousand.

Scientific notation

• Scientific notation: 1.2438757066968 × 10¹⁶

Factors of 12438757066968000

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 14
• Sum of prime factors: 117285304

Divisors of 12438757066968000

• Number of divisors d(n): 448
• Complete list of divisors:
  1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 25 27 30 32 36 40 45 48 50 54 60 64 72 75 80 90 96 100 108 120 125 135 144 150 160 180 192 200 216 225 240 250 270 288 300 320 360 375 400 432 450 480 491 500 540 576 600 675 720 750 800 864 900 960 982 1000 1080 1125 1200 1350 1440 1473 1500 1600 1728 1800 1964 2000 2160 2250 2400 2455 2700 2880 2946 3000 3375 3600 3928 4000 4320 4419 4500 4800 4910 5400 5892 6000 6750 7200 7365 7856 8000 8640 8838 9000 9820 10800 11784 12000 12275 13257 13500 14400 14730 15712 17676 18000 19640 21600 22095 23568 24000 24550 26514 27000 29460 31424 35352 36000 36825 39280 43200 44190 47136 49100 53028 54000 58920 61375 66285 70704 72000 73650 78560 88380 94272 98200 106056 108000 110475 117840 122750 132570 141408 147300 157120 176760 184125 196400 212112 216000 220950 235680 245500 265140 282816 294600 331425 353520 368250 392800 424224 441900 471360 491000 530280 552375 589200 662850 707040 736500 785600 848448 883800 982000 1060560 1104750 1178400 1325700 1414080 1473000 1657125 1767600 1964000 2121120 2209500 2356800 2651400 2946000 3314250 3535200 3928000 4242240 4419000 5302800 5892000 6628500 7070400 8838000 10605600 11784000 13257000 17676000 21211200 26514000 35352000 53028000 106056000 117284803 234569606 351854409 469139212 586424015 703708818 938278424 1055563227 1172848030 1407417636 1759272045 1876556848 2111126454 2345696060 2814835272 2932120075 3166689681 3518544090 3753113696 4222252908 4691392120 5277816135 5629670544 5864240150 6333379362 7037088180 7506227392 8444505816 8796360225 9382784240 10555632270 11259341088 11728480300 12666758724 14074176360 14660600375 15833448405 16889011632 17592720450 18765568480 21111264540 22518682176 23456960600 25333517448 26389080675 28148352720 29321200750 31666896810 33778023264 35185440900 37531136960 42222529080 43981801125 46913921200 50667034896 52778161350 56296705440 57586838273 58642401500 63333793620 67556046528 70370881800 79167242025 84445058160 87963602250 93827842400 101334069792 105556322700 112593410880 115173676546 117284803000 126667587240 131945403375 140741763600 158334484050 168890116320 172760514819 175927204500 187655684800 202668139584 211112645400 230347353092 234569606000 253335174480 263890806750 281483527200 287934191365 316668968100 337780232640 345521029638 351854409000 395836210125 422225290800 460694706184 469139212000 506670348960 518281544457 527781613500 562967054400 575868382730 633337936200 691042059276 703708818000 791672420250 844450581600 863802574095 921389412368 938278424000 1013340697920 1036563088914 1055563227000 1151736765460 1266675872400 1382084118552 1407417636000 1439670956825 1554844633371 1583344840500 1688901163200 1727605148190 1842778824736 2073126177828 2111126454000 2303473530920 2533351744800 2591407722285 2764168237104 2814835272000 2879341913650 3109689266742 3166689681000 3455210296380 3685557649472 4146252355656 4222252908000 4319012870475 4606947061840 5066703489600 5182815444570 5528336474208 5758683827300 6219378533484 6333379362000 6910420592760 7198354784125 7774223166855 8292504711312 8444505816000 8638025740950 9213894123680 10365630889140 11056672948416 11517367654600 12438757066968 12666758724000 12957038611425 13820841185520 14396709568250 15548446333710 16585009422624 17276051481900 18427788247360 20731261778280 21595064352375 23034735309200 24877514133936 25333517448000 25914077222850 27641682371040 28793419136500 31096892667420 33170018845248 34552102963800 38871115834275 41462523556560 43190128704750 46069470618400 49755028267872 51828154445700 55283364742080 57586838273000 62193785334840 64785193057125 69104205927600 77742231668550 82925047113120 86380257409500 92138941236800 99510056535744 103656308891400 115173676546000 124387570669680 129570386114250 138208411855200 155484463337100 165850094226240 172760514819000 194355579171375 207312617782800 230347353092000 248775141339360 259140772228500 276416823710400 310968926674200 345521029638000 388711158342750 414625235565600 460694706184000 497550282678720 518281544457000 621937853348400 691042059276000 777422316685500 829250471131200 1036563088914000 1243875706696800 1382084118552000 1554844633371000 2073126177828000 2487751413393600 3109689266742000 4146252355656000 6219378533484000 12438757066968000
• Sum of all divisors σ(n): 45729363845168640
• Sum of proper divisors (its aliquot sum) s(n): 33290606778200640
• 12438757066968000 is an abundant number, because the sum of its proper divisors (33290606778200640) is greater than itself. Its abundance is 20851849711232640

Bases of 12438757066968000

• Binary: 101100001100001111101111010000011011001000101111000000₂
• Hexadecimal: 0x2C30FBD06C8BC0
• Base-36: 3EH663YHDC0

Squares and roots of 12438757066968000

• 12438757066968000 squared (12438757066968000²) is 154722677371046362036713024000000
• 12438757066968000 cubed (12438757066968000³) is 1924557796569312791292931157145765791232000000000
• The square root of 12438757066968000 is 111529175.8553249599
• The cube root of 12438757066968000 is 231699.8016446257

Scales and comparisons

• 12,438,757,066,968,000 seconds is equal to 395,513,999 years, 6 weeks, 4 days, 12 hours.
• To count from 1 to 12,438,757,066,968,000 would take you about one billion, one hundred eighty-six million, five hundred forty-one thousand, nine hundred ninety-seven 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 12438757066968000 cubic inches would be around 19308.3 feet tall.

Recreational maths with 12438757066968000

• 12438757066968000 backwards is 00086966075783421
• 12438757066968000 is a Harshad number.
• The number of decimal digits it has is: 17
• The sum of 12438757066968000's digits is 72
• More coming soon!