46864948682214000

Names of 46864948682214000

• Cardinal: 46864948682214000 can be written as Forty-six quadrillion, eight hundred sixty-four trillion, nine hundred forty-eight billion, six hundred eighty-two million, two hundred fourteen thousand.

Scientific notation

• Scientific notation: 4.6864948682214 × 10¹⁶

Factors of 46864948682214000

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 12
• Sum of prime factors: 66759186180

Divisors of 46864948682214000

• Number of divisors d(n): 320
• Complete list of divisors:
  1 2 3 4 5 6 8 9 10 12 13 15 16 18 20 24 25 26 27 30 36 39 40 45 48 50 52 54 60 65 72 75 78 80 90 100 104 108 117 120 125 130 135 144 150 156 180 195 200 208 216 225 234 240 250 260 270 300 312 325 351 360 375 390 400 432 450 468 500 520 540 585 600 624 650 675 702 720 750 780 900 936 975 1000 1040 1080 1125 1170 1200 1300 1350 1404 1500 1560 1625 1755 1800 1872 1950 2000 2160 2250 2340 2600 2700 2808 2925 3000 3120 3250 3375 3510 3600 3900 4500 4680 4875 5200 5400 5616 5850 6000 6500 6750 7020 7800 8775 9000 9360 9750 10800 11700 13000 13500 14040 14625 15600 17550 18000 19500 23400 26000 27000 28080 29250 35100 39000 43875 46800 54000 58500 70200 78000 87750 117000 140400 175500 234000 351000 702000 66759186157 133518372314 200277558471 267036744628 333795930785 400555116942 534073489256 600832675413 667591861570 801110233884 867869420041 1001387792355 1068146978512 1201665350826 1335183723140 1602220467768 1668979653925 1735738840082 1802498026239 2002775584710 2403330701652 2603608260123 2670367446280 3004163377065 3204440935536 3337959307850 3471477680164 3604996052478 4005551169420 4339347100205 4806661403304 5006938961775 5207216520246 5340734892560 6008326754130 6675918615700 6942955360328 7209992104956 7810824780369 8011102338840 8344898269625 8678694200410 9012490131195 9613322806608 10013877923550 10414433040492 12016653508260 13018041300615 13351837231400 13885910720656 14419984209912 15020816885325 15621649560738 16022204677680 16689796539250 17357388400820 18024980262390 20027755847100 20828866080984 21696735501025 23432474341107 24033307016520 25034694808875 26036082601230 26703674462800 28839968419824 30041633770650 31243299121476 33379593078500 34714776801640 36049960524780 39054123901845 40055511694200 41657732161968 43393471002050 45062450655975 46864948682214 48066614033040 50069389617750 52072165202460 60083267541300 62486598242952 65090206503075 66759186157000 69429553603280 72099921049560 75104084426625 78108247803690 80111023388400 86786942004100 90124901311950 93729897364428 100138779235500 104144330404920 108483677505125 117162371705535 120166535082600 124973196485904 130180413006150 133518372314000 144199842099120 150208168853250 156216495607380 173573884008200 180249802623900 187459794728856 195270619509225 200277558471000 208288660809840 216967355010250 225312253279875 234324743411070 240333070165200 260360826012300 300416337706500 312432991214760 325451032515375 347147768016400 360499605247800 374919589457712 390541239018450 400555116942000 433934710020500 450624506559750 468649486822140 520721652024600 585811858527675 600832675413000 624865982429520 650902065030750 720999210495600 781082478036900 867869420041000 901249013119500 937298973644280 976353097546125 1041443304049200 1171623717055350 1201665350826000 1301804130061500 1562164956073800 1735738840082000 1802498026239000 1874597947288560 1952706195092250 2343247434110700 2603608260123000 2929059292638375 3124329912147600 3604996052478000 3905412390184500 4686494868221400 5207216520246000 5858118585276750 7810824780369000 9372989736442800 11716237170553500 15621649560738000 23432474341107000 46864948682214000
• Sum of all divisors σ(n): 180794557585649280
• Sum of proper divisors (its aliquot sum) s(n): 133929608903435280
• 46864948682214000 is an abundant number, because the sum of its proper divisors (133929608903435280) is greater than itself. Its abundance is 87064660221221280

Bases of 46864948682214000

• Binary: 10100110011111110110110000101010100111101100101001110000₂
• Hexadecimal: 0xA67F6C2A9ECA70
• Base-36: CTG8K7G9TO0

Squares and roots of 46864948682214000

• 46864948682214000 squared (46864948682214000²) is 2196323414986551735159941796000000
• 46864948682214000 cubed (46864948682214000³) is 102930584132889749999215849402971140416344000000000
• The square root of 46864948682214000 is 216483137.1775039665
• The cube root of 46864948682214000 is 360536.6191634577

Scales and comparisons

• 46,864,948,682,214,000 seconds is equal to 1,490,160,405 years, 15 weeks, 15 hours.
• To count from 1 to 46,864,948,682,214,000 would take you about four billion, four hundred seventy million, four hundred eighty-one thousand, two hundred fifteen 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 46864948682214000 cubic inches would be around 30044.7 feet tall.

Recreational maths with 46864948682214000

• 46864948682214000 backwards is 00041228684946864
• 46864948682214000 is a Harshad number.
• The number of decimal digits it has is: 17
• The sum of 46864948682214000's digits is 72
• More coming soon!