20988037517118480

Names of 20988037517118480

• Cardinal: 20988037517118480 can be written as Twenty quadrillion, nine hundred eighty-eight trillion, thirty-seven billion, five hundred seventeen million, one hundred eighteen thousand, four hundred eighty.

Scientific notation

• Scientific notation: 2.098803751711848 × 10¹⁶

Factors of 20988037517118480

• Number of distinct prime factors ω(n): 8
• Total number of prime factors Ω(n): 13
• Sum of prime factors: 40493

Divisors of 20988037517118480

• Number of divisors d(n): 1280
• Complete list of divisors:
  1 2 3 4 5 6 8 9 10 12 15 16 17 18 20 24 27 30 34 36 40 45 48 51 53 54 60 68 72 80 85 90 102 106 108 120 135 136 144 153 159 170 180 204 212 216 233 240 255 265 270 272 306 318 340 360 408 424 432 459 466 477 510 530 540 612 636 680 699 720 765 795 816 848 901 918 932 954 1020 1060 1080 1165 1187 1224 1272 1360 1398 1431 1530 1590 1802 1836 1864 1908 2040 2097 2120 2160 2295 2330 2374 2385 2448 2544 2703 2796 2862 3060 3180 3495 3561 3604 3672 3728 3816 3961 4080 4194 4240 4505 4590 4660 4748 4770 5406 5592 5724 5935 6120 6291 6360 6990 7122 7155 7208 7344 7632 7922 8109 8388 9010 9180 9320 9496 9540 10485 10683 10812 11184 11448 11870 11883 12240 12349 12582 12720 13515 13980 14244 14310 14416 15844 16218 16776 17805 18020 18360 18640 18992 19080 19805 20179 20970 21366 21624 22896 23740 23766 24327 24698 25164 27030 27960 28488 28620 31455 31688 32049 32436 33552 35610 35649 36040 36720 37047 38160 38993 39610 40358 40545 41940 42732 43248 47480 47532 48654 49396 50328 53415 54060 55920 56976 57240 59415 60537 61745 62910 62911 63376 64098 64872 71220 71298 72080 74094 77986 79220 80716 81090 83880 85464 94960 95064 97308 98792 100656 100895 106830 106947 108120 111141 114480 116979 118830 121074 121635 123490 125820 125822 128196 129744 142440 142596 148188 155972 158440 160245 161432 162180 167760 170928 178245 181611 185235 188733 190128 194616 194965 197584 201790 209933 213660 213894 216240 222282 233958 237660 242148 243270 246980 251640 251644 256392 276571 284880 285192 296376 302685 311944 314555 316880 320490 322864 324360 333423 350937 356490 363222 370470 377466 389232 389930 403580 419866 427320 427788 444564 467916 475320 484296 486540 493960 503280 503288 512784 534735 544833 553142 555705 566199 570384 584895 592752 605370 623888 629110 629799 640980 648720 662881 666846 701874 712980 726444 740940 754932 779860 807160 829713 839732 854640 855576 889128 908055 935832 943665 950640 968592 973080 987920 1006576 1049665 1052811 1069470 1069487 1089666 1106284 1111410 1132398 1169790 1210740 1258220 1259598 1281960 1325762 1333692 1382855 1403748 1425960 1452888 1481880 1509864 1559720 1614320 1659426 1667115 1679464 1698597 1711152 1754685 1778256 1816110 1871664 1887330 1889397 1946160 1988643 2066629 2099330 2105622 2138940 2138974 2179332 2212568 2222820 2264796 2339580 2421480 2489139 2516440 2519196 2563920 2651524 2667384 2724165 2765710 2807496 2830995 2851920 2905776 2963760 3019728 3119440 3148995 3208461 3314405 3318852 3334230 3358928 3397194 3509370 3632220 3774660 3778794 3977286 4133258 4148565 4198660 4211244 4277880 4277948 4358664 4425136 4445640 4529592 4679160 4701707 4842960 4978278 5032880 5038392 5264055 5303048 5334768 5347435 5448330 5531420 5614992 5661990 5668191 5965929 6199887 6297990 6416922 6628810 6637704 6668460 6794388 7018740 7264440 7467417 7549320 7557588 7954572 8266516 8297130 8397320 8422488 8492985 8555760 8555896 8717328 8891280 9059184 9085369 9358320 9403414 9446985 9625383 9943215 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212446731690 215686660060 220777976070 221019771663 245577524070 250215039546 258823992072 260023260780 264933571284 269125708680 283262308920 291176991081 294370634760 294693028884 323529990090 327436698760 331166964105 333614749680 333620052728 339914770704 346697681040 353244761712 366667322102 368366286105 375322559319 388235988108 392924038512 417025065910 424893463380 431373320120 441555952140 442039543326 485294985135 491155048140 500430079092 517647984144 520046521560 529867142568 538251417360 550000983153 566524617840 571569649159 582353982162 588741269520 589386057768 625537598865 647059980180 654873397520 662333928210 667240105456 733334644204 736732572210 750645118638 776471976216 834050131820 849786926760 862746640240 883111904280 884079086652 916668305255 970589970270 982310096280 1000860158184 1040093043120 1059734285136 1100001966306 1105098858315 1125967677957 1143139298318 1164707964324 1178772115536 1251075197730 1294119960360 1324667856420 1455884955405 1466669288408 1473465144420 1501290237276 1552943952432 1650002949459 1668100263640 1699573853520 1714708947477 1766223808560 1768158173304 1833336610510 1876612796595 1941179940540 1964620192560 2001720316368 2200003932612 2210197716630 2251935355914 2286278596636 2329415928648 2502150395460 2588239920720 2649335712840 2750004915765 2857848245795 2911769910810 2933338576816 2946930288840 3002580474552 3300005898918 3336200527280 3429417894954 3536316346608 3666673221020 3753225593190 3882359881080 4400007865224 4420395433260 4503870711828 4572557193272 4658831857296 4950008848377 5004300790920 5144126842431 5298671425680 5500009831530 5629838389785 5715696491590 5823539821620 5893860577680 6005160949104 6600011797836 6858835789908 7333346442040 7506451186380 7764719762160 8250014747295 8573544737385 8800015730448 8840790866520 9007741423656 9145114386544 9716684035703 9900017696754 10008601581840 10288253684862 11000019663060 11259676779570 11431392983180 11647079643240 13200023595672 13717671579816 14666692884080 15012902372760 15432380527293 16500029494590 17147089474770 17681581733040 18015482847312 19433368071406 19800035393508 20576507369724 22000039326120 22519353559140 22862785966360 23294159286480 24750044241885 25720634212155 26400047191344 27435343159632 29150052107109 30025804745520 30864761054586 33000058989180 34294178949540 38866736142812 39600070787016 41153014739448 44000078652240 45038707118280 45725571932720 48583420178515 49500088483770 51441268424310 58300104214218 61729522109172 66000117978360 68588357899080 77161902636465 77733472285624 79200141574032 82306029478896 87450156321327 90077414236560 97166840357030 99000176967540 102882536848620 116600208428436 123459044218344 132000235956720 137176715798160 145750260535545 154323805272930 155466944571248 174900312642654 194333680714060 198000353935080 205765073697240 233200416856872 246918088436688 262350468963981 291500521071090 308647610545860 349800625285308 388667361428120 396000707870160 411530147394480 437250781606635 466400833713744 524700937927962 583001042142180 617295221091720 699601250570616 777334722856240 874501563213270 1049401875855924 1166002084284360 1234590442183440 1311752344819905 1399202501141232 1749003126426540 2098803751711848 2332004168568720 2623504689639810 3498006252853080 4197607503423696 5247009379279620 6996012505706160 10494018758559240 20988037517118480
• Sum of all divisors σ(n): 78391556180720640
• Sum of proper divisors (its aliquot sum) s(n): 57403518663602160
• 20988037517118480 is an abundant number, because the sum of its proper divisors (57403518663602160) is greater than itself. Its abundance is 36415481146483680

Bases of 20988037517118480

• Binary: 1001010100100001000001001001000101111011000110000010000₂
• Hexadecimal: 0x4A908248BD8C10
• Base-36: 5QNMZBUMEC0

Squares and roots of 20988037517118480

• 20988037517118480 squared (20988037517118480²) is 440497718819972850659042357510400
• 20988037517118480 cubed (20988037517118480³) is 9245182648798697328279209558066485256194632192000
• The square root of 20988037517118480 is 144872487.0950950437
• The cube root of 20988037517118480 is 275840.0210477023

Scales and comparisons

• 20,988,037,517,118,480 seconds is equal to 667,354,672 years, 40 weeks, 4 days, 13 hours, 48 minutes.
• To count from 1 to 20,988,037,517,118,480 would take you about two billion, two million, sixty-four thousand and eighteen 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 20988037517118480 cubic inches would be around 22986.7 feet tall.

Recreational maths with 20988037517118480

• 20988037517118480 backwards is 08481171573088902
• 20988037517118480 is a Harshad number.
• The number of decimal digits it has is: 17
• The sum of 20988037517118480's digits is 72
• More coming soon!