21983375816816000

Names of 21983375816816000

• Cardinal: 21983375816816000 can be written as Twenty-one quadrillion, nine hundred eighty-three trillion, three hundred seventy-five billion, eight hundred sixteen million, eight hundred sixteen thousand.

Scientific notation

• Scientific notation: 2.1983375816816 × 10¹⁶

Factors of 21983375816816000

• Number of distinct prime factors ω(n): 4
• Total number of prime factors Ω(n): 15
• Sum of prime factors: 569

Divisors of 21983375816816000

• Number of divisors d(n): 384
• Complete list of divisors:
  1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 128 131 160 200 250 262 320 400 431 500 524 640 655 800 862 1000 1048 1310 1600 1724 2000 2096 2155 2620 3200 3275 3448 4000 4192 4310 5240 6550 6896 8000 8384 8620 10480 10775 13100 13792 16000 16375 16768 17161 17240 20960 21550 26200 27584 32750 34322 34480 41920 43100 52400 53875 55168 56461 65500 68644 68960 83840 85805 86200 104800 107750 112922 131000 137288 137920 171610 172400 185761 209600 215500 225844 262000 274576 275840 282305 343220 344800 371522 419200 429025 431000 451688 524000 549152 564610 686440 689600 743044 858050 862000 903376 928805 1048000 1098304 1129220 1372880 1379200 1411525 1486088 1716100 1724000 1806752 1857610 2096000 2145125 2196608 2258440 2745760 2823050 2972176 3432200 3448000 3613504 3715220 4290250 4516880 4644025 5491520 5646100 5944352 6864400 6896000 7057625 7227008 7396391 7430440 8580500 9033760 9288050 10983040 11292200 11888704 13728800 14115250 14792782 14860880 17161000 18067520 18576100 22584400 23220125 23777408 24334691 27457600 28230500 29585564 29721760 34322000 36135040 36981955 37152200 45168800 46440250 48669382 54915200 56461000 59171128 59443520 68644000 73963910 74304400 80062991 90337600 92880500 97338764 112922000 118342256 118887040 121673455 137288000 147927820 148608800 160125982 180675200 184909775 185761000 194677528 225844000 236684512 243346910 274576000 295855640 297217600 320251964 369819550 371522000 389355056 400314955 451688000 473369024 486693820 591711280 594435200 608367275 640503928 739639100 743044000 778710112 800629910 903376000 924548875 946738048 973387640 1183422560 1216734550 1281007856 1479278200 1486088000 1557420224 1601259820 1849097750 1946775280 2001574775 2366845120 2433469100 2562015712 2958556400 2972176000 3041836375 3114840448 3187844521 3202519640 3698195500 3893550560 4003149550 4733690240 4866938200 5124031424 5917112800 6083672750 6375689042 6405039280 7396391000 7787101120 8006299100 9733876400 10007873875 10248062848 10488251821 11834225600 12167345500 12751378084 12810078560 14792782000 15574202240 15939222605 16012598200 19467752800 20015747750 20976503642 23668451200 24334691000 25502756168 25620157120 29585564000 31878445210 32025196400 38935505600 40031495500 41953007284 48669382000 51005512336 51240314240 52441259105 59171128000 63756890420 64050392800 77871011200 79696113025 80062991000 83906014568 97338764000 102011024672 104882518210 118342256000 127513780840 128100785600 159392226050 160125982000 167812029136 194677528000 204022049344 209765036420 255027561680 256201571200 262206295525 318784452100 320251964000 335624058272 389355056000 398480565125 408044098688 419530072840 510055123360 524412591050 637568904200 640503928000 671248116544 796961130250 839060145680 1020110246720 1048825182100 1275137808400 1281007856000 1311031477625 1342496233088 1373960988551 1593922260500 1678120291360 2040220493440 2097650364200 2550275616800 2622062955250 2747921977102 3187844521000 3356240582720 4195300728400 5100551233600 5244125910500 5495843954204 6375689042000 6712481165440 6869804942755 8390601456800 10201102467200 10488251821000 10991687908408 12751378084000 13739609885510 16781202913600 20976503642000 21983375816816 25502756168000 27479219771020 33562405827200 34349024713775 41953007284000 43966751633632 51005512336000 54958439542040 68698049427550 83906014568000 87933503267264 109916879084080 137396098855100 167812029136000 171745123568875 175867006534528 219833758168160 274792197710200 343490247137750 439667516336320 549584395420400 686980494275500 879335032672640 1099168790840800 1373960988551000 2198337581681600 2747921977102000 4396675163363200 5495843954204000 10991687908408000 21983375816816000
• Sum of all divisors σ(n): 55204660745919360
• Sum of proper divisors (its aliquot sum) s(n): 33221284929103360
• 21983375816816000 is an abundant number, because the sum of its proper divisors (33221284929103360) is greater than itself. Its abundance is 11237909112287360

Bases of 21983375816816000

• Binary: 1001110000110011100001110001010100001100111010110000000₂
• Hexadecimal: 0x4E19C38A867580
• Base-36: 60GGFFJDZSW

Squares and roots of 21983375816816000

• 21983375816816000 squared (21983375816816000²) is 483268812303370535188377856000000
• 21983375816816000 cubed (21983375816816000³) is 10623879921411306429386713120574046826496000000000
• The square root of 21983375816816000 is 148267919.0412275261
• The cube root of 21983375816816000 is 280133.3370759937

Scales and comparisons

• 21,983,375,816,816,000 seconds is equal to 699,003,351 years, 48 weeks, 2 days, 53 minutes, 20 seconds.
• To count from 1 to 21,983,375,816,816,000 would take you about two billion, ninety-seven million, ten thousand and fifty-five 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 21983375816816000 cubic inches would be around 23344.4 feet tall.

Recreational maths with 21983375816816000

• 21983375816816000 backwards is 00061861857338912
• The number of decimal digits it has is: 17
• The sum of 21983375816816000's digits is 68
• More coming soon!