228974437824320000

Names of 228974437824320000

• Cardinal: 228974437824320000 can be written as Two hundred twenty-eight quadrillion, nine hundred seventy-four trillion, four hundred thirty-seven billion, eight hundred twenty-four million, three hundred twenty thousand.

Scientific notation

• Scientific notation: 2.2897443782432 × 10¹⁷

Factors of 228974437824320000

• Number of distinct prime factors ω(n): 4
• Total number of prime factors Ω(n): 19
• Sum of prime factors: 237

Divisors of 228974437824320000

• Number of divisors d(n): 750
• Complete list of divisors:
  1 2 4 5 8 10 16 19 20 25 32 38 40 50 64 76 80 95 100 125 128 152 160 190 200 211 250 256 304 320 361 380 400 422 475 500 512 608 625 640 722 760 800 844 950 1000 1055 1216 1250 1280 1444 1520 1600 1688 1805 1900 2000 2110 2375 2432 2500 2560 2888 3040 3200 3376 3610 3800 4000 4009 4220 4750 4864 5000 5275 5776 6080 6400 6752 7220 7600 8000 8018 8440 9025 9500 9728 10000 10550 11552 11875 12160 12800 13504 14440 15200 16000 16036 16880 18050 19000 20000 20045 21100 23104 23750 24320 26375 27008 28880 30400 32000 32072 33760 36100 38000 40000 40090 42200 44521 45125 46208 47500 48640 52750 54016 57760 60800 64000 64144 67520 72200 76000 76171 80000 80180 84400 89042 90250 92416 95000 100225 105500 108032 115520 121600 128288 131875 135040 144400 152000 152342 160000 160360 168800 178084 180500 184832 190000 200450 211000 222605 225625 231040 243200 256576 263750 270080 288800 304000 304684 320000 320720 337600 356168 361000 380000 380855 400900 422000 445210 451250 462080 501125 513152 527500 540160 577600 608000 609368 641440 675200 712336 722000 760000 761710 801800 844000 845899 890420 902500 924160 1002250 1026304 1055000 1113025 1155200 1216000 1218736 1282880 1350400 1424672 1444000 1520000 1523420 1603600 1688000 1691798 1780840 1805000 1904275 2004500 2052608 2110000 2226050 2310400 2437472 2505625 2565760 2700800 2849344 2888000 3040000 3046840 3207200 3376000 3383596 3561680 3610000 3808550 4009000 4220000 4229495 4452100 4620800 4874944 5011250 5131520 5565125 5698688 5776000 6080000 6093680 6414400 6752000 6767192 7123360 7220000 7617100 8018000 8440000 8458990 8904200 9393931 9521375 9749888 10022500 10263040 11130250 11397376 11552000 12187360 12828800 13504000 13534384 14246720 14440000 15234200 16036000 16072081 16880000 16917980 17808400 18787862 19042750 19499776 20045000 21147475 22260500 22794752 23104000 24374720 25657600 27068768 27825625 28493440 28880000 30468400 32072000 32144162 33760000 33835960 35616800 37575724 38085500 38999552 40090000 42294950 44521000 46969655 47606875 48749440 51315200 54137536 55651250 56986880 57760000 60936800 64144000 64288324 67520000 67671920 71233600 75151448 76171000 80180000 80360405 84589900 89042000 93939310 95213750 97498880 105737375 108275072 111302500 113973760 115520000 121873600 128288000 128576648 135343840 142467200 150302896 152342000 160360000 160720810 169179800 178084000 178484689 187878620 190427500 194997760 211474750 216550144 222605000 234848275 243747200 256576000 257153296 270687680 284934400 300605792 304684000 320720000 321441620 338359600 356168000 356969378 375757240 380855000 401802025 422949500 433100288 445210000 469696550 487494400 514306592 528686875 541375360 569868800 601211584 609368000 641440000 642883240 676719200 712336000 713938756 751514480 761710000 803604050 845899000 890420000 892423445 939393100 974988800 1028613184 1057373750 1082750720 1174241375 1202423168 1218736000 1282880000 1285766480 1353438400 1424672000 1427877512 1503028960 1523420000 1607208100 1691798000 1780840000 1784846890 1878786200 1982119441 2009010125 2057226368 2114747500 2165501440 2348482750 2404846336 2437472000 2571532960 2706876800 2849344000 2855755024 3006057920 3046840000 3214416200 3383596000 3391209091 3561680000 3569693780 3757572400 3964238882 4018020250 4114452736 4229495000 4462117225 4696965500 4809692672 4874944000 5143065920 5413753600 5711510048 5871206875 6012115840 6093680000 6428832400 6767192000 6782418182 7123360000 7139387560 7515144800 7928477764 8036040500 8228905472 8458990000 8924234450 9393931000 9910597205 10045050625 10286131840 10827507200 11423020096 11742413750 12024231680 12187360000 12857664800 13534384000 13564836364 14246720000 14278775120 15030289600 15856955528 16072081000 16917980000 16956045455 17848468900 18787862000 19821194410 20090101250 20572263680 22310586125 22846040192 23484827500 24048463360 24374720000 25715329600 27068768000 27129672728 28557550240 30060579200 31713911056 32144162000 33835960000 33912090910 35696937800 37575724000 37660269379 39642388820 40180202500 41144527360 44621172250 45692080384 46969655000 49552986025 51430659200 54137536000 54259345456 57115100480 60121158400 63427822112 64288324000 67671920000 67824181820 71393875600 75151448000 75320538758 79284777640 80360405000 84780227275 89242344500 91384160768 93939310000 99105972050 102861318400 108518690912 111552930625 114230200960 120242316800 126855644224 128576648000 135343840000 135648363640 142787751200 150302896000 150641077516 158569555280 160720810000 169560454550 178484689000 187878620000 188301346895 198211944100 205722636800 217037381824 223105861250 228460401920 247764930125 253711288448 257153296000 270687680000 271296727280 285575502400 300605792000 301282155032 317139110560 321441620000 339120909100 356969378000 375757240000 376602693790 396423888200 423901136375 434074763648 446211722500 456920803840 495529860250 507422576896 514306592000 542593454560 571151004800 601211584000 602564310064 634278221120 642883240000 678241818200 713938756000 715545118201 751514480000 753205387580 792847776400 847802272750 868149527296 892423445000 941506734475 991059720500 1014845153792 1028613184000 1085186909120 1142302009600 1205128620128 1238824650625 1268556442240 1285766480000 1356483636400 1427877512000 1431090236402 1503028960000 1506410775160 1585695552800 1695604545500 1736299054592 1784846890000 1883013468950 1982119441000 2119505681875 2170373818240 2284604019200 2410257240256 2477649301250 2537112884480 2571532960000 2712967272800 2855755024000 2862180472804 3006057920000 3012821550320 3171391105600 3391209091000 3569693780000 3577725591005 3766026937900 3964238882000 4239011363750 4340747636480 4707533672375 4820514480512 4955298602500 5074225768960 5143065920000 5425934545600 5711510048000 5724360945608 6025643100640 6342782211200 6782418182000 7139387560000 7155451182010 7532053875800 7928477764000 8478022727500 8681495272960 9415067344750 9641028961024 9910597205000 10851869091200 11423020096000 11448721891216 12051286201280 12685564422400 13564836364000 14278775120000 14310902364020 15064107751600 15856955528000 16956045455000 17888627955025 18830134689500 19282057922048 19821194410000 21703738182400 22897443782432 23537668361875 24102572402560 25371128844800 27129672728000 28557550240000 28621804728040 30128215503200 31713911056000 33912090910000 35777255910050 37660269379000 39642388820000 43407476364800 45794887564864 47075336723750 48205144805120 54259345456000 57115100480000 57243609456080 60256431006400 63427822112000 67824181820000 71554511820100 75320538758000 79284777640000 89443139775125 91589775129728 94150673447500 96410289610240 108518690912000 114487218912160 120512862012800 126855644224000 135648363640000 143109023640200 150641077516000 158569555280000 178886279550250 183179550259456 188301346895000 217037381824000 228974437824320 241025724025600 271296727280000 286218047280400 301282155032000 317139110560000 357772559100500 366359100518912 376602693790000 447215698875625 457948875648640 482051448051200 542593454560000 572436094560800 602564310064000 634278221120000 715545118201000 753205387580000 894431397751250 915897751297280 1085186909120000 1144872189121600 1205128620128000 1431090236402000 1506410775160000 1788862795502500 1831795502594560 2289744378243200 2410257240256000 2862180472804000 3012821550320000 3577725591005000 4579488756486400 5724360945608000 6025643100640000 7155451182010000 9158977512972800 11448721891216000 12051286201280000 14310902364020000 22897443782432000 28621804728040000 45794887564864000 57243609456080000 114487218912160000 228974437824320000
• Sum of all divisors σ(n): 606240051771388815
• Sum of proper divisors (its aliquot sum) s(n): 377265613947068815
• 228974437824320000 is an abundant number, because the sum of its proper divisors (377265613947068815) is greater than itself. Its abundance is 148291176122748815

Bases of 228974437824320000

• Binary: 1100101101011110110000100110111101001010011101001000000000₂
• Hexadecimal: 0x32D7B09BD29D200
• Base-36: 1QMKNWKVT5VK

Squares and roots of 228974437824320000

• 228974437824320000 squared (228974437824320000²) is 52429293176963385495183462400000000
• 228974437824320000 cubed (228974437824320000³) is 12004967930721647515008057446140300525568000000000000
• The square root of 228974437824320000 is 478512735.2791354913
• The cube root of 228974437824320000 is 611780.5521896927

Scales and comparisons

• 228,974,437,824,320,000 seconds is equal to 7,280,678,858 years, 19 weeks, 3 days, 3 hours, 33 minutes, 20 seconds.
• To count from 1 to 228,974,437,824,320,000 would take you about twenty-one billion, eight hundred forty-two million, thirty-six thousand, five hundred seventy-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 228974437824320000 cubic inches would be around 50981.7 feet tall.

Recreational maths with 228974437824320000

• 228974437824320000 backwards is 000023428734479822
• The number of decimal digits it has is: 18
• The sum of 228974437824320000's digits is 65
• More coming soon!