42241334334539849600
42,241,334,334,539,849,600 is an even composite number composed of six prime numbers multiplied together.
42241334334539849600 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of five hundred seventy-six divisors.
Prime factorization of 42241334334539849600:
27 × 52 × 72 × 13 × 19 × 1090673137201
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 7 × 7 × 13 × 19 × 1090673137201)See below for interesting mathematical facts about the number 42241334334539849600 from the Numbermatics database.
Names of 42241334334539849600
- Cardinal: 42241334334539849600 can be written as Forty-two quintillion, two hundred forty-one quadrillion, three hundred thirty-four trillion, three hundred thirty-four billion, five hundred thirty-nine million, eight hundred forty-nine thousand, six hundred.
Scientific notation
- Scientific notation: 4.22413343345398496 × 1019
Factors of 42241334334539849600
- Number of distinct prime factors ω(n): 6
- Total number of prime factors Ω(n): 14
- Sum of prime factors: 1090673137247
Divisors of 42241334334539849600
- Number of divisors d(n): 576
-
Complete list of divisors:
1 2 4 5 7 8 10 13 14 16 19 20 25 26 28 32 35 38 40 49 50 52 56 64 65 70 76 80 91 95 98 100 104 112 128 130 133 140 152 160 175 182 190 196 200 208 224 245 247 260 266 280 304 320 325 350 364 380 392 400 416 448 455 475 490 494 520 532 560 608 637 640 650 665 700 728 760 784 800 832 896 910 931 950 980 988 1040 1064 1120 1216 1225 1235 1274 1300 1330 1400 1456 1520 1568 1600 1664 1729 1820 1862 1900 1960 1976 2080 2128 2240 2275 2432 2450 2470 2548 2600 2660 2800 2912 3040 3136 3185 3200 3325 3458 3640 3724 3800 3920 3952 4160 4256 4480 4550 4655 4900 4940 5096 5200 5320 5600 5824 6080 6175 6272 6370 6650 6916 7280 7448 7600 7840 7904 8320 8512 8645 9100 9310 9800 9880 10192 10400 10640 11200 11648 12103 12160 12350 12740 13300 13832 14560 14896 15200 15680 15808 15925 17024 17290 18200 18620 19600 19760 20384 20800 21280 22400 23275 24206 24700 25480 26600 27664 29120 29792 30400 31360 31616 31850 34580 36400 37240 39200 39520 40768 41600 42560 43225 46550 48412 49400 50960 53200 55328 58240 59584 60515 60800 63700 69160 72800 74480 78400 79040 81536 85120 86450 93100 96824 98800 101920 106400 110656 119168 121030 127400 138320 145600 148960 156800 158080 172900 186200 193648 197600 203840 212800 221312 242060 254800 276640 291200 297920 302575 345800 372400 387296 395200 407680 425600 484120 509600 553280 595840 605150 691600 744800 774592 790400 968240 1019200 1106560 1210300 1383200 1489600 1549184 1936480 2038400 2420600 2766400 2979200 3872960 4841200 5532800 7745920 9682400 19364800 38729600 1090673137201 2181346274402 4362692548804 5453365686005 7634711960407 8725385097608 10906731372010 14178750783613 15269423920814 17450770195216 20722789606819 21813462744020 27266828430025 28357501567226 30538847841628 34901540390432 38173559802035 41445579213638 43626925488040 53442983722849 54533656860050 56715003134452 61077695683256 69803080780864 70893753918065 76347119604070 82891158427276 87253850976080 99251255485291 103613948034095 106885967445698 109067313720100 113430006268904 122155391366512 139606161561728 141787507836130 145059527247733 152694239208140 165782316854552 174507701952160 190867799010175 198502510970582 207227896068190 213771934891396 218134627440200 226860012537808 244310782733024 267214918614245 269396264888647 283575015672260 290119054495466 305388478416280 331564633709104 349015403904320 354468769590325 381735598020350 397005021941164 414455792136380 427543869782792 436269254880400 453720025075616 488621565466048 496256277426455 518069740170475 534429837228490 538792529777294 567150031344520 580238108990932 610776956832560 663129267418208 694758788397037 698030807808640 708937539180650 725297636238665 763471196040700 794010043882328 828911584272760 855087739565584 872538509760800 907440050151232 977243130932096 992512554852910 1015416690734131 1036139480340950 1068859674456980 1077585059554588 1134300062689040 1160476217981864 1221553913665120 1326258534836416 1336074593071225 1346981324443235 1389517576794074 1417875078361300 1450595272477330 1526942392081400 1588020087764656 1657823168545520 1710175479131168 1745077019521600 1814880100302464 1885773854220529 1985025109705820 2030833381468262 2072278960681900 2137719348913960 2155170119109176 2268600125378080 2320952435963728 2443107827330240 2481281387132275 2652517069672832 2672149186142450 2693962648886470 2779035153588148 2835750156722600 2901190544954660 3053884784162800 3176040175529312 3315646337091040 3420350958262336 3473793941985185 3490154039043200 3626488181193325 3771547708441058 3970050219411640 4061666762936524 4144557921363800 4275438697827920 4310340238218352 4537200250756160 4641904871927456 4886215654660480 4962562774264550 5077083453670655 5344298372284900 5387925297772940 5558070307176296 5671500313445200 5802381089909320 6107769568325600 6352080351058624 6631292674182080 6734906622216175 6840701916524672 6947587883970370 7252976362386650 7543095416882116 7940100438823280 8123333525873048 8289115842727600 8550877395655840 8620680476436704 9074400501512320 9283809743854912 9428869271102645 9925125548529100 10154166907341310 10688596744569800 10775850595545880 11116140614352592 11343000626890400 11604762179818640 12215539136651200 12704160702117248 13200416979543703 13262585348364160 13469813244432350 13895175767940740 14505952724773300 15086190833764232 15880200877646560 16246667051746096 16578231685455200 17101754791311680 17241360952873408 17368969709925925 18567619487709824 18857738542205290 19850251097058200 20308333814682620 21377193489139600 21551701191091760 22232281228705184 22686001253780800 23209524359637280 24431078273302400 25385417268353275 26400833959087406 26939626488864700 27790351535881480 29011905449546600 30172381667528464 31760401755293120 32493334103492192 33156463370910400 34203509582623360 34482721905746816 34737939419851850 37715477084410580 39700502194116400 40616667629365240 42754386978279200 43103402382183520 44464562457410368 45372002507561600 46419048719274560 47144346355513225 50770834536706550 52801667918174812 53879252977729400 55580703071762960 58023810899093200 60344763335056928 63520803510586240 64986668206984384 66002084897718515 66312926741820800 69475878839703700 75430954168821160 79401004388232800 81233335258730480 85508773956558400 86206804764367040 88929124914820736 92838097438549120 94288692711026450 101541669073413100 105603335836349624 107758505955458800 111161406143525920 116047621798186400 120689526670113856 129973336413968768 132004169795437030 138951757679407400 150861908337642320 158802008776465600 162466670517460960 171017547913116800 172413609528734080 188577385422052900 203083338146826200 211206671672699248 215517011910917600 222322812287051840 232095243596372800 241379053340227712 264008339590874060 277903515358814800 301723816675284640 317604017552931200 324933341034921920 330010424488592575 377154770844105800 406166676293652400 422413343345398496 431034023821835200 444645624574103680 464190487192745600 528016679181748120 555807030717629600 603447633350569280 649866682069843840 660020848977185150 754309541688211600 812333352587304800 844826686690796992 862068047643670400 1056033358363496240 1111614061435259200 1206895266701138560 1320041697954370300 1508619083376423200 1624666705174609600 1689653373381593984 2112066716726992480 2223228122870518400 2640083395908740600 3017238166752846400 3249333410349219200 4224133433453984960 5280166791817481200 6034476333505692800 8448266866907969920 10560333583634962400 21120667167269924800 42241334334539849600
- Sum of all divisors σ(n): 137603467547325687600
- Sum of proper divisors (its aliquot sum) s(n): 95362133212785838000
- 42241334334539849600 is an abundant number, because the sum of its proper divisors (95362133212785838000) is greater than itself. Its abundance is 53120798878245988400
Bases of 42241334334539849600
- Binary: 1001001010001101110101110111000101111010001100001001011111100000002
- Hexadecimal: 0x24A375DC5E8C25F80
- Base-36: 8WXH3BENGI6WW
Squares and roots of 42241334334539849600
- 42241334334539849600 squared (422413343345398496002) is 1784330326362375158443643770390620160000
- 42241334334539849600 cubed (422413343345398496003) is 75372493879131693119108777286602253668148441577127936000000
-
The
square root of 42241334334539849600 is 6499333376.1655779215 -
The
cube root of 42241334334539849600 is 3482671.7474869729
Scales and comparisons
How big is 42241334334539849600?- 42,241,334,334,539,849,600 seconds is equal to 293,274,701,009 years, 3 weeks, 3 days, 15 hours, 30 minutes, 7 seconds.
-
To count from 1 to 42,241,334,334,539,849,600 would take you about two hundred ninety-three billion, two hundred seventy-four million, seven hundred one thousand and nine 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 42241334334539849600 cubic inches would be around 290222.6 feet tall.
Recreational maths with 42241334334539849600
- 42241334334539849600 backwards is 00694893543343314224
- The number of decimal digits it has is: 20
- The sum of 42241334334539849600's digits is 77
- More coming soon!
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The information we have on file for 42241334334539849600 includes mathematical data and numerical statistics calculated using standard algorithms and methods. We are adding more all the time. If there are any features you would like to see, please contact us. Information provided for educational use, intellectual curiosity and fun!
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