40964961640055040
40,964,961,640,055,040 is an even composite number composed of six prime numbers multiplied together.
What does the number 40964961640055040 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 576 divisors.
40964961640055040 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 40964961640055040:
28 × 33 × 5 × 7 × 524947 × 322571
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 5 × 7 × 524947 × 322571)See below for interesting mathematical facts about the number 40964961640055040 from the Numbermatics database.
Names of 40964961640055040
- Cardinal: 40964961640055040 can be written as Forty quadrillion, nine hundred sixty-four trillion, nine hundred sixty-one billion, six hundred forty million, fifty-five thousand and forty.
Scientific notation
- Scientific notation: 4.096496164005504 × 1016
Factors of 40964961640055040
Divisors of 40964961640055040
- Number of divisors d(n): 576
-
Complete list of divisors:
1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 20 21 24 27 28 30 32 35 36 40 42 45 48 54 56 60 63 64 70 72 80 84 90 96 105 108 112 120 126 128 135 140 144 160 168 180 189 192 210 216 224 240 252 256 270 280 288 315 320 336 360 378 384 420 432 448 480 504 540 560 576 630 640 672 720 756 768 840 864 896 945 960 1008 1080 1120 1152 1260 1280 1344 1440 1512 1680 1728 1792 1890 1920 2016 2160 2240 2304 2520 2688 2880 3024 3360 3456 3780 3840 4032 4320 4480 5040 5376 5760 6048 6720 6912 7560 8064 8640 8960 10080 11520 12096 13440 15120 16128 17280 20160 24192 26880 30240 34560 40320 48384 60480 80640 120960 241920 322571 524947 645142 967713 1049894 1290284 1574841 1612855 1935426 2099788 2257997 2580568 2624735 2903139 3149682 3225710 3674629 3870852 4199576 4515994 4724523 4838565 5161136 5249470 5806278 6299364 6451420 6773991 7349258 7741704 7874205 8399152 8709417 9031988 9449046 9677130 10322272 10498940 11023887 11289985 11612556 12598728 12902840 13547982 14173569 14515695 14698516 15483408 15748410 16798304 17418834 18063976 18373145 18898092 19354260 20321973 20644544 20997880 22047774 22579970 23225112 23622615 25197456 25805680 27095964 28347138 29031390 29397032 30966816 31496820 33071661 33596608 33869955 34837668 36127952 36746290 37796184 38708520 40643946 41289088 41995760 43547085 44095548 45159940 46450224 47245230 50394912 51611360 54191928 55119435 56694276 58062780 58794064 60965919 61933632 62993640 66143322 67193216 67739910 69675336 70867845 72255904 73492580 75592368 77417040 81287892 82578176 83991520 87094170 88191096 90319880 92900448 94490460 99214983 100789824 101609865 103222720 108383856 110238870 113388552 116125560 117588128 121931838 123867264 125987280 132286644 134386432 135479820 139350672 141735690 144511808 146985160 151184736 154834080 162575784 165358305 167983040 174188340 176382192 180639760 185800896 188980920 198429966 201579648 203219730 206445440 216767712 220477740 226777104 232251120 235176256 243863676 247734528 251974560 264573288 270959640 278701344 283471380 289023616 293970320 302369472 304829595 309668160 325151568 330716610 335966080 348376680 352764384 361279520 371601792 377961840 396859932 403159296 406439460 412890880 433535424 440955480 453554208 464502240 470352512 487727352 496074915 503949120 529146576 541919280 557402688 566942760 578047232 587940640 604738944 609659190 619336320 650303136 661433220 671932160 696753360 705528768 722559040 743203584 755923680 793719864 812878920 867070848 881910960 907108416 929004480 940705024 975454704 992149830 1007898240 1058293152 1083838560 1114805376 1133885520 1175881280 1209477888 1219318380 1238672640 1300606272 1322866440 1393506720 1411057536 1445118080 1511847360 1587439728 1625757840 1734141696 1763821920 1814216832 1858008960 1950909408 1984299660 2015796480 2116586304 2167677120 2229610752 2267771040 2351762560 2438636760 2601212544 2645732880 2787013440 2822115072 2890236160 3023694720 3174879456 3251515680 3527643840 3628433664 3716017920 3901818816 3968599320 4233172608 4335354240 4535542080 4703525120 4877273520 5202425088 5291465760 5574026880 6047389440 6349758912 6503031360 7055287680 7803637632 7937198640 8466345216 8670708480 9071084160 9754547040 10582931520 11148053760 12699517824 13006062720 14110575360 15607275264 15874397280 18142168320 19509094080 21165863040 25399035648 26012125440 31748794560 39018188160 42331726080 63497589120 78036376320 126995178240 169332678737 338665357474 507998036211 677330714948 846663393685 1015996072422 1185328751159 1354661429896 1523994108633 1693326787370 2031992144844 2370657502318 2539990181055 2709322859792 3047988217266 3386653574740 3555986253477 4063984289688 4571982325899 4741315004636 5079980362110 5418645719584 5926643755795 6095976434532 6773307149480 7111972506954 7619970543165 8127968579376 9143964651798 9482630009272 10159960724220 10667958760431 10837291439168 11853287511590 12191952869064 13546614298960 14223945013908 15239941086330 16255937158752 17779931267385 18287929303596 18965260018544 20319921448440 21335917520862 21674582878336 22859911629495 23706575023180 24383905738128 27093228597920 28447890027816 30479882172660 32003876281293 32511874317504 35559862534770 36575858607192 37930520037088 40639842896880 42671835041724 43349165756672 45719823258990 47413150046360 48767811476256 53339793802155 54186457195840 56895780055632 60959764345320 64007752562586 65023748635008 71119725069540 73151717214384 75861040074176 81279685793760 85343670083448 91439646517980 94826300092720 97535622952512 106679587604310 108372914391680 113791560111264 121919528690640 128015505125172 130047497270016 142239450139080 146303434428768 151722080148352 160019381406465 162559371587520 170687340166896 182879293035960 189652600185440 195071245905024 213359175208620 216745828783360 227583120222528 243839057381280 256031010250344 284478900278160 292606868857536 303444160296704 320038762812930 325118743175040 341374680333792 365758586071920 379305200370880 390142491810048 426718350417240 455166240445056 487678114762560 512062020500688 568957800556320 585213737715072 640077525625860 650237486350080 682749360667584 731517172143840 758610400741760 853436700834480 910332480890112 975356229525120 1024124041001376 1137915601112640 1170427475430144 1280155051251720 1365498721335168 1463034344287680 1517220801483520 1706873401668960 1950712459050240 2048248082002752 2275831202225280 2560310102503440 2730997442670336 2926068688575360 3413746803337920 4096496164005504 4551662404450560 5120620205006880 5852137377150720 6827493606675840 8192992328011008 10241240410013760 13654987213351680 20482480820027520 40964961640055040
- Sum of all divisors σ(n): 166136509280286720
- Sum of proper divisors (its aliquot sum) s(n): 125171547640231680
- 40964961640055040 is an abundant number, because the sum of its proper divisors (125171547640231680) is greater than itself. Its abundance is 84206586000176640
Bases of 40964961640055040
- Binary: 100100011000100101101010011000101100101100000001000000002
- Hexadecimal: 0x91896A62CB0100
- Base-36: B7CV7KSITC0
Squares and roots of 40964961640055040
- 40964961640055040 squared (409649616400550402) is 1678128082171180912577334229401600
- 40964961640055040 cubed (409649616400550403) is 68744452513241558166873392038323760630610264064000
-
The
square root of 40964961640055040 is 202398027.7573253429 -
The
cube root of 40964961640055040 is 344723.4685012759
Scales and comparisons
How big is 40964961640055040?- 40,964,961,640,055,040 seconds is equal to 1,302,559,067 years, 10 weeks, 5 days, 14 hours, 24 minutes.
-
To count from 1 to 40,964,961,640,055,040 would take you about three billion, nine hundred seven million, six hundred seventy-seven thousand, two hundred one 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 40964961640055040 cubic inches would be around 28727 feet tall.
Recreational maths with 40964961640055040
- 40964961640055040 backwards is 04055004616946904
- 40964961640055040 is a
Harshad number . - The number of decimal digits it has is: 17
- The sum of 40964961640055040's digits is 63
- More coming soon!
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