40506368462071200
40,506,368,462,071,200 is an even composite number composed of six prime numbers multiplied together.
What does the number 40506368462071200 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 576 divisors.
40506368462071200 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 40506368462071200:
25 × 33 × 52 × 13 × 73 × 1976074643
(2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 5 × 5 × 13 × 73 × 1976074643)See below for interesting mathematical facts about the number 40506368462071200 from the Numbermatics database.
Names of 40506368462071200
- Cardinal: 40506368462071200 can be written as Forty quadrillion, five hundred six trillion, three hundred sixty-eight billion, four hundred sixty-two million, seventy-one thousand, two hundred.
Scientific notation
- Scientific notation: 4.05063684620712 × 1016
Factors of 40506368462071200
- Number of distinct prime factors ω(n): 6
- Total number of prime factors Ω(n): 13
- Sum of prime factors: 1976074739
Divisors of 40506368462071200
- Number of divisors d(n): 576
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 13 15 16 18 20 24 25 26 27 30 32 36 39 40 45 48 50 52 54 60 65 72 73 75 78 80 90 96 100 104 108 117 120 130 135 144 146 150 156 160 180 195 200 208 216 219 225 234 240 260 270 288 292 300 312 325 351 360 365 390 400 416 432 438 450 468 480 520 540 584 585 600 624 650 657 675 702 720 730 780 800 864 876 900 936 949 975 1040 1080 1095 1168 1170 1200 1248 1300 1314 1350 1404 1440 1460 1560 1752 1755 1800 1825 1872 1898 1950 1971 2080 2160 2190 2336 2340 2400 2600 2628 2700 2808 2847 2920 2925 3120 3285 3504 3510 3600 3650 3744 3796 3900 3942 4320 4380 4680 4745 5200 5256 5400 5475 5616 5694 5840 5850 6240 6570 7008 7020 7200 7300 7592 7800 7884 8541 8760 8775 9360 9490 9855 10400 10512 10800 10950 11232 11388 11680 11700 13140 14040 14235 14600 15184 15600 15768 16425 17082 17520 17550 18720 18980 19710 21024 21600 21900 22776 23400 23725 25623 26280 28080 28470 29200 30368 31200 31536 32850 34164 35040 35100 37960 39420 42705 43800 45552 46800 47450 49275 51246 52560 56160 56940 58400 63072 65700 68328 70200 71175 75920 78840 85410 87600 91104 93600 94900 98550 102492 105120 113880 128115 131400 136656 140400 142350 151840 157680 170820 175200 189800 197100 204984 213525 227760 256230 262800 273312 280800 284700 315360 341640 379600 394200 409968 427050 455520 512460 525600 569400 640575 683280 759200 788400 819936 854100 1024920 1138800 1281150 1366560 1576800 1708200 2049840 2277600 2562300 3416400 4099680 5124600 6832800 10249200 20498400 1976074643 3952149286 5928223929 7904298572 9880373215 11856447858 15808597144 17784671787 19760746430 23712895716 25688970359 29641119645 31617194288 35569343574 39521492860 47425791432 49401866075 51377940718 53354015361 59282239290 63234388576 71138687148 77066911077 79042985720 88923358935 94851582864 98803732150 102755881436 106708030722 118564478580 128444851795 142277374296 144253448939 148205598225 154133822154 158085971440 177846717870 189703165728 197607464300 205511762872 213416061444 231200733231 237128957160 256889703590 266770076805 284554748592 288506897878 296411196450 308267644308 316171942880 355693435740 385334555385 395214928600 411023525744 426832122888 432760346817 444616794675 462401466462 474257914320 513779407180 533540153610 569109497184 577013795756 592822392900 616535288616 642224258975 693602199693 711386871480 721267244695 770669110770 790429857200 822047051488 853664245776 865520693634 889233589350 924802932924 948515828640 1027558814360 1067080307220 1154027591512 1156003666155 1185644785800 1233070577232 1284448517950 1298281040451 1333850384025 1387204399386 1422773742960 1442534489390 1541338221540 1580859714400 1707328491552 1731041387268 1778467178700 1849605865848 1875294836207 1926672776925 2055117628720 2134160614440 2163801734085 2308055183024 2312007332310 2371289571600 2466141154464 2568897035900 2596562080902 2667700768050 2774408798772 2845547485920 2885068978780 3082676443080 3462082774536 3468010998465 3556934357400 3606336223475 3699211731696 3750589672414 3853345553850 3894843121353 4110235257440 4268321228880 4327603468170 4616110366048 4624014664620 4742579143200 5137794071800 5193124161804 5335401536100 5548817597544 5625884508621 5770137957560 5780018330775 6165352886160 6491405202255 6924165549072 6936021996930 7113868714800 7212672446950 7398423463392 7501179344828 7706691107700 7789686242706 8536642457760 8655206936340 9248029329240 9376474181035 10275588143600 10386248323608 10670803072200 10819008670425 11097635195088 11251769017242 11540275915120 11560036661550 12330705772320 12982810404510 13848331098144 13872043993860 14227737429600 14425344893900 15002358689656 15413382215400 15579372485412 16877653525863 17310413872680 17340054992325 18496058658480 18752948362070 19474215606765 20551176287200 20772496647216 21341606144400 21638017340850 22195270390176 22503538034484 23080551830240 23120073323100 25965620809020 27744087987720 28129422543105 28850689787800 30004717379312 30826764430800 31158744970824 32457026011275 33755307051726 34620827745360 34680109984650 36992117316960 37505896724140 38948431213530 41544993294432 42683212288800 43276034681700 45007076068968 46240146646200 46882370905175 50632960577589 51931241618040 55488175975440 56258845086210 57701379575600 60009434758624 61653528861600 62317489941648 64914052022550 67510614103452 69241655490720 69360219969300 75011793448280 77896862427060 84388267629315 86552069363400 90014152137936 92480293292400 93764741810350 97371078033825 101265921155178 103862483236080 110976351950880 112517690172420 115402759151200 124634979883296 129828104045100 135021228206904 138720439938600 140647112715525 150023586896560 155793724854120 168776535258630 173104138726800 180028304275872 184960586584800 187529483620700 194742156067650 202531842310356 207724966472160 225035380344840 253164802887945 259656208090200 270042456413808 277440879877200 281294225431050 300047173793120 311587449708240 337553070517260 346208277453600 375058967241400 389484312135300 405063684620712 421941338146575 450070760689680 506329605775890 519312416180400 540084912827616 554881759754400 562588450862100 623174899416480 675106141034520 750117934482800 778968624270600 810127369241424 843882676293150 900141521379360 1012659211551780 1038624832360800 1125176901724200 1265824014439725 1350212282069040 1500235868965600 1557937248541200 1620254738482848 1687765352586300 2025318423103560 2250353803448400 2531648028879450 2700424564138080 3115874497082400 3375530705172600 4050636846207120 4500707606896800 5063296057758900 6751061410345200 8101273692414240 10126592115517800 13502122820690400 20253184231035600 40506368462071200
- Sum of all divisors σ(n): 159928305432094080
- Sum of proper divisors (its aliquot sum) s(n): 119421936970022880
- 40506368462071200 is an abundant number, because the sum of its proper divisors (119421936970022880) is greater than itself. Its abundance is 78915568507951680
Bases of 40506368462071200
- Binary: 100011111110100001010011110101110101001010100101101000002
- Hexadecimal: 0x8FE853D752A5A0
- Base-36: B2UB4S2VJC0
Squares and roots of 40506368462071200
- 40506368462071200 squared (405063684620712002) is 1640765885985076352312993869440000
- 40506368462071200 cubed (405063684620712003) is 66461467537708207091075193062168446764784128000000
-
The
square root of 40506368462071200 is 201261939.9242469789 -
The
cube root of 40506368462071200 is 343432.2719935503
Scales and comparisons
How big is 40506368462071200?- 40,506,368,462,071,200 seconds is equal to 1,287,977,222 years, 34 weeks, 5 days, 18 hours.
-
To count from 1 to 40,506,368,462,071,200 would take you about three billion, eight hundred sixty-three million, nine hundred thirty-one thousand, six hundred sixty-eight 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 40506368462071200 cubic inches would be around 28619.4 feet tall.
Recreational maths with 40506368462071200
- 40506368462071200 backwards is 00217026486360504
- 40506368462071200 is a
Harshad number . - The number of decimal digits it has is: 17
- The sum of 40506368462071200's digits is 54
- More coming soon!
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