40968440407125
40,968,440,407,125 is an odd composite number composed of seven prime numbers multiplied together.
40968440407125 is an odd composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of five hundred seventy-six divisors.
Prime factorization of 40968440407125:
32 × 53 × 7 × 112 × 29 × 181 × 8191
(3 × 3 × 5 × 5 × 5 × 7 × 11 × 11 × 29 × 181 × 8191)See below for interesting mathematical facts about the number 40968440407125 from the Numbermatics database.
Names of 40968440407125
- Cardinal: 40968440407125 can be written as Forty trillion, nine hundred sixty-eight billion, four hundred forty million, four hundred seven thousand, one hundred twenty-five.
Scientific notation
- Scientific notation: 4.0968440407125 × 1013
Factors of 40968440407125
Divisors of 40968440407125
- Number of divisors d(n): 576
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Complete list of divisors:
1 3 5 7 9 11 15 21 25 29 33 35 45 55 63 75 77 87 99 105 121 125 145 165 175 181 203 225 231 261 275 315 319 363 375 385 435 495 525 543 605 609 693 725 825 847 875 905 957 1015 1089 1125 1155 1267 1305 1375 1575 1595 1629 1815 1827 1925 1991 2175 2233 2475 2541 2625 2715 2871 3025 3045 3465 3509 3625 3801 4125 4235 4525 4785 5075 5249 5445 5775 5973 6335 6525 6699 7623 7875 7975 8145 8191 9075 9135 9625 9955 10527 10875 11165 11403 12375 12705 13575 13937 14355 15125 15225 15747 17325 17545 17919 19005 20097 21175 21901 22625 23925 24563 24573 25375 26245 27225 28875 29865 31581 31675 32625 33495 36743 38115 39875 40725 40955 41811 45375 45675 47241 49775 52635 55825 57015 57337 57739 63525 65703 67875 69685 71775 73689 73719 76125 78735 86625 87725 89595 90101 95025 100485 105875 109505 110229 119625 122815 122865 125433 131225 136125 149325 153307 157905 158375 167475 172011 173217 183715 190575 197109 203625 204775 209055 221067 228375 236205 237539 248875 263175 270303 279125 285075 286685 288695 317625 328515 330687 348425 358875 368445 368595 393675 404173 438625 447975 450505 459921 475125 502425 516033 519651 547525 551145 614075 614325 627165 630707 635129 656125 712617 746625 766535 789525 810909 837375 860055 866085 918575 952875 985545 991111 1023875 1045275 1105335 1181025 1187695 1212519 1315875 1351515 1379763 1425375 1433425 1443475 1482571 1642575 1653435 1662773 1742125 1842225 1842975 1892121 1905387 1968375 2020865 2137851 2239875 2252525 2299605 2512125 2580165 2598255 2612929 2737625 2755725 2973333 3070375 3071625 3135825 3153535 3175645 3563085 3637557 3832675 3947625 4054545 4300275 4330425 4445903 4447713 4592875 4927725 4955555 4988319 5226375 5526675 5676363 5716161 5905125 5938475 6062595 6757575 6898815 6937777 7167125 7217375 7412855 7838787 8212875 8267175 8313865 8919999 9211125 9214875 9460605 9526935 10104325 10377997 10689255 11262625 11498025 12900825 12991275 13064645 13337709 13343139 13778625 14866665 14964957 15679125 15767675 15878225 16308281 17815425 18187785 18290503 19163375 20272725 20813331 21501375 21652125 22229515 22238565 23516361 24638625 24777775 24941595 27633375 28381815 28580805 28742219 29692375 30312975 31133991 33787875 34494075 34688885 37064275 39193935 40013127 41335875 41569325 42994559 44599995 47303025 47634675 48924843 50521625 51889985 53446275 54871509 57490125 62439993 64504125 64956375 65323225 66688545 66715695 74333325 74824785 78838375 79391125 81541405 86226657 89077125 90938925 91452515 93401973 101363625 104066655 111147575 111192825 114157967 117581805 123888875 124707975 128983677 141909075 142904025 143711095 146774529 151564875 155669955 164614527 172470375 173444425 179391091 185321375 195969675 200065635 201195533 207846625 214972795 222999975 236515125 238173375 244624215 258679971 259449925 267231375 274357545 300961913 312199965 326616125 333442725 333578475 342473901 371666625 374123925 386951031 407707025 431133285 454694625 457262575 467009865 472940149 520333275 538173273 555737875 555964125 570789835 587909025 603586599 623539875 644918385 709545375 714520125 718555475 733872645 778349775 823072635 867222125 896955455 902885739 979848375 1000328175 1005977665 1027421703 1074863975 1114999875 1223121075 1255737637 1293399855 1297249625 1371787725 1418820447 1504809565 1560999825 1614519819 1667213625 1667892375 1712369505 1810759797 1870619625 1934755155 2038535125 2155666425 2286312875 2335049325 2364700745 2601666375 2690866365 2708657217 2853949175 2939545125 3017932995 3224591925 3310581043 3592777375 3669363225 3767212911 3891748875 4115363175 4256461341 4484777275 4514428695 5001640875 5029888325 5137108515 5202341639 5374319875 6115605375 6278688185 6466999275 6858938625 7094102235 7524047825 7804999125 8072599095 8561847525 9053798985 9673775775 9931743129 10778332125 11301638733 11675246625 11823503725 13454331825 13543286085 14269745875 15089664975 15607024917 16122959625 16552905215 18346816125 18836064555 20576815875 21282306705 22423886375 22572143475 25149441625 25685542575 26011708195 29795229387 31393440925 32334996375 35470511175 36416391473 37620239125 40362995475 42809237625 45268994925 46821074751 48368878875 49658715645 56508193665 59117518625 67271659125 67716430425 75448324875 78035124585 82764526075 94180322775 106411533525 109249174419 112860717375 128427712875 130058540975 148976146935 156967204625 177352555875 182081957365 201814977375 226344974625 234105373755 248293578225 282540968325 327747523257 338582152125 390175622925 413822630375 470901613875 532057667625 546245872095 650292704875 744880734675 910409786825 1170526868775 1241467891125 1412704841625 1638737616285 1950878114625 2731229360475 3724403673375 4552048934125 5852634343875 8193688081425 13656146802375 40968440407125
- Sum of all divisors σ(n): 96514411069440
- Sum of proper divisors (its aliquot sum) s(n): 55545970662315
- 40968440407125 is an abundant number, because the sum of its proper divisors (55545970662315) is greater than itself. Its abundance is 14577530255190
Bases of 40968440407125
- Binary: 10010101000010101101010101011001100100010101012
- Hexadecimal: 0x2542B5566455
- Base-36: EISN3N7F9
Squares and roots of 40968440407125
- 40968440407125 squared (409684404071252) is 1678413109392152435750765625
- 40968440407125 cubed (409684404071253) is 68761967450669770696189156866905455078125
-
The
square root of 40968440407125 is 6400659.3728400359 -
The
cube root of 40968440407125 is 34473.3226260575
Scales and comparisons
How big is 40968440407125?- 40,968,440,407,125 seconds is equal to 1,302,669 years, 35 weeks, 2 days, 23 hours, 18 minutes, 45 seconds.
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To count from 1 to 40,968,440,407,125 would take you about three million, two hundred fifty-six thousand, six hundred seventy-four 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 40968440407125 cubic inches would be around 2872.8 feet tall.
Recreational maths with 40968440407125
- 40968440407125 backwards is 52170404486904
- The number of decimal digits it has is: 14
- The sum of 40968440407125's digits is 54
- More coming soon!
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