40997951197328125
40,997,951,197,328,125 is an odd composite number composed of six prime numbers multiplied together.
40997951197328125 is an odd composite number. It is composed of six distinct prime numbers multiplied together. It has a total of two thousand and sixteen divisors.
Prime factorization of 40997951197328125:
56 × 72 × 112 × 133 × 173 × 41
(5 × 5 × 5 × 5 × 5 × 5 × 7 × 7 × 11 × 11 × 13 × 13 × 13 × 17 × 17 × 17 × 41)See below for interesting mathematical facts about the number 40997951197328125 from the Numbermatics database.
Names of 40997951197328125
- Cardinal: 40997951197328125 can be written as Forty quadrillion, nine hundred ninety-seven trillion, nine hundred fifty-one billion, one hundred ninety-seven million, three hundred twenty-eight thousand, one hundred twenty-five.
Scientific notation
- Scientific notation: 4.0997951197328125 × 1016
Factors of 40997951197328125
Divisors of 40997951197328125
- Number of divisors d(n): 2016
-
Complete list of divisors:
1 5 7 11 13 17 25 35 41 49 55 65 77 85 91 119 121 125 143 169 175 187 205 221 245 275 287 289 325 385 425 451 455 533 539 595 605 625 637 697 715 833 845 847 875 935 1001 1025 1105 1183 1225 1309 1375 1435 1445 1547 1573 1625 1859 1925 2009 2023 2057 2125 2197 2255 2275 2431 2665 2695 2873 2975 3025 3125 3157 3179 3185 3485 3575 3731 3757 4165 4225 4235 4375 4675 4879 4913 4961 5005 5125 5525 5863 5915 5929 6125 6545 6875 6929 7007 7175 7225 7667 7735 7865 8125 8281 9061 9163 9295 9625 10045 10115 10285 10625 10829 10985 11011 11275 11375 11849 12155 13013 13325 13475 14161 14365 14399 14875 15125 15379 15625 15785 15895 15925 17017 17425 17875 18655 18785 20111 20449 20825 21125 21175 21875 22099 22253 23375 24167 24395 24565 24805 25025 25625 26117 26299 26741 27625 29315 29575 29645 30625 31603 32725 34153 34375 34391 34645 34727 34969 35035 35875 36125 37349 38335 38675 39325 40625 41041 41327 41405 45305 45815 46475 48125 48503 48841 50225 50575 51425 53125 53669 54043 54145 54925 55055 56375 56875 59245 60775 63427 63869 64493 65065 66625 67375 70805 71825 71995 74375 75625 76219 76895 77077 78925 79475 79625 82943 84337 85085 87125 89375 90077 91091 93275 93925 99671 100555 100793 102245 104125 105625 105875 107653 109375 110495 111265 116875 117793 119119 120835 121975 122825 124025 125125 128125 130339 130585 131495 133705 138125 140777 143143 146575 147875 148225 153125 154037 155771 158015 163625 169169 170765 171875 171955 173225 173635 174845 175175 179375 180625 184093 186745 187187 191675 193375 196625 201433 203125 205205 206635 207025 221221 226525 229075 232375 240625 240737 242515 243089 244205 244783 251125 252875 257125 261443 265625 265837 268345 270215 270725 274625 275275 281875 284375 287287 289289 296225 303875 317135 319345 322465 325325 333125 336875 339521 341887 347633 354025 359125 359975 371875 375683 378125 378301 381095 384475 385385 394625 397375 398125 410839 414715 421685 425425 435625 443989 446875 447083 450385 451451 454597 455455 466375 469625 498355 502775 503965 511225 520625 528125 529375 533533 537251 538265 552475 556325 580601 584375 588965 590359 594473 595595 604175 609875 614125 620125 625625 630539 634933 640625 651695 652925 657475 668525 690625 697697 702559 703885 715715 732875 739375 741125 765625 770185 778855 790075 818125 824551 830297 838409 845845 853825 859775 866125 868175 874225 875875 896875 903125 912373 920465 933725 935935 958375 966875 983125 990847 1002001 1007165 1026025 1033175 1035125 1078259 1096381 1106105 1132625 1145375 1161875 1184183 1203125 1203685 1212575 1215445 1221025 1223915 1255625 1264375 1285625 1295723 1307215 1310309 1329185 1341725 1351075 1353625 1373125 1376375 1409375 1410031 1421875 1433729 1436435 1446445 1481125 1519375 1531309 1548547 1585675 1596725 1612325 1626625 1665625 1684375 1694407 1697605 1709435 1713481 1738165 1770125 1795625 1799875 1830101 1859375 1860859 1878415 1890625 1891505 1905475 1922375 1926925 1973125 1986875 1990625 2002481 2025023 2054195 2073575 2108425 2127125 2178125 2215763 2219945 2234375 2235415 2251925 2257255 2272985 2277275 2331875 2348125 2393209 2433431 2491775 2513875 2519825 2556125 2603125 2618629 2640625 2646875 2648107 2667665 2686255 2691325 2762375 2781625 2875873 2903005 2921875 2944825 2951795 2972365 2977975 3020875 3049375 3070625 3100625 3128125 3129581 3152695 3160157 3174665 3182179 3258475 3264625 3287375 3342625 3453125 3488485 3512795 3519425 3578575 3664375 3696875 3705625 3734731 3760757 3850925 3894275 3950375 4090625 4122755 4132513 4151485 4161311 4192045 4229225 4269125 4298875 4330625 4340875 4371125 4379375 4413773 4444531 4484375 4515625 4519229 4561865 4602325 4668625 4679675 4791875 4834375 4883879 4915625 4917913 4954235 5010005 5035825 5130125 5165875 5175625 5391295 5481905 5530525 5663125 5726875 5771857 5809375 5812079 5868863 5909761 5920915 6018425 6062875 6077225 6105125 6119575 6278125 6321875 6386611 6428125 6478615 6536075 6551545 6645925 6708625 6755375 6768125 6865625 6881875 6935929 6984263 7046875 7050155 7168645 7182175 7232225 7405625 7547813 7596875 7656545 7674667 7728149 7742735 7928375 7983625 8061625 8133125 8328125 8421875 8472035 8488025 8547175 8567405 8690825 8850625 8978125 8999375 9070061 9133267 9150505 9304295 9392075 9457525 9527375 9611875 9634625 9865625 9870217 9934375 9953125 10012405 10036103 10125115 10270975 10367875 10542125 10635625 10719163 10793861 10890625 10899317 11078815 11099725 11177075 11259625 11286275 11364925 11386375 11659375 11740625 11860849 11966045 12167155 12458875 12569375 12599125 12780625 13015625 13026013 13093145 13234375 13240535 13338325 13431275 13456625 13811875 13908125 14017367 14252953 14379365 14515025 14724125 14758975 14861825 14889875 15104375 15246875 15353125 15503125 15510341 15640625 15647905 15763475 15800785 15873325 15910895 16292375 16323125 16436875 16713125 16844399 17034017 17442425 17563975 17597125 17892875 18321875 18330403 18484375 18528125 18638477 18673655 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556881325 564903625 570233125 575290625 583578125 584959375 589553965 593662355 609334825 610484875 614739125 619279375 626250625 629478125 641265625 641564105 645734375 650806325 652346695 658132475 673911875 685238125 691315625 698394697 703261559 720122975 721482125 726509875 728229425 733607875 738720125 740114375 752303125 757859375 759653125 763140625 764946875 770955185 777792925 790865075 798326375 809826875 817009375 818943125 825375551 830740625 831127297 838578125 844421875 851054425 853068755 860634775 866991125 873032875 881269375 896080625 897771875 904028125 911128855 913285373 926441945 943476625 957068125 959333375 966018625 967841875 991046875 997953125 1007703125 1008172165 1017113825 1027051025 1034208175 1059004375 1061003125 1068396875 1070925625 1079337259 1086353125 1107211105 1133757625 1141658375 1143813125 1163036875 1174009375 1182190625 1190921875 1191476195 1194296257 1204328125 1211501005 1213787575 1222246025 1233777125 1251550625 1254512875 1265639375 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32425468075 32651429525 33497384375 33576668125 33730815625 33810651875 34060365625 34076219177 34621296875 35286025775 35794347875 36197286125 37065153125 37393890625 38022359375 39606763625 39681516875 39958043125 40706290625 40916078125 41376671875 41701666825 42402535175 42778610875 43804271875 43907950625 44540478125 44935515625 45395655305 45712001335 46807993375 46896338125 47223141875 47334912625 47684511875 48016808125 48469815625 48899703125 49377453125 49721546875 50112087025 51891214375 52638746875 53231303125 53548344421 55318537625 55449469075 55941260375 57282509375 58245240625 58355171875 58761828125 59363549245 61325980625 62356669375 62791210625 62909721875 63996801869 64570515625 65020484375 65531190725 66112398625 66758316625 67223531375 67857741875 68835284375 68965203125 69445796875 69610165625 70156921835 70612953125 73694245625 74207794375 76166853125 76310609375 76842390625 77445952675 77629256705 78747565325 80195513125 81350790625 81543336875 82266559375 87299337125 87907694875 90015371875 90185265625 90813734375 91028678125 91700984375 91743667015 92340015625 94112943925 96369398125 97224115625 98858134375 99790796875 102977585425 103171943875 103890912125 106381803125 106633594375 107579346875 108373890625 108424333745 109129109375 110246591455 113891106875 114160671625 115805243125 117934578125 119916671875 120752328125 121700782775 123070772825 126021520625 127139228125 128381378125 129276021875 134917157375 138401388125 141719703125 142707296875 144168619595 145447276975 148934524375 149287032125 151437625625 151723446875 152780753125 154222140625 154345228037 156814109375 159447549625 162127340375 163257147625 167486921875 167883340625 168654078125 169053259375 170301828125 170381095885 176430128875 178971739375 180986430625 185325765625 198033818125 198407584375 199790215625 201836067433 203531453125 208508334125 212012675875 213893054375 219021359375 219539753125 222702390625 226978276525 228560006675 234039966875 234481690625 236115709375 236674563125 238422559375 238533534239 240084040625 242349078125 250560435125 259456071875 263193734375 266156515625 267741722105 276592688125 277247345375 279706301875 286412546875 291226203125 296817746225 306629903125 311783346875 313956053125 314548609375 319984009345 327655953625 330561993125 333791583125 336117656875 339288709375 344176421875 348050828125 350784609175 368471228125 371038971875 374838410947 380834265625 387229763375 388146283525 393737826625 400977565625 406753953125 407716684375 411332796875 436496685625 439538474375 450076859375 455143390625 458718335075 470564719625 481846990625 486120578125 494290671875 514887927125 515859719375 519454560625 531909015625 533167971875 537896734375 542121668725 551232957275 569455534375 570803358125 579026215625 608503913875 615353864125 630107603125 635696140625 641906890625 646380109375 674585786875 692006940625 720843097975 727236384875 744672621875 746435160625 757188128125 758617234375 763903765625 771726140185 797237748125 810636701875 816285738125 839416703125 845266296875 851905479425 882150644375 894858696875 904932153125 990169090625 992037921875 998951078125 1009180337165 1042541670625 1060063379375 1069465271875 1097698765625 1134891382625 1142800033375 1170199834375 1172408453125 1180578546875 1183372815625 1192112796875 1192667671195 1200420203125 1252802175625 1297280359375 1338708610525 1382963440625 1386236726875 1398531509375 1484088731125 1533149515625 1558916734375 1569780265625 1599920046725 1638279768125 1652809965625 1668957915625 1680588284375 1696443546875 1753923045875 1842356140625 1855194859375 1874192054735 1936148816875 1940731417625 1968689133125 2004887828125 2038583421875 2182483428125 2197692371875 2293591675375 2352823598125 2409234953125 2574439635625 2579298596875 2597272803125 2623868876629 2665839859375 2710608343625 2756164786375 2847277671875 2854016790625 2895131078125 3042519569375 3076769320625 3150538015625 3372928934375 3460034703125 3604215489875 3636181924375 3723363109375 3732175803125 3785940640625 3858630700925 3986188740625 4053183509375 4081428690625 4259527397125 4410753221875 4474293484375 4524660765625 4950845453125 5045901685825 5212708353125 5300316896875 5347326359375 5674456913125 5714000166875 5850999171875 5916864078125 5963338355975 6264010878125 6693543052625 6914817203125 6931183634375 6992657546875 7420443655625 7999600233625 8191398840625 8264049828125 8344789578125 8402941421875 8769615229375 9370960273675 9680744084375 9703657088125 9843445665625 10912417140625 10988461859375 11467958376875 11764117990625 12872198178125 12896492984375 12986364015625 13119344383145 13553041718125 13780823931875 14270083953125 15212597846875 15383846603125 16864644671875 18021077449375 18180909621875 18660879015625 19293153504625 19930943703125 20265917546875 20407143453125 21297636985625 22053766109375 25229508429125 26063541765625 26501584484375 28372284565625 28570000834375 29816691779875 31320054390625 33467715263125 34655918171875 37102218278125 39998001168125 40956994203125 43848076146875 46854801368375 48403720421875 48518285440625 49217228328125 57339791884375 58820589953125 64360990890625 65596721915725 67765208590625 68904119659375 76062989234375 76919233015625 90105387246875 90904548109375 96465767523125 106488184928125 126147542145625 141861422828125 142850004171875 149083458899375 167338576315625 185511091390625 199990005840625 219240380734375 234274006841875 242591427203125 286698959421875 327983609578625 338826042953125 344520598296875 450526936234375 482328837615625 532440924640625 630737710728125 745417294496875 836692881578125 999950029203125 1171370034209375 1639918047893125 2411644188078125 3153688553640625 3727086472484375 5856850171046875 8199590239465625 40997951197328125
- Sum of all divisors σ(n): 77258758872103200
- Sum of proper divisors (its aliquot sum) s(n): 36260807674775075
- 40997951197328125 is a deficient number, because the sum of its proper divisors (36260807674775075) is less than itself. Its deficiency is 4737143522553050
Bases of 40997951197328125
- Binary: 100100011010011101101011010111011010001010110010111111012
- Hexadecimal: 0x91A76B5DA2B2FD
- Base-36: B7OK6RR5ON1
Squares and roots of 40997951197328125
- 40997951197328125 squared (409979511973281252) is 1680832002378498638282138916015625
- 40997951197328125 cubed (409979511973281253) is 68910668404420998095202532061269402271270751953125
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The
square root of 40997951197328125 is 202479508.0923699919 -
The
cube root of 40997951197328125 is 344815.9802704885
Scales and comparisons
How big is 40997951197328125?- 40,997,951,197,328,125 seconds is equal to 1,303,608,033 years, 4 weeks, 3 days, 3 hours, 35 minutes, 25 seconds.
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To count from 1 to 40,997,951,197,328,125 would take you about three billion, nine hundred ten million, eight hundred twenty-four thousand and ninety-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 40997951197328125 cubic inches would be around 28734.7 feet tall.
Recreational maths with 40997951197328125
- 40997951197328125 backwards is 52182379115979904
- The number of decimal digits it has is: 17
- The sum of 40997951197328125's digits is 82
- More coming soon!
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The information we have on file for 40997951197328125 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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