40122228346368
40,122,228,346,368 is an even composite number composed of seven prime numbers multiplied together.
40122228346368 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of six hundred forty divisors.
Prime factorization of 40122228346368:
29 × 3 × 7 × 29 × 31 × 877 × 4733
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 7 × 29 × 31 × 877 × 4733)See below for interesting mathematical facts about the number 40122228346368 from the Numbermatics database.
Names of 40122228346368
- Cardinal: 40122228346368 can be written as Forty trillion, one hundred twenty-two billion, two hundred twenty-eight million, three hundred forty-six thousand, three hundred sixty-eight.
Scientific notation
- Scientific notation: 4.0122228346368 × 1013
Factors of 40122228346368
Divisors of 40122228346368
- Number of divisors d(n): 640
-
Complete list of divisors:
1 2 3 4 6 7 8 12 14 16 21 24 28 29 31 32 42 48 56 58 62 64 84 87 93 96 112 116 124 128 168 174 186 192 203 217 224 232 248 256 336 348 372 384 406 434 448 464 496 512 609 651 672 696 744 768 812 868 877 896 899 928 992 1218 1302 1344 1392 1488 1536 1624 1736 1754 1792 1798 1856 1984 2436 2604 2631 2688 2697 2784 2976 3248 3472 3508 3584 3596 3712 3968 4733 4872 5208 5262 5376 5394 5568 5952 6139 6293 6496 6944 7016 7192 7424 7936 9466 9744 10416 10524 10752 10788 11136 11904 12278 12586 12992 13888 14032 14199 14384 14848 15872 18417 18879 18932 19488 20832 21048 21576 22272 23808 24556 25172 25433 25984 27187 27776 28064 28398 28768 33131 36834 37758 37864 38976 41664 42096 43152 44544 47616 49112 50344 50866 51968 54374 55552 56128 56796 57536 66262 73668 75516 75728 76299 77952 81561 83328 84192 86304 98224 99393 100688 101732 103936 108748 111104 112256 113592 115072 132524 137257 146723 147336 151032 151456 152598 155904 163122 166656 168384 172608 178031 190309 196448 198786 201376 203464 217496 224512 227184 230144 265048 274514 293446 294672 302064 302912 305196 311808 326244 333312 336768 345216 356062 380618 392896 397572 402752 406928 411771 434992 440169 449024 454368 460288 530096 534093 549028 570927 586892 589344 604128 605824 610392 652488 673536 690432 712124 761236 785792 788423 795144 805504 813856 823542 869984 880338 908736 960799 1027061 1060192 1068186 1098056 1141854 1173784 1178688 1208256 1211648 1220784 1304976 1347072 1380864 1424248 1522472 1571584 1576846 1590288 1611008 1627712 1647084 1739968 1760676 1817472 1921598 2054122 2120384 2136372 2196112 2283708 2347568 2357376 2365269 2416512 2423296 2441568 2609952 2848496 2882397 3044944 3081183 3143168 3153692 3180576 3222016 3255424 3294168 3479936 3521352 3634944 3843196 4108244 4150841 4240768 4254967 4272744 4392224 4567416 4695136 4714752 4730538 4833024 4883136 5219904 5518961 5696992 5764794 6089888 6162366 6307384 6361152 6510848 6588336 6959872 7042704 7269888 7686392 8216488 8301682 8481536 8509934 8545488 8784448 9134832 9390272 9429504 9461076 9666048 9766272 10439808 11037922 11393984 11529588 12179776 12324732 12452523 12614768 12722304 12764901 13021696 13176672 13919744 14085408 15372784 16432976 16556883 16603364 16963072 17019868 17090976 17568896 18269664 18780544 18922152 19532544 20879616 22075844 22787968 23059176 24359552 24649464 24905046 25229536 25444608 25529802 26353344 28170816 29055887 29784769 30745568 32865952 33113766 33206728 34039736 34181952 35137792 36539328 37561088 37844304 39065088 41759232 44151688 45575936 46118352 48719104 49298928 49810092 50459072 50889216 51059604 52706688 56341632 58111774 59569538 61491136 65731904 66227532 66413456 68079472 68363904 70275584 73078656 75122176 75688608 87167661 88303376 89354307 91151872 92236704 97438208 98597856 99620184 100918144 102119208 105413376 112683264 116223548 119139076 120374389 122982272 128676071 131463808 132455064 132826912 136158944 136727808 146157312 151377216 174335322 176606752 178708614 184473408 197195712 199240368 201836288 204238416 210826752 225366528 232447096 238278152 240748778 245964544 257352142 262927616 264910128 265653824 272317888 273455616 292314624 302754432 348670644 353213504 357417228 361123167 368946816 386028213 394391424 398480736 403672576 408476832 464894192 476556304 481497556 491929088 514704284 525855232 529820256 531307648 544635776 605508864 697341288 706427008 714834456 722246334 737893632 772056426 788782848 796961472 816953664 842620723 900732497 929788384 953112608 962995112 1029408568 1059640512 1062615296 1089271552 1211017728 1394682576 1412854016 1429668912 1444492668 1475787264 1544112852 1577565696 1593922944 1633907328 1685241446 1801464994 1859576768 1906225216 1925990224 2058817136 2119281024 2125230592 2178543104 2527862169 2702197491 2789365152 2825708032 2859337824 2888985336 3088225704 3187845888 3267814656 3370482892 3602929988 3719153536 3731606059 3812450432 3851980448 4117634272 4238562048 5055724338 5404394982 5578730304 5718675648 5777970672 6176451408 6375691776 6535629312 6740965784 7205859976 7438307072 7463212118 7624900864 7703960896 8235268544 8477124096 10111448676 10808789964 11157460608 11194818177 11437351296 11555941344 12352902816 13481931568 14411719952 14876614144 14926424236 15249801728 15407921792 16470537088 20222897352 21617579928 22314921216 22389636354 22874702592 23111882688 24705805632 26121242413 26963863136 28823439904 29852848472 30815843584 32941074176 40445794704 43235159856 44629842432 44779272708 45749405184 46223765376 49411611264 52242484826 53927726272 57646879808 59705696944 61631687168 65882148352 78363727239 80891589408 86470319712 89558545416 92447530752 98823222528 104484969652 107855452544 115293759616 119411393888 156727454478 161783178816 172940639424 179117090832 184895061504 197646445056 208969939304 215710905088 230587519232 238822787776 313454908956 323566357632 345881278848 358234181664 417939878608 431421810176 461175038464 477645575552 626909817912 647132715264 691762557696 716468363328 835879757216 955291151104 1253819635824 1294265430528 1383525115392 1432936726656 1671759514432 1910582302208 2507639271648 2865873453312 3343519028864 5015278543296 5731746906624 6687038057728 10030557086592 13374076115456 20061114173184 40122228346368
- Sum of all divisors σ(n): 130622988165120
- Sum of proper divisors (its aliquot sum) s(n): 90500759818752
- 40122228346368 is an abundant number, because the sum of its proper divisors (90500759818752) is greater than itself. Its abundance is 50378531472384
Bases of 40122228346368
- Binary: 10010001111101101011110010101100001110000000002
- Hexadecimal: 0x247DAF2B0E00
- Base-36: E7ZWATYIO
Squares and roots of 40122228346368
- 40122228346368 squared (401222283463682) is 1609793207478095855778791424
- 40122228346368 cubed (401222283463683) is 64588490660868320619184892452561099948032
-
The
square root of 40122228346368 is 6334210.9489949891 -
The
cube root of 40122228346368 is 34234.3181009091
Scales and comparisons
How big is 40122228346368?- 40,122,228,346,368 seconds is equal to 1,275,762 years, 39 weeks, 1 day, 21 hours, 32 minutes, 48 seconds.
-
To count from 1 to 40,122,228,346,368 would take you about three million, one hundred eighty-nine thousand, four hundred six 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 40122228346368 cubic inches would be around 2852.9 feet tall.
Recreational maths with 40122228346368
- 40122228346368 backwards is 86364382222104
- The number of decimal digits it has is: 14
- The sum of 40122228346368's digits is 51
- More coming soon!
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