40131338669968
40,131,338,669,968 is an even composite number composed of seven prime numbers multiplied together.
What does the number 40131338669968 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 800 divisors.
40131338669968 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of eight hundred divisors.
Prime factorization of 40131338669968:
24 × 74 × 13 × 19 × 37 × 151 × 757
(2 × 2 × 2 × 2 × 7 × 7 × 7 × 7 × 13 × 19 × 37 × 151 × 757)See below for interesting mathematical facts about the number 40131338669968 from the Numbermatics database.
Names of 40131338669968
- Cardinal: 40131338669968 can be written as Forty trillion, one hundred thirty-one billion, three hundred thirty-eight million, six hundred sixty-nine thousand, nine hundred sixty-eight.
Scientific notation
- Scientific notation: 4.0131338669968 × 1013
Factors of 40131338669968
Divisors of 40131338669968
- Number of divisors d(n): 800
-
Complete list of divisors:
1 2 4 7 8 13 14 16 19 26 28 37 38 49 52 56 74 76 91 98 104 112 133 148 151 152 182 196 208 247 259 266 296 302 304 343 364 392 481 494 518 532 592 604 637 686 703 728 757 784 931 962 988 1036 1057 1064 1208 1274 1372 1406 1456 1514 1729 1813 1862 1924 1963 1976 2072 2114 2128 2401 2416 2548 2744 2812 2869 3028 3367 3458 3626 3724 3848 3926 3952 4144 4228 4459 4802 4921 5096 5299 5488 5587 5624 5738 6056 6517 6734 6916 7252 7399 7448 7696 7852 8456 8918 9139 9604 9841 9842 10192 10598 11174 11248 11476 12103 12112 12691 13034 13468 13741 13832 14383 14504 14798 14896 15704 16912 17836 18278 19208 19682 19684 20083 21196 22348 22952 23569 24206 25382 26068 26936 27482 27664 28009 28766 29008 29596 31213 31408 34447 35672 36556 37093 37297 38416 39109 39364 39368 40166 42392 44696 45619 45904 47138 48412 50764 51793 52136 53872 54964 56018 57532 59192 62426 63973 68887 68894 71344 72631 73112 74186 74594 78218 78728 78736 80332 84721 84784 88837 89392 91238 94276 96187 96824 100681 101528 103586 104272 106153 109928 112036 114307 115064 118384 124852 127946 137774 137788 140581 145262 146224 148372 149188 156436 157456 160664 164983 169442 177674 182476 186979 188552 192374 193648 196063 201362 203056 207172 212306 219856 224072 228614 230128 241129 249704 255892 259651 261079 273763 275548 275576 281162 290524 296744 298376 312872 321328 329966 338884 355348 362551 364117 364952 373958 377104 384748 392126 402724 414344 424612 447811 448144 457228 482209 482258 499408 508417 511784 519302 522158 532171 547526 551096 551152 562324 581048 593047 593488 596752 625744 659932 673309 677768 704767 710696 725102 728234 729904 743071 747916 769496 784252 800149 805448 828688 849224 895622 914456 964418 964516 984067 1016834 1023568 1038604 1044316 1064342 1095052 1102192 1124648 1154881 1162096 1186094 1308853 1319864 1346618 1355536 1372441 1379989 1409534 1421392 1450204 1456468 1485991 1486142 1495832 1538992 1568504 1600298 1610896 1687903 1698448 1791244 1817557 1827553 1828912 1916341 1928836 1929032 1968134 2033668 2077208 2088632 2128684 2171833 2190104 2249296 2309762 2372188 2548819 2617706 2639728 2693236 2744882 2759978 2819068 2900408 2912936 2971982 2972284 2991664 3134677 3137008 3200596 3375463 3375806 3558919 3582488 3635114 3655106 3725197 3832682 3857672 3858064 3936268 4067336 4154416 4177264 4229359 4257368 4343666 4380208 4619524 4713163 4744376 4933369 5097638 5201497 5235412 5386472 5489764 5519956 5601043 5638136 5800816 5825872 5943964 5944568 6269354 6401192 6750926 6751612 6888469 6918223 7117838 7164976 7270228 7310212 7450394 7665364 7715344 7872536 8134672 8458718 8514736 8687332 9161971 9239048 9426326 9488752 9607087 9659923 9866738 10195276 10401937 10402994 10470824 10772944 10979528 11039912 11202086 11276272 11887928 11889136 12538708 12792871 12802384 13414387 13501852 13503224 13776938 13836446 14235676 14540456 14620424 14900788 15202831 15330728 15745072 16917436 17374664 17841733 18323942 18478096 18852652 19214174 19319846 19733476 20390552 20803874 20805988 20941648 21942739 21959056 22079824 22404172 23628241 23775856 24912433 25077416 25585742 26076379 26828774 27003704 27006448 27553876 27672892 28233829 28471352 29080912 29240848 29605513 29801576 30405662 30661456 33834872 34533583 34749328 35683466 36410479 36647884 37705304 38428348 38639692 39207301 39466952 40781104 41607748 41611976 43885478 44808344 47256482 48427561 49824866 50154832 51171484 52152758 53657548 54007408 54981667 55107752 55345784 56467658 56942704 59211026 59603152 60811324 64133797 67249609 67619461 67669744 69067166 71366932 72813559 72820958 73295768 75410608 76856696 77279384 78414602 78933904 80357821 83215496 83223952 87770956 89550097 89616688 94512964 96855122 99649732 102342968 104305516 106419817 107315096 109963334 110215504 110691568 112935316 118422052 121622648 124892131 128267594 134499218 135238922 138134332 142733864 145627118 145641916 146591536 153713392 154558768 156829204 160715642 166430992 174387031 175541912 179100194 182534653 189025928 193710244 197636803 199299464 204685936 207238591 208611032 212839634 214630192 219926668 225870632 236844104 243245296 249784262 254873353 256535188 268998436 270477844 274451107 276268664 285467728 291254236 291283832 313658408 321431284 338992927 348774062 351083824 358200388 365069306 378051856 384871669 387420488 395273606 398598928 414477182 417222064 425679268 439853336 448936579 451741264 473336227 473688208 499568524 509694913 509746706 513070376 537996872 540955688 548902214 552537328 562504747 582508472 582567664 627316816 642862568 677985854 697548124 716400776 730138612 744938719 769743338 774840976 790547212 828954364 851358536 874244917 879706672 897873158 946672454 999137048 1019389826 1019493412 1026140752 1044651673 1075993744 1081911376 1097804428 1125009494 1165016944 1277742571 1285725136 1355971708 1383457621 1395096248 1432801552 1450670137 1460277224 1489877438 1539486676 1581094424 1657908728 1702717072 1748489834 1795746316 1893344908 1998274096 2038779652 2038986824 2089303346 2195608856 2250018988 2372950489 2555485142 2694101683 2711943416 2766915242 2790192496 2901340274 2920554448 2979754876 3078973352 3162188848 3313353589 3315817456 3496979668 3567864391 3591492632 3786689816 3937533229 4077559304 4077973648 4178606692 4391217712 4500037976 4745900978 5110970284 5214571033 5388203366 5423886832 5533830484 5802680548 5959509752 6157946704 6626707178 6993959336 7135728782 7182985264 7312561711 7573379632 7875066458 8155118608 8357213384 9000075952 9491801956 9684203347 10154690959 10221940568 10429142066 10776406732 11067660968 11605361096 11919019504 13253414356 13987918672 14271457564 14625123422 15750132916 16610653423 16714426768 18858711781 18983603912 19368406694 20309381918 20443881136 20858284132 21552813464 22135321936 23210722192 26506828712 27562732603 28542915128 29250246844 31500265832 33221306846 37717423562 37967207824 38736813388 40618763836 41716568264 43105626928 51187931977 53013657424 55125465206 57085830256 58500493688 63000531664 66442613692 67789423429 75434847124 77473626776 81237527672 83433136528 102375863954 110250930412 117000987376 132010982467 132885227384 135578846858 150869694248 154947253552 162475055344 192939128221 204751727908 220501860824 264021964934 265770454768 271157693716 301739388496 358315523839 385878256442 409503455816 441003721648 528043929868 542315387432 716631047678 771756512884 819006911632 1056087859736 1084630774864 1433262095356 1543513025768 2112175719472 2508208666873 2866524190712 3087026051536 5016417333746 5733048381424 10032834667492 20065669334984 40131338669968
- Sum of all divisors σ(n): 106445970077440
- Sum of proper divisors (its aliquot sum) s(n): 66314631407472
- 40131338669968 is an abundant number, because the sum of its proper divisors (66314631407472) is greater than itself. Its abundance is 26183292737504
Bases of 40131338669968
- Binary: 10010001111111110011100010111110001111100100002
- Hexadecimal: 0x247FCE2F8F90
- Base-36: E842YVT74
Squares and roots of 40131338669968
- 40131338669968 squared (401313386699682) is 1610524343443668963225121024
- 40131338669968 cubed (401313386699683) is 64632497862965736451564909859057994207232
-
The
square root of 40131338669968 is 6334930.0445993875 -
The
cube root of 40131338669968 is 34236.9090347125
Scales and comparisons
How big is 40131338669968?- 40,131,338,669,968 seconds is equal to 1,276,052 years, 22 weeks, 4 days, 10 hours, 59 minutes, 28 seconds.
-
To count from 1 to 40,131,338,669,968 would take you about three million, one hundred ninety thousand, one hundred thirty-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 40131338669968 cubic inches would be around 2853.1 feet tall.
Recreational maths with 40131338669968
- 40131338669968 backwards is 86996683313104
- The number of decimal digits it has is: 14
- The sum of 40131338669968's digits is 67
- More coming soon!
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The information we have on file for 40131338669968 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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