40956982984008
40,956,982,984,008 is an even composite number composed of six prime numbers multiplied together.
What does the number 40956982984008 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 1024 divisors.
40956982984008 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one thousand and twenty-four divisors.
Prime factorization of 40956982984008:
23 × 33 × 73 × 13 × 413 × 617
(2 × 2 × 2 × 3 × 3 × 3 × 7 × 7 × 7 × 13 × 41 × 41 × 41 × 617)See below for interesting mathematical facts about the number 40956982984008 from the Numbermatics database.
Names of 40956982984008
- Cardinal: 40956982984008 can be written as Forty trillion, nine hundred fifty-six billion, nine hundred eighty-two million, nine hundred eighty-four thousand and eight.
Scientific notation
- Scientific notation: 4.0956982984008 × 1013
Factors of 40956982984008
Divisors of 40956982984008
- Number of divisors d(n): 1024
-
Complete list of divisors:
1 2 3 4 6 7 8 9 12 13 14 18 21 24 26 27 28 36 39 41 42 49 52 54 56 63 72 78 82 84 91 98 104 108 117 123 126 147 156 164 168 182 189 196 216 234 246 252 273 287 294 312 328 343 351 364 369 378 392 441 468 492 504 533 546 574 588 617 637 686 702 728 738 756 819 861 882 936 984 1029 1066 1092 1107 1148 1176 1234 1274 1323 1372 1404 1476 1512 1599 1638 1681 1722 1764 1851 1911 2009 2058 2132 2184 2214 2296 2457 2468 2548 2583 2646 2744 2808 2952 3087 3198 3276 3362 3444 3528 3702 3731 3822 4018 4116 4264 4319 4428 4459 4797 4914 4936 5043 5096 5166 5292 5553 5733 6027 6174 6396 6552 6724 6888 7404 7462 7644 7749 8021 8036 8232 8638 8856 8918 9261 9594 9828 10086 10332 10584 11106 11193 11466 11767 12054 12348 12792 12957 13377 13448 14063 14391 14808 14924 15129 15288 15498 16042 16072 16659 17199 17276 17836 18081 18522 19188 19656 20172 20664 21853 22212 22386 22932 23534 24063 24108 24696 25297 25914 26117 26754 28126 28782 29848 30233 30258 30996 32084 33318 33579 34398 34552 35301 35672 36162 37044 38376 38871 40131 40344 42189 43706 44424 44772 45387 45864 47068 48126 48216 50594 51828 52234 53508 54243 56147 56252 57564 60466 60516 61992 64168 65559 66636 67158 68796 68921 70602 72189 72324 74088 75891 77742 78351 80262 82369 84378 87412 89544 90699 90774 94136 96252 100737 101188 103656 104468 105903 107016 108486 112294 112504 115128 116613 120393 120932 121032 126567 131118 133272 134316 137592 137842 141204 144378 144648 151782 152971 155484 156702 160524 164738 168441 168756 174824 177079 181398 181548 182819 192504 196677 201474 202376 206763 208936 211631 211806 216567 216972 224588 227673 233226 235053 240786 241864 247107 253134 262236 268632 272097 275684 282408 288756 303564 305942 310968 313404 317709 321048 328861 329476 336882 337512 354158 362796 363096 365638 379701 393029 393354 402948 413526 423262 423612 433134 433944 449176 455346 458913 466452 470106 481572 482447 494214 505323 506268 524472 531237 544194 548457 551368 576583 577512 590031 607128 611884 620289 626808 634893 635418 657722 658952 673764 683019 705159 708316 725592 731276 741321 759402 786058 786708 805896 816291 827052 846524 847224 866268 895973 910692 917826 932904 940212 963144 964894 986583 988428 1010646 1012536 1037177 1062474 1070797 1088388 1096914 1153166 1179087 1180062 1223768 1239553 1240578 1269786 1270836 1315444 1347528 1366038 1376739 1410318 1416632 1447341 1462552 1482642 1515969 1518804 1572116 1573416 1593711 1632582 1645371 1654104 1693048 1729749 1732536 1791946 1821384 1835652 1860867 1880424 1904679 1929788 1973166 1976856 2021292 2074354 2124948 2141594 2176776 2193828 2223963 2302027 2306332 2358174 2360124 2479106 2481156 2539572 2541672 2630888 2687919 2732076 2751203 2753478 2820636 2894682 2959749 2965284 3031938 3037608 3111531 3144232 3187422 3212391 3265164 3290742 3377129 3459498 3537261 3583892 3671304 3718659 3721734 3809358 3859576 3946332 4042584 4130217 4148708 4249896 4283188 4342023 4387656 4447926 4604054 4612664 4716348 4720248 4781133 4936113 4958212 4962312 5079144 5189247 5375838 5464152 5502406 5506956 5641272 5714037 5789364 5919498 5930568 6063876 6223062 6271811 6374844 6424782 6530328 6581484 6754258 6906081 6918996 7074522 7167784 7260239 7437318 7443468 7495579 7618716 7892664 8063757 8253609 8260434 8297416 8566376 8676871 8684046 8879247 8895852 9208108 9334593 9432696 9562266 9637173 9872226 9916424 10131387 10378494 10611783 10751676 11004812 11013912 11155977 11428074 11578728 11838996 12127752 12446124 12543622 12749688 12849564 13026069 13162968 13483301 13508516 13812162 13837992 14149044 14520478 14874636 14886936 14991158 15237432 15567741 16114189 16127514 16507218 16520868 17353742 17368092 17758494 17791704 18416216 18669186 18815433 19124532 19274346 19744452 20262774 20718243 20756988 21223566 21503352 21780717 22009624 22311954 22486737 22856148 23639903 23677992 24191271 24760827 24892248 25087244 25699128 26030613 26052138 26966602 27017032 27624324 28003779 28298088 28911519 29040956 29749272 29982316 30394161 31135482 32228378 32255028 33014436 33041736 33467931 34707484 34736184 35516988 37338372 37630866 38249064 38548692 39488904 40449903 40525548 41436486 41513976 42447132 42524257 43561434 43902677 44623908 44973474 45712296 47279806 48342567 48382542 49521654 50174488 50821673 52061226 52104276 53933204 55248648 56007558 56446299 57823038 58081912 59964632 60788322 62154729 62270964 64456756 64510056 65342151 66028872 66935862 67460211 69414968 70919709 71033976 74282481 74676744 75261732 77097384 78091839 80899806 81051096 82872972 84894264 85048514 87122868 87805354 89247816 89946948 91182483 94383107 94559612 96685134 96765084 99043308 101643346 104122452 104208552 107866408 112015116 112799323 112892598 115646076 121349709 121576644 124309458 124541928 127572771 128913512 130684302 131708031 133871724 134920422 141839418 145027701 148564962 150523464 152465019 156183678 161799612 165745944 169338897 170097028 174245736 175610708 179893896 182364966 188766214 189119224 193370268 193530168 196026453 198086616 202380633 203286692 208244904 212759127 224030232 225598646 225785196 231292152 234275517 242699418 243153288 248618916 255145542 261368604 263416062 267743448 269840844 283149321 283678836 290055402 297129924 297669799 304930038 307318739 312367356 323599224 338397969 338677794 340194056 351221416 355751711 364049127 364729932 377532428 382718313 386740536 392052906 395124093 404761266 406573384 425518254 435083103 451197292 451570392 457395057 468551034 485398836 497237832 510291084 522737208 526832124 539681688 552815341 566298642 567357672 580110804 594259848 595339598 609860076 614637478 624734712 638277381 660681749 676795938 677355588 711503422 728098254 729459864 755064856 765436626 784105812 790248186 809522532 849447963 851036508 870166206 893009397 902394584 914790114 921956217 937102068 970797672 1015193907 1020582168 1053664248 1067255133 1105630682 1132597284 1148154939 1160221608 1185372279 1190679196 1219720152 1229274956 1276554762 1321363498 1353591876 1354711176 1372185171 1423006844 1456196508 1530873252 1568211624 1580496372 1619045064 1658446023 1698895926 1702073016 1740332412 1786018794 1829580228 1843912434 1874204136 1982045247 2030387814 2083688593 2134510266 2211261364 2265194568 2296309878 2370744558 2381358392 2458549912 2548343889 2553109524 2642726996 2679028191 2707183752 2744370342 2765868651 2846013688 2912393016 3045581721 3061746504 3160992744 3201765399 3316892046 3397791852 3480664824 3572037588 3659160456 3687824868 3869707387 3964090494 4060775628 4167377186 4269020532 4422522728 4592619756 4624772243 4741489116 4975338069 5096687778 5106219048 5285453992 5358056382 5488740684 5531737302 5946135741 6091163442 6251065779 6403530798 6633784092 6795583704 7144075176 7375649736 7739414774 7928180988 8037084573 8121551256 8297605953 8334754372 8538041064 9185239512 9249544486 9482978232 9605296197 9950676138 10193375556 10716112764 10977481368 11063474604 11609122161 11892271482 12182326884 12502131558 12807061596 13267568184 13874316729 14585820151 14926014207 15478829548 15856361976 16074169146 16595211906 16669508744 17838407223 18499088972 18753197337 19210592394 19901352276 20386751112 21432225528 22126949208 23218244322 23784542964 24364653768 25004263116 25614123192 27087951709 27748633458 29171640302 29852028414 30957659096 32148338292 33190423812 34827366483 35676814446 36998177944 37506394674 38421184788 39802704552 41622950187 43757460453 46436488644 47569085928 50008526232 54175903418 55497266916 56259592011 58343280604 59704056828 64296676584 66380847624 69654732966 71353628892 75012789348 76842369576 81263855127 83245900374 87514920906 92872977288 104482099449 108351806836 110994533832 112519184022 116686561208 119408113656 124868850561 131272381359 139309465932 142707257784 150025578696 162527710254 166491800748 175029841812 189615661963 208964198898 216703613672 225038368044 243791565381 249737701122 262544762718 278618931864 325055420508 332983601496 350059683624 379231323926 393817144077 417928397796 450076736088 487583130762 499475402244 525089525436 568846985889 650110841016 731374696143 758462647852 787634288154 835856795592 975166261524 998950804488 1050179050872 1137693971778 1462749392286 1516925295704 1575268576308 1706540957667 1950332523048 2275387943556 2925498784572 3150537152616 3413081915334 4550775887112 5119622873001 5850997569144 6826163830668 10239245746002 13652327661336 20478491492004 40956982984008
- Sum of all divisors σ(n): 146690853120000
- Sum of proper divisors (its aliquot sum) s(n): 105733870135992
- 40956982984008 is an abundant number, because the sum of its proper divisors (105733870135992) is greater than itself. Its abundance is 64776887151984
Bases of 40956982984008
- Binary: 10010101000000000010100110101111111101010010002
- Hexadecimal: 0x25400A6BFD48
- Base-36: EINDM6V60
Squares and roots of 40956982984008
- 40956982984008 squared (409569829840082) is 1677474455152320855983744064
- 40956982984008 cubed (409569829840083) is 68704292715781696222275738776706876928512
-
The
square root of 40956982984008 is 6399764.2912851095 -
The
cube root of 40956982984008 is 34470.1086702613
Scales and comparisons
How big is 40956982984008?- 40,956,982,984,008 seconds is equal to 1,302,305 years, 19 weeks, 1 day, 21 hours, 46 minutes, 48 seconds.
-
To count from 1 to 40,956,982,984,008 would take you about three million, two hundred fifty-five thousand, seven hundred sixty-three 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 40956982984008 cubic inches would be around 2872.5 feet tall.
Recreational maths with 40956982984008
- 40956982984008 backwards is 80048928965904
- 40956982984008 is a
Harshad number . - The number of decimal digits it has is: 14
- The sum of 40956982984008's digits is 72
- More coming soon!
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The information we have on file for 40956982984008 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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