40413831913728
40,413,831,913,728 is an even composite number composed of six prime numbers multiplied together.
What does the number 40413831913728 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 972 divisors.
40413831913728 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of nine hundred seventy-two divisors.
Prime factorization of 40413831913728:
28 × 32 × 72 × 13 × 412 × 16381
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 7 × 7 × 13 × 41 × 41 × 16381)See below for interesting mathematical facts about the number 40413831913728 from the Numbermatics database.
Names of 40413831913728
- Cardinal: 40413831913728 can be written as Forty trillion, four hundred thirteen billion, eight hundred thirty-one million, nine hundred thirteen thousand, seven hundred twenty-eight.
Scientific notation
- Scientific notation: 4.0413831913728 × 1013
Factors of 40413831913728
Divisors of 40413831913728
- Number of divisors d(n): 972
-
Complete list of divisors:
1 2 3 4 6 7 8 9 12 13 14 16 18 21 24 26 28 32 36 39 41 42 48 49 52 56 63 64 72 78 82 84 91 96 98 104 112 117 123 126 128 144 147 156 164 168 182 192 196 208 224 234 246 252 256 273 287 288 294 312 328 336 364 369 384 392 416 441 448 468 492 504 533 546 574 576 588 624 637 656 672 728 738 768 784 819 832 861 882 896 936 984 1008 1066 1092 1148 1152 1176 1248 1274 1312 1344 1456 1476 1568 1599 1638 1664 1681 1722 1764 1792 1872 1911 1968 2009 2016 2132 2184 2296 2304 2352 2496 2548 2583 2624 2688 2912 2952 3136 3198 3276 3328 3362 3444 3528 3731 3744 3822 3936 4018 4032 4264 4368 4592 4704 4797 4992 5043 5096 5166 5248 5376 5733 5824 5904 6027 6272 6396 6552 6724 6888 7056 7462 7488 7644 7872 8036 8064 8528 8736 9184 9408 9594 9984 10086 10192 10332 10496 11193 11466 11648 11767 11808 12054 12544 12792 13104 13448 13776 14112 14924 14976 15129 15288 15744 16072 16128 16381 17056 17472 18081 18368 18816 19188 20172 20384 20664 21853 22386 22932 23296 23534 23616 24108 25584 26117 26208 26896 27552 28224 29848 29952 30258 30576 31488 32144 32762 33579 34112 34944 35301 36162 36736 37632 38376 40344 40768 41328 43706 44772 45864 47068 47232 48216 49143 51168 52234 52416 53792 55104 56448 59696 60516 61152 64288 65524 65559 67158 68224 69888 70602 72324 73472 76752 78351 80688 81536 82369 82656 87412 89544 91728 94136 94464 96432 98286 102336 104468 104832 105903 107584 110208 112896 114667 119392 121032 122304 128576 131048 131118 134316 136448 141204 144648 147429 152971 153504 156702 161376 163072 164738 165312 174824 179088 183456 188272 192864 196572 196677 204672 208936 209664 211806 212953 215168 220416 229334 235053 238784 242064 244608 247107 257152 262096 262236 268632 282408 289296 294858 305942 307008 313404 322752 329476 330624 344001 349648 358176 366912 376544 385728 393144 393354 409344 417872 423612 425906 430336 458668 458913 470106 477568 484128 489216 494214 514304 524192 524472 537264 564816 578592 589716 611884 614016 626808 638859 645504 658952 661248 671621 688002 699296 716352 733824 741321 753088 771456 786288 786708 802669 835744 847224 851812 917336 917826 940212 955136 968256 988428 1032003 1048384 1048944 1070797 1074528 1129632 1157184 1179432 1223768 1228032 1253616 1277718 1291008 1317904 1343242 1376004 1376739 1398592 1432704 1467648 1482642 1490671 1506176 1542912 1572576 1573416 1605338 1671488 1694448 1703624 1834672 1835652 1880424 1916577 1936512 1976856 2014863 2064006 2096768 2097888 2141594 2149056 2259264 2314368 2358864 2408007 2447536 2507232 2555436 2635808 2686484 2752008 2753478 2797184 2865408 2965284 2981342 3012352 3145152 3146832 3210676 3212391 3342976 3388896 3407248 3669344 3671304 3760848 3833154 3873024 3953712 4029726 4128012 4193536 4195776 4283188 4298112 4472013 4518528 4628736 4701347 4717728 4816014 4895072 5014464 5110872 5271616 5372968 5504016 5506956 5594368 5930568 5962684 6044589 6290304 6293664 6421352 6424782 6685952 6777792 6814496 7224021 7338688 7342608 7521696 7666308 7907424 8059452 8256024 8391552 8566376 8596224 8731073 8944026 9037056 9402694 9435456 9632028 9637173 9790144 10028928 10221744 10434697 10543232 10745936 11008032 11013912 11861136 11925368 12089178 12580608 12587328 12842704 12849564 13416039 13555584 13628992 14104041 14448042 14677376 14685216 15043392 15332616 15814848 16118904 16512048 16783104 17132752 17462146 17888052 18805388 18870912 19264056 19274346 19580288 20057856 20443488 20869394 21086464 21491872 22016064 22027824 23722272 23850736 24178356 25174656 25685408 25699128 26193219 26832078 27111168 27257984 27536461 28208082 28896084 29354752 29370432 30086784 30665232 31304091 31629696 32237808 32909429 33024096 34265504 34924292 35776104 37610776 37741824 38528112 38548692 39160576 40886976 41738788 42312123 42983744 44032128 44055648 47444544 47701472 48356712 50349312 51370816 51398256 52386438 53664156 54515968 55072922 56416164 57792168 58740864 60173568 61117511 61330464 62608182 63259392 64475616 65818858 66048192 68531008 69848584 71552208 75221552 77056224 77097384 78579657 81773952 82609383 83477576 84624246 85967488 88064256 88111296 93912273 94889088 95402944 96713424 98728287 102741632 102796512 104772876 107328312 110145844 112832328 115584336 117481728 122235022 122660928 125216364 128951232 131637716 132096384 137062016 139697168 143104416 150443104 154112448 154194768 157159314 163547904 165218766 166955152 169248492 171934976 176222592 183352533 187824546 189778176 190805888 192755227 193426848 197456574 205483264 205593024 209545752 214656624 220291688 225664656 231168672 244470044 245321856 247828149 250432728 257902464 263275432 264192768 274124032 279394336 286208832 296184861 300886208 308224896 308389536 314318628 330437532 333910304 338496984 352445184 357973993 366705066 375649092 381611776 385510454 386853696 394913148 411186048 419091504 427822577 429313248 440583376 451329312 462337344 488940088 490643712 495656298 500865456 515804928 526550864 550057599 558788672 572417664 578265681 592369722 601772416 616449792 616779072 628637256 660875064 667820608 676993968 715947986 733410132 751298184 771020908 773707392 789826296 822372096 838183008 855645154 858626496 881166752 902658624 924674688 977880176 991312596 1001730912 1053101728 1073921979 1100115198 1117577344 1144835328 1156531362 1184739444 1203544832 1233558144 1257274512 1283467731 1321750128 1335641216 1349286589 1353987936 1431895972 1466820264 1502596368 1542041816 1547414784 1579652592 1676366016 1711290308 1717252992 1734797043 1762333504 1805317248 1849349376 1955760352 1982625192 2003461824 2106203456 2147843958 2200230396 2235154688 2313062724 2369478888 2467116288 2505817951 2514549024 2566935462 2643500256 2671282432 2698573178 2707975872 2863791944 2933640528 3005192736 3084083632 3159305184 3221765937 3352732032 3422580616 3434505984 3469594086 3524667008 3610634496 3850403193 3911520704 3965250384 4006923648 4047859767 4212406912 4295687916 4400460792 4626125448 4738957776 5011635902 5029098048 5133870924 5287000512 5397146356 5415951744 5727583888 5867281056 6010385472 6168167264 6318610368 6443531874 6705464064 6845161232 6939188172 7049334016 7517453853 7700806386 7823041408 7930500768 8013847296 8095719534 8424813824 8591375832 8800921584 9252250896 9477915552 10023271804 10058196096 10267741848 10574001024 10794292712 10831903488 11455167776 11734562112 12020770944 12143579301 12336334528 12637220736 12887063748 13690322464 13878376344 15034907706 15401612772 15646082816 15861001536 16191439068 17182751664 17540725657 17601843168 18504501792 18955831104 20046543608 20116392192 20535483696 21148002048 21588585424 22552361559 22910335552 23469124224 24041541888 24287158602 24672669056 25274441472 25774127496 27380644928 27756752688 30069815412 30803225544 31722003072 32382878136 34365503328 35081451314 35203686336 37009003584 37911662208 40093087216 41070967392 43177170848 45104723118 45820671104 46938248448 48574317204 49345338112 51548254992 52622176971 54761289856 55513505376 60139630824 61606451088 63444006144 64765756272 68731006656 70162902628 70407372672 74018007168 75823324416 80186174432 82141934784 86354341696 90209446236 91641342208 97148634408 103096509984 105244353942 109522579712 111027010752 120279261648 123212902176 129531512544 137462013312 140325805256 140814745344 148036014336 157866530913 160372348864 164283869568 172708683392 180418892472 194297268816 206193019968 210488707884 222054021504 240558523296 246425804352 259063025088 274924026624 280651610512 315733061826 320744697728 328567739136 345417366784 360837784944 388594537632 412386039936 420977415768 444108043008 481117046592 492851608704 518126050176 561303221024 631466123652 641489395456 721675569888 777189075264 824772079872 841954831536 962234093184 985703217408 1036252100352 1122606442048 1262932247304 1443351139776 1554378150528 1683909663072 1924468186368 2245212884096 2525864494608 2886702279552 3108756301056 3367819326144 4490425768192 5051728989216 5773404559104 6735638652288 10103457978432 13471277304576 20206915956864 40413831913728
- Sum of all divisors σ(n): 149630229771204
- Sum of proper divisors (its aliquot sum) s(n): 109216397857476
- 40413831913728 is an abundant number, because the sum of its proper divisors (109216397857476) is greater than itself. Its abundance is 68802565943748
Bases of 40413831913728
- Binary: 10010011000001100101000001100001100001000000002
- Hexadecimal: 0x24C194186100
- Base-36: EBPUW2F40
Squares and roots of 40413831913728
- 40413831913728 squared (404138319137282) is 1633277809951059778834857984
- 40413831913728 cubed (404138319137283) is 66007014879783914903691277069593820004352
-
The
square root of 40413831913728 is 6357187.4216297887 -
The
cube root of 40413831913728 is 34317.0549623781
Scales and comparisons
How big is 40413831913728?- 40,413,831,913,728 seconds is equal to 1,285,034 years, 44 weeks, 4 hours, 28 minutes, 48 seconds.
-
To count from 1 to 40,413,831,913,728 would take you about three million, two hundred twelve thousand, five hundred eighty-seven 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 40413831913728 cubic inches would be around 2859.8 feet tall.
Recreational maths with 40413831913728
- 40413831913728 backwards is 82731913831404
- The number of decimal digits it has is: 14
- The sum of 40413831913728's digits is 54
- More coming soon!
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The information we have on file for 40413831913728 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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