40345417728
40,345,417,728 is an even composite number composed of six prime numbers multiplied together.
40345417728 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of eight hundred sixty-four divisors.
Prime factorization of 40345417728:
211 × 32 × 72 × 11 × 31 × 131
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 7 × 7 × 11 × 31 × 131)See below for interesting mathematical facts about the number 40345417728 from the Numbermatics database.
Names of 40345417728
- Cardinal: 40345417728 can be written as Forty billion, three hundred forty-five million, four hundred seventeen thousand, seven hundred twenty-eight.
Scientific notation
- Scientific notation: 4.0345417728 × 1010
Factors of 40345417728
Divisors of 40345417728
- Number of divisors d(n): 864
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Complete list of divisors:
1 2 3 4 6 7 8 9 11 12 14 16 18 21 22 24 28 31 32 33 36 42 44 48 49 56 62 63 64 66 72 77 84 88 93 96 98 99 112 124 126 128 131 132 144 147 154 168 176 186 192 196 198 217 224 231 248 252 256 262 264 279 288 294 308 336 341 352 372 384 392 393 396 434 441 448 462 496 504 512 524 528 539 558 576 588 616 651 672 682 693 704 744 768 784 786 792 868 882 896 917 924 992 1008 1023 1024 1048 1056 1078 1116 1152 1176 1179 1232 1302 1344 1364 1386 1408 1441 1488 1519 1536 1568 1572 1584 1617 1736 1764 1792 1834 1848 1953 1984 2016 2046 2048 2096 2112 2156 2232 2304 2352 2358 2387 2464 2604 2688 2728 2751 2772 2816 2882 2976 3038 3069 3072 3136 3144 3168 3234 3472 3528 3584 3668 3696 3906 3968 4032 4061 4092 4192 4224 4312 4323 4464 4557 4608 4704 4716 4774 4851 4928 5208 5376 5456 5502 5544 5632 5764 5952 6076 6138 6144 6272 6288 6336 6419 6468 6944 7056 7161 7168 7336 7392 7812 7936 8064 8122 8184 8253 8384 8448 8624 8646 8928 9114 9216 9408 9432 9548 9702 9856 10087 10416 10752 10912 11004 11088 11264 11528 11904 12152 12183 12276 12544 12576 12672 12838 12936 12969 13671 13888 14112 14322 14336 14672 14784 15624 15872 16128 16244 16368 16506 16709 16768 16896 17248 17292 17856 18228 18432 18816 18864 19096 19257 19404 19712 20174 20832 21483 21504 21824 22008 22176 22528 23056 23808 24304 24366 24552 25088 25152 25344 25676 25872 25938 27342 27776 28224 28427 28644 29344 29568 30261 31248 31744 32256 32488 32736 33012 33418 33536 33792 34496 34584 35712 36456 36549 37632 37728 38192 38514 38808 39424 40348 41664 42966 43008 43648 44016 44352 44671 46112 47616 48608 48732 49104 50127 50176 50304 50688 51352 51744 51876 54684 55552 56448 56854 57288 57771 58688 59136 60522 62496 63488 64512 64976 65472 66024 66836 67072 67584 68992 69168 70609 71424 72912 73098 75264 75456 76384 77028 77616 78848 80696 83328 85281 85932 87296 88032 88704 89342 90783 92224 95232 97216 97464 98208 100254 100352 100608 101376 102704 103488 103752 109368 111104 112896 113708 114576 115542 117376 118272 121044 124992 129024 129952 130944 132048 133672 134013 134144 137984 138336 141218 142848 145824 146196 150381 150528 150912 152768 154056 155232 157696 161392 166656 170562 171864 174592 176064 177408 178684 181566 184448 190464 194432 194928 196416 198989 200508 201216 202752 205408 206976 207504 211827 218736 222208 225792 227416 229152 231084 234752 236544 242088 249984 255843 259904 261888 264096 267344 268026 268288 275968 276672 282436 285696 291648 292392 300762 301056 301824 305536 308112 310464 312697 322784 333312 341124 343728 349184 352128 354816 357368 363132 368896 388864 389856 392832 397978 401016 402039 402432 410816 413952 415008 423654 437472 444416 451584 454832 458304 462168 469504 473088 484176 499968 511686 519808 523776 528192 534688 536052 551936 553344 564872 571392 583296 584784 596967 601524 603648 611072 616224 620928 625394 635481 645568 666624 682248 687456 698368 704256 709632 714736 726264 737792 777728 779712 785664 795956 802032 804078 804864 821632 827904 830016 847308 874944 903168 909664 916608 924336 938091 939008 968352 999936 1023372 1039616 1047552 1056384 1069376 1072104 1103872 1106688 1129744 1166592 1169568 1193934 1203048 1207296 1222144 1232448 1241856 1250788 1270962 1291136 1333248 1364496 1374912 1408512 1419264 1429472 1452528 1475584 1555456 1559424 1571328 1591912 1604064 1608156 1643264 1655808 1660032 1694616 1749888 1790901 1819328 1833216 1848672 1876182 1878016 1936704 1999872 2046744 2079232 2095104 2112768 2138752 2144208 2188879 2213376 2259488 2333184 2339136 2387868 2406096 2414592 2444288 2464896 2483712 2501576 2541924 2582272 2728992 2749824 2814273 2817024 2858944 2905056 2951168 3110912 3118848 3142656 3183824 3208128 3216312 3286528 3311616 3320064 3389232 3499776 3581802 3638656 3666432 3697344 3752364 3873408 3999744 4093488 4158464 4225536 4277504 4288416 4377758 4426752 4518976 4666368 4678272 4775736 4812192 4888576 4929792 4967424 5003152 5083848 5164544 5457984 5499648 5628546 5634048 5717888 5810112 6237696 6285312 6367648 6416256 6432624 6566637 6573056 6640128 6778464 6999552 7163604 7277312 7332864 7394688 7504728 7746816 8186976 8316928 8451072 8555008 8576832 8755516 8853504 9037952 9332736 9356544 9551472 9624384 9859584 9934848 10006304 10167696 10329088 10915968 10999296 11257092 11435776 11620224 12475392 12735296 12832512 12865248 13133274 13146112 13280256 13556928 13999104 14327208 14554624 14665728 14789376 15009456 15493632 16373952 16902144 17110016 17153664 17511032 18075904 18713088 19102944 19248768 19699911 19719168 20012608 20335392 20658176 21831936 21998592 22514184 22871552 23240448 24950784 25470592 25665024 25730496 26266548 26560512 27113856 27998208 28654416 29109248 29578752 30018912 30987264 32747904 34220032 34307328 35022064 36151808 37426176 38205888 38497536 39399822 39438336 40025216 40670784 43663872 43997184 45028368 45743104 46480896 50941184 51330048 51460992 52533096 54227712 57308832 58218496 59157504 60037824 61974528 65495808 68614656 70044128 72303616 74852352 76411776 76995072 78799644 80050432 81341568 87327744 90056736 91486208 92961792 101882368 102660096 102921984 105066192 108455424 114617664 118315008 120075648 130991616 137229312 140088256 144607232 152823552 153990144 157599288 160100864 162683136 174655488 180113472 185923584 203764736 205843968 210132384 216910848 229235328 240151296 261983232 274458624 280176512 305647104 307980288 315198576 320201728 325366272 360226944 407529472 411687936 420264768 433821696 458470656 480302592 523966464 560353024 611294208 630397152 640403456 650732544 720453888 823375872 840529536 916941312 960605184 1120706048 1222588416 1260794304 1301465088 1440907776 1681059072 1833882624 1921210368 2241412096 2521588608 2881815552 3362118144 3667765248 4482824192 5043177216 5763631104 6724236288 10086354432 13448472576 20172708864 40345417728
- Sum of all divisors σ(n): 153807413760
- Sum of proper divisors (its aliquot sum) s(n): 113461996032
- 40345417728 is an abundant number, because the sum of its proper divisors (113461996032) is greater than itself. Its abundance is 73116578304
Bases of 40345417728
- Binary: 1001011001001100011000111000000000002
- Hexadecimal: 0x964C63800
- Base-36: IJ8MBK0
Squares and roots of 40345417728
- 40345417728 squared (403454177282) is 1627752731646816681984
- 40345417728 cubed (403454177283) is 65672363916183904396083411812352
-
The
square root of 40345417728 is 200861.6880542429 -
The
cube root of 40345417728 is 3429.7679587577
Scales and comparisons
How big is 40345417728?- 40,345,417,728 seconds is equal to 1,282 years, 44 weeks, 4 days, 20 hours, 28 minutes, 48 seconds.
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To count from 1 to 40,345,417,728 would take you about two thousand, five hundred sixty-five 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 40345417728 cubic inches would be around 285.8 feet tall.
Recreational maths with 40345417728
- 40345417728 backwards is 82771454304
- The number of decimal digits it has is: 11
- The sum of 40345417728's digits is 45
- More coming soon!
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The information we have on file for 40345417728 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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