40988073984
40,988,073,984 is an even composite number composed of six prime numbers multiplied together.
40988073984 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of four hundred forty-eight divisors.
Prime factorization of 40988073984:
213 × 3 × 11 × 13 × 107 × 109
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 11 × 13 × 107 × 109)See below for interesting mathematical facts about the number 40988073984 from the Numbermatics database.
Names of 40988073984
- Cardinal: 40988073984 can be written as Forty billion, nine hundred eighty-eight million, seventy-three thousand, nine hundred eighty-four.
Scientific notation
- Scientific notation: 4.0988073984 × 1010
Factors of 40988073984
Divisors of 40988073984
- Number of divisors d(n): 448
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Complete list of divisors:
1 2 3 4 6 8 11 12 13 16 22 24 26 32 33 39 44 48 52 64 66 78 88 96 104 107 109 128 132 143 156 176 192 208 214 218 256 264 286 312 321 327 352 384 416 428 429 436 512 528 572 624 642 654 704 768 832 856 858 872 1024 1056 1144 1177 1199 1248 1284 1308 1391 1408 1417 1536 1664 1712 1716 1744 2048 2112 2288 2354 2398 2496 2568 2616 2782 2816 2834 3072 3328 3424 3432 3488 3531 3597 4096 4173 4224 4251 4576 4708 4796 4992 5136 5232 5564 5632 5668 6144 6656 6848 6864 6976 7062 7194 8192 8346 8448 8502 9152 9416 9592 9984 10272 10464 11128 11264 11336 11663 12288 13312 13696 13728 13952 14124 14388 15301 15587 16692 16896 17004 18304 18832 19184 19968 20544 20928 22256 22528 22672 23326 24576 26624 27392 27456 27904 28248 28776 30602 31174 33384 33792 34008 34989 36608 37664 38368 39936 41088 41856 44512 45056 45344 45903 46652 46761 53248 54784 54912 55808 56496 57552 61204 62348 66768 67584 68016 69978 73216 75328 76736 79872 82176 83712 89024 90112 90688 91806 93304 93522 106496 109568 109824 111616 112992 115104 122408 124696 128293 133536 135168 136032 139956 146432 150656 151619 153472 159744 164352 167424 178048 181376 183612 186608 187044 219136 219648 223232 225984 230208 244816 249392 256586 267072 270336 272064 279912 292864 301312 303238 306944 319488 328704 334848 356096 362752 367224 373216 374088 384879 438272 439296 446464 451968 454857 460416 489632 498784 513172 534144 544128 559824 585728 602624 606476 613888 657408 669696 712192 725504 734448 746432 748176 769758 876544 878592 892928 903936 909714 920832 979264 997568 1026344 1068288 1088256 1119648 1171456 1205248 1212952 1227776 1314816 1339392 1424384 1451008 1468896 1492864 1496352 1539516 1667809 1757184 1807872 1819428 1841664 1958528 1995136 2052688 2136576 2176512 2239296 2410496 2425904 2455552 2629632 2678784 2848768 2902016 2937792 2985728 2992704 3079032 3335618 3514368 3615744 3638856 3683328 3917056 3990272 4105376 4273152 4353024 4478592 4820992 4851808 4911104 5003427 5697536 5804032 5875584 5971456 5985408 6158064 6671236 7231488 7277712 7366656 7834112 7980544 8210752 8546304 8706048 8957184 9641984 9703616 9822208 10006854 11395072 11608064 11751168 11942912 11970816 12316128 13342472 14462976 14555424 14733312 15668224 15961088 16421504 17092608 17412096 17914368 19407232 20013708 23502336 23885824 23941632 24632256 26684944 28925952 29110848 29466624 31336448 31922176 32843008 34185216 34824192 35828736 38814464 40027416 47004672 47771648 47883264 49264512 53369888 58221696 62672896 63844352 65686016 71657472 77628928 80054832 94009344 95543296 95766528 98529024 106739776 116443392 125345792 127688704 131372032 143314944 155257856 160109664 188018688 191533056 197058048 213479552 232886784 262744064 286629888 310515712 320219328 376037376 383066112 394116096 426959104 465773568 525488128 621031424 640438656 788232192 853918208 931547136 1050976256 1242062848 1280877312 1576464384 1707836416 1863094272 2561754624 3152928768 3415672832 3726188544 5123509248 6831345664 10247018496 13662691328 20494036992 40988073984
- Sum of all divisors σ(n): 130791386880
- Sum of proper divisors (its aliquot sum) s(n): 89803312896
- 40988073984 is an abundant number, because the sum of its proper divisors (89803312896) is greater than itself. Its abundance is 48815238912
Bases of 40988073984
- Binary: 1001100010110001010001100000000000002
- Hexadecimal: 0x98B146000
- Base-36: ITV8OAO
Squares and roots of 40988073984
- 40988073984 squared (409880739842) is 1680022208917857632256
- 40988073984 cubed (409880739843) is 68860874593888253209687992827904
-
The
square root of 40988073984 is 202455.1159738869 -
The
cube root of 40988073984 is 3447.8828706109
Scales and comparisons
How big is 40988073984?- 40,988,073,984 seconds is equal to 1,303 years, 15 weeks, 2 days, 6 minutes, 24 seconds.
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To count from 1 to 40,988,073,984 would take you about two thousand, six 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 40988073984 cubic inches would be around 287.3 feet tall.
Recreational maths with 40988073984
- 40988073984 backwards is 48937088904
- The number of decimal digits it has is: 11
- The sum of 40988073984's digits is 60
- More coming soon!
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