38742797968896
38,742,797,968,896 is an even composite number composed of six prime numbers multiplied together.
What does the number 38742797968896 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 960 divisors.
38742797968896 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of nine hundred sixty divisors.
Prime factorization of 38742797968896:
29 × 3 × 72 × 313 × 37 × 467
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 7 × 7 × 31 × 31 × 31 × 37 × 467)See below for interesting mathematical facts about the number 38742797968896 from the Numbermatics database.
Names of 38742797968896
- Cardinal: 38742797968896 can be written as Thirty-eight trillion, seven hundred forty-two billion, seven hundred ninety-seven million, nine hundred sixty-eight thousand, eight hundred ninety-six.
Scientific notation
- Scientific notation: 3.8742797968896 × 1013
Factors of 38742797968896
Divisors of 38742797968896
- Number of divisors d(n): 960
-
Complete list of divisors:
1 2 3 4 6 7 8 12 14 16 21 24 28 31 32 37 42 48 49 56 62 64 74 84 93 96 98 111 112 124 128 147 148 168 186 192 196 217 222 224 248 256 259 294 296 336 372 384 392 434 444 448 467 496 512 518 588 592 651 672 744 768 777 784 868 888 896 934 961 992 1036 1147 1176 1184 1302 1344 1401 1488 1519 1536 1554 1568 1736 1776 1792 1813 1868 1922 1984 2072 2294 2352 2368 2604 2688 2802 2883 2976 3038 3108 3136 3269 3441 3472 3552 3584 3626 3736 3844 3968 4144 4557 4588 4704 4736 5208 5376 5439 5604 5766 5952 6076 6216 6272 6538 6727 6882 6944 7104 7252 7472 7688 7936 8029 8288 9114 9176 9408 9472 9807 10416 10752 10878 11208 11532 11904 12152 12432 12544 13076 13454 13764 13888 14208 14477 14504 14944 15376 15872 16058 16576 17279 18228 18352 18816 18944 19614 20181 20832 21756 22416 22883 23064 23808 24087 24304 24864 25088 26152 26908 27528 27776 28416 28954 29008 29791 29888 30752 32116 33152 34558 35557 36456 36704 37632 39228 40362 41664 43431 43512 44832 45766 46128 47089 47616 48174 48608 49728 51837 52304 53816 55056 55552 56203 56832 57908 58016 59582 59776 61504 64232 66304 68649 69116 71114 72912 73408 75264 78456 80724 83328 86862 87024 89373 89664 91532 92256 94178 96348 97216 99456 101339 103674 104608 106671 107632 110112 111104 112406 115816 116032 119164 119552 120953 123008 128464 132608 137298 138232 141267 142228 145824 146816 156912 161448 166656 168609 173724 174048 178746 179328 183064 184512 188356 192696 194432 198912 202678 207348 208537 209216 213342 215264 220224 224812 231632 232064 238328 239104 241906 246016 248899 256928 274596 276464 282534 284456 291648 293632 304017 313824 322896 333312 337218 347448 348096 357492 358656 362859 366128 369024 376712 385392 388864 397824 405356 414696 417074 418432 426684 430528 440448 448787 449624 463264 464128 476656 483812 492032 497798 513856 535649 549192 552928 565068 568912 583296 587264 608034 625611 627648 645792 674436 694896 696192 709373 714984 717312 725718 732256 738048 746697 753424 770784 777728 810712 829392 834148 836864 846671 853368 861056 880896 897574 899248 926528 928256 953312 967624 995596 1027712 1071298 1098384 1102267 1105856 1130136 1137824 1166592 1216068 1251222 1255296 1291584 1346361 1348872 1389792 1392384 1418746 1429968 1451436 1459759 1464512 1476096 1493394 1506848 1541568 1606947 1621424 1658784 1668296 1673728 1693342 1706736 1722112 1742293 1761792 1795148 1798496 1853056 1906624 1935248 1991192 2055424 2128119 2142596 2196768 2204534 2211712 2260272 2275648 2333184 2432136 2502444 2510592 2540013 2583168 2692722 2697744 2779584 2784768 2837492 2859936 2902872 2919518 2929024 2986788 3013696 3083136 3141509 3213894 3242848 3306801 3317568 3336592 3386684 3413472 3444224 3484586 3590296 3596992 3706112 3749543 3813248 3870496 3982384 4110848 4256238 4285192 4379277 4393536 4409068 4423424 4520544 4551296 4864272 5004888 5021184 5080026 5166336 5226879 5385444 5395488 5559168 5674984 5719872 5805744 5839036 5858048 5973576 6027392 6166272 6283018 6427788 6485696 6613602 6635136 6673184 6773368 6826944 6969172 7180592 7193984 7412224 7499086 7626496 7715869 7740992 7964768 8512476 8570384 8758554 8787072 8818136 8846848 9041088 9102592 9424527 9728544 10009776 10160052 10332672 10453758 10770888 10790976 11118336 11248629 11349968 11439744 11611488 11678072 11716096 11947152 12054784 12332544 12566036 12855576 12971392 13227204 13270272 13346368 13546736 13653888 13912397 13938344 14361184 14387968 14998172 15252992 15431738 15481984 15929536 16605119 17024952 17140768 17517108 17574144 17636272 18082176 18205184 18849054 19457088 20019552 20320104 20907516 21541776 21581952 21990563 22236672 22497258 22699936 22879488 23147607 23222976 23356144 23894304 24109568 25132072 25711152 25942784 26246801 26454408 26540544 26692736 27093472 27307776 27824794 27876688 28722368 28775936 29996344 30863476 30963968 31859072 33210238 34049904 34281536 35034216 35148288 35272544 36164352 37698108 38914176 40039104 40640208 41737191 41815032 43083552 43163904 43981126 44994516 45399872 45758976 46295214 46445952 46712288 47788608 49815357 50264144 51422304 51885568 52493602 52908816 53385472 54011083 54186944 54615552 55649588 55753376 57444736 59992688 61726952 61927936 63718144 65971689 66420476 68099808 68563072 70068432 70545088 72328704 75396216 77828352 78740403 80078208 81280416 83474382 83630064 86167104 86327808 87962252 89989032 90799744 92590428 92891904 93424576 95577216 97386779 99630714 100528288 102844608 104987204 105817632 106770944 108022166 108373888 111299176 111506752 114889472 116235833 119985376 123453904 127436288 131943378 132840952 136199616 137126144 140136864 141090176 150792432 155656704 157480806 160156416 162033249 162560832 166948764 167260128 172334208 175924504 179978064 181599488 185180856 185783808 186849152 191154432 194773558 199261428 201056576 205689216 209974408 211635264 216044332 216747776 222598352 223013504 229778944 232471666 239970752 246907808 263886756 265681904 272399232 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2111094048 2125455232 2242189824 2337282696 2412678912 2440952493 2519692896 2592531984 2671180224 2676162048 2726829812 2789659992 2814792064 2879649024 2962893696 3088552134 3116376928 3188182848 3254603324 3359590528 3456709312 3561573632 3603310823 3719546656 3950524928 4090244718 4118069512 4222188096 4250910464 4674565392 4825357824 4881904986 5039385792 5185063968 5342360448 5453659624 5579319984 5629584128 5759298048 5925787392 6177104268 6232753856 6376365696 6509206648 6719181056 6913418624 7123147264 7206621646 7439093312 8180489436 8236139024 8444376192 8501820928 9349130784 9763809972 10078771584 10370127936 10684720896 10809932469 10907319248 11158639968 11259168256 11851574784 12354208536 12465507712 12752731392 13018413296 13438362112 13826837248 14413243292 14878186624 16360978872 16472278048 16888752384 18698261568 19527619944 20157543168 20740255872 21369441792 21619864938 21814638496 22317279936 24708417072 24931015424 25223175761 25505462784 26036826592 27653674496 28826486584 29756373248 32721957744 32944556096 33777504768 37396523136 39055239888 40315086336 41480511744 43239729876 43629276992 44634559872 49416834144 49862030848 50446351522 52073653184 57652973168 59512746496 65443915488 65889112192 74793046272 75669527283 78110479776 82961023488 86479459752 87258553984 89269119744 98833668288 100892703044 104147306368 115305946336 130887830976 131778224384 149586092544 151339054566 156220959552 172958919504 174517107968 178538239488 197667336576 201785406088 208294612736 230611892672 261775661952 263556448768 302678109132 312441919104 345917839008 349034215936 395334673152 403570812176 416589225472 461223785344 523551323904 605356218264 624883838208 691835678016 790669346304 807141624352 922447570688 1047102647808 1210712436528 1249767676416 1383671356032 1614283248704 1844895141376 2421424873056 2767342712064 3228566497408 4842849746112 5534685424128 6457132994816 9685699492224 12914265989632 19371398984448 38742797968896
- Sum of all divisors σ(n): 127692379736064
- Sum of proper divisors (its aliquot sum) s(n): 88949581767168
- 38742797968896 is an abundant number, because the sum of its proper divisors (88949581767168) is greater than itself. Its abundance is 50206783798272
Bases of 38742797968896
- Binary: 10001100111100100000101011010111100110000000002
- Hexadecimal: 0x233C82B5E600
- Base-36: DQE71LN9C
Squares and roots of 38742797968896
- 38742797968896 squared (387427979688962) is 1501004394458692022983458816
- 38742797968896 cubed (387427979688963) is 58153110004938183705416345566729664987136
-
The
square root of 38742797968896 is 6224371.2910539005 -
The
cube root of 38742797968896 is 33837.4006737643
Scales and comparisons
How big is 38742797968896?- 38,742,797,968,896 seconds is equal to 1,231,901 years, 7 weeks, 12 hours, 41 minutes, 36 seconds.
-
To count from 1 to 38,742,797,968,896 would take you about three million, seventy-nine thousand, seven hundred fifty-two 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 38742797968896 cubic inches would be around 2819.8 feet tall.
Recreational maths with 38742797968896
- 38742797968896 backwards is 69886979724783
- 38742797968896 is a
Harshad number . - The number of decimal digits it has is: 14
- The sum of 38742797968896's digits is 93
- More coming soon!
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The information we have on file for 38742797968896 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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