3972989967718968
3,972,989,967,718,968 is an even composite number composed of four prime numbers multiplied together.
3972989967718968 is an even composite number. It is composed of four distinct prime numbers multiplied together. It has a total of six hundred forty divisors.
Prime factorization of 3972989967718968:
23 × 39 × 73 × 4193
(2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 7 × 7 × 7 × 419 × 419 × 419)See below for interesting mathematical facts about the number 3972989967718968 from the Numbermatics database.
Names of 3972989967718968
- Cardinal: 3972989967718968 can be written as Three quadrillion, nine hundred seventy-two trillion, nine hundred eighty-nine billion, nine hundred sixty-seven million, seven hundred eighteen thousand, nine hundred sixty-eight.
Scientific notation
- Scientific notation: 3.972989967718968 × 1015
Factors of 3972989967718968
Divisors of 3972989967718968
- Number of divisors d(n): 640
-
Complete list of divisors:
1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 42 49 54 56 63 72 81 84 98 108 126 147 162 168 189 196 216 243 252 294 324 343 378 392 419 441 486 504 567 588 648 686 729 756 838 882 972 1029 1134 1176 1257 1323 1372 1458 1512 1676 1701 1764 1944 2058 2187 2268 2514 2646 2744 2916 2933 3087 3352 3402 3528 3771 3969 4116 4374 4536 5028 5103 5292 5832 5866 6174 6561 6804 7542 7938 8232 8748 8799 9261 10056 10206 10584 11313 11732 11907 12348 13122 13608 15084 15309 15876 17496 17598 18522 19683 20412 20531 22626 23464 23814 24696 26244 26397 27783 30168 30618 31752 33939 35196 35721 37044 39366 40824 41062 45252 45927 47628 52488 52794 55566 61236 61593 67878 70392 71442 74088 78732 79191 82124 83349 90504 91854 95256 101817 105588 107163 111132 122472 123186 135756 137781 142884 143717 157464 158382 164248 166698 175561 183708 184779 203634 211176 214326 222264 237573 246372 250047 271512 275562 285768 287434 305451 316764 321489 333396 351122 367416 369558 407268 428652 431151 475146 492744 500094 526683 551124 554337 574868 610902 633528 642978 666792 702244 712719 739116 750141 814536 857304 862302 916353 950292 964467 1000188 1053366 1102248 1108674 1149736 1221804 1228927 1285956 1293453 1404488 1425438 1478232 1500282 1580049 1663011 1724604 1832706 1900584 1928934 2000376 2106732 2138157 2217348 2250423 2443608 2457854 2571912 2586906 2749059 2850876 3000564 3160098 3326022 3449208 3665412 3686781 3857868 3880359 4213464 4276314 4434696 4500846 4740147 4915708 4989033 5173812 5498118 5701752 6001128 6320196 6414471 6652044 6751269 7330824 7373562 7715736 7760718 8247177 8552628 8602489 9001692 9480294 9831416 9978066 10347624 10996236 11060343 11641077 12640392 12828942 13304088 13502538 14220441 14747124 14967099 15521436 16494354 17105256 17204978 18003384 18960588 19243413 19956132 21992472 22120686 23282154 25657884 25807467 27005076 28440882 29494248 29934198 31042872 32988708 33181029 34409956 34923231 37921176 38486826 39912264 42661323 44241372 44901297 46564308 51315768 51614934 54010152 56881764 57730239 59868396 60217423 65977416 66362058 68819912 69846462 73560059 76973652 77422401 85322646 88482744 89802594 93128616 99543087 103229868 104769693 113763528 115460478 119736792 120434846 127983969 132724116 134703891 139692924 147120118 153947304 154844802 170645292 179605188 180652269 199086174 206459736 209539386 220680177 230920956 232267203 240869692 255967938 265448232 269407782 279385848 294240236 298629261 309689604 314309079 341290584 359210376 361304538 383951907 398172348 404111673 419078772 441360354 461841912 464534406 481739384 511935876 514920413 538815564 541956807 588480472 597258522 619379208 628618158 662040531 696801609 722609076 767903814 796344696 808223346 838157544 882720708 895887783 929068812 942927237 1023871752 1029840826 1077631128 1083913614 1151855721 1194517044 1257236316 1324081062 1393603218 1445218152 1535807628 1544761239 1616446692 1625870421 1765441416 1791775566 1858137624 1885854474 1986121593 2059681652 2090404827 2167827228 2303711442 2389034088 2514472632 2648162124 2687663349 2787206436 2828781711 3071615256 3089522478 3232893384 3251740842 3455567163 3583551132 3604442891 3771708948 3972243186 4119363304 4180809654 4335654456 4607422884 4634283717 4877611263 5296324248 5375326698 5574412872 5657563422 5958364779 6179044956 6271214481 6503481684 6911134326 7167102264 7208885782 7543417896 7944486372 8062990047 8361619308 9214845768 9268567434 9755222526 10750653396 10813328673 11315126844 11916729558 12358089912 12542428962 13006963368 13822268652 13902851151 14417771564 14632833789 15888972744 16125980094 16723238616 17875094337 18537134868 18813643443 19510445052 21501306792 21626657346 22630253688 23833459116 24188970141 25084857924 25231100237 27644537304 27805702302 28835543128 29265667578 32251960188 32439986019 35750188674 37074269736 37627286886 39020890104 41708553453 43253314692 43898501367 47666918232 48377940282 50169715848 50462200474 53625283011 55611404604 56440930329 58531335156 64503920376 64879972038 71500377348 75254573772 75693300711 83417106906 86506629384 87797002734 96755880564 97319958057 100924400948 107250566022 111222809208 112881860658 117062670312 125125660359 129759944076 131695504101 143000754696 150509147544 151386601422 160875849033 166834213812 169322790987 175594005468 193511761128 194639916114 201848801896 214501132044 225763721316 227079902133 250251320718 259519888152 263391008202 291959874171 302773202844 321751698066 333668427624 338645581974 351188010936 375376981077 389279832228 395086512303 429002264088 451527442632 454159804266 482627547099 500502641436 526782016404 583919748342 605546405688 643503396132 677291163948 681239706399 750753962154 778559664456 790173024606 875879622513 908319608532 965255094198 1001005282872 1053564032808 1126130943231 1167839496684 1185259536909 1287006792264 1354582327896 1362479412798 1447882641297 1501507924308 1580346049212 1751759245026 1816639217064 1930510188396 2043719119197 2252261886462 2335678993368 2370519073818 2627638867539 2724958825596 2895765282594 3003015848616 3160692098424 3378392829693 3503518490052 3861020376792 4087438238394 4504523772924 4741038147636 5255277735078 5449917651192 5791530565188 6131157357591 6756785659386 7007036980104 7882916602617 8174876476788 9009047545848 9482076295272 10135178489079 10510555470156 11583061130376 12262314715182 13513571318772 15765833205234 16349752953576 18393472072773 20270356978158 21021110940312 23648749807851 24524629430364 27027142637544 31531666410468 36786944145546 40540713956316 47297499615702 49049258860728 55180416218319 63063332820936 70946249423553 73573888291092 81081427912632 94594999231404 110360832436638 141892498847106 147147776582184 165541248654957 189189998462808 220721664873276 283784997694212 331082497309914 441443329746552 496623745964871 567569995388424 662164994619828 993247491929742 1324329989239656 1986494983859484 3972989967718968
- Sum of all divisors σ(n): 13061897069760000
- Sum of proper divisors (its aliquot sum) s(n): 9088907102041032
- 3972989967718968 is an abundant number, because the sum of its proper divisors (9088907102041032) is greater than itself. Its abundance is 5115917134322064
Bases of 3972989967718968
- Binary: 11100001110101101001110011111011100011011010001110002
- Hexadecimal: 0xE1D69CFB8DA38
- Base-36: 134B2E77VI0
Squares and roots of 3972989967718968
- 3972989967718968 squared (39729899677189682) is 15784649283595566390705026985024
- 3972989967718968 cubed (39729899677189683) is 62712253247687580682081611444757023095576735232
-
The
square root of 3972989967718968 is 63031658.4560407073 -
3972989967718968 is a
perfect cube number . Itscube root is 158382
Scales and comparisons
How big is 3972989967718968?- 3,972,989,967,718,968 seconds is equal to 126,328,791 years, 36 weeks, 5 days, 22 hours, 22 minutes, 48 seconds.
-
To count from 1 to 3,972,989,967,718,968 would take you about three hundred seventy-eight million, nine hundred eighty-six thousand, three hundred seventy-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 3972989967718968 cubic inches would be around 13198.5 feet tall.
Recreational maths with 3972989967718968
- 3972989967718968 backwards is 8698177699892793
- 3972989967718968 is a
Harshad number . - The number of decimal digits it has is: 16
- The sum of 3972989967718968's digits is 108
- More coming soon!
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