38643334396128
38,643,334,396,128 is an even composite number composed of five prime numbers multiplied together.
What does the number 38643334396128 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 1152 divisors.
38643334396128 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one thousand, one hundred fifty-two divisors.
Prime factorization of 38643334396128:
25 × 33 × 73 × 113 × 3132
(2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 7 × 7 × 7 × 11 × 11 × 11 × 313 × 313)See below for interesting mathematical facts about the number 38643334396128 from the Numbermatics database.
Names of 38643334396128
- Cardinal: 38643334396128 can be written as Thirty-eight trillion, six hundred forty-three billion, three hundred thirty-four million, three hundred ninety-six thousand, one hundred twenty-eight.
Scientific notation
- Scientific notation: 3.8643334396128 × 1013
Factors of 38643334396128
Divisors of 38643334396128
- Number of divisors d(n): 1152
-
Complete list of divisors:
1 2 3 4 6 7 8 9 11 12 14 16 18 21 22 24 27 28 32 33 36 42 44 48 49 54 56 63 66 72 77 84 88 96 98 99 108 112 121 126 132 144 147 154 168 176 189 196 198 216 224 231 242 252 264 288 294 297 308 313 336 343 352 363 378 392 396 432 441 462 484 504 528 539 588 594 616 626 672 686 693 726 756 784 792 847 864 882 924 939 968 1008 1029 1056 1078 1089 1176 1188 1232 1252 1323 1331 1372 1386 1452 1512 1568 1584 1617 1694 1764 1848 1878 1936 2016 2058 2079 2156 2178 2191 2352 2376 2464 2504 2541 2646 2662 2744 2772 2817 2904 3024 3087 3168 3234 3267 3388 3443 3528 3696 3756 3773 3872 3993 4116 4158 4312 4356 4382 4704 4752 4851 5008 5082 5292 5324 5488 5544 5634 5808 5929 6048 6174 6468 6534 6573 6776 6886 7056 7392 7512 7546 7623 7986 8232 8316 8451 8624 8712 8764 9261 9317 9504 9702 10016 10164 10329 10584 10648 10976 11088 11268 11319 11616 11858 11979 12348 12936 13068 13146 13552 13772 14112 14553 15024 15092 15246 15337 15972 16464 16632 16902 17248 17424 17528 17787 18522 18634 19404 19719 20328 20658 21168 21296 22176 22536 22638 22869 23716 23958 24101 24696 25872 26136 26292 27104 27544 27951 29106 30048 30184 30492 30674 30987 31944 32928 33264 33804 33957 34848 35056 35574 35937 37044 37268 37873 38808 39438 40656 41316 41503 42336 42592 45072 45276 45738 46011 47432 47916 48202 49392 51744 52272 52584 53361 55088 55902 58212 59157 60368 60984 61348 61974 63888 65219 66528 67608 67914 70112 71148 71874 72303 74088 74536 75746 77616 78876 81312 82632 83006 83853 90144 90552 91476 92022 92961 94864 95832 96404 97969 98784 101871 104544 105168 106722 107359 110176 111804 113619 116424 118314 120736 121968 122696 123948 124509 127776 130438 135216 135828 138033 142296 143748 144606 148176 149072 151492 155232 157752 160083 165264 166012 167706 168707 181104 182952 184044 185922 189728 191664 192808 195657 195938 203742 210336 213444 214718 216909 223608 227238 232848 236628 243936 245392 247896 249018 251559 260876 265111 270432 271656 276066 284592 287496 289212 293907 296352 298144 302984 315504 320166 322077 330528 332024 335412 337414 340857 362208 365904 368088 371844 373527 383328 385616 391314 391876 407484 414099 416603 426888 429436 433818 447216 454476 456533 465696 473256 490784 495792 498036 503118 506121 521752 530222 543312 552132 569184 574992 578424 586971 587814 605968 631008 640332 644154 650727 664048 670824 674828 681714 685783 731808 736176 743688 747054 771232 782628 783752 795333 814968 828198 833206 853776 858872 867636 881721 894432 908952 913066 946512 966231 991584 996072 1006236 1012242 1022571 1043504 1060444 1077659 1086624 1104264 1120581 1149984 1156848 1173942 1175628 1180949 1211936 1249809 1280664 1288308 1301454 1328096 1341648 1349656 1363428 1369599 1371566 1472352 1487376 1494108 1518363 1565256 1567504 1590666 1629936 1656396 1666412 1707552 1717744 1735272 1760913 1763442 1817904 1826132 1855777 1893024 1932462 1992144 2012472 2024484 2045142 2057349 2087008 2120888 2155318 2208528 2241162 2313696 2347884 2351256 2361898 2385999 2499618 2561328 2576616 2602908 2645163 2683296 2699312 2726856 2739198 2743132 2898693 2916221 2974752 2988216 3036726 3130512 3135008 3181332 3232977 3259872 3312792 3332824 3435488 3470544 3521826 3526884 3542847 3635808 3652264 3711554 3749427 3864924 3984288 4024944 4048968 4090284 4108797 4114698 4241776 4310636 4417056 4482324 4555089 4695768 4702512 4723796 4771998 4800481 4999236 5122656 5153232 5205816 5290326 5398624 5453712 5478396 5486264 5567331 5797386 5832442 5976432 6073452 6172047 6261024 6362664 6465954 6625584 6665648 6941088 7043652 7053768 7085694 7157997 7304528 7423108 7498854 7543613 7729848 8049888 8097936 8180568 8217594 8229396 8483552 8621272 8748663 8964648 9110178 9391536 9405024 9447592 9543996 9600962 9698931 9998472 10306464 10411632 10580652 10628541 10907424 10956792 10972528 11134662 11248281 11594772 11664884 11854249 11952864 12146904 12326391 12344094 12725328 12931908 12990439 13251168 13331296 14087304 14107536 14171388 14315994 14401443 14609056 14846216 14997708 15087226 15459696 16195872 16361136 16435188 16458792 16701993 17242544 17497326 17929296 18220356 18516141 18783072 18895184 19087992 19201924 19397862 19996944 20413547 20823264 21161304 21257082 21913584 21945056 22269324 22496562 22630839 23189544 23329768 23708498 24293808 24652782 24688188 25450656 25863816 25980878 26245989 28174608 28215072 28342776 28631988 28802886 29096793 29692432 29995416 30174452 30919392 31885623 32722272 32870376 32917584 33403986 33603367 34485088 34994652 35562747 35858592 36440712 37032282 37790368 38175984 38403848 38795724 38971317 39993888 40827094 42322608 42514164 43204329 43827168 44538648 44993124 45261678 46379088 46659536 47416996 48587616 49305564 49376376 50105979 51727632 51961756 52491978 52805291 56349216 56685552 57263976 57605772 58193586 59384864 59990832 60348904 61240641 63771246 65740752 65835168 66807972 67206734 67892517 69989304 71125494 72881424 74064564 76351968 76807696 77591448 77942634 78737967 81654188 82979743 84645216 85028328 86408658 89077296 89986248 90523356 92758176 93319072 94833992 98611128 98752752 100211958 100810101 103455264 103923512 104983956 105610582 106688241 113371104 114527952 115211544 116387172 116913951 119981664 120697808 122481282 127542492 129612987 130396739 131481504 133615944 134413468 135785034 139978608 142250988 142894829 145762848 148129128 153615392 155182896 155885268 157475934 158415873 163308376 165959486 170056656 172817316 178154592 179972496 181046712 183721923 189667984 197222256 197505504 200423916 201620202 203677551 207847024 209967912 211221164 213376482 229055904 230423088 232774344 233827902 241395616 244962564 248939229 255084984 259225974 260793478 267231888 268826936 271570068 279957216 284501976 285789658 296258256 302430303 310365792 311770536 314951868 316831746 320064723 326616752 331918972 340113312 345634632 350741853 359944992 362093424 367443846 369637037 379335968 391190217 394444512 400847832 403240404 407355102 415694048 419935824 422442328 426752964 428684487 460846176 465548688 467655804 475247619 489925128 497878458 510169968 518451948 521586956 534463776 537653872 543140136 551165769 569003952 571579316 580858201 592516512 604860606 623541072 629903736 633663492 640129446 653233504 663837944 691269264 701483706 724186848 734887692 739274074 746817687 782380434 801695664 806480808 814710204 839871648 844884656 853505928 857368974 907290909 912777173 931097376 935311608 950495238 979850256 995756916 1020339936 1036903896 1043173912 1075307744 1086280272 1102331538 1108911111 1138007904 1143158632 1161716402 1173570651 1209721212 1247082144 1259807472 1267326984 1280258892 1286053461 1327675888 1382538528 1402967412 1425742857 1469775384 1478548148 1493635374 1564760868 1603391328 1612961616 1629420408 1689769312 1707011856 1714737948 1742574603 1814581818 1825554346 1870623216 1900990476 1959700512 1991513832 2073807792 2086347824 2172560544 2204663076 2217822222 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15432641532 15683171427 16264029628 16429989114 17637304608 17742577776 17923624488 18587462432 18777130416 19168320633 19960399998 20576855376 20910895236 21906652152 22811885712 23898165984 24396044442 24644983671 25557760844 26613866664 27881193648 28165695624 29033309088 29208869536 30865283064 31366342854 32528059256 32859978228 35485155552 35847248976 36594066663 37554260832 38336641266 39920799996 41153710752 41821790472 43813304304 44726081477 45623771424 48792088884 49289967342 51115521688 53227733328 55762387296 56331391248 57504961899 61730566128 62732685708 65056118512 65719956456 71694497952 73188133326 76673282532 79841599992 83643580944 87626608608 89452162954 97584177768 98579934684 102231043376 106455466656 109782199989 112662782496 115009923798 123461132256 125465371416 130112237024 131439912912 134178244431 146376266652 153346565064 159683199984 167287161888 172514885697 178904325908 195168355536 197159869368 204462086752 219564399978 230019847596 250930742832 262879825824 268356488862 292752533304 306693130128 319366399968 345029771394 357808651816 390336711072 394319738736 402534733293 439128799956 460039695192 501861485664 536712977724 585505066608 613386260256 690059542788 715617303632 788639477472 805069466586 878257599912 920079390384 1073425955448 1171010133216 1207604199879 1380119085576 1431234607264 1610138933172 1756515199824 1840158780768 2146851910896 2415208399758 2760238171152 3220277866344 3513030399648 4293703821792 4830416799516 5520476342304 6440555732688 9660833599032 12881111465376 19321667198064 38643334396128
- Sum of all divisors σ(n): 145037402496000
- Sum of proper divisors (its aliquot sum) s(n): 106394068099872
- 38643334396128 is an abundant number, because the sum of its proper divisors (106394068099872) is greater than itself. Its abundance is 67750733703744
Bases of 38643334396128
- Binary: 10001100100101010110100011100000111000111000002
- Hexadecimal: 0x23255A3838E0
- Base-36: DP4I3K3C0
Squares and roots of 38643334396128
- 38643334396128 squared (386433343961282) is 1493307293250969378421392384
- 38643334396128 cubed (386433343961283) is 57706373089273986975030256575277578289152
-
The
square root of 38643334396128 is 6216376.3074743147 -
The
cube root of 38643334396128 is 33808.4191753451
Scales and comparisons
How big is 38643334396128?- 38,643,334,396,128 seconds is equal to 1,228,738 years, 26 weeks, 18 hours, 28 minutes, 48 seconds.
-
To count from 1 to 38,643,334,396,128 would take you about three million, seventy-one thousand, eight hundred forty-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 38643334396128 cubic inches would be around 2817.4 feet tall.
Recreational maths with 38643334396128
- 38643334396128 backwards is 82169343334683
- 38643334396128 is a
Harshad number . - The number of decimal digits it has is: 14
- The sum of 38643334396128's digits is 63
- More coming soon!
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The information we have on file for 38643334396128 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!
Keywords: Divisors of 38643334396128, math, Factors of 38643334396128, curriculum, school, college, exams, university, Prime factorization of 38643334396128, STEM, science, technology, engineering, physics, economics, calculator, thirty-eight trillion, six hundred forty-three billion, three hundred thirty-four million, three hundred ninety-six thousand, one hundred twenty-eight.