3993097137701217
3,993,097,137,701,217 is an odd composite number composed of seven prime numbers multiplied together.
3993097137701217 is an odd composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of six hundred forty-eight divisors.
Prime factorization of 3993097137701217:
3 × 72 × 13 × 172 × 47 × 792 × 1572
(3 × 7 × 7 × 13 × 17 × 17 × 47 × 79 × 79 × 157 × 157)See below for interesting mathematical facts about the number 3993097137701217 from the Numbermatics database.
Names of 3993097137701217
- Cardinal: 3993097137701217 can be written as Three quadrillion, nine hundred ninety-three trillion, ninety-seven billion, one hundred thirty-seven million, seven hundred one thousand, two hundred seventeen.
Scientific notation
- Scientific notation: 3.993097137701217 × 1015
Factors of 3993097137701217
Divisors of 3993097137701217
- Number of divisors d(n): 648
-
Complete list of divisors:
1 3 7 13 17 21 39 47 49 51 79 91 119 141 147 157 221 237 273 289 329 357 471 553 611 637 663 799 833 867 987 1027 1099 1343 1547 1659 1833 1911 2023 2041 2303 2397 2499 2669 3081 3297 3713 3757 3871 4029 4277 4641 5593 6069 6123 6241 6909 7189 7379 7693 8007 9401 10387 10829 11139 11271 11613 12403 12831 13583 14161 14287 16779 17459 18683 18723 21567 22137 22831 23079 24649 25991 26299 28203 29939 31161 32487 34697 37209 39151 40749 42483 42861 43687 45373 48269 50323 51653 52377 56049 63121 65807 68493 72709 73947 77973 78897 81133 86821 89817 95081 95927 100009 104091 106097 117453 122213 125443 130781 131061 136119 144807 150969 154959 159817 161239 172543 176579 181937 184093 189363 197421 210851 218127 242879 243399 260463 285243 287781 293327 296803 300027 305809 317611 318291 320437 337883 361571 366639 376329 392343 419033 441847 479451 483717 508963 517629 529737 545811 552279 567931 582941 589849 607747 632553 665567 671489 728637 742679 820573 855491 878101 879981 890409 917427 952833 961311 979837 1013649 1073057 1084713 1118719 1128673 1158503 1207801 1236053 1257099 1325541 1379261 1475957 1526889 1630759 1700153 1703793 1748823 1769547 1803649 1823241 1947271 1996701 2014467 2053289 2077621 2132531 2223277 2228037 2243059 2365181 2461719 2566473 2634303 2741063 2933231 2939511 3092929 3219171 3356157 3386019 3475509 3584467 3623403 3708159 3813251 3975517 4080587 4128943 4137783 4427871 4700423 4892277 4986559 5100459 5198753 5410947 5447429 5744011 5841813 6146707 6159867 6232863 6397593 6669831 6729177 6858859 7095543 7123561 7511399 7578233 7900711 8109521 8223189 8652371 8799693 9278787 9654827 9909997 10331699 10753401 11415313 11439753 11926551 12241761 12386829 12625543 12737881 13630897 13949741 14101269 14373023 14543347 14927717 14959677 15060539 15596259 15701413 16342287 16657229 17232033 18440121 19187441 19694551 20532617 20576577 21370683 22534197 22734699 23447437 23702133 24328563 25091269 25314523 25957113 26692757 27722903 28564109 28902601 28964481 29729991 30995097 33103607 34245939 34905913 37876629 38132003 38213643 40208077 40892691 41849223 43119069 43630041 44783151 45181617 46052339 46598071 47104239 48012013 49864927 49971687 52579793 53047631 56766647 57562323 59083653 61597851 64825267 67583789 69369979 70342311 75273807 75943569 79907191 80078271 83168709 84771503 85692327 86707803 88378801 89165167 91521737 92606293 95416279 97648187 99310821 104494019 104717739 105423773 114396009 116600603 120624231 128829961 134312087 137861857 138157017 139794213 144036039 149594781 153834409 157739379 159142893 164132059 168469949 170299941 175638883 177201661 186849299 194060321 194475801 202751367 208109937 216543977 231725249 239721573 244341391 254314509 256029163 265136403 266924021 267495501 274565211 277818879 283172893 286248837 292944561 313482057 316271319 322366373 326186497 334807367 349054489 349801809 371333417 386489883 402936261 413585571 430346891 453776869 461503227 485589853 492396177 505409847 526916649 531604983 560547897 562761319 582180963 593400521 598680407 624156169 640652159 648244051 649631931 683537309 695175747 733024173 737966411 768087489 782889763 800772063 816204221 849518679 901809727 965032999 967099119 978559491 1004422101 1047163467 1076840863 1102029539 1114000251 1148924413 1179289643 1189782581 1240411627 1291040673 1358422247 1361330607 1456769559 1515807839 1555869529 1622076743 1688283957 1780201563 1792204141 1796041221 1872468507 1921956477 1944732153 1982210251 1999847317 2050611927 2190109337 2213899233 2256564611 2283305479 2343651569 2348669289 2448612663 2615184953 2705429181 2895098997 3012428237 3176438083 3230522589 3306088617 3446773239 3537868929 3569347743 3681247609 3721234881 3939329233 4075266741 4153803647 4190762849 4352495771 4484565113 4537708357 4547423517 4667608587 4866230229 5376612423 5480228341 5946630753 5999541951 6312668089 6570328011 6769693833 6849916437 7030954707 7230217223 7315897147 7537886041 7714206773 7845554859 8255027501 8328478067 9037284711 9529314249 10177566919 10610654873 10891086703 11043742827 11817987699 12461410941 12545428987 12572288547 13057487313 13309125971 13453695339 13613125071 13875471757 13998931219 15330765359 16405560983 16440685023 18306294671 18938004267 20226303877 21086997659 21690651669 21947691441 22613658123 23142620319 24765082503 24985434201 25768733263 26449781993 27575304631 29335339943 30467470397 30532700757 31831964619 32673260109 33997404389 37636286961 38361598387 39927377913 41626415271 41996793657 44458144201 45992296077 49216682949 50611520561 51211280029 53999447411 54918884013 58299346469 60678911631 63260992977 71242968433 76237606921 77306199789 79349345979 82725913893 88006019829 91402411191 93163881797 93992823899 97992518533 101992213167 107315357513 115084795161 122913692791 128144062697 133374432603 141584127139 151834561683 153633840087 161998342233 173018637623 174898039407 180381132841 185148473951 213272292779 213728905299 228712820763 237981830723 279491645391 281978471697 293977555599 311207009407 321946072539 343847165909 354280643927 358478960203 368741078373 384432188091 424752381417 498700779031 519055912869 541143398523 555445421853 577955874613 639816878337 652147172579 657949767293 713945492169 860395849537 933621028221 991088889973 1031541497727 1062841931781 1075436880609 1211130463361 1296039317657 1496102337093 1597878006283 1665872815061 1733867623839 1956441517737 1973849301879 2089532777447 2178449065849 2406930161363 2581187548611 2973266669919 3633391390083 3888117952971 4045691122291 4605648371051 4793634018849 4997618445183 6022770946759 6268598332341 6535347197547 7220790484089 8477913243527 11185146043981 12137073366873 13816945113153 14626729442129 16848511129541 18068312840277 25433739730581 27163926106811 28319837856037 33555438131943 43880188326387 50545533388623 78296022307867 81491778320433 84959513568111 102387106094903 190147482747677 234888066923601 307161318284709 570442448243031 1331032379233739 3993097137701217
- Sum of all divisors σ(n): 7375687918913664
- Sum of proper divisors (its aliquot sum) s(n): 3382590781212447
- 3993097137701217 is a deficient number, because the sum of its proper divisors (3382590781212447) is less than itself. Its deficiency is 610506356488770
Bases of 3993097137701217
- Binary: 11100010111110110011011000000111001001000001011000012
- Hexadecimal: 0xE2FB360724161
- Base-36: 13BFNI12OGX
Squares and roots of 3993097137701217
- 3993097137701217 squared (39930971377012172) is 15944824751117651959723163281089
- 3993097137701217 cubed (39930971377012173) is 63669234074835415768037469164541209528668385313
-
The
square root of 3993097137701217 is 63190957.7210317093 -
The
cube root of 3993097137701217 is 158648.7391954477
Scales and comparisons
How big is 3993097137701217?- 3,993,097,137,701,217 seconds is equal to 126,968,137 years, 26 weeks, 6 days, 17 hours, 26 minutes, 57 seconds.
-
To count from 1 to 3,993,097,137,701,217 would take you about three hundred eighty million, nine hundred four thousand, four hundred twelve 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 3993097137701217 cubic inches would be around 13220.7 feet tall.
Recreational maths with 3993097137701217
- 3993097137701217 backwards is 7121077317903993
- The number of decimal digits it has is: 16
- The sum of 3993097137701217's digits is 69
- More coming soon!
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