138385949664587301
138,385,949,664,587,301 is an odd composite number composed of five prime numbers multiplied together.
138385949664587301 is an odd composite number. It is composed of five distinct prime numbers multiplied together. It has a total of three hundred twenty divisors.
Prime factorization of 138385949664587301:
34 × 19 × 533 × 79 × 1973
(3 × 3 × 3 × 3 × 19 × 53 × 53 × 53 × 79 × 197 × 197 × 197)See below for interesting mathematical facts about the number 138385949664587301 from the Numbermatics database.
Names of 138385949664587301
- Cardinal: 138385949664587301 can be written as One hundred thirty-eight quadrillion, three hundred eighty-five trillion, nine hundred forty-nine billion, six hundred sixty-four million, five hundred eighty-seven thousand, three hundred one.
Scientific notation
- Scientific notation: 1.38385949664587301 × 1017
Factors of 138385949664587301
Divisors of 138385949664587301
- Number of divisors d(n): 320
-
Complete list of divisors:
1 3 9 19 27 53 57 79 81 159 171 197 237 477 513 591 711 1007 1431 1501 1539 1773 2133 2809 3021 3743 4187 4293 4503 5319 6399 8427 9063 10441 11229 12561 13509 15563 15957 25281 27189 31323 33687 37683 38809 40527 46689 53371 75843 79553 81567 93969 101061 113049 116427 121581 140067 148877 160113 198379 221911 227529 238659 281907 295697 303183 339147 349281 420201 446631 480339 553373 595137 665733 715977 737371 824839 845721 887091 1047843 1260603 1339893 1441017 1660119 1785411 1997199 2056877 2147931 2212113 2474517 2661273 2828663 3065911 3143529 4019679 4216309 4323051 4980357 5356233 5991597 6170631 6443793 6636339 7423551 7645373 7983819 8485989 9197733 10514087 11761283 12059037 12648927 14941071 15671941 16068699 17974791 18511893 19909017 22270653 22936119 23951457 25457967 27593199 29328769 31542261 35283849 37946781 39080663 43716467 44823213 47015823 55535679 58252309 59727051 66811959 68808357 76373901 82779597 87986307 94626783 105851547 109014481 113840343 117241989 131149401 141047469 145262087 162493283 166607037 174756927 206425071 223464377 229121703 248338791 263958921 283880349 317554641 327043443 341521029 351725967 393448203 405204769 423142407 435786261 487479849 524270781 557246611 603984467 619275213 670393131 791876763 830612873 851641047 952663923 981130329 1055177901 1180344609 1215614307 1269427221 1307358783 1462439547 1572812343 1671739833 1811953401 2011179393 2071275139 2316972751 2375630289 2491838619 2943390987 3087372377 3165533703 3541033827 3646842921 3922076349 4387318641 4718437029 5015219499 5435860203 5777767493 6033538179 6213825417 6950918253 7475515857 7698890611 8612143999 8830172961 9262117131 10940528763 11475704873 11766229047 13161955923 15045658497 16307580609 17333302479 18100614537 18641476251 20852754759 21475852757 22426547571 23096671833 25836431997 27786351393 32011176751 32821586289 34427114619 44022482269 45136975491 48922741827 51999907437 55924428753 62558264277 64427558271 67279642713 69290015499 77509295991 83359054179 96033530253 103281343857 109777582367 132067446807 155999722311 163630735981 167773286259 187674792831 193282674813 207870046497 232527887973 250077162537 288100590759 309844031571 329332747101 396202340421 408041202383 456443631947 467999166933 490892207943 579848024439 608212358269 623610139491 697583663919 864301772277 929532094713 987998241303 1138220196121 1188607021263 1224123607149 1369330895841 1472676623829 1696592367803 1739544073317 1824637074807 2592905316831 2963994723909 3414660588363 3565821063789 3672370821447 4107992687523 4418029871487 5089777103409 5473911224421 8672429006993 8891984171727 10243981765089 11017112464341 12323978062569 13254089614461 15269331310227 16421733673263 21626183726299 26017287020979 30731945295267 32235254988257 33051337393023 36971934187707 45807993930681 49265201019789 64878551178897 78051861062937 89919395493559 92195835885801 96705764964771 137423981792043 194635653536691 234155583188811 269758186480677 290117294894313 583906960610073 702466749566433 809274559442031 870351884682939 1708468514377621 1751720881830219 2427823678326093 2611055654048817 5125405543132863 7283471034978279 15376216629398589 46128649888195767 138385949664587301
- Sum of all divisors σ(n): 225742986184320000
- Sum of proper divisors (its aliquot sum) s(n): 87357036519732699
- 138385949664587301 is a deficient number, because the sum of its proper divisors (87357036519732699) is less than itself. Its deficiency is 51028913144854602
Bases of 138385949664587301
- Binary: 1111010111010010101001001101110111010100110101110001001012
- Hexadecimal: 0x1EBA549BBA9AE25
- Base-36: 11ULQ3MQYHB9
Squares and roots of 138385949664587301
- 138385949664587301 squared (1383859496645873012) is 19150671064569690126143578650464601
- 138385949664587301 cubed (1383859496645873013) is 2650183801984609639883475929140793574084840574631901
-
The
square root of 138385949664587301 is 372002620.5076884953 -
The
cube root of 138385949664587301 is 517246.2286324219
Scales and comparisons
How big is 138385949664587301?- 138,385,949,664,587,301 seconds is equal to 4,400,245,143 years, 25 weeks, 2 days, 28 minutes, 21 seconds.
-
To count from 1 to 138,385,949,664,587,301 would take you about thirteen billion, two hundred million, seven hundred thirty-five thousand, four hundred thirty 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 138385949664587301 cubic inches would be around 43103.9 feet tall.
Recreational maths with 138385949664587301
- 138385949664587301 backwards is 103785466949583831
- The number of decimal digits it has is: 18
- The sum of 138385949664587301's digits is 90
- More coming soon!
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