138099560546304
138,099,560,546,304 is an even composite number composed of five prime numbers multiplied together.
What does the number 138099560546304 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 1104 divisors.
138099560546304 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one thousand, one hundred four divisors.
Prime factorization of 138099560546304:
222 × 33 × 72 × 41 × 607
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 7 × 7 × 41 × 607)See below for interesting mathematical facts about the number 138099560546304 from the Numbermatics database.
Names of 138099560546304
- Cardinal: 138099560546304 can be written as One hundred thirty-eight trillion, ninety-nine billion, five hundred sixty million, five hundred forty-six thousand, three hundred four.
Scientific notation
- Scientific notation: 1.38099560546304 × 1014
Factors of 138099560546304
Divisors of 138099560546304
- Number of divisors d(n): 1104
-
Complete list of divisors:
1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 32 36 41 42 48 49 54 56 63 64 72 82 84 96 98 108 112 123 126 128 144 147 164 168 189 192 196 216 224 246 252 256 287 288 294 328 336 369 378 384 392 432 441 448 492 504 512 574 576 588 607 656 672 738 756 768 784 861 864 882 896 984 1008 1024 1107 1148 1152 1176 1214 1312 1323 1344 1476 1512 1536 1568 1722 1728 1764 1792 1821 1968 2009 2016 2048 2214 2296 2304 2352 2428 2583 2624 2646 2688 2952 3024 3072 3136 3444 3456 3528 3584 3642 3936 4018 4032 4096 4249 4428 4592 4608 4704 4856 5166 5248 5292 5376 5463 5904 6027 6048 6144 6272 6888 6912 7056 7168 7284 7749 7872 8036 8064 8192 8498 8856 9184 9216 9408 9712 10332 10496 10584 10752 10926 11808 12054 12096 12288 12544 12747 13776 13824 14112 14336 14568 15498 15744 16072 16128 16384 16389 16996 17712 18081 18368 18432 18816 19424 20664 20992 21168 21504 21852 23616 24108 24192 24576 24887 25088 25494 27552 27648 28224 28672 29136 29743 30996 31488 32144 32256 32768 32778 33992 35424 36162 36736 36864 37632 38241 38848 41328 41984 42336 43008 43704 47232 48216 48384 49152 49774 50176 50988 54243 55104 55296 56448 57344 58272 59486 61992 62976 64288 64512 65536 65556 67984 70848 72324 73472 73728 74661 75264 76482 77696 82656 83968 84672 86016 87408 89229 94464 96432 96768 98304 99548 100352 101976 108486 110208 110592 112896 114688 114723 116544 118972 123984 125952 128576 129024 131072 131112 135968 141696 144648 146944 147456 149322 150528 152964 155392 165312 167936 169344 172032 174209 174816 178458 188928 192864 193536 196608 199096 200704 203952 216972 220416 221184 223983 225792 229376 229446 233088 237944 247968 251904 257152 258048 262144 262224 267687 271936 283392 289296 293888 294912 298644 301056 305928 310784 330624 335872 338688 344064 348418 349632 356916 377856 385728 387072 393216 398192 401408 407904 433944 440832 442368 447966 451584 458752 458892 466176 475888 495936 503808 514304 516096 522627 524288 524448 535374 543872 566784 578592 587776 589824 597288 602112 611856 621568 661248 671744 671949 677376 688128 696836 699264 713832 755712 771456 774144 786432 796384 802816 803061 815808 867888 881664 884736 895932 903168 917504 917784 932352 951776 991872 1007616 1028608 1032192 1045254 1048576 1048896 1070748 1087744 1133568 1157184 1175552 1179648 1194576 1204224 1219463 1223712 1243136 1322496 1343488 1343898 1354752 1376256 1393672 1398528 1427664 1511424 1542912 1548288 1567881 1572864 1592768 1605632 1606122 1631616 1735776 1763328 1769472 1791864 1806336 1835008 1835568 1864704 1903552 1983744 2015232 2057216 2064384 2090508 2097152 2097792 2141496 2175488 2267136 2314368 2351104 2359296 2389152 2408448 2438926 2447424 2486272 2644992 2686976 2687796 2709504 2752512 2787344 2797056 2855328 3022848 3085824 3096576 3135762 3145728 3185536 3211264 3212244 3263232 3471552 3526656 3538944 3583728 3612672 3658389 3670016 3671136 3729408 3807104 3967488 4030464 4114432 4128768 4181016 4194304 4195584 4282992 4350976 4534272 4628736 4702208 4703643 4718592 4778304 4816896 4877852 4894848 4972544 5289984 5373952 5375592 5419008 5505024 5574688 5594112 5710656 6045696 6171648 6193152 6271524 6291456 6371072 6422528 6424488 6526464 6943104 7053312 7077888 7167456 7225344 7316778 7340032 7342272 7458816 7614208 7934976 8060928 8228864 8257536 8362032 8391168 8565984 8701952 9068544 9257472 9404416 9407286 9437184 9556608 9633792 9755704 9789696 9945088 10579968 10747904 10751184 10838016 10975167 11010048 11149376 11188224 11421312 12091392 12343296 12386304 12543048 12582912 12742144 12845056 12848976 13052928 13886208 14106624 14155776 14334912 14450688 14633556 14680064 14684544 14917632 15228416 15869952 16121856 16457728 16515072 16724064 16782336 17131968 17403904 18137088 18514944 18808832 18814572 18874368 19113216 19267584 19511408 19579392 19890176 21159936 21495808 21502368 21676032 21950334 22020096 22298752 22376448 22842624 24182784 24686592 24772608 25086096 25484288 25690112 25697952 26105856 27772416 28213248 28311552 28669824 28901376 29267112 29360128 29369088 29835264 30456832 31739904 32243712 32915456 32925501 33030144 33448128 33564672 34263936 34807808 36274176 37029888 37617664 37629144 37748736 38226432 38535168 39022816 39158784 39780352 42319872 42991616 43004736 43352064 43900668 44040192 44597504 44752896 45685248 48365568 49373184 49545216 50172192 50968576 51380224 51395904 52211712 55544832 56426496 56623104 57339648 57802752 58534224 58738176 59670528 60913664 63479808 64487424 65830912 65851002 66060288 66896256 67129344 68527872 69615616 72548352 74059776 75235328 75258288 76452864 77070336 78045632 78317568 79560704 84639744 85983232 86009472 86704128 87801336 88080384 89195008 89505792 91370496 96731136 98746368 99090432 100344384 101937152 102760448 102791808 104423424 111089664 112852992 113246208 114679296 115605504 117068448 117476352 119341056 121827328 126959616 128974848 131661824 131702004 132120576 133792512 134258688 137055744 139231232 145096704 148119552 150470656 150516576 152905728 154140672 156091264 156635136 159121408 169279488 171966464 172018944 173408256 175602672 178390016 179011584 182740992 193462272 197492736 198180864 200688768 203874304 205520896 205583616 208846848 222179328 225705984 229358592 231211008 234136896 234952704 238682112 243654656 253919232 257949696 263323648 263404008 264241152 267585024 268517376 274111488 278462464 290193408 296239104 300941312 301033152 305811456 308281344 312182528 313270272 318242816 338558976 344037888 346816512 351205344 356780032 358023168 365481984 386924544 394985472 396361728 401377536 407748608 411167232 417693696 444358656 451411968 458717184 462422016 468273792 469905408 477364224 487309312 507838464 515899392 526647296 526808016 535170048 537034752 548222976 556924928 580386816 592478208 601882624 602066304 611622912 616562688 624365056 626540544 636485632 677117952 688075776 693633024 702410688 713560064 716046336 730963968 773849088 789970944 792723456 802755072 815497216 822334464 835387392 888717312 902823936 917434368 924844032 936547584 939810816 954728448 974618624 1015676928 1053294592 1053616032 1070340096 1074069504 1096445952 1113849856 1160773632 1184956416 1203765248 1204132608 1223245824 1248730112 1253081088 1272971264 1354235904 1376151552 1387266048 1404821376 1427120128 1432092672 1461927936 1547698176 1579941888 1605510144 1630994432 1644668928 1670774784 1777434624 1805647872 1834868736 1849688064 1873095168 1879621632 1909456896 1949237248 2031353856 2106589184 2107232064 2140680192 2148139008 2192891904 2227699712 2321547264 2369912832 2408265216 2446491648 2497460224 2506162176 2545942528 2708471808 2752303104 2774532096 2809642752 2854240256 2864185344 2923855872 3159883776 3211020288 3261988864 3289337856 3341549568 3554869248 3611295744 3669737472 3746190336 3759243264 3818913792 3898474496 4062707712 4213178368 4214464128 4281360384 4296278016 4385783808 4455399424 4643094528 4739825664 4816530432 4892983296 4994920448 5012324352 5416943616 5504606208 5549064192 5619285504 5708480512 5728370688 5847711744 6319767552 6422040576 6523977728 6578675712 6683099136 7109738496 7339474944 7492380672 7518486528 7637827584 7796948992 8125415424 8426356736 8428928256 8562720768 8592556032 8771567616 8910798848 9479651328 9633060864 9785966592 9989840896 10024648704 10833887232 11009212416 11238571008 11416961024 11456741376 11695423488 12639535104 12844081152 13047955456 13157351424 13366198272 14219476992 14678949888 14984761344 15036973056 15593897984 16250830848 16857856512 17125441536 17185112064 17543135232 17821597696 18959302656 19266121728 19571933184 19979681792 20049297408 22018424832 22477142016 22833922048 22913482752 23390846976 25279070208 25688162304 26095910912 26314702848 26732396544 28438953984 29357899776 29969522688 30073946112 31187795968 32501661696 33715713024 34250883072 34370224128 35086270464 37918605312 38532243456 39143866368 39959363584 40098594816 44036849664 44954284032 45667844096 46781693952 51376324608 52191821824 52629405696 53464793088 56877907968 58715799552 59939045376 60147892224 62375591936 67431426048 68501766144 68740448256 70172540928 75837210624 77064486912 78287732736 79918727168 80197189632 88073699328 89908568064 91335688192 93563387904 102752649216 104383643648 105258811392 113755815936 117431599104 119878090752 120295784448 124751183872 134862852096 137003532288 140345081856 154128973824 156575465472 159837454336 160394379264 176147398656 179817136128 182671376384 187126775808 205505298432 210517622784 227511631872 234863198208 239756181504 240591568896 269725704192 274007064576 280690163712 308257947648 313150930944 319674908672 352294797312 359634272256 365342752768 374253551616 411010596864 421035245568 469726396416 479512363008 481183137792 539451408384 548014129152 561380327424 616515895296 639349817344 704589594624 719268544512 730685505536 822021193728 842070491136 939452792832 959024726016 1078902816768 1096028258304 1122760654848 1233031790592 1278699634688 1409179189248 1438537089024 1644042387456 1684140982272 1918049452032 2157805633536 2192056516608 2466063581184 2557399269376 2818358378496 2877074178048 3288084774912 3368281964544 3836098904064 4315611267072 4932127162368 5114798538752 5754148356096 6576169549824 7672197808128 8631222534144 9864254324736 11508296712192 15344395616256 17262445068288 19728508649472 23016593424384 34524890136576 46033186848768 69049780273152 138099560546304
- Sum of all divisors σ(n): 488402147842560
- Sum of proper divisors (its aliquot sum) s(n): 350302587296256
- 138099560546304 is an abundant number, because the sum of its proper divisors (350302587296256) is greater than itself. Its abundance is 212203026749952
Bases of 138099560546304
- Binary: 111110110011001110011110100000000000000000000002
- Hexadecimal: 0x7D99CF400000
- Base-36: 1CYA28Q2O0
Squares and roots of 138099560546304
- 138099560546304 squared (1380995605463042) is 19071488623082284350928060416
- 138099560546304 cubed (1380995605463043) is 2633764197811499833402395005152420077502464
-
The
square root of 138099560546304 is 11751576.9387050349 -
The
cube root of 138099560546304 is 51688.9169271255
Scales and comparisons
How big is 138099560546304?- 138,099,560,546,304 seconds is equal to 4,391,138 years, 44 weeks, 3 days, 8 hours, 38 minutes, 24 seconds.
-
To count from 1 to 138,099,560,546,304 would take you about ten million, nine hundred seventy-seven thousand, eight hundred forty-seven 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 138099560546304 cubic inches would be around 4307.4 feet tall.
Recreational maths with 138099560546304
- 138099560546304 backwards is 403645065990831
- 138099560546304 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 138099560546304's digits is 63
- More coming soon!
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The information we have on file for 138099560546304 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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