135728409993561
135,728,409,993,561 is an odd composite number composed of five prime numbers multiplied together.
135728409993561 is an odd composite number. It is composed of five distinct prime numbers multiplied together. It has a total of three hundred eighty-four divisors.
Prime factorization of 135728409993561:
32 × 73 × 113 × 67 × 793
(3 × 3 × 7 × 7 × 7 × 11 × 11 × 11 × 67 × 79 × 79 × 79)See below for interesting mathematical facts about the number 135728409993561 from the Numbermatics database.
Names of 135728409993561
- Cardinal: 135728409993561 can be written as One hundred thirty-five trillion, seven hundred twenty-eight billion, four hundred nine million, nine hundred ninety-three thousand, five hundred sixty-one.
Scientific notation
- Scientific notation: 1.35728409993561 × 1014
Factors of 135728409993561
Divisors of 135728409993561
- Number of divisors d(n): 384
-
Complete list of divisors:
1 3 7 9 11 21 33 49 63 67 77 79 99 121 147 201 231 237 343 363 441 469 539 553 603 693 711 737 847 869 1029 1089 1331 1407 1617 1659 2211 2541 2607 3087 3283 3773 3871 3993 4221 4851 4977 5159 5293 5929 6083 6241 6633 7623 7821 8107 9317 9559 9849 11319 11613 11979 15477 15879 17787 18249 18723 22981 24321 27097 27951 28677 29547 33957 34839 36113 37051 41503 42581 43687 46431 47637 53361 54747 56169 56749 58223 65219 66913 68651 68943 72963 81291 83853 86031 89177 105149 108339 111153 124509 127743 131061 170247 174669 195657 200739 205953 206829 243873 252791 259357 267531 298067 305809 315447 325017 333459 373527 383229 393183 397243 407561 418147 456533 468391 480557 493039 510741 524007 586971 602217 617859 624239 640453 736043 755161 758373 778071 802593 894201 917427 946341 1191729 1222683 1254441 1369599 1405173 1441671 1479117 1815499 1872717 1921359 2140663 2208129 2265483 2275119 2334213 2682603 2752281 2780701 2852927 2927029 3278737 3363899 3451273 3575187 3668049 3763323 4108797 4215519 4325013 4369673 4437351 4483171 4599617 5152301 5286127 5423429 5446497 5618151 5764077 6421989 6624387 6796449 7044983 8306771 8342103 8558781 8781087 9836211 10091697 10353819 13109019 13449513 13798851 15456903 15858381 16270287 16339491 19265967 19970489 20489203 21134949 23547293 24158911 24920313 25026309 25676343 26343261 29508633 30275091 30587711 31061457 31382197 32197319 33033613 36066107 37002889 37964003 39327057 40348539 41396553 46370709 47575143 48810861 49314881 50595787 58147397 59657719 59911467 61467609 63404847 70641879 72476733 74760939 91763133 94146591 96591957 99100839 108198321 111008667 113892009 143424421 147944643 151787361 169112377 174442191 178973157 179734401 184402827 211925637 217430199 219675379 225381233 231235291 259020223 265748021 275289399 282439773 289775871 297302517 324594963 333026001 341676027 345204167 354170509 363369743 407031779 417604033 430273263 443833929 455362083 507337131 523326573 536919471 556553657 656234909 659026137 676143699 693705873 777060669 797244063 1035612501 1062511527 1090109229 1221095337 1252812099 1290819789 1522011393 1577668631 1618647037 1669660971 1860236147 1968704727 1977078411 2028431097 2081117619 2331182007 2391732189 2416429169 2479193563 2543588201 2849222453 2923228231 3106837503 3187534581 3270327687 3663286011 3758436297 3895875599 3997067173 4593644363 4733005893 4855941111 5008982913 5580708441 5906114181 7249287507 7437580689 7630764603 8547667359 8769684693 11330529259 11687626797 11991201519 13780933089 14199017679 14567823333 16742125323 17354354941 17805117407 20462597617 21747862521 22312742067 22892293809 25643002077 26309054079 27271129193 27979470211 32155510541 33991587777 35062880391 35973604557 41342799267 43967738903 52063064823 53415352221 61387792851 81813387579 83938410633 96466531623 101974763331 124635821849 131903216709 156189194469 160246056663 184163378553 190897904351 195856291477 225088573787 245440162737 251815231899 289399594869 307774172321 373907465547 395709650127 572693713053 587568874431 675265721361 923322516963 1121722396641 1370994040339 1718081139159 1762706623293 2025797164083 2154419206247 2769967550889 4112982121017 6463257618741 12338946363051 15080934443729 19389772856223 45242803331187 135728409993561
- Sum of all divisors σ(n): 258503890944000
- Sum of proper divisors (its aliquot sum) s(n): 122775480950439
- 135728409993561 is a deficient number, because the sum of its proper divisors (122775480950439) is less than itself. Its deficiency is 12952929043122
Bases of 135728409993561
- Binary: 111101101110001101110111010100111100001010110012
- Hexadecimal: 0x7B71BBA9E159
- Base-36: 1C40RQWMS9
Squares and roots of 135728409993561
- 135728409993561 squared (1357284099935612) is 18422201279380189536061460721
- 135728409993561 cubed (1357284099935613) is 2500416088231618357190330685516083864417481
-
The
square root of 135728409993561 is 11650253.6450311243 -
The
cube root of 135728409993561 is 51391.3769232291
Scales and comparisons
How big is 135728409993561?- 135,728,409,993,561 seconds is equal to 4,315,743 years, 31 weeks, 2 days, 5 hours, 19 minutes, 21 seconds.
-
To count from 1 to 135,728,409,993,561 would take you about ten million, seven hundred eighty-nine thousand, three hundred fifty-nine 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 135728409993561 cubic inches would be around 4282.6 feet tall.
Recreational maths with 135728409993561
- 135728409993561 backwards is 165399904827531
- The number of decimal digits it has is: 15
- The sum of 135728409993561's digits is 72
- More coming soon!
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