135342469920564
135,342,469,920,564 is an even composite number composed of seven prime numbers multiplied together.
135342469920564 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of three hundred eighty-four divisors.
Prime factorization of 135342469920564:
22 × 33 × 19 × 73 × 127 × 1723 × 4129
(2 × 2 × 3 × 3 × 3 × 19 × 73 × 127 × 1723 × 4129)See below for interesting mathematical facts about the number 135342469920564 from the Numbermatics database.
Names of 135342469920564
- Cardinal: 135342469920564 can be written as One hundred thirty-five trillion, three hundred forty-two billion, four hundred sixty-nine million, nine hundred twenty thousand, five hundred sixty-four.
Scientific notation
- Scientific notation: 1.35342469920564 × 1014
Factors of 135342469920564
Divisors of 135342469920564
- Number of divisors d(n): 384
-
Complete list of divisors:
1 2 3 4 6 9 12 18 19 27 36 38 54 57 73 76 108 114 127 146 171 219 228 254 292 342 381 438 508 513 657 684 762 876 1026 1143 1314 1387 1524 1723 1971 2052 2286 2413 2628 2774 3429 3446 3942 4129 4161 4572 4826 5169 5548 6858 6892 7239 7884 8258 8322 9271 9652 10338 12387 12483 13716 14478 15507 16516 16644 18542 20676 21717 24774 24966 27813 28956 31014 32737 37084 37161 37449 43434 46521 49548 49932 55626 62028 65151 65474 74322 74898 78451 83439 86868 93042 98211 111252 111483 125779 130302 130948 148644 149796 156902 166878 176149 186084 196422 218821 222966 235353 250317 251558 260604 294633 301417 313804 333756 352298 377337 392844 437642 445932 470706 500634 503116 524383 528447 589266 602834 656463 704596 706059 754674 875284 883899 904251 941412 1001268 1048766 1056894 1132011 1178532 1205668 1312926 1412118 1509348 1573149 1585341 1767798 1808502 1969389 2097532 2113788 2118177 2264022 2389801 2625852 2712753 2824236 3146298 3170682 3396033 3535596 3617004 3938778 4157599 4236354 4528044 4719447 4756023 4779602 5425506 5726923 5908167 6292596 6341364 6792066 7114267 7169403 7877556 8138259 8315198 8472708 9438894 9512046 9559204 9963277 10851012 11453846 11816334 12472797 13584132 14158341 14228534 14338806 15973933 16276518 16630396 17180769 18877788 19024092 19926554 21342801 21508209 22907692 23632668 24945594 28316682 28457068 28677612 29889831 31947866 32553036 34361538 37418391 38279959 39853108 42685602 43016418 47921799 49891188 51542307 56633364 59779662 63895732 64028403 64524627 68723076 74836782 76559918 85371204 86032836 89669493 95843598 103084614 112255173 114839877 119559324 128056806 129049254 135171073 143765397 149673564 153119836 154626921 179338986 191687196 192085209 206169228 224510346 229679754 256113612 258098508 269008479 270342146 287530794 303504727 309253842 344519631 358677972 384170418 405513219 431296191 449020692 459359508 519341491 538016958 540684292 575061588 607009454 618507684 689039262 727319221 768340836 811026438 862592382 903511909 910514181 1033558893 1038682982 1076033916 1214018908 1216539657 1378078524 1454638442 1558024473 1622052876 1725184764 1807023818 1821028362 2067117786 2077365964 2181957663 2433079314 2710535727 2731542543 2909276884 3116048946 3614047636 3642056724 3649618971 4134235572 4363915326 4674073419 4866158628 5421071454 5463085086 6232097892 6545872989 7299237942 8131607181 8194627629 8727830652 9348146838 9867488329 10842142908 10926170172 13091745978 14022220257 14598475884 16263214362 16389255258 17166726271 18696293676 19637618967 19734976658 24394821543 26183491956 28044440514 29602464987 32526428724 32778510516 34333452542 39275237934 39469953316 48789643086 51500178813 56088881028 59204929974 65956369357 68666905084 78550475868 88807394961 97579286172 103000357626 118409859948 131912738714 154500536439 177614789922 197869108071 206000715252 263825477428 266422184883 309001072878 355229579844 395738216142 463501609317 532844369766 593607324213 618002145756 791476432284 927003218634 1065688739532 1187214648426 1253171017783 1780821972639 1854006437268 2374429296852 2506342035566 3561643945278 3759513053349 5012684071132 7123287890556 7519026106698 11278539160047 15038052213396 22557078320094 33835617480141 45114156640188 67671234960282 135342469920564
- Sum of all divisors σ(n): 377673949184000
- Sum of proper divisors (its aliquot sum) s(n): 242331479263436
- 135342469920564 is an abundant number, because the sum of its proper divisors (242331479263436) is greater than itself. Its abundance is 106989009342872
Bases of 135342469920564
- Binary: 111101100010111110111111101011110110111001101002
- Hexadecimal: 0x7B17DFD7B734
- Base-36: 1BZ3H05GL0
Squares and roots of 135342469920564
- 135342469920564 squared (1353424699205642) is 18317584164198771112470078096
- 135342469920564 cubed (1353424699205643) is 2479147083760471637659054588515363996366144
-
The
square root of 135342469920564 is 11633678.2627234453 -
The
cube root of 135342469920564 is 51342.6206835789
Scales and comparisons
How big is 135342469920564?- 135,342,469,920,564 seconds is equal to 4,303,471 years, 46 weeks, 6 days, 5 hours, 29 minutes, 24 seconds.
-
To count from 1 to 135,342,469,920,564 would take you about ten million, seven hundred fifty-eight thousand, six hundred seventy-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 135342469920564 cubic inches would be around 4278.6 feet tall.
Recreational maths with 135342469920564
- 135342469920564 backwards is 465029964243531
- The number of decimal digits it has is: 15
- The sum of 135342469920564's digits is 63
- More coming soon!
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