135680346144

Names of 135680346144

• Cardinal: 135680346144 can be written as One hundred thirty-five billion, six hundred eighty million, three hundred forty-six thousand, one hundred forty-four.

Scientific notation

• Scientific notation: 1.35680346144 × 10¹¹

Factors of 135680346144

• Number of distinct prime factors ω(n): 6
• Total number of prime factors Ω(n): 12
• Sum of prime factors: 7267

Divisors of 135680346144

• Number of divisors d(n): 432
• Complete list of divisors:
  1 2 3 4 6 7 8 9 12 14 16 17 18 21 24 28 32 34 36 42 48 49 51 56 63 68 72 79 84 96 98 102 112 119 126 136 144 147 153 158 168 196 204 224 237 238 252 272 288 294 306 316 336 357 392 408 441 474 476 504 544 553 588 612 632 672 711 714 784 816 833 882 948 952 1008 1071 1106 1176 1224 1264 1343 1422 1428 1568 1632 1659 1666 1764 1896 1904 2016 2142 2212 2352 2448 2499 2528 2686 2844 2856 3318 3332 3528 3792 3808 3871 4029 4284 4424 4704 4896 4977 4998 5372 5688 5712 6636 6664 7056 7159 7497 7584 7742 8058 8568 8848 9401 9954 9996 10744 11376 11424 11613 12087 13272 13328 14112 14318 14994 15484 16116 17136 17696 18802 19908 19992 21477 21488 22752 23226 24174 26544 26656 28203 28636 29988 30968 32232 34272 34839 37604 39816 39984 42954 42976 46452 48348 50113 53088 56406 57272 59976 61936 64431 64464 65807 69678 75208 79632 79968 84609 85908 92904 96696 100226 112812 114544 119952 121703 123872 128862 128928 131614 139356 150339 150416 159264 169218 171816 185808 193392 197421 200452 225624 229088 239904 243406 257724 263228 278712 300678 300832 338436 343632 350791 365109 371616 386784 394842 400904 451017 451248 486812 515448 526456 557424 565561 592263 601356 676872 687264 701582 730218 789684 801808 851921 902034 902496 973624 1030896 1052373 1052912 1095327 1114848 1131122 1184526 1202712 1353744 1403164 1460436 1579368 1603616 1696683 1703842 1804068 1947248 2061792 2104746 2105824 2190654 2262244 2369052 2405424 2555763 2707488 2806328 2920872 3157119 3158736 3393366 3407684 3608136 3894496 3958927 4209492 4381308 4524488 4738104 4810848 5090049 5111526 5612656 5841744 5963447 6314238 6317472 6786732 6815368 7216272 7667289 7917854 8418984 8762616 9048976 9476208 9614537 10180098 10223052 11225312 11683488 11876781 11926894 12628476 13573464 13630736 14432544 15334578 15835708 16837968 17525232 17890341 18097952 18952416 19229074 20360196 20446104 23753562 23853788 25256952 27146928 27261472 27712489 28843611 30669156 31671416 33675936 35050464 35630343 35780682 38458148 40720392 40892208 47507124 47707576 50513904 53671023 54293856 55424978 57687222 61338312 63342832 67301759 71260686 71561364 76916296 81440784 81784416 83137467 86530833 95014248 95415152 101027808 107342046 110849956 115374444 122676624 126685664 134603518 142521372 143122728 153832592 162881568 166274934 173061666 190028496 190830304 201905277 214684092 221699912 230748888 245353248 249412401 269207036 285042744 286245456 307665184 332549868 346123332 380056992 403810554 429368184 443399824 461497776 471112313 498824802 538414072 570085488 572490912 605715831 665099736 692246664 807621108 858736368 886799648 922995552 942224626 997649604 1076828144 1140170976 1211431662 1330199472 1384493328 1413336939 1615242216 1717472736 1884449252 1995299208 2153656288 2422863324 2660398944 2768986656 2826673878 3230484432 3768898504 3990598416 4240010817 4845726648 5653347756 6460968864 7537797008 7981196832 8480021634 9691453296 11306695512 15075594016 16960043268 19382906592 22613391024 33920086536 45226782048 67840173072 135680346144
• Sum of all divisors σ(n): 481320403200
• Sum of proper divisors (its aliquot sum) s(n): 345640057056
• 135680346144 is an abundant number, because the sum of its proper divisors (345640057056) is greater than itself. Its abundance is 209959710912

Bases of 135680346144

• Binary: 1111110010111001011011100100000100000₂
• Hexadecimal: 0x1F972DC820
• Base-36: 1QBWKP40

Squares and roots of 135680346144

• 135680346144 squared (135680346144²) is 18409156329755655668736
• 135680346144 cubed (135680346144³) is 2497760703040255968075776278953984
• The square root of 135680346144 is 368348.1317232381
• The cube root of 135680346144 is 5138.5310006133

Scales and comparisons

• 135,680,346,144 seconds is equal to 4,314 years, 11 weeks, 1 day, 9 hours, 2 minutes, 24 seconds.
• To count from 1 to 135,680,346,144 would take you about eight thousand, six hundred twenty-eight 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 135680346144 cubic inches would be around 428.2 feet tall.

Recreational maths with 135680346144

• 135680346144 backwards is 441643086531
• The number of decimal digits it has is: 12
• The sum of 135680346144's digits is 45
• More coming soon!