135363840768

Names of 135363840768

• Cardinal: 135363840768 can be written as One hundred thirty-five billion, three hundred sixty-three million, eight hundred forty thousand, seven hundred sixty-eight.

Scientific notation

• Scientific notation: 1.35363840768 × 10¹¹

Factors of 135363840768

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 17
• Sum of prime factors: 144

Divisors of 135363840768

• Number of divisors d(n): 810
• Complete list of divisors:
  1 2 3 4 6 8 9 12 13 16 18 19 24 26 27 32 36 38 39 48 52 54 57 64 72 76 78 81 96 104 107 108 114 117 128 144 152 156 162 169 171 192 208 214 216 228 234 247 256 288 304 312 321 324 338 342 351 361 384 416 428 432 456 468 494 507 513 576 608 624 642 648 676 684 702 722 741 768 832 856 864 912 936 963 988 1014 1026 1053 1083 1152 1216 1248 1284 1296 1352 1368 1391 1404 1444 1482 1521 1539 1664 1712 1728 1824 1872 1926 1976 2028 2033 2052 2106 2166 2223 2304 2432 2496 2568 2592 2704 2736 2782 2808 2888 2889 2964 3042 3078 3211 3249 3328 3424 3456 3648 3744 3852 3952 4056 4066 4104 4173 4212 4332 4446 4563 4693 4864 4992 5136 5184 5408 5472 5564 5616 5776 5778 5928 6084 6099 6156 6422 6498 6669 6848 6912 7296 7488 7704 7904 8112 8132 8208 8346 8424 8664 8667 8892 9126 9386 9633 9747 9984 10272 10368 10816 10944 11128 11232 11552 11556 11856 12168 12198 12312 12519 12844 12996 13338 13689 13696 14079 14592 14976 15408 15808 16224 16264 16416 16692 16848 17328 17334 17784 18083 18252 18297 18772 19266 19494 20007 20544 20736 21632 21888 22256 22464 23104 23112 23712 24336 24396 24624 25038 25688 25992 26429 26676 27378 27392 28158 28899 29241 29952 30816 31616 32448 32528 32832 33384 33696 34656 34668 35568 36166 36504 36594 37544 37557 38532 38627 38988 40014 41088 42237 43264 43776 44512 44928 46208 46224 47424 48672 48792 49248 50076 51376 51984 52858 53352 54249 54756 54891 56316 57798 58482 61009 61632 63232 64896 65056 65664 66768 67392 69312 69336 71136 72332 73008 73188 75088 75114 77064 77254 77976 79287 80028 82176 84474 86697 89024 89856 92416 92448 94848 97344 97584 98496 100152 102752 103968 105716 106704 108498 109512 109782 112632 112671 115596 115881 116964 122018 123264 126711 129792 130112 131328 133536 134784 138624 138672 142272 144664 146016 146376 150176 150228 154128 154508 155952 158574 160056 162747 164673 168948 173394 178048 183027 184896 189696 194688 195168 196992 200304 205504 207936 211432 213408 216996 219024 219564 225264 225342 231192 231762 233928 237861 244036 246528 253422 260091 260224 267072 269568 277248 277344 284544 289328 292032 292752 300352 300456 308256 309016 311904 317148 320112 325494 329346 337896 343577 346788 347643 356096 366054 369792 380133 389376 390336 393984 400608 411008 415872 422864 426816 433992 438048 439128 450528 450684 462384 463524 467856 475722 488072 488241 502151 506844 520182 520448 534144 549081 554688 569088 578656 584064 585504 600704 600912 616512 618032 623808 634296 640224 650988 658692 675792 687154 693576 695286 713583 732108 739584 760266 780672 801216 822016 831744 845728 853632 867984 876096 878256 901056 901368 924768 927048 935712 951444 976144 976482 1004302 1013688 1030731 1040364 1042929 1068288 1098162 1109376 1157312 1168128 1171008 1201408 1201824 1233024 1236064 1247616 1268592 1280448 1301976 1317384 1351584 1374308 1387152 1390572 1427166 1464216 1464723 1506453 1520532 1561344 1602432 1647243 1691456 1707264 1735968 1752192 1756512 1802112 1802736 1849536 1854096 1871424 1902888 1952288 1952964 2008604 2027376 2061462 2080728 2085858 2140749 2196324 2218752 2314624 2342016 2403648 2466048 2472128 2495232 2537184 2560896 2603952 2634768 2703168 2748616 2774304 2781144 2854332 2928432 2929446 3012906 3041064 3092193 3128787 3204864 3294486 3382912 3471936 3504384 3513024 3604224 3605472 3699072 3708192 3742848 3805776 3904576 3905928 4017208 4054752 4122924 4161456 4171716 4281498 4392648 4519359 4629248 4684032 4807296 4941729 4944256 5074368 5121792 5207904 5269536 5406336 5497232 5548608 5562288 5708664 5856864 5858892 6025812 6082128 6184386 6257574 6527963 6588972 6765824 6943872 7026048 7210944 7398144 7416384 7485696 7611552 7809152 7811856 8034416 8109504 8245848 8322912 8343432 8562996 8785296 9038718 9276579 9614592 9883458 9888512 10148736 10415808 10539072 10812672 10994464 11097216 11124576 11417328 11713728 11717784 12051624 12164256 12368772 12515148 13055926 13177944 13558077 13887744 14052096 14421888 14832768 15223104 15618304 15623712 16068832 16219008 16491696 16645824 16686864 17125992 17570592 18077436 18553158 19583889 19766916 20297472 20831616 21078144 21988928 22194432 22249152 22834656 23427456 23435568 24103248 24328512 24737544 25030296 26111852 26355888 27116154 27829737 28843776 29665536 30446208 31247424 32137664 32438016 32983392 33291648 33373728 34251984 35141184 36154872 37106316 39167778 39533832 40674231 41663232 42156288 43977856 44498304 45669312 46854912 46871136 48206496 48657024 49475088 50060592 52223704 52711776 54232308 55659474 58751667 60892416 62494848 64275328 65966784 66583296 66747456 68503968 70282368 72309744 74212632 78335556 79067664 81348462 87955712 88996608 91338624 93742272 96412992 97314048 98950176 100121184 104447408 105423552 108464616 111318948 117503334 124989696 128550656 131933568 133494912 137007936 140564736 144619488 148425264 156671112 158135328 162696924 176255001 182677248 187484544 192825984 197900352 200242368 208894816 210847104 216929232 222637896 235006668 263867136 266989824 274015872 289238976 296850528 313342224 316270656 325393848 352510002 374969088 385651968 395800704 400484736 417789632 421694208 433858464 445275792 470013336 528765003 548031744 578477952 593701056 626684448 632541312 650787696 705020004 791601408 800969472 835579264 867716928 890551584 940026672 1057530006 1156955904 1187402112 1253368896 1265082624 1301575392 1410040008 1671158528 1735433856 1781103168 1880053344 2115060012 2374804224 2506737792 2603150784 2820080016 3470867712 3562206336 3760106688 4230120024 5013475584 5206301568 5640160032 7124412672 7520213376 8460240048 10412603136 11280320064 15040426752 16920480096 22560640128 33840960192 45121280256 67681920384 135363840768
• Sum of all divisors σ(n): 465592623804
• Sum of proper divisors (its aliquot sum) s(n): 330228783036
• 135363840768 is an abundant number, because the sum of its proper divisors (330228783036) is greater than itself. Its abundance is 194864942268

Bases of 135363840768

• Binary: 1111110000100010100000100101100000000₂
• Hexadecimal: 0x1F84504B00
• Base-36: 1Q6O4W00

Squares and roots of 135363840768

• 135363840768 squared (135363840768²) is 18323369387464458829824
• 135363840768 cubed (135363840768³) is 2480321656097984700299587545464832
• The square root of 135363840768 is 367918.2528334249
• The cube root of 135363840768 is 5134.5322908949

Scales and comparisons

• 135,363,840,768 seconds is equal to 4,304 years, 7 weeks, 6 days, 2 hours, 52 minutes, 48 seconds.
• To count from 1 to 135,363,840,768 would take you about eight thousand, six hundred 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 135363840768 cubic inches would be around 427.9 feet tall.

Recreational maths with 135363840768

• 135363840768 backwards is 867048363531
• 135363840768 is a Harshad number.
• The number of decimal digits it has is: 12
• The sum of 135363840768's digits is 54
• More coming soon!