135782221231536

Names of 135782221231536

• Cardinal: 135782221231536 can be written as One hundred thirty-five trillion, seven hundred eighty-two billion, two hundred twenty-one million, two hundred thirty-one thousand, five hundred thirty-six.

Scientific notation

• Scientific notation: 1.35782221231536 × 10¹⁴

Factors of 135782221231536

• Number of distinct prime factors ω(n): 7
• Total number of prime factors Ω(n): 11
• Sum of prime factors: 524424

Divisors of 135782221231536

• Number of divisors d(n): 480
• Complete list of divisors:
  1 2 3 4 6 8 11 12 16 17 22 24 33 34 43 44 48 51 61 66 68 86 88 102 121 122 129 132 136 172 176 183 187 204 242 244 258 264 272 344 363 366 374 408 473 484 488 516 528 561 671 688 726 731 732 748 816 946 968 976 1032 1037 1122 1342 1419 1452 1462 1464 1496 1892 1936 2013 2057 2064 2074 2193 2244 2623 2684 2838 2904 2924 2928 2992 3111 3784 4026 4114 4148 4386 4488 5203 5246 5368 5676 5808 5848 6171 6222 7381 7568 7869 8041 8052 8228 8296 8772 8976 10406 10492 10736 11352 11407 11696 12342 12444 14762 15609 15738 16082 16104 16456 16592 17544 20812 20984 22143 22704 22814 24123 24684 24888 28853 29524 31218 31476 32164 32208 32912 34221 35088 41624 41968 44286 44591 45628 48246 49368 49776 57706 59048 62436 62952 64328 68442 83248 86559 88451 88572 89182 91256 96492 98736 115412 118096 124872 125477 125904 128656 133773 136884 173118 176902 177144 178364 182512 192984 230824 249744 250954 265353 267546 273768 317383 346236 353804 354288 356728 376431 385968 461648 490501 501908 524287 530706 535092 547536 634766 692472 707608 713456 752862 952149 981002 1003816 1048574 1061412 1070184 1269532 1384944 1415216 1471503 1505724 1572861 1904298 1962004 2007632 2097148 2122824 2140368 2539064 2943006 3011448 3145722 3808596 3924008 4194296 4245648 5078128 5395511 5767157 5886012 6022896 6291444 7617192 7848016 8388592 8912879 10791022 11534314 11772024 12582888 15234384 16186533 17301471 17825758 21582044 22544341 23068628 23544048 25165776 26738637 31981507 32373066 34602942 35651516 43164088 45088682 46137256 53477274 63438727 63963014 64746132 67633023 69205884 71303032 86328176 90177364 92274512 95944521 98041669 106954548 126877454 127926028 129492264 135266046 138411768 142606064 180354728 190316181 191889042 196083338 213909096 247987751 253754908 255852056 258984528 270532092 276823536 294125007 351796577 360709456 380632362 383253797 383778084 392166676 427818192 495975502 507509816 511704112 541064184 543685619 588250014 703593154 743963253 761264724 766507594 767556168 784333352 991951004 1015019632 1055389731 1078458359 1082128368 1087371238 1149761391 1176500028 1375204801 1407186308 1487926506 1522529448 1533015188 1535112336 1568666704 1631056857 1983902008 2110779462 2156916718 2174742476 2299522782 2353000056 2727865261 2750409602 2814372616 2975853012 3045058896 3066030376 3235375077 3262113714 3869762347 3967804016 4125614403 4215791767 4221558924 4313833436 4349484952 4599045564 4706000112 5455730522 5500819204 5628745232 5951706024 5980541809 6132060752 6470750154 6524227428 7739524694 8183595783 8251228806 8431583534 8443117848 8627666872 8698969904 9198091128 10911461044 11001638408 11609287041 11903412048 11961083618 12647375301 12941500308 13048454856 15127252811 15479049388 16367191566 16502457612 16863167068 16886235696 17255333744 17941625427 18396182256 21822922088 22003276816 23218574082 23378481617 23922167236 25294750602 25883000616 26096909712 30254505622 30958098776 32734383132 33004915224 33726334136 35883250854 43645844176 45381758433 46373709437 46437148164 46756963234 47844334472 50589501204 51766001232 60509011244 61916197552 65468766264 65785959899 66009830448 67452668272 70135444851 71766501708 90763516866 92747418874 92874296328 93513926468 95688668944 101179002408 121018022488 130937532528 131571919798 139121128311 140270889702 143533003416 166399780921 181527033732 185494837748 185748592656 187027852936 197357879697 202358004816 242036044976 257163297787 263143839596 278242256622 280541779404 287066006832 332799561842 363054067464 370989675496 374055705872 394715759394 499199342763 514326595574 526287679192 556484513244 561083558808 665599123684 726108134928 741979350992 771489893361 789431518788 998398685526 1028653191148 1052575358384 1112969026488 1122167117616 1331198247368 1542979786722 1578863037576 1996797371052 2057306382296 2225938052976 2662396494736 2828796275657 3085959573444 3157726075152 3993594742104 4114612764592 5657592551314 6171919146888 7987189484208 8486388826971 11315185102628 12343838293776 16972777653942 22630370205256 33945555307884 45260740410512 67891110615768 135782221231536
• Sum of all divisors σ(n): 424580569104384
• Sum of proper divisors (its aliquot sum) s(n): 288798347872848
• 135782221231536 is an abundant number, because the sum of its proper divisors (288798347872848) is greater than itself. Its abundance is 153016126641312

Bases of 135782221231536

• Binary: 11110110111111001000011000100000011010110110000₂
• Hexadecimal: 0x7B7E431035B0
• Base-36: 1C4PHOQ7QO

Squares and roots of 135782221231536

• 135782221231536 squared (135782221231536²) is 18436811602569785696520919296
• 135782221231536 cubed (135782221231536³) is 2503391231824280420580240296002303986118656
• The square root of 135782221231536 is 11652562.8610849381
• The cube root of 135782221231536 is 51398.1676121507

Scales and comparisons

• 135,782,221,231,536 seconds is equal to 4,317,454 years, 32 weeks, 6 days, 11 hours, 25 minutes, 36 seconds.
• To count from 1 to 135,782,221,231,536 would take you about ten million, seven hundred ninety-three thousand, six hundred thirty-six 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 135782221231536 cubic inches would be around 4283.2 feet tall.

Recreational maths with 135782221231536

• 135782221231536 backwards is 635132122287531
• 135782221231536 is a Harshad number.
• The number of decimal digits it has is: 15
• The sum of 135782221231536's digits is 51
• More coming soon!