135589381371293200

Names of 135589381371293200

• Cardinal: 135589381371293200 can be written as One hundred thirty-five quadrillion, five hundred eighty-nine trillion, three hundred eighty-one billion, three hundred seventy-one million, two hundred ninety-three thousand, two hundred.

Scientific notation

• Scientific notation: 1.355893813712932 × 10¹⁷

Factors of 135589381371293200

• Number of distinct prime factors ω(n): 6
• Total number of prime factors Ω(n): 11
• Sum of prime factors: 509483

Divisors of 135589381371293200

• Number of divisors d(n): 360
• Complete list of divisors:
  1 2 4 5 8 10 13 16 20 25 26 31 40 50 52 62 65 80 100 104 124 130 155 169 200 208 248 260 310 325 338 400 403 496 520 620 650 676 775 806 845 1040 1240 1300 1352 1550 1612 1690 2015 2480 2600 2704 3100 3224 3380 4030 4225 5200 5239 6200 6448 6760 8060 8450 10075 10478 12400 13520 16120 16900 20150 20956 26195 32240 33800 40300 41912 52390 67600 80600 83824 104780 130975 161200 209560 241363 261950 268069 419120 482726 523900 536138 965452 1047800 1072276 1206815 1340345 1930904 2095600 2144552 2413630 2680690 3137719 3484897 3861808 4289104 4827260 5361380 6034075 6275438 6701725 6969794 7482253 8310139 9654520 10722760 12068150 12550876 13403450 13939588 14964506 15688595 16620278 17424485 19309040 21445520 24136300 25101752 26806900 27879176 29929012 31377190 33240556 34848970 37411265 40790347 41550695 45303661 48272600 50203504 53613800 55758352 59858024 62754380 66481112 69697940 74822530 78442975 81580694 83101390 87122425 90607322 96545200 97269289 107227600 108031807 119716048 125508760 132962224 139395880 149645060 156885950 163161388 166202780 174244850 181214644 187056325 194538578 203951735 207753475 216063614 226518305 251017520 278791760 299290120 313771900 326322776 332405560 348489700 362429288 374112650 389077156 407903470 415506950 432127228 453036610 486346445 540159035 598580240 627543800 652645552 664811120 696979400 724858576 748225300 778154312 815806940 831013900 864254456 906073220 972692890 1019758675 1080318070 1132591525 1255087600 1264500757 1393958800 1404413491 1496450600 1556308624 1631613880 1662027800 1728508912 1812146440 1945385780 2039517350 2160636140 2265183050 2431732225 2529001514 2700795175 2808826982 2992901200 3263227760 3324055600 3624292880 3890771560 4079034700 4321272280 4530366100 4863464450 5058003028 5401590350 5617653964 6322503785 7022067455 7781543120 8158069400 8642544560 9060732200 9726928900 10116006056 10803180700 11235307928 12645007570 14044134910 16316138800 18121464400 19453857800 20232012112 21606361400 22470615856 25290015140 28088269820 31612518925 35110337275 38907715600 43212722800 50580030280 56176539640 63225037850 64701938047 70220674550 101160060560 112353079280 126450075700 129403876094 140441349100 252900151400 258807752188 280882698200 323509690235 505800302800 517615504376 561765396400 647019380470 841125194611 1035231008752 1294038760940 1617548451175 1682250389222 2005760079457 2588077521880 3235096902350 3364500778444 4011520158914 4205625973055 5176155043760 6470193804700 6729001556888 8023040317828 8411251946110 10028800397285 10934627529943 12940387609400 13458003113776 16046080635656 16822503892220 20057600794570 21028129865275 21869255059886 25880775218800 26074881032941 32092161271312 33645007784440 40115201589140 42056259730550 43738510119772 50144001986425 52149762065882 54673137649715 67290015568880 80230403178280 84112519461100 87477020239544 100288003972850 104299524131764 109346275299430 130374405164705 160460806356560 168225038922200 174954040479088 200576007945700 208599048263528 218692550598860 260748810329410 273365688248575 336450077844400 338973453428233 401152015891400 417198096527056 437385101197720 521497620658820 546731376497150 651872025823525 677946906856466 802304031782800 874770202395440 1042995241317640 1093462752994300 1303744051647050 1355893813712932 1694867267141165 2085990482635280 2186925505988600 2607488103294100 2711787627425864 3389734534282330 4373851011977200 5214976206588200 5423575254851728 6779469068564660 8474336335705825 10429952413176400 13558938137129320 16948672671411650 27117876274258640 33897345342823300 67794690685646600 135589381371293200
• Sum of all divisors σ(n): 364120528677607680
• Sum of proper divisors (its aliquot sum) s(n): 228531147306314480
• 135589381371293200 is an abundant number, because the sum of its proper divisors (228531147306314480) is greater than itself. Its abundance is 92941765935021280

Bases of 135589381371293200

• Binary: 111100001101101011101001011101111111100110110111000010000₂
• Hexadecimal: 0x1E1B5D2EFF36E10
• Base-36: 1132F9W6DTSG

Squares and roots of 135589381371293200

• 135589381371293200 squared (135589381371293200²) is 18384480340649991452877040366240000
• 135589381371293200 cubed (135589381371293200³) is 2492740316221434014767913978881860421550421568000000
• The square root of 135589381371293200 is 368224634.3895166393
• The cube root of 135589381371293200 is 513738.2394555233

Scales and comparisons

• 135,589,381,371,293,200 seconds is equal to 4,311,322,922 years, 5 weeks, 6 days, 5 hours, 26 minutes, 40 seconds.
• To count from 1 to 135,589,381,371,293,200 would take you about twelve billion, nine hundred thirty-three million, nine hundred sixty-eight thousand, seven hundred sixty-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 135589381371293200 cubic inches would be around 42811.5 feet tall.

Recreational maths with 135589381371293200

• 135589381371293200 backwards is 002392173183985531
• The number of decimal digits it has is: 18
• The sum of 135589381371293200's digits is 70
• More coming soon!