138432987721886208

Names of 138432987721886208

• Cardinal: 138432987721886208 can be written as One hundred thirty-eight quadrillion, four hundred thirty-two trillion, nine hundred eighty-seven billion, seven hundred twenty-one million, eight hundred eighty-six thousand, two hundred eight.

Scientific notation

• Scientific notation: 1.38432987721886208 × 10¹⁷

Factors of 138432987721886208

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 15
• Sum of prime factors: 16988

Divisors of 138432987721886208

• Number of divisors d(n): 360
• Complete list of divisors:
  1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 78 96 104 128 156 169 192 208 256 312 338 384 416 507 512 624 676 768 832 1014 1248 1352 1536 1664 2028 2496 2704 3328 4056 4992 5408 6656 7507 8112 9463 9984 10816 15014 16224 18926 19968 21632 22521 28389 30028 32448 37852 43264 45042 56778 60056 64896 75704 86528 90084 97591 113556 120112 123019 129792 151408 180168 195182 227112 240224 246038 259584 292773 302816 360336 369057 390364 454224 480448 492076 585546 605632 720672 738114 780728 908448 960896 984152 1171092 1211264 1268683 1441344 1476228 1561456 1599247 1816896 1921792 1968304 2342184 2422528 2537366 2882688 2952456 3122912 3198494 3633792 3806049 3843584 3936608 4684368 4797741 4845056 5074732 5765376 5904912 6245824 6396988 7267584 7612098 7873216 9368736 9595482 10149464 11530752 11809824 12491648 12793976 14535168 15224196 15746432 18737472 19190964 20298928 23619648 24983296 25587952 30448392 31492864 37474944 38381928 40597856 47239296 49966592 51175904 56355049 60896784 62985728 71038741 74949888 76763856 81195712 94478592 102351808 112710098 121793568 142077482 149899776 153527712 162391424 169065147 188957184 204703616 213116223 225420196 243587136 284154964 307055424 324782848 338130294 409407232 426232446 450840392 487174272 568309928 614110848 649565696 676260588 732615637 818814464 852464892 901680784 923503633 974348544 1136619856 1228221696 1352521176 1465231274 1704929784 1803361568 1847007266 1948697088 2197846911 2273239712 2456443392 2705042352 2770510899 2930462548 3409859568 3606723136 3694014532 4395693822 4546479424 5410084704 5541021798 5860925096 6819719136 7213446272 7388029064 8791387644 9092958848 9524003281 10820169408 11082043596 11721850192 12005547229 13639438272 14426892544 14776058128 17582775288 18185917696 19048006562 21640338816 22164087192 23443700384 24011094458 27278876544 28572009843 28853785088 29552116256 35165550576 36016641687 36371835392 38096013124 43280677632 44328174384 46887400768 48022188916 54557753088 57144019686 59104232512 70331101152 72033283374 76192026248 86561355264 88656348768 93774801536 96044377832 109115506176 114288039372 118208465024 140662202304 144066566748 152384052496 177312697536 187549603072 192088755664 228576078744 236416930048 281324404608 288133133496 304768104992 354625395072 375099206144 384177511328 457152157488 472833860096 533287828687 562648809216 576266266992 609536209984 709250790144 768355022656 914304314976 1066575657374 1125297618432 1152532533984 1219072419968 1418501580288 1536710045312 1599863486061 1828608629952 2133151314748 2305065067968 2438144839936 3073420090624 3199726972122 3657217259904 4266302629496 4610130135936 4876289679872 6146840181248 6399453944244 6932741772931 7314434519808 8532605258992 9220260271872 12798907888488 13865483545862 14628869039616 17065210517984 18440520543744 20798225318793 25597815776976 27730967091724 34130421035968 41596450637586 51195631553952 55461934183448 68260842071936 83192901275172 90125643048103 102391263107904 110923868366896 136521684143872 166385802550344 180251286096206 204782526215808 221847736733792 270376929144309 273043368287744 332771605100688 360502572192412 409565052431616 443695473467584 540753858288618 665543210201376 721005144384824 819130104863232 887390946935168 1081507716577236 1331086420402752 1442010288769648 1774781893870336 2163015433154472 2662172840805504 2884020577539296 3549563787740672 4326030866308944 5324345681611008 5768041155078592 8652061732617888 10648691363222016 11536082310157184 17304123465235776 23072164620314368 34608246930471552 46144329240628736 69216493860943104 138432987721886208
• Sum of all divisors σ(n): 399440534247282528
• Sum of proper divisors (its aliquot sum) s(n): 261007546525396320
• 138432987721886208 is an abundant number, because the sum of its proper divisors (261007546525396320) is greater than itself. Its abundance is 122574558803510112

Bases of 138432987721886208

• Binary: 111101011110100000001000110100010010110111110101000000000₂
• Hexadecimal: 0x1EBD011A25BEA00
• Base-36: 11V2ECM7SBUO

Squares and roots of 138432987721886208

• 138432987721886208 squared (138432987721886208²) is 19163692089607897616206289300619264
• 138432987721886208 cubed (138432987721886208³) is 2652887151746697939648257653086263194236580540710912
• The square root of 138432987721886208 is 372065837.8861007551
• The cube root of 138432987721886208 is 517304.8268298587

Scales and comparisons

• 138,432,987,721,886,208 seconds is equal to 4,401,740,808 years, 10 weeks, 6 days, 11 hours, 56 minutes, 48 seconds.
• To count from 1 to 138,432,987,721,886,208 would take you about thirteen billion, two hundred five million, two hundred twenty-two thousand, four hundred twenty-four 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 138432987721886208 cubic inches would be around 43108.7 feet tall.

Recreational maths with 138432987721886208

• 138432987721886208 backwards is 802688127789234831
• The number of decimal digits it has is: 18
• The sum of 138432987721886208's digits is 87
• More coming soon!