138835476253237120

Names of 138835476253237120

• Cardinal: 138835476253237120 can be written as One hundred thirty-eight quadrillion, eight hundred thirty-five trillion, four hundred seventy-six billion, two hundred fifty-three million, two hundred thirty-seven thousand, one hundred twenty.

Scientific notation

• Scientific notation: 1.3883547625323712 × 10¹⁷

Factors of 138835476253237120

• Number of distinct prime factors ω(n): 6
• Total number of prime factors Ω(n): 12
• Sum of prime factors: 113725061

Divisors of 138835476253237120

• Number of divisors d(n): 256
• Complete list of divisors:
  1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 64 70 73 80 112 128 140 146 160 224 280 292 320 365 448 511 560 584 640 730 896 1022 1120 1168 1460 2044 2240 2336 2555 2920 3733 4088 4480 4672 5110 5840 7466 8176 9344 10220 11680 14932 16352 18665 20440 23360 26131 29864 32704 37330 40880 46720 52262 59728 65408 74660 81760 104524 119456 130655 149320 163520 209048 238912 261310 272509 298640 327040 418096 477824 522620 545018 597280 836192 1045240 1090036 1194560 1362545 1672384 1907563 2090480 2180072 2389120 2725090 3344768 3815126 4180960 4360144 5450180 7630252 8361920 8720288 9537815 10900360 15260504 16723840 17440576 19075630 21800720 30521008 34881152 38151260 43601440 61042016 76302520 87202880 113721241 122084032 152605040 174405760 227442482 244168064 305210080 454884964 568606205 610420160 796048687 909769928 1137212410 1220840320 1592097374 1819539856 2274424820 3184194748 3639079712 3980243435 4548849640 6368389496 7278159424 7960486870 8301650593 9097699280 12736778992 14556318848 15920973740 16603301186 18195398560 25473557984 31841947480 33206602372 36390797120 41508252965 50947115968 58111554151 63683894960 66413204744 72781594240 83016505930 101894231936 116223108302 127367789920 132826409488 166033011860 232446216604 254735579840 265652818976 290557770755 332066023720 424521392653 464892433208 509471159680 531305637952 581115541510 664132047440 849042785306 929784866416 1062611275904 1162231083020 1328264094880 1698085570612 1859569732832 2122606963265 2324462166040 2656528189760 2971649748571 3396171141224 3719139465664 4245213926530 4648924332080 5313056379520 5943299497142 6792342282448 7438278931328 8490427853060 9297848664160 11886598994284 13584684564896 14858248742855 16980855706120 18595697328320 23773197988568 27169369129792 29716497485710 30990061663669 33961711412240 37191394656640 47546395977136 54338738259584 59432994971420 61980123327338 67923422824480 95092791954272 118865989942840 123960246654676 135846845648960 154950308318345 190185583908544 216930431645683 237731979885680 247920493309352 271693691297920 309900616636690 380371167817088 433860863291366 475463959771360 495840986618704 619801233273380 867721726582732 950927919542720 991681973237408 1084652158228415 1239602466546760 1735443453165464 1901855839085440 1983363946474816 2169304316456830 2479204933093520 3470886906330928 3966727892949632 4338608632913660 4958409866187040 6941773812661856 8677217265827320 9916819732374080 13883547625323712 17354434531654640 19833639464748160 27767095250647424 34708869063309280 69417738126618560 138835476253237120
• Sum of all divisors σ(n): 384617504142737280
• Sum of proper divisors (its aliquot sum) s(n): 245782027889500160
• 138835476253237120 is an abundant number, because the sum of its proper divisors (245782027889500160) is greater than itself. Its abundance is 106946551636263040

Bases of 138835476253237120

• Binary: 111101101001111100010000101001100010010111101111110000000₂
• Hexadecimal: 0x1ED3E214C4BDF80
• Base-36: 11Z12HANENWG

Squares and roots of 138835476253237120

• 138835476253237120 squared (138835476253237120²) is 19275289466463168256267278945894400
• 138835476253237120 cubed (138835476253237120³) is 2676093992995418792980426970970574940229333680128000
• The square root of 138835476253237120 is 372606328.7884910845
• The cube root of 138835476253237120 is 517805.6896226669

Scales and comparisons

• 138,835,476,253,237,120 seconds is equal to 4,414,538,698 years, 27 weeks, 3 days, 7 hours, 38 minutes, 40 seconds.
• To count from 1 to 138,835,476,253,237,120 would take you about thirteen billion, two hundred forty-three million, six hundred sixteen thousand and ninety-five 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 138835476253237120 cubic inches would be around 43150.5 feet tall.

Recreational maths with 138835476253237120

• 138835476253237120 backwards is 021732352674538831
• 138835476253237120 is a Harshad number.
• The number of decimal digits it has is: 18
• The sum of 138835476253237120's digits is 70
• More coming soon!