138532762838400

Names of 138532762838400

• Cardinal: 138532762838400 can be written as One hundred thirty-eight trillion, five hundred thirty-two billion, seven hundred sixty-two million, eight hundred thirty-eight thousand, four hundred.

Scientific notation

• Scientific notation: 1.385327628384 × 10¹⁴

Factors of 138532762838400

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 16
• Sum of prime factors: 148

Divisors of 138532762838400

• Number of divisors d(n): 720
• Complete list of divisors:
  1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 25 28 30 32 35 40 42 48 49 50 56 60 64 70 75 80 84 96 98 100 105 112 120 128 131 140 147 150 160 168 175 192 196 200 210 224 240 245 262 280 294 300 320 336 350 384 392 393 400 420 448 480 490 524 525 560 588 600 640 655 672 700 735 784 786 800 840 896 917 960 980 1048 1050 1120 1176 1200 1225 1310 1344 1400 1470 1568 1572 1600 1680 1834 1920 1960 1965 2096 2100 2240 2352 2400 2450 2620 2688 2751 2800 2940 3136 3144 3200 3275 3360 3668 3675 3920 3930 4192 4200 4480 4585 4704 4800 4900 5240 5502 5600 5880 6272 6288 6419 6550 6720 7336 7350 7840 7860 8384 8400 9170 9408 9600 9800 9825 10480 11004 11200 11760 12576 12838 13100 13440 13755 14672 14700 15680 15720 16768 16800 17161 18340 18816 19257 19600 19650 20960 22008 22400 22925 23520 25152 25676 26200 27510 29344 29400 31360 31440 32095 33600 34322 36680 38514 39200 39300 41920 44016 45850 47040 50304 51352 51483 52400 55020 58688 58800 62880 64190 67200 68644 68775 73360 77028 78400 78600 83840 85805 88032 91700 94080 96285 102704 102966 104800 110040 117376 117600 120127 125760 128380 137288 137550 146720 154056 156800 157200 160475 171610 176064 183400 192570 205408 205932 209600 220080 235200 240254 251520 256760 257415 274576 275100 293440 308112 314400 320950 343220 352128 360381 366800 385140 410816 411864 419200 429025 440160 470400 480508 481425 513520 514830 549152 550200 586880 600635 616224 628800 641900 686440 720762 733600 770280 821632 823728 840889 858050 880320 961016 962850 1027040 1029660 1098304 1100400 1201270 1232448 1257600 1283800 1287075 1372880 1441524 1467200 1540560 1647456 1681778 1716100 1760640 1801905 1922032 1925700 2054080 2059320 2196608 2200800 2248091 2402540 2464896 2522667 2567600 2574150 2745760 2883048 2934400 3003175 3081120 3294912 3363556 3432200 3603810 3844064 3851400 4108160 4118640 4204445 4401600 4496182 4805080 5045334 5135200 5148300 5491520 5766096 6006350 6162240 6589824 6727112 6744273 6864400 7207620 7688128 7702800 8237280 8408890 8803200 8992364 9009525 9610160 10090668 10270400 10296600 10983040 11240455 11532192 12012700 12324480 12613335 13454224 13488546 13728800 14415240 15376256 15405600 15736637 16474560 16817780 17984728 18019050 19220320 20181336 20540800 20593200 21022225 22480910 23064384 24025400 25226670 26908448 26977092 27457600 28830480 30811200 31473274 32949120 33635560 33721365 35969456 36038100 38440640 40362672 41186400 42044450 44961820 46128768 47209911 48050800 50453340 53816896 53954184 54915200 56202275 57660960 61622400 62946548 63066675 67271120 67442730 71938912 72076200 76881280 78683185 80725344 82372800 84088900 89923640 94419822 96101600 100906680 107633792 107908368 110156459 112404550 115321920 125893096 126133350 134542240 134885460 143877824 144152400 157366370 161450688 164745600 168177800 168606825 179847280 188839644 192203200 201813360 215816736 220312918 224809100 230643840 236049555 251786192 252266700 269084480 269770920 287755648 288304800 294499921 314732740 322901376 330469377 336355600 337213650 359694560 377679288 384406400 393415925 403626720 431633472 440625836 449618200 472099110 503572384 504533400 538168960 539541840 550782295 576609600 588999842 629465480 660938754 672711200 674427300 719389120 755358576 786831850 807253440 863266944 881251672 883499763 899236400 944198220 1007144768 1009066800 1079083680 1101564590 1153219200 1177999684 1180247775 1258930960 1321877508 1345422400 1348854600 1438778240 1472499605 1510717152 1573663700 1614506880 1652346885 1762503344 1766999526 1798472800 1888396440 2014289536 2018133600 2061499447 2158167360 2203129180 2355999368 2360495550 2517861920 2643755016 2690844800 2697709200 2753911475 2944999210 3021434304 3147327400 3304693770 3525006688 3533999052 3596945600 3776792880 4036267200 4122998894 4316334720 4406258360 4417498815 4711998736 4720991100 5035723840 5287510032 5395418400 5507822950 5889998420 6042868608 6184498341 6294654800 6609387540 7050013376 7067998104 7193891200 7362498025 7553585760 8072534400 8245997788 8261734425 8812516720 8834997630 9423997472 9441982200 10071447680 10307497235 10575020064 10790836800 11015645900 11779996840 12368996682 12589309600 13218775080 14100026752 14135996208 14430496129 14724996050 15107171520 16491995576 16523468850 17625033440 17669995260 18847994944 18883964400 20614994470 21150040128 21581673600 22031291800 22087494075 23559993680 24737993364 25178619200 26437550160 28271992416 28860992258 29449992100 30214343040 30922491705 32983991152 33046937700 35250066880 35339990520 37695989888 37767928800 41229988940 42300080256 43291488387 44062583600 44174988150 47119987360 49475986728 50357238400 51537486175 52875100320 56543984832 57721984516 58899984200 61844983410 65967982304 66093875400 70500133760 70679981040 72152480645 75535857600 82459977880 86582976774 88125167200 88349976300 94239974720 98951973456 103074972350 105750200640 113087969664 115443969032 117799968400 123689966820 131935964608 132187750800 141359962080 144304961290 151071715200 154612458525 164919955760 173165953548 176250334400 176699952600 188479949440 197903946912 206149944700 211500401280 216457441935 230887938064 235599936800 247379933640 263871929216 264375501600 282719924160 288609922580 309224917050 329839911520 346331907096 352500668800 353399905200 360762403225 395807893824 412299889400 432914883870 461775876128 471199873600 494759867280 528751003200 565439848320 577219845160 618449834100 659679823040 692663814192 706799810400 721524806450 791615787648 824599778800 865829767740 923551752256 942399747200 989519734560 1057502006400 1082287209675 1154439690320 1236899668200 1319359646080 1385327628384 1413599620800 1443049612900 1649199557600 1731659535480 1847103504512 1979039469120 2164574419350 2308879380640 2473799336400 2770655256768 2827199241600 2886099225800 3298399115200 3463319070960 3958078938240 4329148838700 4617758761280 4947598672800 5541310513536 5772198451600 6596798230400 6926638141920 8658297677400 9235517522560 9895197345600 11544396903200 13853276283840 17316595354800 19790394691200 23088793806400 27706552567680 34633190709600 46177587612800 69266381419200 138532762838400
• Sum of all divisors σ(n): 534871979813700
• Sum of proper divisors (its aliquot sum) s(n): 396339216975300
• 138532762838400 is an abundant number, because the sum of its proper divisors (396339216975300) is greater than itself. Its abundance is 257806454136900

Bases of 138532762838400

• Binary: 11111011111111010101100000111100110010110000000₂
• Hexadecimal: 0x7DFEAC1E6580
• Base-36: 1D3T2M6MIO

Squares and roots of 138532762838400

• 138532762838400 squared (138532762838400²) is 19191326379640380024514560000
• 138532762838400 cubed (138532762838400³) is 2658627465905050448216124318567727104000000
• The square root of 138532762838400 is 11769994.1732525935
• The cube root of 138532762838400 is 51742.9078895641

Scales and comparisons

• 138,532,762,838,400 seconds is equal to 4,404,913 years, 18 weeks, 18 hours, 40 minutes.
• To count from 1 to 138,532,762,838,400 would take you about eleven million, twelve thousand, two hundred eighty-three 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 138532762838400 cubic inches would be around 4311.9 feet tall.

Recreational maths with 138532762838400

• 138532762838400 backwards is 004838267235831
• 138532762838400 is a Harshad number.
• The number of decimal digits it has is: 15
• The sum of 138532762838400's digits is 60
• More coming soon!