138688300800

Names of 138688300800

• Cardinal: 138688300800 can be written as One hundred thirty-eight billion, six hundred eighty-eight million, three hundred thousand, eight hundred.

Scientific notation

• Scientific notation: 1.386883008 × 10¹¹

Factors of 138688300800

• Number of distinct prime factors ω(n): 6
• Total number of prime factors Ω(n): 16
• Sum of prime factors: 455

Divisors of 138688300800

• Number of divisors d(n): 972
• Complete list of divisors:
  1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 20 21 24 25 28 29 30 32 35 36 40 42 45 48 50 56 58 60 63 64 70 72 75 80 84 87 90 96 100 105 112 116 120 126 128 140 144 145 150 160 168 174 175 180 192 200 203 210 224 225 232 240 252 256 261 280 288 290 300 315 320 336 348 350 360 384 400 406 409 420 435 448 450 464 480 504 522 525 560 576 580 600 609 630 640 672 696 700 720 725 768 800 812 818 840 841 870 896 900 928 960 1008 1015 1044 1050 1120 1152 1160 1200 1218 1227 1260 1280 1305 1344 1392 1400 1440 1450 1575 1600 1624 1636 1680 1682 1740 1792 1800 1827 1856 1920 2016 2030 2045 2088 2100 2175 2240 2304 2320 2400 2436 2454 2520 2523 2610 2688 2784 2800 2863 2880 2900 3045 3150 3200 3248 3272 3360 3364 3480 3600 3654 3681 3712 3840 4032 4060 4090 4176 4200 4205 4350 4480 4640 4800 4872 4908 5040 5046 5075 5220 5376 5568 5600 5726 5760 5800 5887 6090 6135 6300 6400 6496 6525 6544 6720 6728 6960 7200 7308 7362 7424 7569 8064 8120 8180 8352 8400 8410 8589 8700 8960 9135 9280 9600 9744 9816 10080 10092 10150 10225 10440 11136 11200 11452 11520 11600 11774 11861 12180 12270 12600 12615 12992 13050 13088 13440 13456 13920 14315 14400 14616 14724 15138 15225 16128 16240 16360 16704 16800 16820 17178 17400 17661 18270 18405 18560 19200 19488 19632 20160 20184 20300 20450 20880 21025 22272 22400 22904 23200 23548 23722 24360 24540 25200 25230 25767 25984 26100 26176 26880 26912 27840 28630 28800 29232 29435 29448 30276 30450 30675 32480 32720 33408 33600 33640 34356 34800 35322 35583 36540 36810 37120 37845 38976 39264 40320 40368 40600 40900 41760 42050 42945 44800 45675 45808 46400 47096 47444 48720 49080 50400 50460 51534 51968 52200 52352 52983 53824 55680 57260 57600 58464 58870 58896 59305 60552 60900 61350 63075 64960 65440 66816 67200 67280 68712 69600 70644 71166 71575 73080 73620 75690 77952 78528 80640 80736 81200 81800 83027 83520 84100 85890 88305 91350 91616 92025 92800 94192 94888 97440 98160 100800 100920 103068 104400 104704 105966 106749 107648 111360 114520 116928 117740 117792 118610 121104 121800 122700 126150 128835 129920 130880 134400 134560 137424 139200 141288 142332 143150 146160 147175 147240 151380 155904 157056 161472 162400 163600 166054 167040 168200 171780 176610 177915 182700 183232 184050 185600 188384 189225 189776 194880 196320 201600 201840 206136 208800 211932 213498 214725 215296 229040 233856 235480 235584 237220 242208 243600 245400 249081 252300 257670 259840 261760 264915 269120 274848 278400 282576 284664 286300 292320 294350 294480 296525 302760 314112 322944 324800 327200 332108 334080 336400 343560 343969 353220 355830 365400 366464 368100 376768 378450 379552 389760 392640 403200 403680 412272 415135 417600 423864 426996 429450 441525 458080 467712 470960 471168 474440 484416 487200 490800 498162 504600 515340 523520 529830 533745 538240 549696 556800 565152 569328 572600 584640 588700 588960 593050 605520 644175 645888 649600 654400 664216 672800 687120 687938 706440 711660 730800 732928 736200 747243 753536 756900 759104 779520 785280 807360 824544 830270 835200 847728 853992 858900 883050 889575 916160 941920 942336 948880 968832 974400 981600 996324 1009200 1030680 1031907 1059660 1067490 1076480 1099392 1130304 1138656 1145200 1169280 1177400 1177920 1186100 1211040 1245405 1288350 1299200 1308800 1324575 1328432 1345600 1374240 1375876 1412880 1423320 1461600 1472400 1494486 1507072 1513800 1518208 1570560 1614720 1649088 1660540 1670400 1695456 1707984 1717800 1719845 1766100 1779150 1832320 1883840 1897760 1937664 1948800 1963200 1992648 2018400 2061360 2063814 2075675 2119320 2134980 2198784 2260608 2277312 2290400 2338560 2354800 2355840 2372200 2407783 2422080 2490810 2576700 2617600 2649150 2656864 2668725 2691200 2748480 2751752 2825760 2846640 2923200 2944800 2988972 3027600 3036416 3095721 3229440 3298176 3321080 3390912 3415968 3435600 3439690 3532200 3558300 3664640 3736215 3767680 3795520 3897600 3926400 3985296 4036800 4122720 4127628 4151350 4238640 4269960 4521216 4554624 4580800 4709600 4711680 4744400 4815566 4844160 4981620 5153400 5159535 5298300 5313728 5337450 5382400 5496960 5503504 5651520 5693280 5846400 5889600 5977944 6055200 6191442 6227025 6596352 6642160 6781824 6831936 6871200 6879380 7064400 7116600 7223349 7472430 7535360 7591040 7852800 7970592 8073600 8245440 8255256 8302700 8477280 8539920 8599225 9109248 9161600 9419200 9488800 9631132 9688320 9963240 10306800 10319070 10596600 10627456 10674900 10993920 11007008 11303040 11386560 11692800 11779200 11955888 12038915 12110400 12382884 12454050 13284320 13563648 13663872 13742400 13758760 14128800 14233200 14446698 14944860 15182080 15478605 15941184 16147200 16490880 16510512 16605400 16954560 17079840 17198450 18323200 18681075 18838400 18977600 19262264 19926480 20613600 20638140 21193200 21254912 21349800 21670047 22014016 22606080 22773120 23558400 23911776 24077830 24220800 24765768 24908100 25797675 26568640 27327744 27484800 27517520 28257600 28466400 28893396 29889720 30957210 31882368 32981760 33021024 33210800 33909120 34159680 34396900 36116745 37362150 37676800 37955200 38524528 39852960 41227200 41276280 42386400 42699600 43340094 44028032 45546240 47823552 48155660 48441600 49531536 49816200 51595350 53137280 54969600 55035040 56515200 56932800 57786792 59779440 60194575 61914420 63764736 66042048 66421600 67818240 68319360 68793800 72233490 74724300 75910400 77049056 77393025 79705920 82454400 82552560 84772800 85399200 86680188 88056064 95647104 96311320 99063072 99632400 103190700 106274560 108350235 110070080 113030400 113865600 115573584 119558880 120389150 123828840 132084096 132843200 136638720 137587600 144466980 149448600 154098112 154786050 159411840 164908800 165105120 169545600 170798400 173360376 180583725 191294208 192622640 198126144 199264800 206381400 216700470 220140160 227731200 231147168 239117760 240778300 247657680 264168192 265686400 275175200 288933960 298897200 308196224 309572100 318823680 330210240 339091200 341596800 346720752 361167450 385245280 396252288 398529600 412762800 433400940 440280320 462294336 478235520 481556600 495315360 531372800 541751175 550350400 577867920 597794400 616392448 619144200 660420480 683193600 693441504 722334900 770490560 792504576 797059200 825525600 866801880 924588672 956471040 963113200 990630720 1083502350 1100700800 1155735840 1195588800 1238288400 1320840960 1386883008 1444669800 1540981120 1594118400 1651051200 1733603760 1849177344 1926226400 1981261440 2167004700 2201401600 2311471680 2391177600 2476576800 2773766016 2889339600 3081962240 3302102400 3467207520 3852452800 3962522880 4334009400 4622943360 4782355200 4953153600 5547532032 5778679200 6604204800 6934415040 7704905600 8668018800 9245886720 9906307200 11557358400 13868830080 15409811200 17336037600 19812614400 23114716800 27737660160 34672075200 46229433600 69344150400 138688300800
• Sum of all divisors σ(n): 588325869040
• Sum of proper divisors (its aliquot sum) s(n): 449637568240
• 138688300800 is an abundant number, because the sum of its proper divisors (449637568240) is greater than itself. Its abundance is 310949267440

Bases of 138688300800

• Binary: 10000001001010011101111000011100000000₂
• Hexadecimal: 0x204A778700
• Base-36: 1RPNFLS0

Squares and roots of 138688300800

• 138688300800 squared (138688300800²) is 19234444778791280640000
• 138688300800 cubed (138688300800³) is 2667592463201994589817536512000000
• The square root of 138688300800 is 372408.7818513415
• The cube root of 138688300800 is 5176.2265467675

Scales and comparisons

• 138,688,300,800 seconds is equal to 4,409 years, 44 weeks, 4 days, 16 hours.
• To count from 1 to 138,688,300,800 would take you about eight thousand, eight hundred nineteen 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 138688300800 cubic inches would be around 431.4 feet tall.

Recreational maths with 138688300800

• 138688300800 backwards is 008003886831
• 138688300800 is a Harshad number.
• The number of decimal digits it has is: 12
• The sum of 138688300800's digits is 45
• More coming soon!