138320099820

Names of 138320099820

• Cardinal: 138320099820 can be written as One hundred thirty-eight billion, three hundred twenty million, ninety-nine thousand, eight hundred twenty.

Scientific notation

• Scientific notation: 1.3832009982 × 10¹¹

Factors of 138320099820

• Number of distinct prime factors ω(n): 7
• Total number of prime factors Ω(n): 12
• Sum of prime factors: 166

Divisors of 138320099820

• Number of divisors d(n): 864
• Complete list of divisors:
  1 2 3 4 5 6 7 9 10 12 14 15 17 18 20 21 27 28 30 34 35 36 42 45 49 51 54 60 61 63 68 70 71 84 85 90 98 102 105 108 119 122 126 135 140 142 147 153 170 180 183 189 196 204 210 213 238 244 245 252 255 270 284 294 305 306 315 340 355 357 366 378 420 426 427 441 459 476 490 497 510 540 549 588 595 610 612 630 639 710 714 732 735 756 765 833 852 854 882 915 918 945 980 994 1020 1037 1065 1071 1098 1190 1207 1220 1260 1278 1281 1323 1420 1428 1470 1491 1530 1647 1666 1708 1764 1785 1830 1836 1890 1917 1988 2074 2130 2135 2142 2196 2205 2295 2380 2414 2485 2499 2556 2562 2646 2745 2940 2982 2989 3060 3111 3195 3213 3294 3332 3479 3570 3621 3660 3780 3834 3843 4148 4165 4260 4270 4284 4331 4410 4473 4590 4828 4970 4998 5041 5124 5185 5292 5355 5490 5964 5978 6035 6222 6390 6405 6426 6588 6615 6958 7140 7242 7259 7455 7497 7668 7686 8235 8330 8449 8540 8662 8820 8946 8967 9180 9333 9585 9940 9996 10082 10370 10437 10710 10863 10980 11529 11956 12070 12444 12495 12780 12810 12852 12993 13230 13419 13916 14484 14518 14910 14945 14994 15123 15372 15555 16065 16470 16660 16898 17324 17395 17892 17934 18105 18666 19170 19215 20164 20740 20874 21420 21655 21726 21777 22365 22491 23058 24140 24990 25205 25347 25620 25986 26460 26838 26901 27999 29036 29820 29890 29988 30246 30317 31110 31311 32130 32589 32940 33796 34790 35287 35868 36210 36295 37332 37485 38340 38430 38979 41748 42245 43310 43452 43554 44730 44835 44982 45369 46116 46665 49980 50410 50694 50813 51972 52185 53676 53802 54315 55998 57645 59143 59780 60492 60634 62220 62622 64260 64965 65178 65331 67095 69580 70574 72420 72590 73627 74970 75615 76041 76860 77958 80703 84490 85697 86620 87108 89460 89670 89964 90738 90951 93330 93933 100820 101388 101626 104370 105861 107604 108630 108885 111996 112455 115290 116937 118286 121268 125244 126735 129930 130356 130662 134190 134505 136107 139995 141148 145180 147254 149940 151230 151585 152082 152439 155916 156555 161406 162945 168980 171394 176435 177429 179340 181476 181902 186660 187866 194895 195993 203252 208740 211722 212219 217260 217770 220881 224910 226845 228123 230580 233874 236572 247009 253470 254065 257091 259860 261324 268380 269010 272214 272853 279990 294508 295715 302460 303170 304164 304878 307501 313110 317583 322812 325890 326655 342788 352870 354858 363804 368135 375732 380205 389790 391986 403515 423444 424438 428485 435540 441762 449820 453690 454755 456246 457317 467748 469665 494018 506940 508130 514182 515389 529305 532287 538020 544428 545706 559980 584685 591430 599879 606340 609756 615002 626220 635166 636657 651780 653310 662643 680535 705740 709716 736270 741027 760410 762195 771273 779580 783972 807030 818559 848876 856970 883524 887145 907380 909510 912492 914634 922503 939330 952749 979965 988036 1016260 1028364 1030778 1058610 1061095 1064574 1091412 1104405 1140615 1169370 1182860 1199758 1230004 1235045 1270332 1273314 1285455 1306620 1325286 1361070 1364265 1371951 1472540 1482054 1520820 1524390 1537505 1542546 1546167 1587915 1596861 1614060 1637118 1713940 1774290 1799637 1819020 1829268 1845006 1878660 1905498 1909971 1959930 1987929 2061556 2117220 2122190 2129148 2152507 2208810 2223081 2281230 2286585 2313819 2338740 2399516 2470090 2546628 2570910 2576945 2650572 2661435 2722140 2728530 2743902 2767509 2964108 2999395 3048780 3075010 3085092 3092334 3175830 3183285 3193722 3274236 3313215 3548580 3599274 3607723 3690012 3705135 3810996 3819942 3856365 3919860 3975858 4092795 4199153 4244380 4305014 4417620 4446162 4562460 4573170 4612515 4627638 4638501 4763745 4940180 5141820 5153890 5227517 5322870 5398911 5457060 5487804 5535018 5729913 5998790 6150020 6184668 6351660 6366570 6387444 6457521 6626430 6669243 6859755 7198548 7215446 7410270 7639884 7712730 7730835 7951716 7984305 8185590 8302527 8398306 8610028 8892324 8998185 9146340 9225030 9255276 9277002 9527490 9549855 9939645 10307780 10455034 10645740 10762535 10797822 10823169 11070036 11115405 11459826 11569095 11997580 12597459 12733140 12915042 13252860 13338486 13719510 13837545 13915503 14430892 14820540 15067549 15425460 15461670 15682551 15968610 16196733 16371180 16605054 16796612 17996370 18038615 18450060 18554004 19054980 19099710 19372563 19879290 20910068 20995765 21525070 21595644 21646338 22230810 22919652 23138190 23192505 25194918 25830084 26137585 26676972 26994555 27439020 27675090 27831006 28649565 30135098 30923340 31365102 31937220 32287605 32393466 32469507 33210108 33346215 35992740 36077230 36592619 37792377 38199420 38745126 39758580 41512635 41991530 43050140 43292676 44461620 45202647 46276380 46385010 47047653 50389836 52275170 53989110 54115845 55350180 55662012 57299130 58117689 60270196 62730204 62987295 64575210 64786932 64939014 66692430 69577515 72154460 73185238 75337745 75584754 77490252 78412755 80983665 83025270 83983060 90405294 92770020 94095306 96862815 97408521 104550340 107978220 108231690 109777857 113377131 114598260 116235378 125974590 129150420 129878028 133384860 135607941 139155030 141142959 146370476 150675490 151169508 156825510 161967330 162347535 166050540 180810588 182963095 188190612 188961885 193725630 194817042 216463380 219555714 226013235 226754262 232470756 235238265 251949180 256148333 271215882 278310060 282285918 290588445 301350980 313651020 323934660 324695070 329333571 365926190 377923770 387451260 389634084 406823823 439111428 452026470 453508524 470476530 487042605 512296666 542431764 548889285 564571836 566885655 581176890 649390140 658667142 678039705 705714795 731852380 755847540 768444999 813647646 904052940 940953060 974085210 988000713 1024593332 1097778570 1133771310 1162353780 1280741665 1317334284 1356079410 1411429590 1536889998 1627295292 1646667855 1948170420 1976001426 2034119115 2195557140 2267542620 2305334997 2561483330 2712158820 2822859180 3073779996 3293335710 3842224995 3952002852 4068238230 4610669994 4940003565 5122966660 6586671420 6916004991 7684449990 8136476460 9221339988 9880007130 11526674985 13832009982 15368899980 19760014260 23053349970 27664019964 34580024955 46106699940 69160049910 138320099820
• Sum of all divisors σ(n): 546416902080
• Sum of proper divisors (its aliquot sum) s(n): 408096802260
• 138320099820 is an abundant number, because the sum of its proper divisors (408096802260) is greater than itself. Its abundance is 269776702440

Bases of 138320099820

• Binary: 10000000110100100001010011100111101100₂
• Hexadecimal: 0x20348539EC
• Base-36: 1RJK7S30

Squares and roots of 138320099820

• 138320099820 squared (138320099820²) is 19132450014214764032400
• 138320099820 cubed (138320099820³) is 2646402395767346579879313714168000
• The square root of 138320099820 is 371914.1027441687
• The cube root of 138320099820 is 5171.6417312565

Scales and comparisons

• 138,320,099,820 seconds is equal to 4,398 years, 7 weeks, 6 days, 1 hour, 57 minutes.
• To count from 1 to 138,320,099,820 would take you about eight thousand, seven hundred ninety-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 138320099820 cubic inches would be around 431 feet tall.

Recreational maths with 138320099820

• 138320099820 backwards is 028990023831
• 138320099820 is a Harshad number.
• The number of decimal digits it has is: 12
• The sum of 138320099820's digits is 45
• More coming soon!