138057026016

Names of 138057026016

• Cardinal: 138057026016 can be written as One hundred thirty-eight billion, fifty-seven million, twenty-six thousand and sixteen.

Scientific notation

• Scientific notation: 1.38057026016 × 10¹¹

Factors of 138057026016

• Number of distinct prime factors ω(n): 8
• Total number of prime factors Ω(n): 13
• Sum of prime factors: 139

Divisors of 138057026016

• Number of divisors d(n): 1152
• Complete list of divisors:
  1 2 3 4 6 7 8 12 13 14 16 19 21 23 24 26 28 29 32 38 39 42 43 46 48 52 56 57 58 69 76 78 84 86 87 91 92 96 104 112 114 116 129 133 138 152 156 161 168 172 174 182 184 203 208 224 228 232 247 258 266 273 276 299 301 304 312 322 336 344 348 364 368 377 399 406 416 437 456 464 483 494 516 532 546 551 552 559 598 602 608 609 624 644 667 672 688 696 728 736 741 754 798 812 817 841 874 897 903 912 928 966 988 989 1032 1064 1092 1102 1104 1118 1131 1196 1204 1218 1247 1248 1288 1311 1334 1376 1392 1456 1482 1508 1596 1624 1634 1653 1677 1682 1729 1748 1794 1806 1824 1932 1976 1978 2001 2064 2093 2128 2184 2204 2208 2236 2262 2392 2408 2436 2451 2494 2523 2576 2622 2639 2668 2784 2912 2964 2967 3016 3059 3192 3248 3268 3306 3354 3364 3458 3496 3588 3612 3741 3857 3864 3913 3952 3956 4002 4128 4186 4256 4368 4408 4472 4524 4669 4784 4816 4872 4902 4988 5046 5152 5187 5244 5278 5336 5681 5719 5887 5928 5934 6032 6118 6279 6384 6496 6536 6612 6708 6728 6916 6923 6992 7163 7176 7224 7482 7714 7728 7826 7904 7912 7917 8004 8372 8671 8729 8736 8816 8944 9048 9177 9338 9568 9632 9744 9804 9976 10092 10374 10488 10556 10621 10672 10933 11362 11438 11571 11739 11774 11856 11868 12064 12236 12558 12673 12768 12857 13072 13224 13416 13456 13832 13846 13984 14007 14326 14352 14448 14964 15428 15456 15652 15824 15834 15979 16008 16211 16744 17043 17157 17342 17458 17632 17661 17888 18096 18354 18676 18791 19343 19488 19608 19952 20184 20748 20769 20976 21112 21242 21344 21489 21866 22724 22876 23142 23478 23548 23693 23712 23736 24472 25116 25346 25714 26013 26144 26187 26448 26832 26912 27664 27692 28014 28652 28681 28704 28896 29928 30856 31304 31648 31668 31863 31958 32016 32422 32799 33488 34086 34314 34684 34916 35322 36163 36192 36708 37352 37582 38019 38571 38686 39216 39767 39904 40368 41496 41538 41952 42224 42484 42978 43732 45448 45752 46284 46956 47096 47386 47472 47937 48633 48944 50141 50232 50692 51428 52026 52374 52896 53664 55328 55384 56028 56373 57304 57362 58029 59856 60697 61712 62608 63336 63726 63916 64032 64844 65598 66976 68172 68628 69368 69832 70644 71079 72326 73416 74347 74704 75164 76038 76531 77142 77372 78432 79534 80736 82992 83076 84448 84968 85956 86043 87464 88711 89999 90896 91504 92568 93912 94192 94772 94944 95874 97266 97888 100282 100464 101384 102856 104052 104748 108489 110768 111853 112056 112746 113477 114608 114724 116058 119301 119712 121394 123424 125216 126672 127452 127832 129688 131196 131537 135401 136344 137256 138736 139664 141288 142158 144652 146832 148694 149408 150328 150423 152076 153062 154284 154744 159068 164749 165851 165984 166152 169936 171912 172086 174928 177422 179998 181792 182091 183008 185136 187824 188384 189544 191748 194532 200564 200767 200928 202768 205712 207727 208104 209496 216978 221536 223041 223706 224112 225492 226954 229216 229448 229593 232116 238602 242788 244283 251459 253141 253344 254904 255664 259376 262392 263074 266133 269997 270802 272688 274512 277472 279328 282576 284316 289304 293664 297388 300656 300846 304152 306124 308009 308568 309488 318136 329498 331702 332304 335559 339872 340431 343824 344172 349856 354844 359996 364182 367517 370272 372853 375648 379088 383496 389064 394611 401128 401534 405536 406203 411424 415454 416208 418992 433956 446082 447412 448224 450984 453908 458896 459186 464232 470119 477204 485576 488566 494247 497553 502918 506282 509808 511328 518752 524784 526148 532266 539994 541604 544939 545376 549024 565152 568632 578608 594776 601312 601692 602301 608304 612248 616018 617136 618976 623181 636272 658996 663404 664608 671118 680862 687097 687648 688344 709688 719992 728364 732849 735034 745706 754377 758176 759423 766992 778128 789222 802256 803068 812406 830908 831749 832416 837984 867912 892164 894824 901968 907816 917792 918372 924027 928464 940238 954408 971152 977132 988494 995106 1005836 1012564 1019616 1049568 1052296 1064532 1079988 1083208 1089878 1102551 1118559 1137264 1153243 1157216 1189552 1203384 1204602 1216608 1224496 1232036 1234272 1246362 1272544 1317992 1326808 1342236 1361724 1374194 1376688 1410357 1419376 1439984 1454089 1456728 1465698 1470068 1491412 1508754 1518846 1533984 1556256 1578444 1604512 1606136 1624812 1634817 1661816 1663498 1709981 1735824 1760213 1784328 1789648 1803936 1815632 1836744 1848054 1856928 1880476 1908816 1942304 1954264 1976988 1990212 2011672 2025128 2061291 2104592 2129064 2156063 2159976 2166416 2179756 2205102 2237118 2274528 2306486 2379104 2406768 2409204 2448992 2464072 2492724 2495247 2572619 2609971 2635984 2653616 2684472 2723448 2748388 2753376 2820714 2838752 2879968 2908178 2913456 2931396 2940136 2982824 3017508 3037692 3156888 3212272 3249624 3269634 3290833 3323632 3326996 3419962 3459729 3471648 3520426 3568656 3579296 3631264 3673488 3696108 3760952 3814573 3817632 3908528 3953976 3980424 4023344 4050256 4122582 4209184 4258128 4312126 4319952 4332832 4359512 4362267 4410204 4474236 4612972 4777721 4809679 4813536 4818408 4928144 4985448 4990494 5129943 5145238 5219942 5271968 5280639 5307232 5368944 5446896 5496776 5641428 5816356 5822243 5826912 5862792 5880272 5965648 6035016 6075384 6313776 6424544 6468189 6499248 6539268 6581666 6647264 6653992 6839924 6919458 7040852 7084207 7137312 7346976 7392216 7521904 7629146 7717857 7817056 7829913 7907952 7960848 8046688 8100512 8245164 8516256 8624252 8639904 8719024 8724534 8820408 8932261 8948472 9225944 9555442 9619358 9636816 9856288 9872499 9970896 9980988 10259886 10290476 10439884 10561278 10737888 10812737 10893792 10993552 11282856 11443719 11632712 11644486 11725584 11760544 11931296 12070032 12150768 12627552 12936378 12998496 13078536 13163332 13307984 13679848 13838916 14081704 14168414 14333163 14429037 14784432 15043808 15258292 15435714 15659826 15803231 15815904 15921696 16490328 17248504 17438048 17449068 17466729 17640816 17864522 17896944 18451888 19110884 19238716 19273632 19744998 19941792 19961976 20519772 20580952 20879768 21122556 21252621 21625474 21987104 22565712 22887438 23265424 23288972 23451168 24140064 24301536 25872756 26157072 26326664 26615968 26796783 27359696 27677832 28163408 28336828 28666326 28858074 29568864 30516584 30871428 31319652 31606462 32438211 32980656 33444047 34497008 34898136 34933458 35281632 35729044 35793888 36903776 38221768 38477432 39489996 39923952 41039544 41161904 41759536 42245112 42505242 43250948 45131424 45774876 46530848 46577944 47409693 49589449 51745512 52314144 52653328 53593566 54719392 55355664 56326816 56673656 57332652 57716148 61033168 61742856 62525827 62639304 63212924 64876422 65961312 66888094 68994016 69796272 69866916 71458088 75689159 76443536 76954864 78979992 79847904 82079088 82323808 83519072 84490224 85010484 86501896 91549752 93155888 94819386 99178898 100332141 103491024 105306656 107187132 110622617 110711328 113347312 114665304 115432296 122066336 123485712 125051654 125278608 126425848 129752844 133776188 139592544 139733832 142916176 148768347 151378318 152887072 153909728 157959984 164158176 168980448 170020968 173003792 183099504 186311776 187577481 189638772 198357796 200664282 205442003 206982048 214374264 221245234 226694624 227067477 229330608 230864592 246971424 250103308 250557216 252851696 259505688 267552376 279467664 285832352 297536694 302756636 315919968 331867851 340041936 346007584 366199008 375154962 379277544 396715592 401328564 410884006 428748528 442490468 454134954 458661216 461729184 500206616 505703392 519011376 535104752 558935328 595073388 605513272 616326009 663735702 680083872 750309924 758555088 793431184 802657128 821768012 857497056 884980936 908269908 1000413232 1038022752 1070209504 1190146776 1211026544 1232652018 1327471404 1438094021 1500619848 1517110176 1586862368 1605314256 1643536024 1769961872 1816539816 2000826464 2380293552 2422053088 2465304036 2654942808 2876188042 3001239696 3210628512 3287072048 3539923744 3633079632 4314282063 4760587104 4930608072 5309885616 5752376084 6002479392 6574144096 7266159264 8628564126 9861216144 10619771232 11504752168 17257128252 19722432288 23009504336 34514256504 46019008672 69028513008 138057026016
• Sum of all divisors σ(n): 519195156480
• Sum of proper divisors (its aliquot sum) s(n): 381138130464
• 138057026016 is an abundant number, because the sum of its proper divisors (381138130464) is greater than itself. Its abundance is 243081104448

Bases of 138057026016

• Binary: 10000000100100110101110000100111100000₂
• Hexadecimal: 0x2024D709E0
• Base-36: 1RF7L71C

Squares and roots of 138057026016

• 138057026016 squared (138057026016²) is 19059742432382500832256
• 138057026016 cubed (138057026016³) is 2631331356845690038261908243972096
• The square root of 138057026016 is 371560.2589298269
• The cube root of 138057026016 is 5168.3609670169

Scales and comparisons

• 138,057,026,016 seconds is equal to 4,389 years, 40 weeks, 6 days, 5 hours, 53 minutes, 36 seconds.
• To count from 1 to 138,057,026,016 would take you about eight thousand, seven hundred seventy-nine 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 138057026016 cubic inches would be around 430.7 feet tall.

Recreational maths with 138057026016

• 138057026016 backwards is 610620750831
• 138057026016 is a Harshad number.
• The number of decimal digits it has is: 12
• The sum of 138057026016's digits is 39
• More coming soon!