138225337536

Names of 138225337536

• Cardinal: 138225337536 can be written as One hundred thirty-eight billion, two hundred twenty-five million, three hundred thirty-seven thousand, five hundred thirty-six.

Scientific notation

• Scientific notation: 1.38225337536 × 10¹¹

Factors of 138225337536

• Number of distinct prime factors ω(n): 8
• Total number of prime factors Ω(n): 13
• Sum of prime factors: 351

Divisors of 138225337536

• Number of divisors d(n): 896
• Complete list of divisors:
  1 2 3 4 6 8 11 12 13 16 17 22 24 26 31 32 33 34 39 41 44 48 51 52 62 64 66 68 78 82 88 93 96 102 104 123 124 132 136 143 156 164 176 186 187 192 204 208 221 233 246 248 264 272 286 312 328 341 352 372 374 403 408 416 429 442 451 466 492 496 527 528 533 544 561 572 624 656 663 682 697 699 704 744 748 806 816 832 858 884 902 932 984 992 1023 1054 1056 1066 1088 1122 1144 1209 1248 1271 1312 1326 1353 1364 1394 1398 1488 1496 1581 1599 1612 1632 1716 1768 1804 1864 1968 1984 2046 2091 2108 2112 2132 2244 2288 2418 2431 2496 2542 2563 2624 2652 2706 2728 2788 2796 2976 2992 3029 3162 3198 3224 3264 3432 3536 3608 3728 3813 3936 3961 4092 4182 4216 4264 4433 4488 4576 4836 4862 5084 5126 5304 5412 5456 5576 5592 5797 5863 5952 5984 6058 6324 6396 6448 6851 6864 7072 7216 7223 7293 7456 7626 7667 7689 7872 7922 8184 8364 8432 8528 8866 8976 9061 9087 9152 9553 9672 9724 10168 10252 10608 10824 10912 11152 11184 11594 11726 11883 11968 12116 12648 12792 12896 13299 13702 13728 13981 14144 14432 14446 14586 14912 15252 15334 15378 15844 16368 16523 16728 16864 17056 17391 17589 17732 17952 18122 18174 19106 19344 19448 20336 20504 20553 21216 21607 21648 21669 21824 22304 22368 23001 23188 23452 23766 24232 25296 25584 25792 26598 27183 27404 27456 27962 28659 28864 28892 29172 30504 30668 30756 31688 32736 33046 33319 33456 33728 34112 34782 35178 35464 35904 36244 36348 38212 38688 38896 40672 41008 41106 41943 42432 43214 43296 43338 43571 44608 44736 46002 46376 46904 47532 48464 49569 50592 51168 51493 53196 54366 54808 55924 57318 57784 58344 61008 61336 61512 63376 64821 65472 66092 66638 66912 69564 70356 70928 72488 72696 75361 76424 77376 77792 79453 81344 82016 82212 83886 86428 86592 86676 87142 92004 92752 93808 93899 95064 96928 99138 99671 99957 101184 102336 102986 105083 106392 108732 109616 111848 114636 115568 116688 122016 122672 122791 123024 124189 126752 129642 130713 132184 133276 133824 139128 140712 141856 144976 145392 150722 152848 154479 155584 158906 162401 164032 164424 167772 172856 173352 174284 181753 184008 185504 187616 187798 190128 193856 198276 199342 199914 205972 210166 212784 217464 219232 223696 226083 229272 231136 233376 237677 238359 244032 245344 245582 246048 248378 253504 259284 261426 264368 266552 278256 280891 281424 281697 283712 289952 290784 296143 299013 301444 305696 308958 315249 317812 324802 328848 335544 345712 346704 348568 363506 368016 368373 371008 372567 375232 375596 380256 396552 398684 399828 411944 420332 425568 434928 438464 447392 452166 458544 462272 466752 475354 476718 487203 490688 491164 492096 496756 518568 522852 528736 533104 545259 556512 561782 562848 563394 566423 579904 581568 592286 598026 602888 611392 617916 630498 635624 649604 657696 671088 691424 693408 697136 713031 727012 736032 736746 745134 751192 760512 793104 797368 799656 823888 840664 842673 851136 869856 888429 894784 904332 917088 950708 953436 974406 982328 993512 1032889 1037136 1045704 1057472 1066208 1090518 1113024 1123564 1125696 1126788 1132846 1184572 1196052 1205776 1235832 1260996 1271248 1299208 1315392 1342176 1350701 1366079 1382848 1386816 1394272 1426062 1454024 1472064 1473492 1490268 1502384 1586208 1594736 1596283 1599312 1647776 1681328 1685346 1699269 1739712 1776858 1786411 1808664 1834176 1901416 1906872 1948812 1964656 1987024 2065778 2074272 2091408 2111213 2132416 2181036 2247128 2253576 2265692 2369144 2392104 2411552 2471664 2521992 2542496 2598416 2684352 2701402 2732158 2788544 2852124 2908048 2946984 2980536 3004768 3089801 3098667 3172416 3189472 3192566 3198624 3257573 3295552 3362656 3370692 3398538 3553716 3572822 3617328 3802832 3813744 3849859 3897624 3929312 3974048 4052103 4098237 4131556 4148544 4182816 4222426 4362072 4494256 4507152 4531384 4738288 4784208 4788849 4823104 4943328 5034431 5043984 5084992 5196832 5359233 5402804 5464316 5704248 5816096 5893968 5961072 6009536 6179602 6197334 6333639 6378944 6385132 6397248 6515146 6725312 6741384 6797076 7107432 7145644 7234656 7605664 7627488 7699718 7795248 7858624 7948096 8104206 8196474 8263112 8365632 8444852 8724144 8988512 9014304 9062768 9269403 9476576 9568416 9577698 9772719 9886656 10068862 10087968 10393664 10718466 10805608 10928632 11408496 11549577 11632192 11787936 11922144 12359204 12394668 12667278 12770264 13030292 13482768 13594152 14214864 14291288 14469312 15103293 15211328 15254976 15399436 15590496 16208412 16392948 16526224 16889704 17448288 17559113 17977024 18028608 18125536 18538806 18953152 19136832 19155396 19545438 20137724 20175936 21436932 21611216 21857264 22816992 23099154 23223343 23575872 23844288 24718408 24789336 25334556 25540528 26060584 26965536 27188304 28429728 28582576 30206586 30798872 31180992 32416824 32785896 33052448 33779408 34896576 35118226 36251072 37077612 38310792 39090876 40275448 42348449 42873864 43222432 43714528 45633984 46198308 46446686 49436816 49578672 50669112 51081056 52121168 52677339 53931072 54376608 55378741 56859456 57165152 60413172 61597744 64833648 65447603 65571792 66104896 67558816 69670029 70236452 74155224 76621584 78181752 80550896 84696898 85747728 86444864 87429056 92396616 92893372 98873632 99157344 101338224 102162112 104242336 105354678 108753216 110757482 114330304 120826344 123195488 127045347 129667296 130895206 131143584 135117632 139340058 140472904 148310448 153243168 156363504 161101792 166136223 169393796 171495456 184793232 185786744 196342809 197747264 198314688 202676448 208484672 210709356 221514964 241652688 246390976 254090694 259334592 261790412 262287168 278680116 280945808 296620896 306486336 312727008 322203584 332272446 338787592 342990912 369586464 371573488 392685618 405352896 421418712 443029928 483305376 508181388 523580824 557360232 561891616 593241792 625454016 664544892 677575184 719923633 739172928 743146976 785371236 842837424 886059856 966610752 1016362776 1047161648 1114720464 1123783232 1329089784 1355150368 1439847266 1486293952 1570742472 1685674848 1772119712 2032725552 2094323296 2159770899 2229440928 2658179568 2710300736 2879694532 3141484944 3371349696 3544239424 4065451104 4188646592 4319541798 4458881856 5316359136 5759389064 6282969888 8130902208 8639083596 10632718272 11518778128 12565939776 17278167192 23037556256 34556334384 46075112512 69112668768 138225337536
• Sum of all divisors σ(n): 483126239232
• Sum of proper divisors (its aliquot sum) s(n): 344900901696
• 138225337536 is an abundant number, because the sum of its proper divisors (344900901696) is greater than itself. Its abundance is 206675564160

Bases of 138225337536

• Binary: 10000000101110110111110100010011000000₂
• Hexadecimal: 0x202EDF44C0
• Base-36: 1RHZSP1C

Squares and roots of 138225337536

• 138225337536 squared (138225337536²) is 19106243936941130551296
• 138225337536 cubed (138225337536³) is 2640967017228841269814331362246656
• The square root of 138225337536 is 371786.6828384255
• The cube root of 138225337536 is 5170.4604410419

Scales and comparisons

• 138,225,337,536 seconds is equal to 4,395 years, 7 weeks, 1 day, 7 hours, 5 minutes, 36 seconds.
• To count from 1 to 138,225,337,536 would take you about eight thousand, seven hundred ninety 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 138225337536 cubic inches would be around 430.9 feet tall.

Recreational maths with 138225337536

• 138225337536 backwards is 635733522831
• 138225337536 is a Harshad number.
• The number of decimal digits it has is: 12
• The sum of 138225337536's digits is 48
• More coming soon!