138617152128

Names of 138617152128

• Cardinal: 138617152128 can be written as One hundred thirty-eight billion, six hundred seventeen million, one hundred fifty-two thousand, one hundred twenty-eight.

Scientific notation

• Scientific notation: 1.38617152128 × 10¹¹

Factors of 138617152128

• Number of distinct prime factors ω(n): 6
• Total number of prime factors Ω(n): 14
• Sum of prime factors: 1867

Divisors of 138617152128

• Number of divisors d(n): 576
• Complete list of divisors:
  1 2 3 4 6 7 8 9 12 13 14 16 18 21 24 26 28 32 36 39 42 48 49 52 56 63 64 72 78 84 91 96 98 104 109 112 117 126 128 144 147 156 168 182 192 196 208 218 224 234 252 273 288 294 312 327 336 364 384 392 416 436 441 448 468 504 546 576 588 624 637 654 672 728 763 784 819 832 872 882 896 936 981 1008 1092 1152 1176 1248 1274 1308 1344 1417 1456 1526 1568 1638 1664 1733 1744 1764 1872 1911 1962 2016 2184 2289 2352 2496 2548 2616 2688 2834 2912 3052 3136 3276 3466 3488 3528 3744 3822 3924 4032 4251 4368 4578 4704 4992 5096 5199 5232 5341 5668 5733 5824 6104 6272 6552 6867 6932 6976 7056 7488 7644 7848 8064 8502 8736 9156 9408 9919 10192 10398 10464 10682 11336 11466 11648 12131 12208 12753 13104 13734 13864 13952 14112 14976 15288 15597 15696 16023 17004 17472 18312 18816 19838 20384 20796 20928 21364 22529 22672 22932 24262 24416 25506 26208 27468 27728 28224 29757 30576 31194 31392 32046 34008 34944 36393 36624 39676 40768 41592 41856 42728 45058 45344 45864 48069 48524 48832 51012 52416 54936 55456 56448 59514 61152 62388 62784 64092 67587 68016 69433 72786 73248 79352 81536 83184 84917 85456 89271 90116 90688 91728 96138 97048 97664 102024 104832 109179 109872 110912 119028 122304 124776 125568 128184 135174 136032 138866 145572 146496 157703 158704 166368 169834 170912 178542 180232 181376 183456 188897 192276 194096 202761 204048 208299 218358 219744 221824 238056 244608 249552 254751 256368 270348 272064 277732 291144 292992 315406 317408 332736 339668 341824 357084 360464 366912 377794 384552 388192 405522 408096 416598 436716 439488 473109 476112 499104 509502 512736 540696 544128 555464 566691 582288 624897 630812 634816 665472 679336 683648 714168 720928 733824 755588 764253 769104 776384 811044 816192 833196 873432 878976 946218 952224 998208 1019004 1025472 1081392 1103921 1110928 1133382 1164576 1249794 1261624 1269632 1322279 1358672 1419327 1428336 1441856 1511176 1528506 1538208 1552768 1622088 1632384 1666392 1700073 1746864 1892436 1904448 1996416 2038008 2050944 2162784 2207842 2221856 2266764 2329152 2455661 2499588 2523248 2644558 2717344 2838654 2856672 2883712 3022352 3057012 3076416 3244176 3311763 3332784 3400146 3493728 3784872 3808896 3966837 4076016 4325568 4415684 4443712 4533528 4658304 4911322 4999176 5046496 5289116 5434688 5677308 5713344 6044704 6114024 6152832 6488352 6623526 6665568 6800292 6987456 7366983 7569744 7933674 8152032 8651136 8831368 8887424 9067056 9255953 9822644 9935289 9998352 10092992 10578232 10869376 11354616 11426688 11900511 12089408 12228048 12976704 13247052 13331136 13600584 13974912 14733966 15139488 15867348 16304064 17189627 17662736 18134112 18511906 19645288 19870578 19996704 20185984 21156464 22100949 22709232 23801022 24178816 24456096 25953408 26494104 26662272 27201168 27767859 29467932 30278976 31734696 32608128 34379254 35325472 36268224 37023812 39290576 39741156 39993408 42312928 44201898 45418464 47602044 48912192 51568881 52988208 54402336 55535718 58935864 60557952 63469392 68758508 70650944 72536448 74047624 78581152 79482312 79986816 83303577 84625856 88403796 90836928 95204088 97824384 103137762 105976416 108804672 111071436 117871728 120327389 126938784 137517016 141301888 148095248 154706643 157162304 158964624 166607154 169251712 176807592 181673856 190408176 206275524 211952832 217609344 222142872 235743456 240654778 253877568 275034032 296190496 309413286 314324608 317929248 333214308 353615184 360982167 380816352 412551048 423905664 444285744 471486912 481309556 507755136 550068064 592380992 618826572 635858496 666428616 707230368 721964334 761632704 825102096 888571488 942973824 962619112 1082946501 1100136128 1184761984 1237653144 1271716992 1332857232 1414460736 1443928668 1523265408 1650204192 1777142976 1925238224 2165893002 2200272256 2475306288 2665714464 2828921472 2887857336 3300408384 3554285952 3850476448 4331786004 4950612576 5331428928 5775714672 6600816768 7700952896 8663572008 9901225152 10662857856 11551429344 15401905792 17327144016 19802450304 23102858688 34654288032 46205717376 69308576064 138617152128
• Sum of all divisors σ(n): 504577873800
• Sum of proper divisors (its aliquot sum) s(n): 365960721672
• 138617152128 is an abundant number, because the sum of its proper divisors (365960721672) is greater than itself. Its abundance is 227343569544

Bases of 138617152128

• Binary: 10000001000110001110011110001010000000₂
• Hexadecimal: 0x204639E280
• Base-36: 1ROH2N40

Squares and roots of 138617152128

• 138617152128 squared (138617152128²) is 19214714864077094928384
• 138617152128 cubed (138617152128³) is 2663489053409917510008102193201152
• The square root of 138617152128 is 372313.2446314527
• The cube root of 138617152128 is 5175.3412410421

Scales and comparisons

• 138,617,152,128 seconds is equal to 4,407 years, 31 weeks, 4 hours, 28 minutes, 48 seconds.
• To count from 1 to 138,617,152,128 would take you about eight thousand, eight hundred fifteen 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 138617152128 cubic inches would be around 431.3 feet tall.

Recreational maths with 138617152128

• 138617152128 backwards is 821251716831
• The number of decimal digits it has is: 12
• The sum of 138617152128's digits is 45
• More coming soon!