138645388224

Names of 138645388224

• Cardinal: 138645388224 can be written as One hundred thirty-eight billion, six hundred forty-five million, three hundred eighty-eight thousand, two hundred twenty-four.

Scientific notation

• Scientific notation: 1.38645388224 × 10¹¹

Factors of 138645388224

• Number of distinct prime factors ω(n): 7
• Total number of prime factors Ω(n): 13
• Sum of prime factors: 3748

Divisors of 138645388224

• Number of divisors d(n): 672
• Complete list of divisors:
  1 2 3 4 6 7 8 9 12 14 16 17 18 19 21 24 28 29 32 34 36 38 42 48 51 56 57 58 63 64 68 72 76 84 87 96 102 112 114 116 119 126 133 136 144 152 153 168 171 174 192 203 204 224 228 232 238 252 261 266 272 288 304 306 323 336 342 348 357 399 406 408 448 456 464 476 493 504 522 532 544 551 576 608 609 612 646 672 684 696 714 798 812 816 912 928 952 969 986 1008 1044 1064 1071 1088 1102 1197 1216 1218 1224 1292 1344 1368 1392 1428 1479 1596 1624 1632 1653 1824 1827 1856 1904 1938 1972 2016 2088 2128 2142 2204 2261 2394 2436 2448 2584 2736 2784 2856 2907 2958 3192 3248 3264 3306 3451 3648 3654 3671 3808 3857 3876 3944 4032 4176 4256 4284 4408 4437 4522 4788 4872 4896 4959 5168 5472 5568 5712 5814 5916 6384 6496 6612 6783 6902 7308 7342 7616 7714 7752 7888 8352 8512 8568 8816 8874 9044 9367 9576 9744 9792 9918 10336 10353 10944 11013 11424 11571 11628 11832 12768 12992 13224 13566 13804 14616 14684 15428 15504 15776 16704 17136 17632 17748 18088 18734 19152 19488 19836 20349 20672 20706 22026 22848 23142 23256 23664 25536 25697 26448 27132 27608 28101 29232 29368 30856 31008 31059 31552 33039 34272 34713 35264 35496 36176 37468 38304 38976 39672 40698 41412 44052 46284 46512 47328 51394 52896 54264 55216 56202 58464 58736 61712 62016 62118 62407 65569 66078 68544 69426 69749 70992 72352 74936 76608 77091 79344 81396 82824 84303 88104 92568 93024 94656 102788 105792 106459 108528 110432 112404 116928 117472 123424 124236 124814 131138 132156 138852 139498 141984 144704 149872 154182 158688 162792 165648 168606 176208 185136 186048 187221 196707 205576 209247 212918 217056 220864 224808 231273 234944 246848 248472 249628 262276 264312 277704 278996 283968 299744 308364 317376 319377 325584 331296 337212 352416 370272 374442 393414 411152 418494 425836 434112 436849 449616 462546 488243 496944 499256 524552 528624 555408 557992 561663 590121 599488 616728 627741 638754 651168 662592 674424 704832 740544 745213 748884 786828 822304 836988 851672 873698 899232 925092 958131 976486 993888 998512 1049104 1057248 1110816 1115984 1123326 1180242 1185733 1233456 1255482 1277508 1302336 1310547 1348848 1464729 1490426 1497768 1573656 1644608 1673976 1703344 1747396 1798464 1809803 1850184 1916262 1952972 1987776 1997024 2022721 2098208 2114496 2221632 2231968 2235639 2246652 2360484 2371466 2466912 2510964 2555016 2621094 2697696 2929458 2980852 2995536 3147312 3347952 3406688 3494792 3557199 3619606 3700368 3832524 3905944 3931641 3994048 4045442 4196416 4394187 4463936 4471278 4493304 4720968 4742932 4933824 5021928 5110032 5242188 5395392 5429409 5858916 5961704 5991072 6068163 6294624 6695904 6706917 6813376 6989584 7114398 7239212 7400736 7665048 7811888 7863282 8090884 8300131 8788374 8942556 8986608 9441936 9485864 10043856 10220064 10484376 10671597 10858818 11717832 11923408 11982144 12136326 12589248 12668621 13391808 13413834 13979168 14159047 14228796 14478424 14801472 15330096 15623776 15726564 16181768 16288227 16600262 17576748 17885112 17973216 18204489 18883872 18971728 20087712 20440128 20968752 21343194 21717636 23435664 23846816 24272652 24900393 25337242 26827668 27958336 28318094 28457592 28956848 30660192 31247552 31453128 32363536 32576454 33200524 34386257 35153496 35770224 35946432 36408978 37767744 37943456 38005863 40175424 41937504 42477141 42686388 43435272 46871328 47693632 48545304 49800786 50674484 53655336 56636188 56915184 57913696 61320384 62906256 64727072 65152908 66401048 68772514 70306992 71540448 72817956 74701179 75886912 76011726 83875008 84954282 85372776 86870544 93742656 97090608 99601572 101348968 103158771 107310672 113272376 113830368 114017589 115827392 125812512 127431423 129454144 130305816 132802096 137545028 140613984 143080896 145635912 149402358 152023452 169908564 170745552 173741088 194181216 199203144 202697936 206317542 214621344 226544752 227660736 228035178 240703799 251625024 254862846 260611632 265604192 275090056 281227968 291271824 298804716 304046904 309476313 339817128 341491104 347482176 388362432 398406288 405395872 412635084 429242688 453089504 456070356 481407598 509725692 521223264 531208384 550180112 582543648 597609432 608093808 618952626 679634256 682982208 722111397 796812576 810791744 825270168 906179008 912140712 962815196 1019451384 1042446528 1100360224 1165087296 1195218864 1216187616 1237905252 1359268512 1444222794 1593625152 1650540336 1824281424 1925630392 2038902768 2166334191 2200720448 2390437728 2432375232 2475810504 2718537024 2888445588 3301080672 3648562848 3851260784 4077805536 4332668382 4780875456 4951621008 5776891176 6602161344 7297125696 7702521568 8155611072 8665336764 9903242016 11553782352 15405043136 17330673528 19806484032 23107564704 34661347056 46215129408 69322694112 138645388224
• Sum of all divisors σ(n): 523797580800
• Sum of proper divisors (its aliquot sum) s(n): 385152192576
• 138645388224 is an abundant number, because the sum of its proper divisors (385152192576) is greater than itself. Its abundance is 246506804352

Bases of 138645388224

• Binary: 10000001000111111010001011101111000000₂
• Hexadecimal: 0x2047E8BBC0
• Base-36: 1ROXVU80

Squares and roots of 138645388224

• 138645388224 squared (138645388224²) is 19222543675783677874176
• 138645388224 cubed (138645388224³) is 2665117030581824006307690544103424
• The square root of 138645388224 is 372351.1625119491
• The cube root of 138645388224 is 5175.6926201433

Scales and comparisons

• 138,645,388,224 seconds is equal to 4,408 years, 25 weeks, 4 days, 23 hours, 50 minutes, 24 seconds.
• To count from 1 to 138,645,388,224 would take you about eight thousand, eight hundred sixteen 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 138645388224 cubic inches would be around 431.3 feet tall.

Recreational maths with 138645388224

• 138645388224 backwards is 422883546831
• The number of decimal digits it has is: 12
• The sum of 138645388224's digits is 54
• More coming soon!