138420648465918

Names of 138420648465918

• Cardinal: 138420648465918 can be written as One hundred thirty-eight trillion, four hundred twenty billion, six hundred forty-eight million, four hundred sixty-five thousand, nine hundred eighteen.

Scientific notation

• Scientific notation: 1.38420648465918 × 10¹⁴

Factors of 138420648465918

• Number of distinct prime factors ω(n): 8
• Total number of prime factors Ω(n): 9
• Sum of prime factors: 23705

Divisors of 138420648465918

• Number of divisors d(n): 384
• Complete list of divisors:
  1 2 3 6 7 13 14 21 26 31 39 42 49 62 78 91 93 97 98 147 182 186 194 217 273 291 294 403 434 523 546 582 637 651 679 806 1046 1209 1261 1274 1302 1358 1519 1569 1911 2037 2418 2522 2821 3007 3038 3138 3661 3783 3822 4074 4557 4753 5642 6014 6799 7322 7566 8463 8827 9021 9114 9506 10983 13598 14259 16213 16926 17654 18042 19747 20397 21049 21966 23029 25627 26481 28518 32426 39091 39494 40794 42098 46058 47593 48639 50731 51254 52962 59241 61789 63147 69087 76881 78182 95186 97278 101462 113491 117273 118482 123578 126294 138174 142779 147343 152193 153762 161203 185367 210769 226982 234546 273637 285558 294686 299377 304386 322406 333151 340473 355117 370734 421538 442029 483609 547274 598754 632307 659503 666302 680946 710234 713899 794437 820911 884058 898131 967218 999453 1065351 1128421 1264614 1319006 1427798 1475383 1572661 1588874 1641822 1796262 1915459 1978509 1998906 2095639 2130702 2141697 2233813 2256842 2383311 2485819 2950766 3145322 3385263 3830918 3957018 4191278 4283394 4426149 4467626 4616521 4717983 4766622 4971638 4997293 5746377 6286917 6701439 6770526 7457457 8852298 9233042 9280687 9435966 9994586 10327681 11008627 11492754 12044167 12573834 13402878 13849563 14669473 14914914 14991879 15636691 18561374 20444593 20655362 22017254 24088334 27699126 27842061 29039569 29338946 29983758 30983043 31273382 32315647 33025881 34981051 36132501 40889186 44008419 46910073 55684122 58079138 61333779 61966086 64631294 64964809 66051762 69248203 69962102 72265002 77060389 84309169 87118707 88016838 93820146 96946941 104943153 109456837 122667558 129929618 138496406 143112151 154120778 156574171 168618338 174237414 193893882 194894427 203276983 207744609 209886306 218913674 231181167 252927507 286224302 313148342 328370511 373369177 389788854 406553966 415489218 429336453 454753663 462362334 469722513 484737421 505855014 590164183 609830949 656741022 746738354 858672906 900226639 909507326 939445026 969474842 1001785057 1096019197 1120107531 1168284199 1180328366 1219661898 1364260989 1422938881 1454212263 1770492549 1800453278 2003570114 2192038394 2240215062 2336568398 2613584239 2700679917 2728521978 2845877762 2908424526 3005355171 3288057591 3393161947 3504852597 3540985098 4268816643 4853799301 5227168478 5401359834 6010710342 6301586473 6576115182 6786323894 7009705194 7672134379 7840752717 8177989393 8537633286 9707598602 10179485841 12603172946 14561397903 15187694587 15344268758 15681505434 16355978786 18295089673 18904759419 20358971682 23016403137 24533968179 29122795806 30375389174 33976595107 36216810169 36590179346 37809518838 44111105311 45563083761 46032806274 49067936358 54885269019 57245925751 67953190214 72433620338 88222210622 91126167522 101929785321 106313862109 108650430507 109770538038 114491851502 132333315933 171737777253 203859570642 212627724218 217300861014 237836165749 253517671183 264666631866 318941586327 343475554506 470818532197 475672331498 507035342366 637883172654 713508497247 744197034763 760553013549 941637064394 1412455596591 1427016994494 1488394069526 1521106027098 1774623698281 2232591104289 2824911193182 3295729725379 3549247396562 4465182208578 5323871094843 6591459450758 9887189176137 10647742189686 19774378352274 23070108077653 46140216155306 69210324232959 138420648465918
• Sum of all divisors σ(n): 362397686353920
• Sum of proper divisors (its aliquot sum) s(n): 223977037888002
• 138420648465918 is an abundant number, because the sum of its proper divisors (223977037888002) is greater than itself. Its abundance is 85556389422084

Bases of 138420648465918

• Binary: 11111011110010010010001100101001101010111111110₂
• Hexadecimal: 0x7DE49194D5FE
• Base-36: 1D2DKG6J26

Squares and roots of 138420648465918

• 138420648465918 squared (138420648465918²) is 19160275921725247166807582724
• 138420648465918 cubed (138420648465918³) is 2652177817871123427688053401434340479600632
• The square root of 138420648465918 is 11765230.4892814573
• The cube root of 138420648465918 is 51728.9456345215

Scales and comparisons

• 138,420,648,465,918 seconds is equal to 4,401,348 years, 23 weeks, 5 days, 17 hours, 25 minutes, 18 seconds.
• To count from 1 to 138,420,648,465,918 would take you about eleven million, three thousand, three hundred seventy-one 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 138420648465918 cubic inches would be around 4310.7 feet tall.

Recreational maths with 138420648465918

• 138420648465918 backwards is 819564846024831
• The number of decimal digits it has is: 15
• The sum of 138420648465918's digits is 69
• More coming soon!