105138044700198741

Names of 105138044700198741

• Cardinal: 105138044700198741 can be written as One hundred five quadrillion, one hundred thirty-eight trillion, forty-four billion, seven hundred million, one hundred ninety-eight thousand, seven hundred forty-one.

Scientific notation

• Scientific notation: 1.05138044700198741 × 10¹⁷

Factors of 105138044700198741

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 13
• Sum of prime factors: 3565

Divisors of 105138044700198741

• Number of divisors d(n): 432
• Complete list of divisors:
  1 3 7 9 11 17 21 33 49 51 63 77 99 119 121 147 153 187 231 343 357 363 441 539 561 693 833 847 1029 1071 1089 1309 1331 1617 1683 2057 2499 2541 3087 3527 3773 3927 3993 4851 5831 5929 6171 7497 7623 9163 9317 10581 11319 11781 11979 14399 14641 17493 17787 18513 22627 24689 27489 27951 31743 33957 38797 41503 43197 43923 52479 53361 59959 64141 65219 67881 74067 82467 83853 100793 102487 116391 124509 129591 131769 158389 161051 172823 179877 192423 195657 203643 222201 248897 271579 302379 307461 349173 373527 419713 426767 456533 475167 483153 518469 539631 577269 586971 659549 705551 717409 746691 814737 907137 922383 1108723 1127357 1209761 1259139 1280301 1369599 1425501 1449459 1555407 1742279 1901053 1978647 2116653 2152227 2240073 2444211 2737867 2937991 2987369 3326169 3382071 3629283 3777417 3840903 4108797 4616843 4694437 5021863 5226837 5703159 5935941 6349959 6456681 7255039 7761061 7891499 8213601 8813973 8962107 9978507 10146213 10887849 12195953 12439729 13307371 13850529 14083311 15065589 15680511 17109477 19165069 20565937 20911583 21765117 23283183 23674497 24640803 26441919 26886321 32317901 32861059 36587859 37319187 39922113 41551587 42249933 45196767 50785273 51638807 55240493 57495207 61697811 62734749 65295351 69849549 71023491 79805429 85371671 87078103 96953703 98583177 109763577 111957561 119766339 134155483 136837019 146381081 152355819 154916421 165721479 172485621 185093433 188204247 211475393 226225307 230027413 239416287 256115013 261234309 290861109 295749531 355496911 361471649 402466449 410511057 439143243 457067457 464749263 497164437 558638003 568026877 609546721 634426179 678675921 690082239 718248861 768345039 783702927 877859719 939088381 957859133 1066490733 1084414947 1207399347 1231533171 1317429729 1480327751 1505207209 1610191891 1675914009 1704080631 1828640163 1903278537 2036027763 2070246717 2326229323 2488478377 2530301543 2633579157 2817265143 2873577399 3199472199 3253244841 3910466021 3976188139 4266827047 4440983253 4515621627 4830575673 5027742027 5112241893 5485920489 6145018033 6705013931 6978687969 7465435131 7590904629 7900737471 8451795429 8620732197 9656456909 10362294257 10536450463 11731398063 11928564417 12800481141 13322949759 13546864881 14491727019 16283605261 16557279299 17712110801 18435054099 20115041793 20936063907 22396305393 22772713887 25588522553 27373262147 27833316973 28969370727 31086882771 31609351389 35194194189 35785693251 38401443423 43015126231 46935097517 48850815783 49671837897 53136332403 55305162297 60345125379 67595198363 72536059799 73755153241 76765567659 82119786441 83499950919 86908112181 93260648313 94828054167 113985236827 115900955093 129045378693 140805292551 146552447349 149015513691 159408997209 179119657871 182130072289 194833218811 202785595089 217608179397 221265459723 230296702977 246359359323 250499852757 281473748083 301105883617 341955710481 347702865279 387136136079 422415877653 473166388541 516286072687 537358973613 546390216867 584499656433 608356785267 652824538191 663796379169 797896657789 811306685651 844421244249 903317650851 1025867131443 1043108595837 1253837605097 1274910506023 1419499165623 1548858218061 1612076920839 1639170650601 1753498969299 1970316236581 2003430795179 2393689973367 2433920056953 2533263732747 2709952952553 3096211228913 3312164719787 3761512815291 3824731518069 4258497496869 4646574654183 5679146799557 5910948709743 6010292385537 7181069920101 7301760170859 8776863235679 8924373542161 9288633686739 9936494159361 11284538445873 11474194554207 13792213656067 14024015566253 17037440398671 17732846129229 18030877156611 21673478602391 26330589707037 26773120626483 27865901060217 29809482478083 34058323518043 41376640968201 42072046698759 51112321196013 62470614795127 65020435807173 78991769121111 80319361879449 96545495592469 98168108963771 102174970554129 124129922904603 126216140096277 151714350216737 187411844385381 195061307421519 238408264626301 289636486777407 294504326891313 306524911662387 455143050650211 562235533156143 687176762746397 715224793878903 868909460332221 883512980673939 1062000451517159 1365429151950633 1668857852384107 2061530288239191 2145674381636709 3186001354551477 5006573557152321 6184590864717573 9558004063654431 11682004966688749 15019720671456963 35046014900066247 105138044700198741
• Sum of all divisors σ(n): 206331618831811200
• Sum of proper divisors (its aliquot sum) s(n): 101193574131612459
• 105138044700198741 is a deficient number, because the sum of its proper divisors (101193574131612459) is less than itself. Its deficiency is 3944470568586282

Bases of 105138044700198741

• Binary: 101110101100001100111111010011110101111000000011101010101₂
• Hexadecimal: 0x175867E9EBC0755
• Base-36: SR8BQY6MM39

Squares and roots of 105138044700198741

• 105138044700198741 squared (105138044700198741²) is 11054008443380988570283484897985081
• 105138044700198741 cubed (105138044700198741³) is 1162196833836564680124700107925577096183231152983021
• The square root of 105138044700198741 is 324249972.5523484773
• The cube root of 105138044700198741 is 471976.0543669915

Scales and comparisons

• 105,138,044,700,198,741 seconds is equal to 3,343,064,608 years, 7 weeks, 2 days, 9 hours, 52 minutes, 21 seconds.
• To count from 1 to 105,138,044,700,198,741 would take you about ten billion, twenty-nine million, one hundred ninety-three thousand, eight hundred twenty-four 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 105138044700198741 cubic inches would be around 39331.3 feet tall.

Recreational maths with 105138044700198741

• 105138044700198741 backwards is 147891007440831501
• 105138044700198741 is a Harshad number.
• The number of decimal digits it has is: 18
• The sum of 105138044700198741's digits is 63
• More coming soon!