13388136522130944

Names of 13388136522130944

• Cardinal: 13388136522130944 can be written as Thirteen quadrillion, three hundred eighty-eight trillion, one hundred thirty-six billion, five hundred twenty-two million, one hundred thirty thousand, nine hundred forty-four.

Scientific notation

• Scientific notation: 1.3388136522130944 × 10¹⁶

Factors of 13388136522130944

• Number of distinct prime factors ω(n): 4
• Total number of prime factors Ω(n): 16
• Sum of prime factors: 140599

Divisors of 13388136522130944

• Number of divisors d(n): 360
• Complete list of divisors:
  1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 32 36 42 48 49 54 56 63 64 72 84 96 98 108 112 126 128 144 147 168 189 192 196 216 224 252 256 288 294 336 378 384 392 432 441 448 504 512 576 588 672 756 768 784 864 882 896 1008 1152 1176 1323 1344 1512 1536 1568 1728 1764 1792 2016 2304 2352 2646 2688 3024 3136 3456 3528 3584 4032 4608 4704 5292 5376 6048 6272 6912 7056 8064 9408 10584 10752 12096 12544 13824 14112 16128 18816 21168 24192 25088 28224 32256 37632 42336 48384 56448 75264 84672 96768 112896 140587 169344 225792 281174 338688 421761 562348 677376 843522 984109 1124696 1265283 1687044 1968218 2249392 2530566 2952327 3374088 3795849 3936436 4498784 5061132 5904654 6748176 6888763 7591698 7872872 8856981 8997568 10122264 11809308 13496352 13777526 15183396 15745744 17713962 17995136 20244528 20666289 23618616 26570943 26992704 27555052 30366792 31491488 35427924 35990272 40489056 41332578 47237232 53141886 53985408 55110104 60733584 61998867 62982976 70855848 71980544 80978112 82665156 94474464 106283772 107970816 110220208 121467168 123997734 125965952 141711696 161956224 165330312 185996601 188948928 212567544 215941632 220440416 242934336 247995468 251931904 283423392 323912448 330660624 371993202 377897856 425135088 440880832 485868672 495990936 503863808 566846784 647824896 661321248 743986404 755795712 850270176 881761664 971737344 991981872 1133693568 1322642496 1487972808 1511591424 1700540352 1763523328 1943474688 1983963744 2267387136 2645284992 2975945616 3401080704 3527046656 3967927488 4534774272 5290569984 5951891232 6802161408 7935854976 10581139968 11903782464 13604322816 15871709952 19764704569 23807564928 31743419904 39529409138 47615129856 59294113707 79058818276 95230259712 118588227414 138352931983 158117636552 177882341121 237176454828 276705863966 316235273104 355764682242 415058795949 474352909656 533647023363 553411727932 632470546208 711529364484 830117591898 948705819312 968470523881 1067294046726 1106823455864 1245176387847 1264941092416 1423058728968 1660235183796 1897411638624 1936941047762 2134588093452 2213646911728 2490352775694 2529882184832 2846117457936 2905411571643 3320470367592 3735529163541 3794823277248 3873882095524 4269176186904 4427293823456 4980705551388 5059764369664 5692234915872 5810823143286 6640940735184 7471058327082 7589646554496 7747764191048 8538352373808 8716234714929 8854587646912 9961411102776 10119528739328 11384469831744 11621646286572 13281881470368 14942116654164 15179293108992 15495528382096 17076704747616 17432469429858 17709175293824 19922822205552 22768939663488 23243292573144 26148704144787 26563762940736 29884233308328 30358586217984 30991056764192 34153409495232 34864938859716 35418350587648 39845644411104 45537879326976 46486585146288 52297408289574 53127525881472 59768466616656 61982113528384 68306818990464 69729877719432 70836701175296 79691288822208 91075758653952 92973170292576 104594816579148 106255051762944 119536933233312 123964227056768 136613637980928 139459755438864 159382577644416 185946340585152 209189633158296 212510103525888 239073866466624 247928454113536 273227275961856 278919510877728 318765155288832 371892681170304 418379266316592 478147732933248 495856908227072 557839021755456 637530310577664 743785362340608 836758532633184 956295465866496 1115678043510912 1487570724681216 1673517065266368 1912590931732992 2231356087021824 3347034130532736 4462712174043648 6694068261065472 13388136522130944
• Sum of all divisors σ(n): 46100315437993080
• Sum of proper divisors (its aliquot sum) s(n): 32712178915862136
• 13388136522130944 is an abundant number, because the sum of its proper divisors (32712178915862136) is greater than itself. Its abundance is 19324042393731192

Bases of 13388136522130944

• Binary: 101111100100000111000001110001100110110010011000000000₂
• Hexadecimal: 0x2F9070719B2600
• Base-36: 3NTP50DU2O0

Squares and roots of 13388136522130944

• 13388136522130944 squared (13388136522130944²) is 179242199535216448781490682331136
• 13388136522130944 cubed (13388136522130944³) is 2399719037904513453682557184389425495256160272384
• The square root of 13388136522130944 is 115707115.2614693095
• The cube root of 13388136522130944 is 237450.6580244613

Scales and comparisons

• 13,388,136,522,130,944 seconds is equal to 425,701,329 years, 9 weeks, 1 day, 23 hours, 2 minutes, 24 seconds.
• To count from 1 to 13,388,136,522,130,944 would take you about one billion, two hundred seventy-seven million, one hundred three thousand, nine hundred eighty-seven 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 13388136522130944 cubic inches would be around 19787.6 feet tall.

Recreational maths with 13388136522130944

• 13388136522130944 backwards is 44903122563188331
• 13388136522130944 is a Harshad number.
• The number of decimal digits it has is: 17
• The sum of 13388136522130944's digits is 63
• More coming soon!