101013687838138257

Names of 101013687838138257

• Cardinal: 101013687838138257 can be written as One hundred one quadrillion, thirteen trillion, six hundred eighty-seven billion, eight hundred thirty-eight million, one hundred thirty-eight thousand, two hundred fifty-seven.

Scientific notation

• Scientific notation: 1.01013687838138257 × 10¹⁷

Factors of 101013687838138257

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 12
• Sum of prime factors: 703

Divisors of 101013687838138257

• Number of divisors d(n): 432
• Complete list of divisors:
  1 3 7 9 13 19 21 39 49 57 63 91 117 133 147 169 171 247 273 361 399 441 507 637 661 741 819 931 1083 1183 1197 1521 1729 1911 1983 2197 2223 2527 2793 3211 3249 3549 4627 4693 5187 5733 5949 6591 7581 8281 8379 8593 9633 10647 12103 12559 13881 14079 15379 15561 17689 19773 22477 22743 24843 25779 28899 32389 32851 36309 37677 41643 41743 42237 46137 53067 60151 61009 67431 74529 77337 87913 97167 98553 107653 108927 111709 113031 125229 138411 157339 159201 163267 180453 183027 202293 229957 238621 263739 291501 292201 295659 322959 335127 375687 421057 427063 436921 472017 489801 541359 549081 615391 689871 715863 781963 791217 793117 876603 968877 1005381 1142869 1263171 1281189 1310763 1416051 1452217 1469403 1670347 1846173 2045407 2069613 2122471 2147589 2345889 2379351 2629809 2989441 3058447 3102073 3428607 3789513 3843567 3932289 4356651 5011041 5473741 5538519 5551819 5679973 6136221 6367413 7037667 7138053 8000083 8301499 8968323 9175341 9306219 10165519 10285821 11692429 13069953 14857297 15033123 16421223 16655457 17039919 18408663 19102239 21409129 21714511 24000249 24904497 26904969 27526023 27592123 27918657 30496557 35077287 38862733 39759811 40326949 44571891 49263669 49966371 51119757 58110493 64227387 65143533 71158633 72000747 73839649 74713491 82776369 91489671 104001079 105231861 107919487 116588199 119279433 120980847 133715673 152001577 157728481 174331479 192682161 193144861 195430599 213475899 221518947 248329107 278318677 282288643 288804781 312003237 323758461 349764597 357838299 362942541 406773451 456004731 473185443 516877543 522994437 524250337 579434583 640427697 664556841 755436409 834956031 846865929 866414343 936009711 959915437 971275383 1104099367 1220320353 1352014027 1368014193 1402953331 1419556329 1550632629 1572751011 1738303749 1976020501 2021633467 2050470253 2266309227 2504868093 2540597787 2599243029 2879746311 3312298101 3618142801 3660961059 3669752359 3754462153 4056042081 4208859993 4651897887 4718253033 5288054863 5487290839 5928061503 6064900401 6151410759 6719408059 6798927681 7728695569 8639238933 9820673317 9936894303 10854428403 11009257077 11263386459 12168126243 12626579979 14151434269 14353291771 15864164589 16461872517 17784184509 18194701203 18238393303 18454232277 20158224177 23186086707 25688266513 26281235071 26656113289 29462019951 32563285209 33027771231 33790159377 38411035873 42454302807 43059875313 47035856413 47592493767 48808007989 49385617551 54715179909 60474672531 68744713219 69558260121 71334780907 77064799539 78843705213 79968339867 88386059853 100473042397 104258525941 115233107619 127362908421 127668753121 129179625939 141107569239 146424023967 164145539727 183968645497 186592793023 206234139657 214004342721 231194398617 236531115639 239905019601 268877251111 301419127191 312775577823 341656055923 345699322857 346529472757 383006259363 423322707717 439272071901 499343466349 551905936491 559778379069 618702418971 634504103857 642013028163 729809681587 806631753333 893681271847 904257381573 927352151791 938326733469 1024968167769 1039588418271 1149018778089 1306149551161 1355360837233 1498030399047 1655717809473 1679335137207 1903512311571 2189429044761 2391592391461 2419895259999 2425706309299 2681043815541 2782056455373 3074904503307 3118765254813 3495404264443 3918448653483 4066082511699 4441528726999 4494091197141 5108667771109 5710536934713 6491465062537 6568287134283 7174777174383 7277118927897 8043131446623 8346169366119 9487525860631 10486212793329 11755345960449 12055577973283 12198247535097 13324586180997 15326003313327 16979944165093 17619690884029 19474395187611 21524331523149 21831356783691 28462577581893 31090701088993 31458638379987 36166733919849 39973758542991 45440255437759 45978009939981 50939832495279 52859072652087 58423185562833 66412681024417 84389045812981 85387732745679 93272103266979 108500201759547 123337836188203 136320766313277 152819497485837 158577217956261 199238043073251 229055981492377 253167137438943 279816309800937 370013508564609 408962298939831 590723320690867 597714129219753 687167944477131 759501412316829 863364853317421 1110040525693827 1603391870446639 1772169962072601 2061503833431393 2590094559952263 4810175611339917 5316509886217803 7770283679856789 11223743093126473 14430526834019751 33671229279379419 101013687838138257
• Sum of all divisors σ(n): 194348880403488720
• Sum of proper divisors (its aliquot sum) s(n): 93335192565350463
• 101013687838138257 is a deficient number, because the sum of its proper divisors (93335192565350463) is less than itself. Its deficiency is 7678495272787794

Bases of 101013687838138257

• Binary: 101100110110111110110100111110101000010110101111110010001₂
• Hexadecimal: 0x166DF69F50B5F91
• Base-36: RMMD3KAP1U9

Squares and roots of 101013687838138257

• 101013687838138257 squared (101013687838138257²) is 10203765130660840813122855846998049
• 101013687838138257 cubed (101013687838138257³) is 1030719945682254198503072030340033937761866471260593
• The square root of 101013687838138257 is 317826505.8772446955
• The cube root of 101013687838138257 is 465721.9875833387

Scales and comparisons

• 101,013,687,838,138,257 seconds is equal to 3,211,922,817 years, 20 weeks, 6 days, 10 minutes, 57 seconds.
• To count from 1 to 101,013,687,838,138,257 would take you about nine billion, six hundred thirty-five million, seven hundred sixty-eight thousand, four hundred fifty-two 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 101013687838138257 cubic inches would be around 38810.2 feet tall.

Recreational maths with 101013687838138257

• 101013687838138257 backwards is 752831838786310101
• The number of decimal digits it has is: 18
• The sum of 101013687838138257's digits is 72
• More coming soon!