34768363138938

Names of 34768363138938

• Cardinal: 34768363138938 can be written as Thirty-four trillion, seven hundred sixty-eight billion, three hundred sixty-three million, one hundred thirty-eight thousand, nine hundred thirty-eight.

Scientific notation

• Scientific notation: 3.4768363138938 × 10¹³

Factors of 34768363138938

• Number of distinct prime factors ω(n): 7
• Total number of prime factors Ω(n): 11
• Sum of prime factors: 3742

Divisors of 34768363138938

• Number of divisors d(n): 480
• Complete list of divisors:
  1 2 3 6 9 11 13 18 22 26 27 33 39 54 66 71 78 81 99 117 142 143 162 169 198 213 234 286 297 338 351 426 429 507 521 594 639 702 781 858 891 923 1014 1042 1053 1278 1287 1521 1562 1563 1782 1846 1859 1917 2106 2343 2574 2769 3042 3121 3126 3718 3834 3861 4563 4686 4689 5538 5577 5731 5751 6242 6773 7029 7722 8307 9126 9363 9378 10153 11154 11462 11502 11583 11999 13546 13689 14058 14067 16614 16731 17193 18726 20306 20319 21087 23166 23998 24921 27378 28089 28134 30459 33462 34331 34386 35997 36991 40573 40638 42174 42201 49842 50193 51579 56178 60918 60957 63261 68662 71994 73982 74503 74763 81146 84267 84402 88049 91377 100386 102993 103158 107991 110973 121719 121914 126522 131989 149006 149526 150579 154737 168534 176098 182754 182871 205986 215982 221591 221946 223509 243438 252801 263978 264147 274131 301158 308979 309474 323973 332919 365157 365742 395967 406901 443182 446303 447018 464211 480883 505602 527449 528294 548262 548613 617958 647946 664773 665838 670527 730314 791934 792441 813802 822393 892606 926937 928422 961766 968539 971919 998757 1054898 1095471 1097226 1187901 1220703 1329546 1338909 1341054 1442649 1582347 1584882 1626041 1644786 1853874 1937078 1943838 1994319 1997514 2011581 2190942 2375802 2377323 2437501 2441406 2677818 2780811 2880683 2885298 2905617 2996271 3164694 3252082 3286413 3563703 3662109 3988638 4016727 4023162 4327947 4747041 4754646 4875002 4878123 5289713 5561622 5761366 5801939 5811234 5982957 5992542 6034743 6251479 6572826 7127406 7131969 7312503 7324218 8033454 8642049 8655894 8716851 9494082 9756246 10579426 10691109 10986327 11603878 11965914 12050181 12069486 12502958 12983841 14241123 14263938 14625006 14634369 15869139 17284098 17405817 17433702 17886451 17948871 18754437 21138533 21382218 21937509 21972654 24100362 25926147 25967682 26150553 28482246 29268738 31687513 31738278 32958981 34811634 35772902 35897742 36150543 37448879 37508874 38951523 42277066 42723369 43875018 43903107 47607417 51852294 52217451 52301106 53659353 56263311 63375026 63415599 65812527 65917962 68766269 72301086 74897758 77778441 77903046 78451659 85446738 87806214 95062539 95214834 104434902 107318706 112346637 112526622 115448911 126831198 131625054 131709321 137532538 142822251 155556882 156652353 156903318 160978059 168789933 190125078 190246797 197437581 206298807 224693274 230897822 232523863 233335323 263418642 274800929 285187617 285644502 313304706 321956118 337039911 337579866 346346733 380493594 394875162 411937669 412597614 428466753 465047726 466670646 469957059 482934177 506369799 549601858 570375234 570740391 618896421 674079822 692693466 697571589 823875338 824402787 855562851 856933506 939914118 965868354 1011119733 1012739598 1039040199 1141480782 1235813007 1237792842 1269938021 1395143178 1448802531 1500835843 1648805574 1711125702 1712221173 1856689263 2022239466 2078080398 2092714767 2471626014 2473208361 2539876042 2566688553 2897605062 3001671686 3022810219 3033359199 3117120597 3424442346 3707439021 3713378526 3809814063 4185429534 4502507529 4946416722 5133377106 5570067789 6045620438 6066718398 6234241194 6278144301 7414878042 7419625083 7619628126 9005015058 9068430657 9351361791 11122317063 11140135578 11429442189 12556288602 13507522587 14839250166 16509194273 18136861314 18702723582 18834432903 19510865959 22244634126 22258875249 22858884378 27015045174 27205291971 33018388546 33366951189 34288326567 37668865806 39021731918 40522567761 44517750498 49527582819 54410583942 58532597877 66733902378 68576653134 81045135522 81615875913 99055165638 102864979701 117065195754 121567703283 148582748457 163231751826 175597793631 205729959402 214619525549 243135406566 244847627739 297165496914 351195587262 429239051098 445748245371 489695255478 526793380893 643858576647 891496490742 1053586761786 1287717153294 1337244736113 1580380142679 1931575729941 2674489472226 3160760285358 3863151459882 5794727189823 11589454379646 17384181569469 34768363138938
• Sum of all divisors σ(n): 93535152568704
• Sum of proper divisors (its aliquot sum) s(n): 58766789429766
• 34768363138938 is an abundant number, because the sum of its proper divisors (58766789429766) is greater than itself. Its abundance is 23998426290828

Bases of 34768363138938

• Binary: 111111001111100100011111011110010111101111010₂
• Hexadecimal: 0x1F9F23EF2F7A
• Base-36: CBOD5PXMI

Squares and roots of 34768363138938

• 34768363138938 squared (34768363138938²) is 1208839075361062656291767844
• 34768363138938 cubed (34768363138938³) is 42029355948691465952211741651785012709672
• The square root of 34768363138938 is 5896470.3966812215
• The cube root of 34768363138938 is 32638.3414599617

Scales and comparisons

• 34,768,363,138,938 seconds is equal to 1,105,526 years, 20 weeks, 6 days, 9 hours, 42 minutes, 18 seconds.
• To count from 1 to 34,768,363,138,938 would take you about two million, seven hundred sixty-three 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 34768363138938 cubic inches would be around 2719.9 feet tall.

Recreational maths with 34768363138938

• 34768363138938 backwards is 83983136386743
• The number of decimal digits it has is: 14
• The sum of 34768363138938's digits is 72
• More coming soon!