34076411146331136

Names of 34076411146331136

• Cardinal: 34076411146331136 can be written as Thirty-four quadrillion, seventy-six trillion, four hundred eleven billion, one hundred forty-six million, three hundred thirty-one thousand, one hundred thirty-six.

Scientific notation

• Scientific notation: 3.4076411146331136 × 10¹⁶

Factors of 34076411146331136

• Number of distinct prime factors ω(n): 6
• Total number of prime factors Ω(n): 17
• Sum of prime factors: 72783

Divisors of 34076411146331136

• Number of divisors d(n): 704
• Complete list of divisors:
  1 2 3 4 6 8 9 11 12 16 18 22 24 27 32 33 36 44 48 54 64 66 72 88 96 99 108 128 132 144 176 192 198 216 256 264 288 297 352 384 396 432 512 528 576 594 704 727 768 792 864 1024 1056 1152 1188 1408 1454 1536 1584 1728 2112 2181 2207 2304 2376 2816 2908 3072 3168 3456 4224 4362 4414 4608 4752 5632 5816 6336 6543 6621 6912 7997 8448 8724 8828 9216 9504 11264 11632 12672 13086 13242 13824 15994 16896 17448 17656 19008 19629 19863 23264 23991 24277 25344 26172 26484 27648 31988 33792 34896 35312 38016 39258 39726 46528 47982 48554 50688 52344 52968 59589 63976 69792 69833 70624 71973 72831 76032 78516 79452 93056 95964 97108 101376 104688 105936 119178 127952 139584 139666 141248 143946 145662 152064 157032 158904 186112 191928 194216 209376 209499 211872 215919 218493 238356 255904 279168 279332 282496 287892 291324 304128 314064 317808 372224 383856 388432 418752 418998 423744 431838 436986 476712 511808 558336 558664 564992 575784 582648 628128 628497 635616 655479 744448 767712 768163 776864 837504 837996 847488 863676 873972 953424 1023616 1116672 1117328 1129984 1151568 1165296 1256256 1256994 1271232 1310958 1535424 1536326 1553728 1604489 1675008 1675992 1694976 1727352 1747944 1885491 1906848 2047232 2233344 2234656 2259968 2303136 2304489 2330592 2512512 2513988 2542464 2621916 3070848 3072652 3107456 3208978 3350016 3351984 3389952 3454704 3495888 3770982 3813696 4094464 4469312 4606272 4608978 4661184 4813467 5025024 5027976 5084928 5243832 6141696 6145304 6214912 6417956 6700032 6703968 6779904 6909408 6913467 6991776 7541964 7627392 8188928 8938624 9212544 9217956 9322368 9626934 10050048 10055952 10169856 10487664 12283392 12290608 12429824 12835912 13407936 13818816 13826934 13983552 14440401 15083928 15254784 17649379 17877248 18425088 18435912 18644736 19253868 20100096 20111904 20339712 20740401 20975328 24566784 24581216 24859648 25671824 26815872 27637632 27653868 27967104 28880802 30167856 30509568 35298758 35754496 36850176 36871824 37289472 38507736 40223808 41480802 41950656 43321203 49162432 50768591 51343648 52948137 53631744 55275264 55307736 55934208 57761604 60335712 61019136 70597516 71508992 73700352 73743648 74578944 77015472 80447616 82961604 83901312 86642406 98324864 101537182 102687296 105896274 107263488 110550528 110615472 111868416 115523208 120671424 141195032 147487296 152305773 154030944 154121431 158844411 160895232 165923208 167802624 173284812 196649728 203074364 205374592 211792548 214526976 221101056 221230944 223736832 231046416 241342848 282390064 294974592 304611546 308061888 308242862 317688822 321790464 331846416 335605248 346569624 393299456 406148728 410749184 423585096 442461888 456917319 462092832 462364293 476533233 482685696 558454501 564780128 589949184 609223092 616123776 616485724 635377644 643580928 663692832 671210496 693139248 786598912 812297456 821498368 847170192 884923776 913834638 924185664 924728586 953066466 965371392 1116909002 1129560256 1179898368 1218446184 1232247552 1232971448 1270755288 1327385664 1370751957 1386278496 1387092879 1624594912 1642996736 1675363503 1694340384 1695335741 1769847552 1827669276 1848371328 1849457172 1906132932 1930742784 2233818004 2259120512 2359796736 2436892368 2464495104 2465942896 2541510576 2654771328 2741503914 2772556992 2774185758 3249189824 3350727006 3388680768 3390671482 3539695104 3655338552 3696742656 3698914344 3812265864 4161278637 4467636008 4518241024 4873784736 4928990208 4931885792 5026090509 5083021152 5086007223 5309542656 5483007828 5545113984 5548371516 6498379648 6701454012 6777361536 6781342964 7079390208 7310677104 7393485312 7397828688 7624531728 8322557274 8935272016 9036482048 9747569472 9863771584 10052181018 10166042304 10172014446 10619085312 10966015656 11090227968 11096743032 12996759296 13402908024 13554723072 13562685928 14621354208 14786970624 14795657376 15078271527 15249063456 15258021669 16645114548 17870544032 18072964096 19495138944 19727543168 20104362036 20332084608 20344028892 21238170624 21932031312 22180455936 22193486064 25993518592 26805816048 27109446144 27125371856 29242708416 29591314752 30156543054 30498126912 30516043338 33290229096 35741088064 38990277888 39455086336 40208724072 40664169216 40688057784 43864062624 44360911872 44386972128 45774065007 51987037184 53611632096 54218892288 54250743712 58485416832 59182629504 60313086108 60996253824 61032086676 66580458192 71482176128 77980555776 78910172672 80417448144 81328338432 81376115568 87728125248 88773944256 91548130014 107223264192 108501487424 112046280337 116970833664 118365259008 120626172216 121992507648 122064173352 133160916384 142964352256 155961111552 157820345344 160834896288 162656676864 162752231136 175456250496 177547888512 183096260028 214446528384 217002974848 224092560674 233941667328 236730518016 241252344432 243985015296 244128346704 266321832768 285928704512 321669792576 325504462272 336138841011 350912500992 355095777024 366192520056 428893056768 434005949696 448185121348 467883334656 473461036032 482504688864 487970030592 488256693408 532643665536 571857409024 643339585152 651008924544 672277682022 701825001984 710191554048 732385040112 857786113536 868011899392 896370242696 965009377728 976513386816 1008416523033 1065287331072 1232509083707 1286679170304 1302017849088 1344555364044 1403650003968 1420383108096 1464770080224 1715572227072 1736023798784 1792740485392 1930018755456 1953026773632 2016833046066 2130574662144 2465018167414 2573358340608 2604035698176 2689110728088 2929540160448 3025249569099 3585480970784 3697527251121 3860037510912 3906053547264 4033666092132 4261149324288 4930036334828 5146716681216 5208071396352 5378221456176 5859080320896 6050499138198 7170961941568 7395054502242 7720075021824 7812107094528 8067332184264 9860072669656 10756442912352 11092581753363 11718160641792 12100998276396 14341923883136 14790109004484 15440150043648 15624214189056 16134664368528 19720145339312 21512885824704 22185163506726 23436321283584 24201996552792 28683847766272 29580218008968 32269328737056 33277745260089 39440290678624 43025771649408 44370327013452 46872642567168 48403993105584 57367695532544 59160436017936 64538657474112 66555490520178 78880581357248 86051543298816 88740654026904 96807986211168 114735391065088 118320872035872 129077314948224 133110981040356 157761162714496 172103086597632 177481308053808 193615972422336 236641744071744 258154629896448 266221962080712 315522325428992 344206173195264 354962616107616 387231944844672 473283488143488 516309259792896 532443924161424 631044650857984 709925232215232 774463889689344 946566976286976 1032618519585792 1064887848322848 1262089301715968 1419850464430464 1548927779378688 1893133952573952 2129775696645696 2839700928860928 3097855558757376 3786267905147904 4259551393291392 5679401857721856 8519102786582784 11358803715443712 17038205573165568 34076411146331136
• Sum of all divisors σ(n): 110295157953576960
• Sum of proper divisors (its aliquot sum) s(n): 76218746807245824
• 34076411146331136 is an abundant number, because the sum of its proper divisors (76218746807245824) is greater than itself. Its abundance is 42142335660914688

Bases of 34076411146331136

• Binary: 1111001000100000101000010111101100110001110010000000000₂
• Hexadecimal: 0x791050BD98E400
• Base-36: 9BJ2V61NUO0

Squares and roots of 34076411146331136

• 34076411146331136 squared (34076411146331136²) is 1161201796613800886278593363050496
• 34076411146331136 cubed (34076411146331136³) is 39569589845270265296732044908134294747095505043456
• The square root of 34076411146331136 is 184597971.6744773337
• The cube root of 34076411146331136 is 324203.6872271489

Scales and comparisons

• 34,076,411,146,331,136 seconds is equal to 1,083,524,469 years, 10 weeks, 5 hours, 45 minutes, 36 seconds.
• To count from 1 to 34,076,411,146,331,136 would take you about three billion, two hundred fifty million, five hundred seventy-three thousand, four hundred 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 34076411146331136 cubic inches would be around 27017 feet tall.

Recreational maths with 34076411146331136

• 34076411146331136 backwards is 63113364111467043
• 34076411146331136 is a Harshad number.
• The number of decimal digits it has is: 17
• The sum of 34076411146331136's digits is 54
• More coming soon!