34142315065790777664
34,142,315,065,790,777,664 is an even composite number composed of six prime numbers multiplied together.
What does the number 34142315065790777664 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 336 divisors.
34142315065790777664 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of three hundred thirty-six divisors.
Prime factorization of 34142315065790777664:
26 × 3 × 72 × 13 × 6067 × 46012762673
(2 × 2 × 2 × 2 × 2 × 2 × 3 × 7 × 7 × 13 × 6067 × 46012762673)See below for interesting mathematical facts about the number 34142315065790777664 from the Numbermatics database.
Names of 34142315065790777664
- Cardinal: 34142315065790777664 can be written as Thirty-four quintillion, one hundred forty-two quadrillion, three hundred fifteen trillion, sixty-five billion, seven hundred ninety million, seven hundred seventy-seven thousand, six hundred sixty-four.
Scientific notation
- Scientific notation: 3.4142315065790777664 × 1019
Factors of 34142315065790777664
- Number of distinct prime factors ω(n): 6
- Total number of prime factors Ω(n): 12
- Sum of prime factors: 46012768765
Divisors of 34142315065790777664
- Number of divisors d(n): 336
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Complete list of divisors:
1 2 3 4 6 7 8 12 13 14 16 21 24 26 28 32 39 42 48 49 52 56 64 78 84 91 96 98 104 112 147 156 168 182 192 196 208 224 273 294 312 336 364 392 416 448 546 588 624 637 672 728 784 832 1092 1176 1248 1274 1344 1456 1568 1911 2184 2352 2496 2548 2912 3136 3822 4368 4704 5096 5824 6067 7644 8736 9408 10192 12134 15288 17472 18201 20384 24268 30576 36402 40768 42469 48536 61152 72804 78871 84938 97072 122304 127407 145608 157742 169876 194144 236613 254814 291216 297283 315484 339752 388288 473226 509628 552097 582432 594566 630968 679504 891849 946452 1019256 1104194 1164864 1189132 1261936 1359008 1656291 1783698 1892904 2038512 2208388 2378264 2523872 2718016 3312582 3567396 3785808 3864679 4077024 4416776 4756528 5047744 6625164 7134792 7571616 7729358 8154048 8833552 9513056 11594037 13250328 14269584 15143232 15458716 17667104 19026112 23188074 26500656 28539168 30917432 35334208 46376148 53001312 57078336 61834864 92752296 106002624 123669728 185504592 247339456 371009184 742018368 46012762673 92025525346 138038288019 184051050692 276076576038 322089338711 368102101384 552153152076 598165914749 644178677422 736204202768 966268016133 1104306304152 1196331829498 1288357354844 1472408405536 1794497744247 1932536032266 2208612608304 2254625370977 2392663658996 2576714709688 2944816811072 3588995488494 3865072064532 4187161403243 4417225216608 4509250741954 4785327317992 5153429419376 6763876112931 7177990976988 7730144129064 8374322806486 8834450433216 9018501483908 9570654635984 10306858838752 12561484209729 13527752225862 14355981953976 15460288258128 16748645612972 18037002967816 19141309271968 20613717677504 25122968419458 27055504451724 28711963907952 29310129822701 30920576516256 33497291225944 36074005935632 38282618543936 50245936838916 54111008903448 57423927815904 58620259645402 61841153032512 66994582451888 72148011871264 87930389468103 100491873677832 108222017806896 114847855631808 117240519290804 133989164903776 144296023742528 175860778936206 200983747355664 216444035613792 234481038581608 267978329807552 279159431137091 351721557872412 401967494711328 432888071227584 468962077163216 558318862274182 703443115744824 803934989422656 837478293411273 937924154326432 1116637724548364 1406886231489648 1674956586822546 1875848308652864 1954116017959637 2233275449096728 2813772462979296 3349913173645092 3629072604782183 3908232035919274 4466550898193456 5627544925958592 5862348053878911 6699826347290184 7258145209564366 7816464071838548 8933101796386912 10887217814346549 11724696107757822 13399652694580368 13678812125717459 14516290419128732 15632928143677096 17866203592773824 21774435628693098 23449392215515644 25403508233475281 26799305389160736 27357624251434918 29032580838257464 31265856287354192 41036436377152377 43548871257386196 46898784431031288 50807016466950562 53598610778321472 54715248502869836 58065161676514928 62531712574708384 76210524700425843 82072872754304754 87097742514772392 93797568862062576 101614032933901124 109430497005739672 116130323353029856 125063425149416768 152421049400851686 164145745508609508 174195485029544784 177824557634326967 187595137724125152 203228065867802248 218860994011479344 232260646706059712 304842098801703372 328291491017219016 348390970059089568 355649115268653934 375190275448250304 406456131735604496 437721988022958688 533473672902980901 609684197603406744 656582982034438032 696781940118179136 711298230537307868 812912263471208992 875443976045917376 1066947345805961802 1219368395206813488 1313165964068876064 1422596461074615736 1625824526942417984 2133894691611923604 2438736790413626976 2626331928137752128 2845192922149231472 4267789383223847208 4877473580827253952 5690385844298462944 8535578766447694416 11380771688596925888 17071157532895388832 34142315065790777664
- Sum of all divisors σ(n): 113185419672321799488
- Sum of proper divisors (its aliquot sum) s(n): 79043104606531021824
- 34142315065790777664 is an abundant number, because the sum of its proper divisors (79043104606531021824) is greater than itself. Its abundance is 44900789540740244160
Bases of 34142315065790777664
- Binary: 111011001110100011101111010101000100110011110110101001001010000002
- Hexadecimal: 0x1D9D1DEA899ED4940
- Base-36: 77EAWLEL41OAO
Squares and roots of 34142315065790777664
- 34142315065790777664 squared (341423150657907776642) is 1165697678051723914526930745633881296896
- 34142315065790777664 cubed (341423150657907776643) is 39799617395502700942953566253169890337556177389452709330944
-
The
square root of 34142315065790777664 is 5843142567.6420712903 -
The
cube root of 34142315065790777664 is 3244125.5638900353
Scales and comparisons
How big is 34142315065790777664?- 34,142,315,065,790,777,664 seconds is equal to 293,274,701,009 years, 3 weeks, 3 days, 15 hours, 30 minutes, 7 seconds.
-
To count from 1 to 34,142,315,065,790,777,664 would take you about two hundred ninety-three billion, two hundred seventy-four million, seven hundred one thousand and nine 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 34142315065790777664 cubic inches would be around 270343.8 feet tall.
Recreational maths with 34142315065790777664
- 34142315065790777664 backwards is 46677709756051324143
- The number of decimal digits it has is: 20
- The sum of 34142315065790777664's digits is 87
- More coming soon!
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The information we have on file for 34142315065790777664 includes mathematical data and numerical statistics calculated using standard algorithms and methods. We are adding more all the time. If there are any features you would like to see, please contact us. Information provided for educational use, intellectual curiosity and fun!
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