34138693361664
34,138,693,361,664 is an even composite number composed of four prime numbers multiplied together.
What does the number 34138693361664 look like?
This visualization shows the relationship between its 4 prime factors (large circles) and 504 divisors.
34138693361664 is an even composite number. It is composed of four distinct prime numbers multiplied together. It has a total of five hundred four divisors.
Prime factorization of 34138693361664:
213 × 35 × 29 × 7692
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 29 × 769 × 769)See below for interesting mathematical facts about the number 34138693361664 from the Numbermatics database.
Names of 34138693361664
- Cardinal: 34138693361664 can be written as Thirty-four trillion, one hundred thirty-eight billion, six hundred ninety-three million, three hundred sixty-one thousand, six hundred sixty-four.
Scientific notation
- Scientific notation: 3.4138693361664 × 1013
Factors of 34138693361664
Divisors of 34138693361664
- Number of divisors d(n): 504
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Complete list of divisors:
1 2 3 4 6 8 9 12 16 18 24 27 29 32 36 48 54 58 64 72 81 87 96 108 116 128 144 162 174 192 216 232 243 256 261 288 324 348 384 432 464 486 512 522 576 648 696 768 769 783 864 928 972 1024 1044 1152 1296 1392 1536 1538 1566 1728 1856 1944 2048 2088 2304 2307 2349 2592 2784 3072 3076 3132 3456 3712 3888 4096 4176 4608 4614 4698 5184 5568 6144 6152 6264 6912 6921 7047 7424 7776 8192 8352 9216 9228 9396 10368 11136 12288 12304 12528 13824 13842 14094 14848 15552 16704 18432 18456 18792 20736 20763 22272 22301 24576 24608 25056 27648 27684 28188 29696 31104 33408 36864 36912 37584 41472 41526 44544 44602 49216 50112 55296 55368 56376 59392 62208 62289 66816 66903 73728 73824 75168 82944 83052 89088 89204 98432 100224 110592 110736 112752 118784 124416 124578 133632 133806 147648 150336 165888 166104 178176 178408 186867 196864 200448 200709 221184 221472 225504 237568 248832 249156 267264 267612 295296 300672 331776 332208 356352 356816 373734 393728 400896 401418 442944 451008 497664 498312 534528 535224 590592 591361 601344 602127 663552 664416 712704 713632 747468 787456 801792 802836 885888 902016 995328 996624 1069056 1070448 1181184 1182722 1202688 1204254 1328832 1427264 1494936 1574912 1603584 1605672 1771776 1774083 1804032 1806381 1990656 1993248 2138112 2140896 2362368 2365444 2405376 2408508 2657664 2854528 2989872 3149824 3207168 3211344 3543552 3548166 3608064 3612762 3986496 4281792 4724736 4730888 4810752 4817016 5315328 5322249 5419143 5709056 5979744 6299648 6414336 6422688 7087104 7096332 7216128 7225524 7972992 8563584 9449472 9461776 9621504 9634032 10630656 10644498 10838286 11418112 11959488 12845376 14174208 14192664 14432256 14451048 15945984 15966747 17127168 17149469 18898944 18923552 19243008 19268064 21261312 21288996 21676572 22836224 23918976 25690752 28348416 28385328 28864512 28902096 31891968 31933494 34254336 34298938 37847104 38536128 42522624 42577992 43353144 45672448 47837952 47900241 51381504 51448407 56696832 56770656 57729024 57804192 63783936 63866988 68508672 68597876 75694208 77072256 85045248 85155984 86706288 91344896 95675904 95800482 102763008 102896814 113541312 115608384 127567872 127733976 137017344 137195752 143700723 151388416 154144512 154345221 170090496 170311968 173412576 182689792 191351808 191600964 205526016 205793628 227082624 231216768 255135744 255467952 274034688 274391504 287401446 302776832 308289024 308690442 340623936 346825152 382703616 383201928 411052032 411587256 454165248 462433536 463035663 510271488 510935904 548069376 548783008 574802892 605553664 616578048 617380884 681247872 693650304 765407232 766403856 822104064 823174512 908330496 924867072 926071326 1021871808 1097566016 1149605784 1211107328 1233156096 1234761768 1362495744 1387300608 1389106989 1530814464 1532807712 1644208128 1646349024 1816660992 1849734144 1852142652 2043743616 2195132032 2299211568 2422214656 2466312192 2469523536 2724991488 2774601216 2778213978 3065615424 3292698048 3633321984 3699468288 3704285304 4087487232 4167320967 4390264064 4598423136 4844429312 4932624384 4939047072 5449982976 5549202432 5556427956 6131230848 6585396096 7266643968 7398936576 7408570608 8174974464 8334641934 8780528128 9196846272 9878094144 10899965952 11098404864 11112855912 12262461696 13170792192 14533287936 14797873152 14817141216 16349948928 16669283868 17561056256 18393692544 19756188288 21799931904 22196809728 22225711824 24524923392 26341584384 29634282432 32699897856 33338567736 35122112512 36787385088 39512376576 43599863808 44393619456 44451423648 49049846784 52683168768 59268564864 65399795712 66677135472 70244225024 73574770176 79024753152 88902847296 98099693568 105366337536 118537129728 130799591424 133354270944 140488450048 147149540352 158049506304 177805694592 196199387136 210732675072 237074259456 266708541888 294299080704 316099012608 355611389184 392398774272 421465350144 474148518912 533417083776 588598161408 632198025216 711222778368 948297037824 1066834167552 1177196322816 1264396050432 1422445556736 1896594075648 2133668335104 2844891113472 3793188151296 4267336670208 5689782226944 8534673340416 11379564453888 17069346680832 34138693361664
- Sum of all divisors σ(n): 105933633329160
- Sum of proper divisors (its aliquot sum) s(n): 71794939967496
- 34138693361664 is an abundant number, because the sum of its proper divisors (71794939967496) is greater than itself. Its abundance is 37656246605832
Bases of 34138693361664
- Binary: 1111100001100100010001011000011100000000000002
- Hexadecimal: 0x1F0C88B0E000
- Base-36: C3N3KLC00
Squares and roots of 34138693361664
- 34138693361664 squared (341386933616642) is 1165450384441721661104848896
- 34138693361664 cubed (341386933616643) is 39786953302689360018639300113756999122944
-
The
square root of 34138693361664 is 5842832.6487812397 -
The
cube root of 34138693361664 is 32440.1085112197
Scales and comparisons
How big is 34138693361664?- 34,138,693,361,664 seconds is equal to 1,085,504 years, 44 weeks, 1 day, 18 hours, 14 minutes, 24 seconds.
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To count from 1 to 34,138,693,361,664 would take you about two million, seven hundred thirteen thousand, seven hundred sixty-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 34138693361664 cubic inches would be around 2703.3 feet tall.
Recreational maths with 34138693361664
- 34138693361664 backwards is 46616339683143
- The number of decimal digits it has is: 14
- The sum of 34138693361664's digits is 63
- More coming soon!
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