34023986399975040
34,023,986,399,975,040 is an even composite number composed of six prime numbers multiplied together.
34023986399975040 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of five hundred twelve divisors.
Prime factorization of 34023986399975040:
27 × 33 × 5 × 7 × 139 × 2023618391
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 5 × 7 × 139 × 2023618391)See below for interesting mathematical facts about the number 34023986399975040 from the Numbermatics database.
Names of 34023986399975040
- Cardinal: 34023986399975040 can be written as Thirty-four quadrillion, twenty-three trillion, nine hundred eighty-six billion, three hundred ninety-nine million, nine hundred seventy-five thousand and forty.
Scientific notation
- Scientific notation: 3.402398639997504 × 1016
Factors of 34023986399975040
- Number of distinct prime factors ω(n): 6
- Total number of prime factors Ω(n): 14
- Sum of prime factors: 2023618547
Divisors of 34023986399975040
- Number of divisors d(n): 512
-
Complete list of divisors:
1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 20 21 24 27 28 30 32 35 36 40 42 45 48 54 56 60 63 64 70 72 80 84 90 96 105 108 112 120 126 128 135 139 140 144 160 168 180 189 192 210 216 224 240 252 270 278 280 288 315 320 336 360 378 384 417 420 432 448 480 504 540 556 560 576 630 640 672 695 720 756 834 840 864 896 945 960 973 1008 1080 1112 1120 1152 1251 1260 1344 1390 1440 1512 1668 1680 1728 1890 1920 1946 2016 2085 2160 2224 2240 2502 2520 2688 2780 2880 2919 3024 3336 3360 3456 3753 3780 3892 4032 4170 4320 4448 4480 4865 5004 5040 5560 5760 5838 6048 6255 6672 6720 7506 7560 7784 8064 8340 8640 8757 8896 9730 10008 10080 11120 11676 12096 12510 13344 13440 14595 15012 15120 15568 16680 17280 17514 17792 18765 19460 20016 20160 22240 23352 24192 25020 26271 26688 29190 30024 30240 31136 33360 35028 37530 38920 40032 40320 43785 44480 46704 50040 52542 53376 58380 60048 60480 62272 66720 70056 75060 77840 80064 87570 88960 93408 100080 105084 116760 120096 120960 124544 131355 133440 140112 150120 155680 160128 175140 186816 200160 210168 233520 240192 262710 266880 280224 300240 311360 350280 373632 400320 420336 467040 480384 525420 560448 600480 622720 700560 800640 840672 934080 1050840 1120896 1200960 1401120 1681344 1868160 2101680 2401920 2802240 3362688 4203360 5604480 8406720 16813440 2023618391 4047236782 6070855173 8094473564 10118091955 12141710346 14165328737 16188947128 18212565519 20236183910 24283420692 28330657474 30354275865 32377894256 36425131038 40472367820 42495986211 48566841384 54637696557 56661314948 60708551730 64755788512 70826643685 72850262076 80944735640 84991972422 91062827595 97133682768 109275393114 113322629896 121417103460 127487958633 129511577024 141653287370 145700524152 161889471280 169983944844 182125655190 194267365536 212479931055 218550786228 226645259792 242834206920 254975917266 259023154048 273188482785 281282956349 283306574740 291401048304 323778942560 339967889688 364251310380 382463875899 388534731072 424959862110 437101572456 453290519584 485668413840 509951834532 546376965570 562565912698 566613149480 582802096608 637439793165 647557885120 679935779376 728502620760 764927751798 777069462144 843848869047 849919724220 874203144912 906581039168 971336827680 1019903669064 1092753931140 1125131825396 1133226298960 1165604193216 1274879586330 1295115770240 1359871558752 1406414781745 1457005241520 1529855503596 1687697738094 1699839448440 1748406289824 1813162078336 1912319379495 1942673655360 1968980694443 2039807338128 2185507862280 2250263650792 2266452597920 2331208386432 2531546607141 2549759172660 2719743117504 2812829563490 2914010483040 3059711007192 3375395476188 3399678896880 3496812579648 3824638758990 3885347310720 3937961388886 4079614676256 4219244345235 4371015724560 4500527301584 4532905195840 5063093214282 5099518345320 5439486235008 5625659126980 5828020966080 5906942083329 6119422014384 6750790952376 6799357793760 6993625159296 7594639821423 7649277517980 7875922777772 8159229352512 8438488690470 8742031449120 9001054603168 9065810391680 9844903472215 10126186428564 10199036690640 11251318253960 11656041932160 11813884166658 12238844028768 12657733035705 13501581904752 13598715587520 15189279642846 15298555035960 15751845555544 16318458705024 16876977380940 17484062898240 17720826249987 18002109206336 19689806944430 20252372857128 20398073381280 22502636507920 23627768333316 24477688057536 25315466071410 27003163809504 27197431175040 29534710416645 30378559285692 30597110071920 31503691111088 33753954761880 34968125796480 35441652499974 36004218412672 37973199107115 39379613888860 40504745714256 40796146762560 45005273015840 47255536666632 48955376115072 50630932142820 53162478749961 54006327619008 59069420833290 60757118571384 61194220143840 63007382222176 67507909523760 70883304999948 75946398214230 78759227777720 81009491428512 81592293525120 88604131249935 90010546031680 94511073333264 101261864285640 106324957499922 108012655238016 118138841666580 121514237142768 122388440287680 126014764444352 135015819047520 141766609999896 151892796428460 157518455555440 162018982857024 177208262499870 180021092063360 189022146666528 202523728571280 212649914999844 236277683333160 243028474285536 244776880575360 252029528888704 265812393749805 270031638095040 283533219999792 303785592856920 315036911110880 324037965714048 354416524999740 378044293333056 405047457142560 425299829999688 472555366666320 486056948571072 531624787499610 540063276190080 567066439999584 607571185713840 630073822221760 708833049999480 756088586666112 810094914285120 850599659999376 945110733332640 972113897142144 1063249574999220 1134132879999168 1215142371427680 1260147644443520 1417666099998960 1620189828570240 1701199319998752 1890221466665280 2126499149998440 2268265759998336 2430284742855360 2835332199997920 3402398639997504 3780442933330560 4252998299996880 4860569485710720 5670664399995840 6804797279995008 8505996599993760 11341328799991680 17011993199987520 34023986399975040
- Sum of all divisors σ(n): 138706899061248000
- Sum of proper divisors (its aliquot sum) s(n): 104682912661272960
- 34023986399975040 is an abundant number, because the sum of its proper divisors (104682912661272960) is greater than itself. Its abundance is 70658926261297920
Bases of 34023986399975040
- Binary: 11110001110000010100010101001110011011010010110100000002
- Hexadecimal: 0x78E0A2A7369680
- Base-36: 9B0HVKL8YO0
Squares and roots of 34023986399975040
- 34023986399975040 squared (340239863999750402) is 1157631650545686482598912623001600
- 34023986399975040 cubed (340239863999750403) is 39387243534347094976611619405189096719169880064000
-
The
square root of 34023986399975040 is 184455919.9374610475 -
The
cube root of 34023986399975040 is 324037.3451846475
Scales and comparisons
How big is 34023986399975040?- 34,023,986,399,975,040 seconds is equal to 1,081,857,524 years, 21 weeks, 5 days, 14 hours, 24 minutes.
-
To count from 1 to 34,023,986,399,975,040 would take you about three billion, two hundred forty-five million, five hundred seventy-two thousand, five hundred seventy-three 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 34023986399975040 cubic inches would be around 27003.1 feet tall.
Recreational maths with 34023986399975040
- 34023986399975040 backwards is 04057999368932043
- The number of decimal digits it has is: 17
- The sum of 34023986399975040's digits is 81
- More coming soon!
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