34142988204000
34,142,988,204,000 is an even composite number composed of six prime numbers multiplied together.
34142988204000 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one thousand, seven hundred twenty-eight divisors.
Prime factorization of 34142988204000:
25 × 32 × 53 × 133 × 23 × 1372
(2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 5 × 5 × 13 × 13 × 13 × 23 × 137 × 137)See below for interesting mathematical facts about the number 34142988204000 from the Numbermatics database.
Names of 34142988204000
- Cardinal: 34142988204000 can be written as Thirty-four trillion, one hundred forty-two billion, nine hundred eighty-eight million, two hundred four thousand.
Scientific notation
- Scientific notation: 3.4142988204 × 1013
Factors of 34142988204000
Divisors of 34142988204000
- Number of divisors d(n): 1728
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 13 15 16 18 20 23 24 25 26 30 32 36 39 40 45 46 48 50 52 60 65 69 72 75 78 80 90 92 96 100 104 115 117 120 125 130 137 138 144 150 156 160 169 180 184 195 200 207 208 225 230 234 240 250 260 274 276 288 299 300 312 325 338 345 360 368 375 390 400 411 414 416 450 460 468 480 500 507 520 548 552 575 585 598 600 624 650 676 685 690 720 736 750 780 800 822 828 845 897 900 920 936 975 1000 1014 1035 1040 1096 1104 1125 1150 1170 1196 1200 1233 1248 1300 1352 1370 1380 1440 1495 1500 1521 1560 1625 1644 1656 1690 1725 1781 1794 1800 1840 1872 1950 2000 2028 2055 2070 2080 2192 2197 2208 2250 2300 2340 2392 2400 2466 2535 2600 2691 2704 2740 2760 2875 2925 2990 3000 3042 3120 3151 3250 3288 3312 3380 3425 3450 3562 3588 3600 3680 3744 3887 3900 4000 4056 4110 4140 4225 4384 4394 4485 4500 4600 4680 4784 4875 4932 5070 5175 5200 5343 5382 5408 5480 5520 5750 5850 5980 6000 6084 6165 6240 6302 6500 6576 6591 6624 6760 6850 6900 7124 7176 7200 7475 7605 7774 7800 8112 8220 8280 8450 8625 8788 8905 8970 9000 9200 9360 9453 9568 9750 9864 10140 10275 10350 10400 10686 10764 10960 10985 11040 11500 11661 11700 11960 12000 12168 12330 12604 12675 13000 13152 13182 13455 13520 13700 13800 14248 14352 14625 14950 15210 15548 15600 15755 16029 16224 16440 16560 16900 17125 17250 17576 17810 17940 18000 18400 18720 18769 18906 19435 19500 19728 19773 20280 20550 20700 21125 21372 21528 21920 21970 22425 23000 23153 23322 23400 23920 24336 24660 25208 25350 25875 26000 26364 26715 26910 27040 27400 27600 28359 28496 28704 29250 29900 30420 30825 31096 31200 31510 32058 32880 32955 33120 33800 34250 34500 34983 35152 35620 35880 36000 37375 37538 37812 38025 38870 39000 39456 39546 40560 40963 41100 41400 42250 42744 43056 43940 44525 44850 46000 46306 46644 46800 47265 47840 48672 49320 50416 50531 50700 51375 51750 52000 52728 53430 53820 54800 54925 55200 56307 56718 56992 58305 58500 59800 60840 61650 62192 63020 63375 64116 65760 65910 67275 67600 68500 69000 69459 69966 70304 71240 71760 74750 75076 75624 76050 77740 78000 78775 79092 80145 81120 81926 82200 82800 84500 85488 86112 87880 89050 89700 92000 92612 93288 93600 93845 94530 97175 98640 98865 100832 101062 101400 102750 103500 105456 106860 107640 109600 109850 112125 112614 113436 115765 116610 117000 119600 121680 122889 123300 124384 126040 126750 128232 131820 133575 134550 135200 137000 138000 138918 139932 141795 142480 143520 149500 150152 151248 151593 152100 154125 155480 156000 157550 158184 160290 163852 164400 164775 165600 168921 169000 170976 174915 175760 178100 179400 185224 186576 187690 189060 190125 194350 197280 197730 202124 202800 204815 205500 207000 208377 210912 213720 215280 219700 222625 224250 225228 226872 231530 233220 234000 236325 239200 243360 243997 245778 246600 252080 252655 253500 256464 263640 267150 269100 274000 274625 276000 277836 279864 281535 283590 284960 291525 299000 300304 300989 302496 303186 304200 308250 310960 315100 316368 320580 327704 328800 329550 336375 337842 338000 347295 349830 351520 356200 358800 368667 370448 373152 375380 378120 380250 388700 393875 395460 400725 404248 405600 409630 411000 414000 416754 427440 430560 431687 439400 445250 448500 450456 453744 454779 463060 466440 468000 469225 472650 485875 487994 491556 493200 494325 504160 505310 507000 512928 527280 532519 534300 538200 548000 549250 555672 559728 563070 567180 578825 583050 598000 600608 601978 606372 608400 614445 616500 621920 630200 632736 641160 655408 659100 667875 672750 675684 676000 694590 699660 708975 712400 717600 731991 737334 740896 750760 756240 757965 760500 777400 787750 790920 801450 808496 819260 822000 823875 828000 833508 844605 854880 863374 874575 878800 890500 897000 900912 902967 907488 909558 926120 932880 938450 945300 971750 975988 983112 986400 988650 1010620 1014000 1024075 1041885 1054560 1065038 1068600 1076400 1098500 1111344 1119456 1126140 1134360 1157650 1166100 1181625 1196000 1203956 1212744 1216800 1219985 1228890 1233000 1260400 1263275 1282320 1295061 1310816 1318200 1335750 1345500 1351368 1389180 1399320 1407675 1417950 1424800 1457625 1463982 1474668 1501520 1504945 1512480 1515930 1521000 1554800 1575500 1581840 1597557 1602900 1616992 1638520 1644000 1647750 1667016 1689210 1726748 1736475 1749150 1757600 1781000 1794000 1801824 1805934 1819116 1843335 1852240 1865760 1876900 1890600 1943500 1951976 1966224 1977300 2003625 2021240 2028000 2048150 2083770 2130076 2137200 2152800 2158435 2195973 2197000 2222688 2252280 2268720 2273895 2315300 2332200 2346125 2363250 2407912 2425488 2439970 2457780 2466000 2471625 2520800 2526550 2564640 2590122 2636400 2662595 2671500 2691000 2702736 2708901 2778360 2798640 2815350 2835900 2894125 2915250 2927964 2949336 3003040 3009890 3031860 3042000 3072225 3109600 3151000 3163680 3171961 3195114 3205800 3277040 3295500 3334032 3378420 3453496 3472950 3498300 3544875 3562000 3588000 3611868 3638232 3659955 3686670 3704480 3753800 3781200 3789825 3885183 3887000 3903952 3932448 3954600 4007250 4042480 4096300 4167540 4223025 4260152 4274400 4316870 4372875 4391946 4394000 4504560 4514835 4537440 4547790 4630600 4664400 4692250 4726500 4792671 4815824 4850976 4879940 4915560 4932000 4943250 5053100 5120375 5180244 5209425 5272800 5325190 5343000 5382000 5405472 5417802 5556720 5597280 5611931 5630700 5671800 5788250 5830500 5855928 5898672 6019780 6063720 6084000 6099925 6144450 6302000 6316375 6343922 6390228 6411600 6475305 6554080 6591000 6668064 6756840 6906992 6922747 6945900 6996600 7038375 7089750 7124000 7223736 7276464 7319910 7373340 7507600 7524725 7562400 7579650 7770366 7774000 7807904 7909200 7987785 8014500 8084960 8192600 8335080 8446050 8520304 8633740 8682375 8745750 8783892 8788000 9009120 9029670 9095580 9216675 9261200 9328800 9384500 9453000 9515883 9585342 9631648 9759880 9831120 9886500 10106200 10240750 10360488 10418850 10650380 10686000 10764000 10792175 10835604 10979865 11113440 11223862 11261400 11343600 11369475 11576500 11661000 11711856 11797344 12039560 12127440 12199850 12288900 12604000 12632750 12687844 12780456 12823200 12950610 13182000 13312975 13513680 13544505 13813984 13845494 13891800 13993200 14076750 14179500 14447472 14552928 14639820 14746680 15015200 15049450 15159300 15361125 15540732 15548000 15818400 15859805 15975570 16029000 16385200 16670160 16835793 16892100 17040608 17267480 17364750 17491500 17567784 18059340 18191160 18299775 18433350 18522400 18769000 18906000 18949125 19031766 19170684 19425915 19519760 19662240 19773000 20212400 20481500 20720976 20768241 20837700 21115125 21300760 21372000 21584350 21671208 21959730 22447724 22522800 22574175 22687200 22738950 23153000 23322000 23423712 23963355 24079120 24254880 24399700 24577800 25265500 25375688 25560912 25901220 26047125 26364000 26625950 27027360 27089010 27690988 27783600 27986400 28059655 28153500 28359000 28547649 28894944 29279640 29493360 30098900 30318600 30499625 30722250 31081464 31719610 31951140 32058000 32376525 32770400 33340320 33671586 33784200 34534960 34613735 34729500 34983000 35135568 36118680 36382320 36599550 36866700 37538000 37623625 37812000 37898250 38063532 38341368 38851830 39039520 39546000 39938925 40424800 40963000 41235493 41441952 41536482 41675400 42230250 42601520 43168700 43342416 43919460 44895448 45045600 45148350 45477900 46083375 46306000 46644000 47579415 47926710 48158240 48799400 49155600 50507379 50531000 50751376 51121824 51802440 52094250 53251900 53960875 54178020 54899325 55381976 55567200 56119310 56307000 56718000 56847375 57095298 58559280 58986720 60197800 60637200 60999250 61444500 62162928 62304723 63439220 63902280 64116000 64753050 66564875 67343172 67568400 67722525 69069920 69227470 69459000 69966000 70271136 72237360 72764640 72955103 73199100 73733400 75076000 75247250 75796500 76127064 76682736 77703660 79092000 79299025 79877850 81926000 82470986 83072964 83350800 84178965 84460500 85203040 86337400 86684832 87838920 89790896 90296700 90955800 91498875 92166750 92612000 95158830 95853420 97129575 97598800 98311200 101014758 101062000 101502752 103604880 103841205 104188500 106503800 107921750 108356040 109798650 110763952 112238620 112614000 112870875 113436000 113694750 114190596 117118560 119816775 120395600 121274400 121998500 122889000 123706479 124325856 124609446 126878440 127804560 129506100 133129750 134686344 135136800 135445050 138454940 138918000 139932000 140298275 142738245 144474720 145910206 146398200 147466800 150494500 151593000 152254128 153365472 155407320 158598050 159755700 161882625 163852000 164941972 166145928 166701600 168357930 168921000 172674800 173068675 175677840 179581792 180593400 181911600 182997750 184333500 190317660 191706840 194259150 195197600 199694625 202029516 202124000 206177465 207209760 207682410 208377000 213007600 215843500 216712080 218865309 219597300 221527904 224477240 225228000 225741750 227389500 228381192 237897075 239633550 240791200 243997000 245778000 247412958 249218892 252536895 253756880 255609120 259012200 266259500 269372688 270890100 274496625 276909880 277836000 280596550 285476490 291820412 292796400 294933600 300989000 303186000 304508256 310814640 311523615 317196100 319511400 323765250 329883944 332291856 336715860 337842000 338612625 345349600 346137350 351355680 361186800 363823200 364775515 365995500 368667000 371119437 380635320 383413680 388518300 396495125 399389250 404059032 412354930 415364820 416754000 420894825 426015200 431687000 433424160 437730618 439194600 448954480 451483500 454779000 456762384 475794150 479267100 485647875 487994000 491556000 494825916 498437784 505073790 507513760 518024400 519206025 532519000 538745376 541780200 548993250 553819760 561193100 570952980 583640824 585592800 599083875 601978000 606372000 618532395 621629280 623047230 634392200 639022800 647530500 656595927 659767888 664583712 673431720 675684000 677225250 692274700 701491375 713691225 722373600 729551030 731991000 737334000 742238874 761270640 766827360 777036600 792990250 798778500 808118064 824709860 830729640 833508000 841789650 863374000 865343375 875461236 878389200 897908960 902967000 909558000 913524768 948416339 951588300 958534200 971295750 975988000 989651832 996875568 1010147580 1030887325 1036048800 1038412050 1065038000 1083560400 1094326545 1097986500 1107639520 1122386200 1141905960 1167281648 1189485375 1198167750 1203956000 1237064790 1246094460 1262684475 1268784400 1278045600 1295061000 1313191854 1319535776 1346863440 1354450500 1384549400 1402982750 1427382450 1459102060 1463982000 1474668000 1484477748 1522541280 1554073200 1557618075 1585980500 1597557000 1616236128 1649419720 1661459280 1683579300 1726748000 1730686750 1750922472 1756778400 1805934000 1819116000 1823877575 1855597185 1896832678 1903176600 1917068400 1942591500 1979303664 1993751136 2020295160 2061774650 2076824100 2104474125 2130076000 2167120800 2188653090 2195973000 2244772400 2283811920 2334563296 2378970750 2396335500 2474129580 2492188920 2525368950 2537568800 2590122000 2596030125 2626383708 2693726880 2708901000 2769098800 2805965500 2845249017 2854764900 2918204120 2927964000 2968955496 3092661975 3108146400 3115236150 3171961000 3195114000 3282979635 3298839440 3322918560 3367158600 3461373500 3501844944 3568456125 3611868000 3647755150 3711194370 3793665356 3806353200 3834136800 3885183000 3958607328 4040590320 4123549300 4153648200 4208948250 4377306180 4391946000 4489544800 4567623840 4742081695 4757941500 4792671000 4948259160 4984377840 5050737900 5154436625 5180244000 5192060250 5252767416 5417802000 5471632725 5538197600 5611931000 5690498034 5709529800 5836408240 5937910992 6185323950 6230472300 6313422375 6343922000 6390228000 6565959270 6597678880 6734317200 6922747000 7003689888 7136912250 7295510300 7422388740 7587330712 7612706400 7770366000 7788090375 8081180640 8247098600 8307296400 8417896500 8535747051 8754612360 8783892000 9119387875 9277985925 9484163390 9515883000 9585342000 9896518320 9968755680 10101475800 10308873250 10384120500 10505534832 10835604000 10943265450 11223862000 11380996068 11419059600 11672816480 11875821984 12370647900 12460944600 12626844750 12687844000 13131918540 13468634400 13845494000 14226245085 14273824500 14591020600 14844777480 15174661424 15463309875 15540732000 15576180750 16414898175 16494197200 16614592800 16835793000 17071494102 17509224720 18238775750 18555971850 18968326780 19031766000 19170684000 19793036640 20202951600 20617746500 20768241000 21011069664 21886530900 22447724000 22761992136 22838119200 23710408475 24741295800 24921889200 25253689500 26263837080 27358163625 27690988000 28452490170 28547649000 29182041200 29689554960 30349322848 30926619750 31152361500 32829796350 32988394400 33671586000 34142988204 35018449440 36477551500 37111943700 37936653560 38063532000 40405903200 41235493000 41536482000 42678735255 43773061800 45523984272 46389929625 47420816950 49482591600 49843778400 50507379000 52527674160 54716327250 56904980340 57095298000 58364082400 59379109920 61853239500 62304723000 65659592700 67343172000 68285976408 71131225425 72955103000 74223887400 75873307120 82074490875 82470986000 83072964000 85357470510 87546123600 91047968544 92779859250 94841633900 98965183200 101014758000 105055348320 109432654500 113809960680 114190596000 118552042375 123706479000 124609446000 131319185400 136571952816 142262450850 145910206000 148447774800 151746614240 164148981750 164941972000 170714941020 175092247200 185559718500 189683267800 202029516000 213393676275 218865309000 227619921360 237104084750 247412958000 249218892000 262638370800 273143905632 284524901700 291820412000 296895549600 328297963500 341429882040 355656127125 371119437000 379366535600 426787352550 437730618000 455239842720 474208169500 494825916000 525276741600 569049803400 656595927000 682859764080 711312254250 742238874000 758733071200 853574705100 875461236000 948416339000 1066968381375 1138099606800 1313191854000 1365719528160 1422624508500 1484477748000 1707149410200 1896832678000 2133936762750 2276199213600 2626383708000 2845249017000 3414298820400 3793665356000 4267873525500 5690498034000 6828597640800 8535747051000 11380996068000 17071494102000 34142988204000
- Sum of all divisors σ(n): 137981011109760
- Sum of proper divisors (its aliquot sum) s(n): 103838022905760
- 34142988204000 is an abundant number, because the sum of its proper divisors (103838022905760) is greater than itself. Its abundance is 69695034701760
Bases of 34142988204000
- Binary: 1111100001101100010001010111011110111111000002
- Hexadecimal: 0x1F0D88AEF7E0
- Base-36: C3P2LMPK0
Squares and roots of 34142988204000
- 34142988204000 squared (341429882040002) is 1165743643498483145616000000
- 34142988204000 cubed (341429882040003) is 39801971468856691332659902313664000000000
-
The
square root of 34142988204000 is 5843200.1680585957 -
The
cube root of 34142988204000 is 32441.4688377337
Scales and comparisons
How big is 34142988204000?- 34,142,988,204,000 seconds is equal to 1,085,641 years, 21 weeks, 3 days, 14 hours.
-
To count from 1 to 34,142,988,204,000 would take you about two million, seven hundred fourteen thousand, one hundred 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 34142988204000 cubic inches would be around 2703.5 feet tall.
Recreational maths with 34142988204000
- 34142988204000 backwards is 00040288924143
- 34142988204000 is a
Harshad number . - The number of decimal digits it has is: 14
- The sum of 34142988204000's digits is 45
- More coming soon!
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"Number 34142988204000 - Facts about the integer". Numbermatics.com. 2024. Web. 9 June 2024.
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Numbermatics. (2024). Number 34142988204000 - Facts about the integer. Retrieved 9 June 2024, from https://numbermatics.com/n/34142988204000/
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The information we have on file for 34142988204000 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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