2009874931384320
2,009,874,931,384,320 is an even composite number composed of seven prime numbers multiplied together.
2009874931384320 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of two thousand, seven hundred thirty-six divisors.
Prime factorization of 2009874931384320:
218 × 32 × 5 × 7 × 11 × 132 × 13093
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 7 × 11 × 13 × 13 × 13093)See below for interesting mathematical facts about the number 2009874931384320 from the Numbermatics database.
Names of 2009874931384320
- Cardinal: 2009874931384320 can be written as Two quadrillion, nine trillion, eight hundred seventy-four billion, nine hundred thirty-one million, three hundred eighty-four thousand, three hundred twenty.
Scientific notation
- Scientific notation: 2.00987493138432 × 1015
Factors of 2009874931384320
Divisors of 2009874931384320
- Number of divisors d(n): 2736
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Complete list of divisors:
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 18 20 21 22 24 26 28 30 32 33 35 36 39 40 42 44 45 48 52 55 56 60 63 64 65 66 70 72 77 78 80 84 88 90 91 96 99 104 105 110 112 117 120 126 128 130 132 140 143 144 154 156 160 165 168 169 176 180 182 192 195 198 208 210 220 224 231 234 240 252 256 260 264 273 280 286 288 308 312 315 320 330 336 338 352 360 364 384 385 390 396 416 420 429 440 448 455 462 468 480 495 504 507 512 520 528 546 560 572 576 585 616 624 630 640 660 672 676 693 704 715 720 728 768 770 780 792 819 832 840 845 858 880 896 910 924 936 960 990 1001 1008 1014 1024 1040 1056 1092 1120 1144 1152 1155 1170 1183 1232 1248 1260 1280 1287 1320 1344 1352 1365 1386 1408 1430 1440 1456 1521 1536 1540 1560 1584 1638 1664 1680 1690 1716 1760 1792 1820 1848 1859 1872 1920 1980 2002 2016 2028 2048 2080 2112 2145 2184 2240 2288 2304 2310 2340 2366 2464 2496 2520 2535 2560 2574 2640 2688 2704 2730 2772 2816 2860 2880 2912 3003 3042 3072 3080 3120 3168 3276 3328 3360 3380 3432 3465 3520 3549 3584 3640 3696 3718 3744 3840 3960 4004 4032 4056 4095 4096 4160 4224 4290 4368 4480 4576 4608 4620 4680 4732 4928 4992 5005 5040 5070 5120 5148 5280 5376 5408 5460 5544 5577 5632 5720 5760 5824 5915 6006 6084 6144 6160 6240 6336 6435 6552 6656 6720 6760 6864 6930 7040 7098 7168 7280 7392 7436 7488 7605 7680 7920 8008 8064 8112 8190 8192 8320 8448 8580 8736 8960 9009 9152 9216 9240 9295 9360 9464 9856 9984 10010 10080 10140 10240 10296 10560 10647 10752 10816 10920 11088 11154 11264 11440 11520 11648 11830 12012 12168 12288 12320 12480 12672 12870 13013 13093 13104 13312 13440 13520 13728 13860 14080 14196 14336 14560 14784 14872 14976 15015 15210 15360 15840 16016 16128 16224 16380 16384 16640 16731 16896 17160 17472 17745 17920 18018 18304 18432 18480 18590 18720 18928 19712 19968 20020 20160 20280 20480 20592 21120 21294 21504 21632 21840 22176 22308 22528 22880 23040 23296 23660 24024 24336 24576 24640 24960 25344 25740 26026 26186 26208 26624 26880 27040 27456 27720 27885 28160 28392 28672 29120 29568 29744 29952 30030 30420 30720 31680 32032 32256 32448 32760 32768 33280 33462 33792 34320 34944 35490 35840 36036 36608 36864 36960 37180 37440 37856 39039 39279 39424 39936 40040 40320 40560 40960 41184 42240 42588 43008 43264 43680 44352 44616 45045 45056 45760 46080 46592 47320 48048 48672 49152 49280 49920 50688 51480 52052 52372 52416 53235 53248 53760 54080 54912 55440 55770 56320 56784 57344 58240 59136 59488 59904 60060 60840 61440 63360 64064 64512 64896 65065 65465 65520 65536 66560 66924 67584 68640 69888 70980 71680 72072 73216 73728 73920 74360 74880 75712 78078 78558 78848 79872 80080 80640 81120 81920 82368 83655 84480 85176 86016 86528 87360 88704 89232 90090 90112 91520 91651 92160 93184 94640 96096 97344 98304 98560 99840 101376 102960 104104 104744 104832 106470 106496 107520 108160 109824 110880 111540 112640 113568 114688 116480 117117 117837 118272 118976 119808 120120 121680 122880 126720 128128 129024 129792 130130 130930 131040 131072 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312334876672 317215109120 322095341568 326278397952 327128081280 330354196480 334644510720 339792887808 345102151680 348936620032 351376736256 356866997760 360386396160 362531553280 368108961792 371648471040 373860664320 380658130944 390418595840 392553697536 396425035776 398784708608 401573412864 402619176960 407847997440 424741109760 429460455424 435037863936 436170775040 439220920320 448632797184 460136202240 468502315008 475822663680 483143012352 490692121920 490811949056 495531294720 498480885760 501966766080 507544174592 523404930048 536825569280 540579594240 543797329920 552163442688 560790996480 566321479680 570987196416 580050485248 585627893760 594637553664 598177062912 603928765440 613514936320 634430218240 644190683136 652556795904 654256162560 660708392960 669289021440 690204303360 697873240064 702753472512 713733995520 725063106560 736217923584 743296942080 747721328640 761316261888 780837191680 785107395072 792850071552 797569417216 805238353920 815695994880 849482219520 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2610227183616 2617024650240 2760817213440 2791492960256 2811013890048 2854935982080 2900252426240 2973187768320 2990885314560 3045265047552 3140429580288 3190277668864 3220953415680 3262783979520 3435683643392 3489366200320 3513767362560 3589062377472 3681089617920 3806581309440 3865144098816 3925536975360 3964250357760 3987847086080 4060353396736 4187239440384 4294604554240 4350378639360 4417307541504 4486327971840 4567897571328 4685023150080 4785416503296 4831430123520 5075441745920 5153525465088 5220454367232 5234049300480 5521634426880 5582985920512 5709871964160 5946375536640 5981770629120 6090530095104 6280859160576 6380555337728 6441906831360 6525567959040 6978732400640 7027534725120 7178124754944 7362179235840 7613162618880 7730288197632 7851073950720 7975694172160 8374478880768 8589209108480 8700757278720 8972655943680 9135795142656 9570833006592 9662860247040 10150883491840 10307050930176 10468098600960 11043268853760 11165971841024 11419743928320 11892751073280 11963541258240 12181060190208 12561718321152 12883813662720 13051135918080 13957464801280 14055069450240 14356249509888 15226325237760 15460576395264 15702147901440 15951388344320 16748957761536 17178418216960 17945311887360 18271590285312 19141666013184 19325720494080 20301766983680 20936197201920 22086537707520 22331943682048 22839487856640 23927082516480 25123436642304 25767627325440 26102271836160 27914929602560 28712499019776 30452650475520 30921152790528 31404295802880 31902776688640 33497915523072 35890623774720 36543180570624 38651440988160 41872394403840 44663887364096 45678975713280 47854165032960 50246873284608 51535254650880 55829859205120 57424998039552 60905300951040 62808591605760 66995831046144 71781247549440 77302881976320 83744788807680 91357951426560 95708330065920 100493746569216 111659718410240 125617183211520 133991662092288 143562495098880 154605763952640 167489577615360 182715902853120 200987493138432 223319436820480 251234366423040 287124990197760 334979155230720 401974986276864 502468732846080 669958310461440 1004937465692160 2009874931384320
- Sum of all divisors σ(n): 9407156114109312
- Sum of proper divisors (its aliquot sum) s(n): 7397281182724992
- 2009874931384320 is an abundant number, because the sum of its proper divisors (7397281182724992) is greater than itself. Its abundance is 5387406251340672
Bases of 2009874931384320
- Binary: 1110010001111111000011110010101010000000000000000002
- Hexadecimal: 0x723F879540000
- Base-36: JSFVSOPOG0
Squares and roots of 2009874931384320
- 2009874931384320 squared (20098749313843202) is 4039597239807125028111541862400
- 2009874931384320 cubed (20098749313843203) is 8119085225177633880386732551798639262957568000
-
The
square root of 2009874931384320 is 44831628.6943082183 -
The
cube root of 2009874931384320 is 126199.1252092871
Scales and comparisons
How big is 2009874931384320?- 2,009,874,931,384,320 seconds is equal to 63,907,805 years, 45 weeks, 11 hours, 12 minutes.
-
To count from 1 to 2,009,874,931,384,320 would take you about one hundred ninety-one million, seven hundred twenty-three thousand, four hundred seventeen 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 2009874931384320 cubic inches would be around 10516.6 feet tall.
Recreational maths with 2009874931384320
- 2009874931384320 backwards is 0234831394789002
- 2009874931384320 is a
Harshad number . - The number of decimal digits it has is: 16
- The sum of 2009874931384320's digits is 63
- More coming soon!
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MLA style:
"Number 2009874931384320 - Facts about the integer". Numbermatics.com. 2024. Web. 11 June 2024.
APA style:
Numbermatics. (2024). Number 2009874931384320 - Facts about the integer. Retrieved 11 June 2024, from https://numbermatics.com/n/2009874931384320/
Chicago style:
Numbermatics. 2024. "Number 2009874931384320 - Facts about the integer". https://numbermatics.com/n/2009874931384320/
The information we have on file for 2009874931384320 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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