40045320616688640
40,045,320,616,688,640 is an even composite number composed of six prime numbers multiplied together.
What does the number 40045320616688640 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 2376 divisors.
40045320616688640 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of two thousand, three hundred seventy-six divisors.
Prime factorization of 40045320616688640:
210 × 33 × 5 × 112 × 1132 × 4332
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 5 × 11 × 11 × 113 × 113 × 433 × 433)See below for interesting mathematical facts about the number 40045320616688640 from the Numbermatics database.
Names of 40045320616688640
- Cardinal: 40045320616688640 can be written as Forty quadrillion, forty-five trillion, three hundred twenty billion, six hundred sixteen million, six hundred eighty-eight thousand, six hundred forty.
Scientific notation
- Scientific notation: 4.004532061668864 × 1016
Factors of 40045320616688640
Divisors of 40045320616688640
- Number of divisors d(n): 2376
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Complete list of divisors:
1 2 3 4 5 6 8 9 10 11 12 15 16 18 20 22 24 27 30 32 33 36 40 44 45 48 54 55 60 64 66 72 80 88 90 96 99 108 110 113 120 121 128 132 135 144 160 165 176 180 192 198 216 220 226 240 242 256 264 270 288 297 320 330 339 352 360 363 384 396 432 433 440 452 480 484 495 512 528 540 565 576 594 605 640 660 678 704 720 726 768 792 864 866 880 904 960 968 990 1017 1024 1056 1080 1089 1130 1152 1188 1210 1243 1280 1299 1320 1356 1408 1440 1452 1485 1536 1584 1695 1728 1732 1760 1808 1815 1920 1936 1980 2034 2112 2160 2165 2178 2260 2304 2376 2420 2486 2560 2598 2640 2712 2816 2880 2904 2970 3051 3072 3168 3267 3390 3456 3464 3520 3616 3630 3729 3840 3872 3897 3960 4068 4224 4320 4330 4356 4520 4608 4752 4763 4840 4972 5085 5120 5196 5280 5424 5445 5632 5760 5808 5940 6102 6215 6336 6495 6534 6780 6912 6928 7040 7232 7260 7458 7680 7744 7794 7920 8136 8448 8640 8660 8712 9040 9216 9504 9526 9680 9944 10170 10392 10560 10848 10890 11187 11264 11520 11616 11691 11880 12204 12430 12672 12769 12990 13068 13560 13673 13824 13856 14080 14289 14464 14520 14916 15255 15360 15488 15588 15840 16272 16335 16896 17280 17320 17424 18080 18645 19008 19052 19360 19485 19888 20340 20784 21120 21696 21780 22374 23040 23232 23382 23760 23815 24408 24860 25344 25538 25980 26136 27120 27346 27648 27712 28160 28578 28928 29040 29832 30510 30976 31176 31680 32544 32670 33561 33792 34560 34640 34848 36160 37290 38016 38104 38307 38720 38970 39776 40680 41019 41568 42240 42867 43392 43560 44748 46080 46464 46764 47520 47630 48816 48929 49720 50688 51076 51960 52272 52393 54240 54692 55424 55935 56320 57156 57856 58080 58455 59664 61020 61952 62352 63360 63845 65088 65340 67122 68365 69120 69280 69696 71445 72320 74580 76032 76208 76614 77440 77940 79552 81360 82038 83136 84480 85734 86784 87120 89496 92928 93528 95040 95260 97632 97858 99440 101376 102152 103920 104544 104786 108480 109384 110848 111870 114312 114921 115712 116160 116910 119328 122040 123057 123904 124704 126720 127690 128601 130176 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3425311831040 3447427739040 3476156303532 3555159855885 3579629982720 3677256254976 3691493419680 3792170512944 3853475809920 3937592980992 4027083730560 4136913286848 4203791792640 4213522792160 4345195379415 4429792103616 4596570318720 4624170971904 4634875071376 4740213141180 4921991226240 5056227350592 5137967746560 5171141608560 5214234455298 5369444974080 5515884382464 5537240129520 5688255769416 5780213714880 5793593839220 5906389471488 6128760424960 6165561295872 6320284188240 6443333968896 6562654968320 6741636467456 6894855478080 6952312607064 7110319711770 7354512509952 7382986839360 7584341025888 7706951619840 7821351682947 7875185961984 8054167461120 8273826573696 8407583585280 8427045584320 8690390758830 8859584207232 9193140637440 9248341943808 9269750142752 9480426282360 9843982452480 10112454701184 10275935493120 10342283217120 10428468910596 10738889948160 11031768764928 11074480259040 11376511538832 11560427429760 11587187678440 11812778942976 12257520849920 12640568376480 13035586138245 13125309936640 13483272934912 13789710956160 13904625214128 14220639423540 14765973678720 15168682051776 15413903239680 15642703365894 16108334922240 16547653147392 16854091168640 17380781517660 17719168414464 18386281274880 18496683887616 18539500285504 18960852564720 19687964904960 20224909402368 20684566434240 20856937821192 22063537529856 22148960518080 22753023077664 23120854859520 23174375356880 23625557885952 25281136752960 26071172276490 26966545869824 27579421912320 27809250428256 28441278847080 29531947357440 30337364103552 30827806479360 31285406731788 32216669844480 33095306294784 33708182337280 34761563035320 35438336828928 36772562549760 37079000571008 37921705129440 39106758414735 39375929809920 40449818804736 41369132868480 41713875642384 44297921036160 45506046155328 46241709719040 46348750713760 50562273505920 52142344552980 55158843824640 55618500856512 56882557694160 59063894714880 60674728207104 62570813463576 66190612589568 67416364674560 69523126070640 70876673657856 74158001142016 75843410258880 78213516829470 80899637609472 82738265736960 83427751284768 88595842072320 91012092310656 92483419438080 92697501427520 101124547011840 104284689105960 110317687649280 111237001713024 113765115388320 118127789429760 121349456414208 125141626927152 134832729349120 139046252141280 148316002284032 151686820517760 156427033658940 165476531473920 166855502569536 177191684144640 182024184621312 185395002855040 202249094023680 208569378211920 222474003426048 227530230776640 242698912828416 250283253854304 278092504282560 296632004568064 303373641035520 312854067317880 330953062947840 333711005139072 354383368289280 364048369242624 370790005710080 404498188047360 417138756423840 444948006852096 455060461553280 500566507708608 556185008565120 606747282071040 625708134635760 667422010278144 728096738485248 741580011420160 834277512847680 889896013704192 910120923106560 1001133015417216 1112370017130240 1213494564142080 1251416269271520 1334844020556288 1483160022840320 1668555025695360 1820241846213120 2002266030834432 2224740034260480 2502832538543040 2669688041112576 3337110051390720 3640483692426240 4004532061668864 4449480068520960 5005665077086080 6674220102781440 8009064123337728 10011330154172160 13348440205562880 20022660308344320 40045320616688640
- Sum of all divisors σ(n): 158189505710942160
- Sum of proper divisors (its aliquot sum) s(n): 118144185094253520
- 40045320616688640 is an abundant number, because the sum of its proper divisors (118144185094253520) is greater than itself. Its abundance is 78098864477564880
Bases of 40045320616688640
- Binary: 100011100100010100000001110001100100011000111100000000002
- Hexadecimal: 0x8E4501C6463C00
- Base-36: AYAVQBNMYO0
Squares and roots of 40045320616688640
- 40045320616688640 squared (400453206166886402) is 1603627703293388238634478705049600
- 40045320616688640 cubed (400453206166886403) is 64217785528187773310677176652388977597998956544000
-
The
square root of 40045320616688640 is 200113269.4667913321 -
The
cube root of 40045320616688640 is 342124.3025259083
Scales and comparisons
How big is 40045320616688640?- 40,045,320,616,688,640 seconds is equal to 1,273,317,327 years, 15 weeks, 4 days, 14 hours, 24 minutes.
-
To count from 1 to 40,045,320,616,688,640 would take you about three billion, eight hundred nineteen million, nine hundred fifty-one thousand, nine hundred eighty-one 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 40045320616688640 cubic inches would be around 28510.4 feet tall.
Recreational maths with 40045320616688640
- 40045320616688640 backwards is 04688661602354004
- The number of decimal digits it has is: 17
- The sum of 40045320616688640's digits is 63
- More coming soon!
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"Number 40045320616688640 - Facts about the integer". Numbermatics.com. 2024. Web. 12 June 2024.
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Numbermatics. (2024). Number 40045320616688640 - Facts about the integer. Retrieved 12 June 2024, from https://numbermatics.com/n/40045320616688640/
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Numbermatics. 2024. "Number 40045320616688640 - Facts about the integer". https://numbermatics.com/n/40045320616688640/
The information we have on file for 40045320616688640 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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