3997103794041600
3,997,103,794,041,600 is an even composite number composed of seven prime numbers multiplied together.
What does the number 3997103794041600 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 2592 divisors.
3997103794041600 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of two thousand, five hundred ninety-two divisors.
Prime factorization of 3997103794041600:
28 × 33 × 52 × 11 × 61 × 127 × 5212
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 5 × 5 × 11 × 61 × 127 × 521 × 521)See below for interesting mathematical facts about the number 3997103794041600 from the Numbermatics database.
Names of 3997103794041600
- Cardinal: 3997103794041600 can be written as Three quadrillion, nine hundred ninety-seven trillion, one hundred three billion, seven hundred ninety-four million, forty-one thousand, six hundred.
Scientific notation
- Scientific notation: 3.9971037940416 × 1015
Factors of 3997103794041600
Divisors of 3997103794041600
- Number of divisors d(n): 2592
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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 25 27 30 32 33 36 40 44 45 48 50 54 55 60 61 64 66 72 75 80 88 90 96 99 100 108 110 120 122 127 128 132 135 144 150 160 165 176 180 183 192 198 200 216 220 225 240 244 254 256 264 270 275 288 297 300 305 320 330 352 360 366 381 384 396 400 432 440 450 480 488 495 508 521 528 540 549 550 576 594 600 610 635 640 660 671 675 704 720 732 762 768 792 800 825 864 880 900 915 960 976 990 1016 1042 1056 1080 1098 1100 1143 1152 1188 1200 1220 1270 1280 1320 1342 1350 1397 1408 1440 1464 1485 1524 1525 1563 1584 1600 1647 1650 1728 1760 1800 1830 1905 1920 1952 1980 2013 2032 2084 2112 2160 2196 2200 2286 2304 2376 2400 2440 2475 2540 2605 2640 2684 2700 2745 2794 2816 2880 2928 2970 3048 3050 3126 3168 3175 3200 3294 3300 3355 3429 3456 3520 3600 3660 3810 3840 3904 3960 4026 4064 4168 4191 4224 4320 4392 4400 4572 4575 4689 4752 4800 4880 4950 5080 5210 5280 5368 5400 5490 5588 5715 5731 5760 5856 5940 6039 6096 6100 6252 6336 6350 6400 6588 6600 6710 6858 6912 6985 7040 7200 7320 7425 7620 7747 7808 7815 7920 8052 8128 8235 8336 8382 8448 8640 8784 8800 9144 9150 9378 9504 9525 9600 9760 9900 10065 10160 10420 10560 10736 10800 10980 11176 11430 11462 11520 11712 11880 12078 12192 12200 12504 12573 12672 12700 13025 13176 13200 13420 13716 13725 13970 14067 14080 14400 14640 14850 15240 15494 15616 15630 15840 16104 16256 16470 16672 16764 16775 17145 17193 17280 17568 17600 18117 18288 18300 18756 19008 19050 19200 19520 19800 20130 20320 20840 20955 21120 21472 21600 21960 22352 22860 22924 23241 23424 23445 23760 24156 24384 24400 25008 25146 25344 25400 26050 26352 26400 26840 27432 27450 27940 28134 28575 28655 28800 29280 29700 30195 30480 30988 31260 31680 31781 32208 32512 32940 33344 33528 33550 34290 34386 34560 34925 35136 35200 36234 36576 36600 37512 37719 38016 38100 38735 39040 39075 39600 40260 40640 41175 41680 41910 42240 42944 43200 43920 44704 45720 45848 46482 46848 46890 47520 48312 48768 48800 50016 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273026215440 277576652364 283885212645 284147564800 286120529280 291227963136 291419057600 297846780480 302810893488 303362461600 306879369984 314732582208 315428014050 317911699200 319666010400 327631458528 327846439800 330940867200 336456548320 341282769300 346970815455 348726556800 349702869120 357650661600 364034953920 370102203152 372308475600 378513616860 383599212480 393415727760 397129040640 403747857984 409539323160 416364978546 419643442944 420570685400 426221347200 436841944704 437128586400 454216340232 455043692400 462627753940 473142021075 476867548800 479499015600 485379938560 491769659700 496411300800 504684822480 511465616640 511924153950 515955052800 524554303680 538330477312 546052430880 555153304728 567770425290 572241058560 578284692425 582838115200 595693560960 605621786976 606724923200 624547467819 629465164416 630856028100 639332020800 655262917056 655692879600 661881734400 672913096640 682565538600 693941630910 697453113600 699405738240 715301323200 728069907840 740204406304 744616951200 757027233720 767198424960 786831455520 807495715968 819078646320 832729957092 841141370800 852442694400 873683889408 874257172800 908432680464 910087384800 925255507880 946284042150 953735097600 958998031200 983539319400 992822601600 1009369644960 1023848307900 1040912446365 1049108607360 1092104861760 1110306609456 1135540850580 1156569384850 1165676230400 1191387121920 1211243573952 1213449846400 1249094935638 1258930328832 1261712056200 1278664041600 1310525834112 1311385759200 1345826193280 1365131077200 1387883261820 1419426063225 1430602646400 1456139815680 1480408812608 1489233902400 1514054467440 1534396849920 1573662911040 1614991431936 1638157292640 1665459914184 1682282741600 1734854077275 1748514345600 1816865360928 1820174769600 1850511015760 1892568084300 1917996062400 1967078638800 1985645203200 2018739289920 2047696615800 2081824892730 2098217214720 2184209723520 2220613218912 2271081701160 2313138769700 2422487147904 2426899692800 2498189871276 2523424112400 2557328083200 2621051668224 2622771518400 2691652386560 2730262154400 2775766523640 2838852126450 2861205292800 2960817625216 2978467804800 3028108934880 3122737339095 3147325822080 3276314585280 3330919828368 3364565483200 3469708154550 3497028691200 3633730721856 3640349539200 3701022031520 3785136168600 3835992124800 3934157277600 4037478579840 4095393231600 4163649785460 4368419447040 4441226437824 4542163402320 4626277539400 4844974295808 4996379742552 5046848224800 5204562231825 5245543036800 5460524308800 5551533047280 5677704252900 5921635250432 5956935609600 6056217869760 6245474678190 6294651644160 6552629170560 6661839656736 6729130966400 6939416309100 7267461443712 7280699078400 7402044063040 7570272337200 7671984249600 7868314555200 8074957159680 8190786463200 8327299570920 8882452875648 9084326804640 9252555078800 9992759485104 10093696449600 10409124463650 10491086073600 10921048617600 11103066094560 11355408505800 12112435739520 12490949356380 13105258341120 13323679313472 13458261932800 13878832618200 14534922887424 14804088126080 15140544674400 15613686695475 15736629110400 16381572926400 16654599141840 17764905751296 18168653609280 18505110157600 19985518970208 20187392899200 20818248927300 21842097235200 22206132189120 22710817011600 24224871479040 24981898712760 26647358626944 27757665236400 29608176252160 30281089348800 31227373390950 31473258220800 32763145852800 33309198283680 36337307218560 37010220315200 39971037940416 40374785798400 41636497854600 44412264378240 45421634023200 49963797425520 53294717253888 55515330472800 60562178697600 62454746781900 65526291705600 66618396567360 72674614437120 74020440630400 79942075880832 83272995709200 88824528756480 90843268046400 99927594851040 111030660945600 121124357395200 124909493563800 133236793134720 148040881260800 159884151761664 166545991418400 181686536092800 199855189702080 222061321891200 249818987127600 266473586269440 333091982836800 363373072185600 399710379404160 444122643782400 499637974255200 666183965673600 799420758808320 999275948510400 1332367931347200 1998551897020800 3997103794041600
- Sum of all divisors σ(n): 16411010134794240
- Sum of proper divisors (its aliquot sum) s(n): 12413906340752640
- 3997103794041600 is an abundant number, because the sum of its proper divisors (12413906340752640) is greater than itself. Its abundance is 8416802546711040
Bases of 3997103794041600
- Binary: 11100011001101011000001111111100011000110011000000002
- Hexadecimal: 0xE33583FC63300
- Base-36: 13CUS4ST6O0
Squares and roots of 3997103794041600
- 3997103794041600 squared (39971037940416002) is 15976838740341753471662530560000
- 3997103794041600 cubed (39971037940416003) is 63861082745810840149793189333438105911296000000
-
The
square root of 3997103794041600 is 63222652.5387981487 -
The
cube root of 3997103794041600 is 158701.7839432687
Scales and comparisons
How big is 3997103794041600?- 3,997,103,794,041,600 seconds is equal to 127,095,536 years, 41 weeks, 3 days.
-
To count from 1 to 3,997,103,794,041,600 would take you about three hundred eighty-one million, two hundred eighty-six thousand, six hundred ten 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 3997103794041600 cubic inches would be around 13225.1 feet tall.
Recreational maths with 3997103794041600
- 3997103794041600 backwards is 0061404973017993
- The number of decimal digits it has is: 16
- The sum of 3997103794041600's digits is 63
- More coming soon!
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Cite this page
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"Number 3997103794041600 - Facts about the integer". Numbermatics.com. 2024. Web. 21 June 2024.
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Numbermatics. (2024). Number 3997103794041600 - Facts about the integer. Retrieved 21 June 2024, from https://numbermatics.com/n/3997103794041600/
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The information we have on file for 3997103794041600 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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