388630256032992000
388,630,256,032,992,000 is an even composite number composed of seven prime numbers multiplied together.
What does the number 388630256032992000 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 1728 divisors.
388630256032992000 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of one thousand, seven hundred twenty-eight divisors.
Prime factorization of 388630256032992000:
28 × 3 × 53 × 31 × 41 × 307 × 32212
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 5 × 31 × 41 × 307 × 3221 × 3221)See below for interesting mathematical facts about the number 388630256032992000 from the Numbermatics database.
Names of 388630256032992000
- Cardinal: 388630256032992000 can be written as Three hundred eighty-eight quadrillion, six hundred thirty trillion, two hundred fifty-six billion, thirty-two million, nine hundred ninety-two thousand.
Scientific notation
- Scientific notation: 3.88630256032992 × 1017
Factors of 388630256032992000
Divisors of 388630256032992000
- Number of divisors d(n): 1728
-
Complete list of divisors:
1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 31 32 40 41 48 50 60 62 64 75 80 82 93 96 100 120 123 124 125 128 150 155 160 164 186 192 200 205 240 246 248 250 256 300 307 310 320 328 372 375 384 400 410 465 480 492 496 500 600 614 615 620 640 656 744 750 768 775 800 820 921 930 960 984 992 1000 1025 1200 1228 1230 1240 1271 1280 1312 1488 1500 1535 1550 1600 1640 1842 1860 1920 1968 1984 2000 2050 2325 2400 2456 2460 2480 2542 2624 2976 3000 3070 3075 3100 3200 3221 3280 3684 3720 3813 3840 3875 3936 3968 4000 4100 4605 4650 4800 4912 4920 4960 5084 5125 5248 5952 6000 6140 6150 6200 6355 6400 6442 6560 7368 7440 7626 7675 7750 7872 7936 8000 8200 9210 9300 9517 9600 9663 9824 9840 9920 10168 10250 10496 11625 11904 12000 12280 12300 12400 12587 12710 12884 13120 14736 14880 15252 15350 15375 15500 15744 16000 16105 16400 18420 18600 19034 19065 19200 19326 19648 19680 19840 20336 20500 23025 23250 23808 24000 24560 24600 24800 25174 25420 25768 26240 28551 29472 29760 30504 30700 30750 31000 31488 31775 32000 32210 32800 36840 37200 37761 38068 38130 38375 38652 39296 39360 39680 40672 41000 46050 46500 47585 48000 48315 49120 49200 49600 50348 50840 51536 52480 57102 58944 59520 61008 61400 61500 62000 62935 63550 64420 65600 73680 74400 75522 76136 76260 76750 77304 78592 78720 80525 81344 82000 92100 93000 95170 95325 96000 96630 98240 98400 99200 99851 100696 101680 103072 114204 115125 117888 119040 122016 122800 123000 124000 125870 127100 128840 131200 132061 142755 147360 148800 151044 152272 152520 153500 154608 157440 158875 161050 162688 164000 184200 186000 188805 190340 190650 193260 196480 196800 198400 199702 201392 203360 206144 228408 230250 235776 237925 241575 244032 245600 246000 248000 251740 254200 257680 262400 264122 285510 294720 297600 299553 302088 304544 305040 307000 309216 314675 317750 322100 325376 328000 368400 372000 377610 380680 381300 386520 390197 392960 393600 396183 399404 402625 402784 406720 412288 456816 460500 475850 476625 483150 488064 491200 492000 496000 499255 503480 508400 515360 528244 571020 589440 595200 599106 604176 609088 610080 614000 618432 629350 635500 644200 656000 660305 713775 736800 744000 755220 761360 762600 773040 780394 787200 792366 798808 805250 805568 813440 824576 913632 921000 944025 951700 953250 966300 976128 982400 984000 988847 992000 998510 1006960 1016800 1030720 1056488 1142040 1170591 1178880 1189625 1198212 1207875 1208352 1218176 1220160 1228000 1236864 1258700 1271000 1288400 1312000 1320610 1427550 1473600 1488000 1497765 1510440 1522720 1525200 1546080 1560788 1573375 1584732 1597616 1610500 1611136 1626880 1827264 1842000 1888050 1903400 1906500 1932600 1950985 1964800 1968000 1977694 1980915 1997020 2013920 2033600 2061440 2112976 2284080 2341182 2379250 2396424 2415750 2416704 2436352 2440320 2456000 2473728 2496275 2517400 2542000 2576800 2641220 2855100 2947200 2966541 2976000 2995530 3020880 3045440 3050400 3092160 3121576 3146750 3169464 3195232 3221000 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7405302134775 7540947222000 7644182848800 7718881704000 7835287420020 7898988943760 7911853746600 8043677036800 8096463667354 8167074835200 8357639914688 8439310663040 9478786732512 9555228561000 9794109275025 9873736179700 9889817183250 10054596296000 10127172795648 10192243798400 10208843544000 10291842272000 10447049893360 10549138328800 11848483415640 12065515555200 12144695501031 12230692558080 12342170224625 12536459872032 12638382310016 12658965994560 12740304748000 13058812366700 13186422911000 13611791392000 14810604269550 15081894444000 15288365697600 15437763408000 15670574840040 15797977887520 15823707493200 16192927334708 16323515458375 16715279829376 16878621326080 18957573465024 19110457122000 19588218550050 19747472359400 19779634366500 20109192592000 20241159168385 20384487596800 20417687088000 20894099786720 21098276657600 23696966831280 24131031110400 24289391002062 24684340449250 25072919744064 25276764620032 25317931989120 25480609496000 26117624733400 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130588123667000 148106042695500 152883656976000 156705748400400 157979778875200 158237074932000 161929273347080 167152798293760 189575734650240 194315128016496 195882185500500 197474723594000 202411591683850 208940997867200 210982766576000 236969668312800 242893910020620 250729197440640 253179319891200 259086837355328 261176247334000 296212085391000 303617387525775 305767313952000 313411496800800 315959557750400 316474149864000 323858546694160 379151469300480 388630256032992 391764371001000 394949447188000 404823183367700 417881995734400 421965533152000 473939336625600 485787820041240 501458394881280 506028979209625 518173674710656 522352494668000 592424170782000 607234775051550 626822993601600 631919115500800 632948299728000 647717093388320 777260512065984 783528742002000 789898894376000 809646366735400 835763991468800 947878673251200 971575640082480 1012057958419250 1036347349421312 1044704989336000 1184848341564000 1214469550103100 1253645987203200 1265896599456000 1295434186776640 1518086937628875 1554521024131968 1567057484004000 1579797788752000 1619292733470800 1895757346502400 1943151280164960 2024115916838500 2089409978672000 2369696683128000 2428939100206200 2507291974406400 2590868373553280 3036173875257750 3109042048263936 3134114968008000 3159595577504000 3238585466941600 3886302560329920 4048231833677000 4178819957344000 4739393366256000 4857878200412400 5181736747106560 6072347750515500 6268229936016000 6477170933883200 7772605120659840 8096463667354000 9478786732512000 9715756400824800 12144695501031000 12536459872032000 12954341867766400 15545210241319680 16192927334708000 19431512801649600 24289391002062000 25908683735532800 32385854669416000 38863025603299200 48578782004124000 64771709338832000 77726051206598400 97157564008248000 129543418677664000 194315128016496000 388630256032992000
- Sum of all divisors σ(n): 1369846100546187264
- Sum of proper divisors (its aliquot sum) s(n): 981215844513195264
- 388630256032992000 is an abundant number, because the sum of its proper divisors (981215844513195264) is greater than itself. Its abundance is 592585588480203264
Bases of 388630256032992000
- Binary: 101011001001011000100101000101001111101000011001011000000002
- Hexadecimal: 0x564B128A7D0CB00
- Base-36: 2YALXEXE6MTC
Squares and roots of 388630256032992000
- 388630256032992000 squared (3886302560329920002) is 151033475904268914812992472064000000
- 388630256032992000 cubed (3886302560329920003) is 58696178410228756293649096581815416022335488000000000
-
The
square root of 388630256032992000 is 623402162.3582901883 -
The
cube root of 388630256032992000 is 729758.0082571809
Scales and comparisons
How big is 388630256032992000?- 388,630,256,032,992,000 seconds is equal to 12,357,240,029 years, 28 weeks, 5 hours, 20 minutes.
-
To count from 1 to 388,630,256,032,992,000 would take you about thirty-seven billion, seventy-one million, seven hundred twenty thousand and eighty-eight 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 388630256032992000 cubic inches would be around 60813.2 feet tall.
Recreational maths with 388630256032992000
- 388630256032992000 backwards is 000299230652036883
- The number of decimal digits it has is: 18
- The sum of 388630256032992000's digits is 66
- More coming soon!
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MLA style:
"Number 388630256032992000 - Facts about the integer". Numbermatics.com. 2024. Web. 18 June 2024.
APA style:
Numbermatics. (2024). Number 388630256032992000 - Facts about the integer. Retrieved 18 June 2024, from https://numbermatics.com/n/388630256032992000/
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Numbermatics. 2024. "Number 388630256032992000 - Facts about the integer". https://numbermatics.com/n/388630256032992000/
The information we have on file for 388630256032992000 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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