238608221384448
238,608,221,384,448 is an even composite number composed of five prime numbers multiplied together.
238608221384448 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of eight hundred sixty-four divisors.
Prime factorization of 238608221384448:
28 × 32 × 233 × 293 × 349
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 23 × 23 × 23 × 29 × 29 × 29 × 349)See below for interesting mathematical facts about the number 238608221384448 from the Numbermatics database.
Names of 238608221384448
- Cardinal: 238608221384448 can be written as Two hundred thirty-eight trillion, six hundred eight billion, two hundred twenty-one million, three hundred eighty-four thousand, four hundred forty-eight.
Scientific notation
- Scientific notation: 2.38608221384448 × 1014
Factors of 238608221384448
Divisors of 238608221384448
- Number of divisors d(n): 864
-
Complete list of divisors:
1 2 3 4 6 8 9 12 16 18 23 24 29 32 36 46 48 58 64 69 72 87 92 96 116 128 138 144 174 184 192 207 232 256 261 276 288 348 349 368 384 414 464 522 529 552 576 667 696 698 736 768 828 841 928 1044 1047 1058 1104 1152 1334 1392 1396 1472 1587 1656 1682 1856 2001 2088 2094 2116 2208 2304 2523 2668 2784 2792 2944 3141 3174 3312 3364 3712 4002 4176 4188 4232 4416 4761 5046 5336 5568 5584 5888 6003 6282 6348 6624 6728 7424 7569 8004 8027 8352 8376 8464 8832 9522 10092 10121 10672 11136 11168 12006 12167 12564 12696 13248 13456 15138 15341 16008 16054 16704 16752 16928 17664 19044 19343 20184 20242 21344 22272 22336 24012 24081 24334 24389 25128 25392 26496 26912 30276 30363 30682 32016 32108 33408 33504 33856 36501 38088 38686 40368 40484 42688 44672 46023 48024 48162 48668 48778 50256 50784 52992 53824 58029 60552 60726 61364 64032 64216 66816 67008 67712 72243 73002 73167 76176 77372 80736 80968 85376 89344 91089 92046 96048 96324 97336 97556 100512 101568 107648 109503 116058 121104 121452 122728 128064 128432 134016 135424 138069 144486 146004 146334 152352 154744 161472 161936 170752 174087 182178 184092 184621 192096 192648 194672 195112 201024 203136 215296 219006 219501 232116 232783 242208 242904 245456 256128 256864 268032 276138 288972 292008 292668 293509 304704 309488 322944 323872 348174 352843 364356 368184 369242 384192 385296 389344 390224 402048 406272 438012 439002 444889 464232 465566 484416 485808 490912 512256 513728 552276 553863 560947 577944 584016 585336 587018 609408 618976 645888 647744 696348 698349 705686 728712 736368 738484 768384 770592 778688 780448 804096 876024 878004 880527 889778 928464 931132 968832 971616 981824 1027456 1058529 1104552 1107726 1121894 1155888 1168032 1170672 1174036 1218816 1237952 1295488 1334667 1392696 1396698 1411372 1457424 1472736 1476968 1536768 1541184 1557376 1560896 1661589 1682841 1752048 1756008 1761054 1779556 1856928 1862264 1937664 1943232 1963648 2054912 2095047 2117058 2209104 2215452 2243788 2311776 2336064 2341344 2348072 2475904 2590976 2641581 2669334 2785392 2793396 2822744 2914848 2945472 2953936 3082368 3114752 3121792 3175587 3323178 3365682 3504096 3512016 3522108 3559112 3713856 3724528 3886464 3927296 4004001 4190094 4234116 4246283 4418208 4430904 4487576 4623552 4672128 4682688 4696144 4951808 5048523 5283162 5338668 5354009 5570784 5586792 5645488 5829696 5890944 5907872 6164736 6243584 6351174 6646356 6731364 6750707 7008192 7024032 7044216 7118224 7427712 7449056 7772928 8008002 8380188 8468232 8492566 8511761 8836416 8861808 8975152 9247104 9344256 9365376 9392288 10097046 10232447 10566324 10677336 10708018 11141568 11173584 11290976 11659392 11781888 11815744 12702348 12738849 12901781 13292712 13462728 13501414 14016384 14048064 14088432 14236448 14855424 14898112 16016004 16062027 16760376 16936464 16985132 17023522 17672832 17723616 17950304 18494208 18730752 18784576 20194092 20252121 20464894 21132648 21354672 21416036 22283136 22347168 22581952 23318784 23631488 25404696 25477698 25535283 25803562 26585424 26925456 27002828 28032768 28096128 28176864 28472896 29796224 30697341 32032008 32124054 33520752 33872928 33970264 34047044 35345664 35447232 35900608 37569152 38216547 38705343 40388184 40504242 40929788 42265296 42709344 42832072 44566272 44694336 45163904 47262976 48186081 50809392 50955396 51070566 51607124 53170848 53850912 54005656 56192256 56353728 56945792 59592448 60756363 61394682 64064016 64248108 67041504 67745856 67940528 68094088 70894464 71801216 75138304 76433094 76605849 77410686 80776368 81008484 81859576 84530592 85418688 85664144 89388672 90327808 92092023 96372162 101618784 101910792 102141132 103214248 106341696 107701824 108011312 112707456 113891584 116116029 121512726 122789364 123142207 128128032 128496216 134083008 135491712 135881056 136188176 141788928 143602432 152866188 153211698 154821372 155266261 161552736 162016968 163719152 169061184 170837376 171328288 178777344 184184046 192744324 195770503 203237568 203821584 204282264 206428496 212683392 215403648 216022624 225414912 232232058 243025452 245578728 246284414 256256064 256992432 268166016 270983424 271762112 272376352 296740963 305732376 306423396 309642744 310532522 323105472 324033936 327438304 338122368 341674752 342656576 368368092 369426621 385488648 391541006 406475136 407643168 408564528 412856992 425366784 430807296 432045248 464464116 465798783 486050904 491157456 492568828 512512128 513984864 536332032 543524224 544752704 587311509 593481926 611464752 612846792 619285488 621065044 646210944 648067872 654876608 676244736 685313152 736736184 738853242 770977296 783082012 812950272 815286336 817129056 825713984 864090496 890222889 928928232 931597566 972101808 982314912 985137656 1025024256 1027969728 1087048448 1089505408 1108279863 1174623018 1186963852 1222929504 1225693584 1238570976 1242130088 1292421888 1296135744 1309753216 1370626304 1397396349 1473472368 1477706484 1541954592 1566164024 1630572672 1634258112 1651427968 1728180992 1761934527 1780445778 1857856464 1863195132 1944203616 1964629824 1970275312 2055939456 2179010816 2216559726 2349246036 2373927704 2445859008 2451387168 2477141952 2484260176 2592271488 2619506432 2670668667 2794792698 2946944736 2955412968 3083909184 3132328048 3261145344 3268516224 3302855936 3523869054 3560891556 3571124003 3715712928 3726390264 3888407232 3929259648 3940550624 4111878912 4433119452 4502721569 4698492072 4747855408 4891718016 4902774336 4954283904 4968520352 5184542976 5341337334 5589585396 5893889472 5910825936 6167818368 6264656096 6537032448 7047738108 7121783112 7142248006 7431425856 7452780528 7776814464 7858519296 7881101248 8866238904 9005443138 9396984144 9495710816 9783436032 9805548672 9908567808 9937040704 10682674668 10713372009 11179170792 11787778944 11821651872 12335636736 12529312192 13508164707 14095476216 14243566224 14284496012 14862851712 14905561056 15553628928 15762202496 17732477808 18010886276 18793968288 18991421632 19611097344 19874081408 21365349336 21426744018 22358341584 23575557888 23643303744 25058624384 27016329414 28190952432 28487132448 28568992024 29725703424 29811122112 31524404992 32140116027 35464955616 36021772552 37587936576 37982843264 39748162816 40524494121 42730698672 42853488036 44716683168 47286607488 50117248768 54032658828 56381904864 56974264896 57137984048 59622244224 64280232054 70929911232 72043545104 75175873152 75965686528 81048988242 85461397344 85706976072 89433366336 94573214976 103562596087 108065317656 112763809728 113948529792 114275968096 119244488448 128560464108 141859822464 144087090208 150351746304 162097976484 170922794688 171413952144 178866732672 207125192174 216130635312 225527619456 227897059584 228551936192 257120928216 283719644928 288174180416 310687788261 324195952968 341845589376 342827904288 357733465344 414250384348 432261270624 451055238912 457103872384 514241856432 576348360832 621375576522 648391905936 683691178752 685655808576 828500768696 864522541248 914207744768 932063364783 1028483712864 1152696721664 1242751153044 1296783811872 1371311617152 1657001537392 1729045082496 1864126729566 2056967425728 2485502306088 2593567623744 2742623234304 3314003074784 3458090164992 3728253459132 4113934851456 4971004612176 5187135247488 6628006149568 7456506918264 8227869702912 9942009224352 10374270494976 13256012299136 14913013836528 19884018448704 26512024598272 29826027673056 39768036897408 59652055346112 79536073794816 119304110692224 238608221384448
- Sum of all divisors σ(n): 747055305360000
- Sum of proper divisors (its aliquot sum) s(n): 508447083975552
- 238608221384448 is an abundant number, because the sum of its proper divisors (508447083975552) is greater than itself. Its abundance is 269838862591104
Bases of 238608221384448
- Binary: 1101100100000011010011100100011010101111000000002
- Hexadecimal: 0xD9034E46AF00
- Base-36: 2CKV3QBWG0
Squares and roots of 238608221384448
- 238608221384448 squared (2386082213844482) is 56933883312249747841816264704
- 238608221384448 cubed (2386082213844483) is 13584892633645617411862159388177110916923392
-
The
square root of 238608221384448 is 15446948.6107919709 -
The
cube root of 238608221384448 is 62024.2899436233
Scales and comparisons
How big is 238608221384448?- 238,608,221,384,448 seconds is equal to 7,587,003 years, 19 weeks, 3 days, 23 hours, 40 minutes, 48 seconds.
-
To count from 1 to 238,608,221,384,448 would take you about eighteen million, nine hundred sixty-seven thousand, five hundred 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 238608221384448 cubic inches would be around 5168.7 feet tall.
Recreational maths with 238608221384448
- 238608221384448 backwards is 844483122806832
- The number of decimal digits it has is: 15
- The sum of 238608221384448's digits is 63
- More coming soon!
Link to this page
HTML: To link to this page, just copy and paste the link below into your blog, web page or email.
BBCODE: To link to this page in a forum post or comment box, just copy and paste the link code below:
Cite this page
MLA style:
"Number 238608221384448 - Facts about the integer". Numbermatics.com. 2024. Web. 22 May 2024.
APA style:
Numbermatics. (2024). Number 238608221384448 - Facts about the integer. Retrieved 22 May 2024, from https://numbermatics.com/n/238608221384448/
Chicago style:
Numbermatics. 2024. "Number 238608221384448 - Facts about the integer". https://numbermatics.com/n/238608221384448/
The information we have on file for 238608221384448 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!
Keywords: Divisors of 238608221384448, math, Factors of 238608221384448, curriculum, school, college, exams, university, Prime factorization of 238608221384448, STEM, science, technology, engineering, physics, economics, calculator, two hundred thirty-eight trillion, six hundred eight billion, two hundred twenty-one million, three hundred eighty-four thousand, four hundred forty-eight.