400664296133920
400,664,296,133,920 is an even composite number composed of five prime numbers multiplied together.
What does the number 400664296133920 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 1080 divisors.
400664296133920 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one thousand and eighty divisors.
Prime factorization of 400664296133920:
25 × 5 × 74 × 135 × 532
(2 × 2 × 2 × 2 × 2 × 5 × 7 × 7 × 7 × 7 × 13 × 13 × 13 × 13 × 13 × 53 × 53)See below for interesting mathematical facts about the number 400664296133920 from the Numbermatics database.
Names of 400664296133920
- Cardinal: 400664296133920 can be written as Four hundred trillion, six hundred sixty-four billion, two hundred ninety-six million, one hundred thirty-three thousand, nine hundred twenty.
Scientific notation
- Scientific notation: 4.0066429613392 × 1014
Factors of 400664296133920
Divisors of 400664296133920
- Number of divisors d(n): 1080
-
Complete list of divisors:
1 2 4 5 7 8 10 13 14 16 20 26 28 32 35 40 49 52 53 56 65 70 80 91 98 104 106 112 130 140 160 169 182 196 208 212 224 245 260 265 280 338 343 364 371 392 416 424 455 490 520 530 560 637 676 686 689 728 742 784 845 848 910 980 1040 1060 1120 1183 1274 1352 1372 1378 1456 1484 1568 1690 1696 1715 1820 1855 1960 2080 2120 2197 2366 2401 2548 2597 2704 2744 2756 2809 2912 2968 3185 3380 3430 3445 3640 3710 3920 4240 4394 4459 4732 4802 4823 5096 5194 5408 5488 5512 5618 5915 5936 6370 6760 6860 6890 7280 7420 7840 8281 8480 8788 8918 8957 9464 9604 9646 10192 10388 10976 10985 11024 11236 11830 11872 12005 12740 12985 13520 13720 13780 14045 14560 14840 15379 16562 17576 17836 17914 18179 18928 19208 19292 19663 20384 20776 21970 22048 22295 22472 23660 24010 24115 25480 25970 27040 27440 27560 28090 28561 29680 30758 31213 33124 33761 35152 35672 35828 36358 36517 37856 38416 38584 39326 41405 41552 43940 44590 44785 44944 47320 48020 48230 50960 51940 54880 55120 56180 57122 57967 59360 61516 62426 62699 66248 67522 70304 71344 71656 72716 73034 76832 76895 77168 78652 82810 83104 87880 89180 89570 89888 90895 94640 96040 96460 98315 101920 103880 107653 110240 112360 114244 115934 116441 123032 124852 125398 127253 132496 135044 137641 142688 142805 143312 145432 146068 153790 154336 156065 157304 165620 168805 175760 178360 179140 181790 182585 189280 192080 192920 196630 199927 207760 215306 224720 228488 231868 232882 236327 246064 249704 250796 254506 255619 264992 270088 275282 285610 286624 289835 290864 292136 307580 312130 313495 314608 331240 337610 351520 356720 358280 363580 365170 371293 384160 385840 393260 399854 405769 415520 430612 438893 449440 456976 463736 465764 472654 474721 492128 499408 501592 509012 511238 538265 540176 550564 571220 579670 581728 582205 584272 615160 624260 626990 629216 636265 662480 675220 688205 713440 716560 727160 730340 742586 753571 771680 786520 799708 811538 815087 861224 877786 913952 927472 931528 945308 949442 963487 998816 999635 1003184 1018024 1022476 1076530 1080352 1101128 1142440 1159340 1164410 1168544 1181635 1230320 1248520 1253980 1272530 1278095 1324960 1350440 1376410 1399489 1433120 1454320 1460680 1485172 1507142 1513733 1573040 1599416 1623076 1630174 1654289 1722448 1755572 1789333 1854944 1856465 1863056 1890616 1898884 1926974 1999270 2006368 2028845 2036048 2044952 2153060 2194465 2202256 2284880 2318680 2328820 2363270 2373605 2460640 2497040 2507960 2545060 2556190 2599051 2700880 2752820 2798978 2908640 2921360 2970344 3014284 3027466 3072251 3146080 3198832 3246152 3260348 3308578 3323047 3444896 3511144 3578666 3712930 3726112 3767855 3781232 3797768 3853948 3998540 4057690 4072096 4075435 4089904 4306120 4388930 4404512 4569760 4637360 4657640 4726540 4747210 4817435 4994080 5015920 5090120 5112380 5198102 5274997 5401760 5505640 5597956 5705609 5842720 5940688 6028568 6054932 6144502 6171373 6397664 6492304 6520696 6617156 6646094 6744409 6997445 7022288 7157332 7425860 7535710 7562464 7568665 7595536 7707896 7997080 8115380 8150870 8179808 8271445 8612240 8777860 8946665 9274720 9315280 9453080 9494420 9634870 9796423 10031840 10180240 10224760 10396204 10549994 10596131 11011280 11195912 11411218 11881376 12057136 12109864 12289004 12342746 12525331 12984608 12995255 13041392 13234312 13292188 13488818 13994890 14044576 14314664 14851720 15071420 15137330 15191072 15361255 15415792 15994160 16230760 16301740 16542890 16615235 17224480 17555720 17893330 18193357 18630560 18906160 18988840 19269740 19592846 19678529 20360480 20449520 20792408 21099988 21192262 21505757 22022560 22391824 22822436 23261329 24114272 24219728 24578008 24685492 25050662 25990510 26082784 26374985 26468624 26584376 26977636 27989780 28528045 28629328 29703440 30142840 30274660 30722510 30831584 30856865 31988320 32461520 32603480 33085780 33230470 33722045 35111440 35786660 36386714 37812320 37977680 38539480 39185692 39357058 39939263 40899040 41584816 42199976 42384524 43011514 43199611 44783648 45644872 46522658 48439456 48982115 49156016 49370984 50101324 51981020 52749970 52937248 52980655 53168752 53955272 55979560 57056090 57258656 59406880 60285680 60549320 61445020 61713730 62626655 64923040 65206960 66171560 66460940 67444090 68574961 70222880 71573320 72773428 74172917 75955360 77078960 78371384 78714116 79878526 80227849 83169632 84399952 84769048 86023028 86399222 87677317 90966785 91289744 93045316 97964230 98312032 98392645 98741968 100202648 103962040 105499940 105961310 106337504 107528785 107910544 111959120 114112180 116306645 120571360 121098640 122890040 123427460 125253310 127353499 130413920 132343120 132921880 134888180 137149922 137749703 143146640 145546856 148345834 154157920 156742768 157428232 159757052 160455698 162829303 168799904 169538096 172046056 172798444 175354634 181933570 182579488 186090632 195928460 196785290 197483936 199696315 200405296 207924080 210999880 211922620 215057570 215821088 215998055 223918240 228224360 232613290 242197280 245780080 246854920 250506620 254706998 264686240 265843760 269776360 274299844 275499406 279574841 286293280 291093712 296691668 302397277 313485536 314856464 319514104 320911396 325658606 339076192 342874805 344092112 345596888 350709268 363867140 370864585 372181264 391856920 393570580 399392630 400810592 401139245 415848160 421999760 423845240 430115140 431996110 438386585 456448720 465226580 491560160 493709840 501013240 509413996 519210419 531687520 539552720 548599688 550998812 559149682 561594943 582187424 593383336 604794554 629712928 636767495 639028208 641822792 651317212 685749610 688184224 688748515 691193776 701418536 727734280 741729170 744362528 783713840 787141160 798785260 802278490 814146515 843999520 847690480 860230280 863992220 876773170 891474493 912897440 930453160 964247921 987419680 1002026480 1018827992 1038420838 1042962037 1079105440 1097199376 1101997624 1118299364 1123189886 1139805121 1186766672 1209589108 1273534990 1278056416 1283645584 1302634424 1371499220 1377497030 1382387552 1397874205 1402837072 1455468560 1483458340 1511986385 1567427680 1574282320 1597570520 1604556980 1628293030 1695380960 1720460560 1727984440 1753546340 1782948986 1860906320 1928495842 2004052960 2037655984 2076841676 2085924074 2116780939 2194398752 2203995248 2236598728 2246379772 2279610242 2373533344 2419178216 2547069980 2567291168 2596052095 2605268848 2742998440 2754994060 2795748410 2805674144 2807974715 2910937120 2966916680 3023972770 3148564640 3195141040 3209113960 3256586060 3440921120 3455968880 3507092680 3565897972 3634472933 3721812640 3856991684 3931164601 4075311968 4153683352 4171848148 4233561878 4407990496 4457372465 4473197456 4492759544 4559220484 4821239605 4838356432 5094139960 5192104190 5210537696 5214810185 5485996880 5509988120 5591496820 5615949430 5699025605 5933833360 6047945540 6390282080 6418227920 6513172120 6749735447 6911937760 7014185360 7131795944 7268945866 7300734259 7713983368 7862329202 8307366704 8343696296 8467123756 8914744930 8946394912 8985519088 9118440968 9642479210 9676712864 10188279920 10384208380 10429620370 10583904695 10971993760 11019976240 11182993640 11231898860 11398051210 11867666720 12095891080 12836455840 13026344240 13499470894 14028370720 14263591888 14537891732 14601468518 14817466573 15427966736 15724658404 16614733408 16687392592 16934247512 17829489860 17971038176 18172364665 18236881936 19284958420 19655823005 20376559840 20768416760 20859240740 21167809390 22039952480 22365987280 22463797720 22796102420 24191782160 26052688480 26998941788 27518152207 28527183776 29075783464 29202937036 29634933146 30855933472 31449316808 33374785184 33748677235 33868495024 35658979720 36344729330 36473763872 36503671295 38569916840 39311646010 41536833520 41718481480 42335618780 44731974560 44927595440 45592204840 47248148129 48383564320 51105139813 53997883576 55036304414 58151566928 58405874072 59269866292 62898633616 67497354470 67736990048 71317959440 72689458660 73007342590 74087332865 77139833680 78623292020 83073667040 83436962960 84671237560 89855190880 91184409680 94496296258 102210279626 107995767152 110072608828 116303133856 116811748144 118539732584 125797267232 134994708940 137590761035 142635918880 145378917320 146014685180 148174665730 154279667360 157246584040 166873925920 169342475120 182368819360 188992592516 192627065449 204420559252 215991534304 220145217656 233623496288 236240740645 237079465168 255525699065 269989417880 275181522070 290757834640 292029370360 296349331460 314493168080 338684950240 357735978691 377985185032 385254130898 408841118504 440290435312 472481481290 474158930336 511051398130 539978835760 550363044140 581515669280 584058740720 592698662920 628986336160 715471957382 755970370064 770508261796 817682237008 880580870624 944962962580 963135327245 1022102796260 1079957671520 1100726088280 1168117481440 1185397325840 1430943914764 1511940740128 1541016523592 1635364474016 1788679893455 1889925925160 1926270654490 2044205592520 2201452176560 2370794651680 2504151850837 2861887829528 3082033047184 3577359786910 3779851850320 3852541308980 4088411185040 4402904353120 5008303701674 5723775659056 6164066094368 7154719573820 7559703700640 7705082617960 8176822370080 10016607403348 11447551318112 12520759254185 14309439147640 15410165235920 20033214806696 25041518508370 28618878295280 30820330471840 40066429613392 50083037016740 57237756590560 80132859226784 100166074033480 200332148066960 400664296133920
- Sum of all divisors σ(n): 1219284448278876
- Sum of proper divisors (its aliquot sum) s(n): 818620152144956
- 400664296133920 is an abundant number, because the sum of its proper divisors (818620152144956) is greater than itself. Its abundance is 417955856011036
Bases of 400664296133920
- Binary: 10110110001100110111011010000101110010101001000002
- Hexadecimal: 0x16C66ED0B9520
- Base-36: 3Y0UMX2M1S
Squares and roots of 400664296133920
- 400664296133920 squared (4006642961339202) is 160531878196489541058574566400
- 400664296133920 cubed (4006642961339203) is 64319391984652660767670752748725560332288000
-
The
square root of 400664296133920 is 20016600.5139214387 -
The
cube root of 400664296133920 is 73721.3955454821
Scales and comparisons
How big is 400664296133920?- 400,664,296,133,920 seconds is equal to 12,739,885 years, 14 weeks, 4 days, 6 hours, 58 minutes, 40 seconds.
-
To count from 1 to 400,664,296,133,920 would take you about thirty-one million, eight hundred forty-nine thousand, seven hundred thirteen 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 400664296133920 cubic inches would be around 6143.4 feet tall.
Recreational maths with 400664296133920
- 400664296133920 backwards is 029331692466004
- The number of decimal digits it has is: 15
- The sum of 400664296133920's digits is 55
- 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 400664296133920 - Facts about the integer". Numbermatics.com. 2024. Web. 21 June 2024.
APA style:
Numbermatics. (2024). Number 400664296133920 - Facts about the integer. Retrieved 21 June 2024, from https://numbermatics.com/n/400664296133920/
Chicago style:
Numbermatics. 2024. "Number 400664296133920 - Facts about the integer". https://numbermatics.com/n/400664296133920/
The information we have on file for 400664296133920 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 400664296133920, math, Factors of 400664296133920, curriculum, school, college, exams, university, Prime factorization of 400664296133920, STEM, science, technology, engineering, physics, economics, calculator, four hundred trillion, six hundred sixty-four billion, two hundred ninety-six million, one hundred thirty-three thousand, nine hundred twenty.