442986064011400
442,986,064,011,400 is an even composite number composed of seven prime numbers multiplied together.
442986064011400 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of nine hundred sixty divisors.
Prime factorization of 442986064011400:
23 × 52 × 74 × 13 × 19 × 227 × 16453
(2 × 2 × 2 × 5 × 5 × 7 × 7 × 7 × 7 × 13 × 19 × 227 × 16453)See below for interesting mathematical facts about the number 442986064011400 from the Numbermatics database.
Names of 442986064011400
- Cardinal: 442986064011400 can be written as Four hundred forty-two trillion, nine hundred eighty-six billion, sixty-four million, eleven thousand, four hundred.
Scientific notation
- Scientific notation: 4.429860640114 × 1014
Factors of 442986064011400
Divisors of 442986064011400
- Number of divisors d(n): 960
-
Complete list of divisors:
1 2 4 5 7 8 10 13 14 19 20 25 26 28 35 38 40 49 50 52 56 65 70 76 91 95 98 100 104 130 133 140 152 175 182 190 196 200 227 245 247 260 266 280 325 343 350 364 380 392 454 455 475 490 494 520 532 637 650 665 686 700 728 760 908 910 931 950 980 988 1064 1135 1225 1235 1274 1300 1330 1372 1400 1589 1715 1729 1816 1820 1862 1900 1960 1976 2270 2275 2401 2450 2470 2548 2600 2660 2744 2951 3178 3185 3325 3430 3458 3640 3724 3800 4313 4459 4540 4550 4655 4802 4900 4940 5096 5320 5675 5902 6175 6356 6370 6517 6650 6860 6916 7448 7945 8575 8626 8645 8918 9080 9100 9310 9604 9800 9880 11123 11350 11804 12005 12103 12350 12712 12740 13034 13300 13720 13832 14755 15890 15925 16453 17150 17252 17290 17836 18200 18620 19208 20657 21565 22246 22295 22700 23275 23608 24010 24206 24700 25480 26068 26600 29510 30191 31213 31780 31850 32585 32906 34300 34504 34580 35672 37240 39725 41314 43130 43225 44492 44590 45400 45619 46550 48020 48412 49400 52136 55615 56069 59020 60025 60382 60515 62426 63560 63700 65170 65812 68600 69160 73775 77861 79450 82265 82628 84721 86260 86450 88984 89180 91238 93100 96040 96824 103285 107825 111230 111475 112138 115171 118040 120050 120764 121030 124852 127400 130340 131624 144599 147550 150955 155722 156065 158900 162925 164530 165256 169442 172520 172900 178360 182476 186200 206570 211337 213889 215650 222460 222950 224276 228095 230342 240100 241528 242060 249704 260680 278075 280345 289198 295100 301910 302575 311444 312130 312607 317800 325850 329060 338884 345800 364952 389305 392483 411325 413140 422674 423605 427778 431300 444920 445900 448552 456190 460684 480200 484120 516425 545027 556150 560690 575855 578396 590200 593047 603820 605150 622888 624260 625214 651700 658120 677768 722995 754775 778610 780325 784966 806197 822650 826280 845348 847210 855556 862600 891800 912380 921368 1012193 1032850 1056685 1069445 1090054 1112300 1121380 1140475 1151710 1156792 1186094 1207640 1210300 1248520 1250428 1303400 1401725 1445990 1479359 1497223 1509550 1557220 1560650 1563035 1569932 1612394 1645300 1690696 1694420 1711112 1824760 1946525 1962415 2024386 2065700 2113370 2118025 2138890 2180108 2188249 2224600 2242760 2280950 2303420 2372188 2420600 2500856 2725135 2747381 2803450 2879275 2891980 2958718 2965235 2994446 3019100 3114440 3121300 3126070 3139864 3224788 3290600 3388840 3614975 3734831 3893050 3924830 4030985 4048772 4063891 4131400 4226740 4236050 4277780 4360216 4376498 4561900 4606840 4744376 5060965 5283425 5347225 5450270 5494762 5606900 5643379 5758550 5783960 5917436 5930470 5988892 6038200 6242600 6252140 6449576 7085351 7229950 7396795 7469662 7486115 7786100 7815175 7849660 8061970 8097544 8127782 8453480 8472100 8555560 8752996 9123800 9812075 10121930 10355513 10480561 10566850 10694450 10900540 10941245 10989524 11213800 11286758 11517100 11834872 11860940 11977784 12504280 13625675 13736905 14170702 14459900 14793590 14826175 14939324 14972230 15317743 15572200 15630350 15699320 16123940 16255564 16944200 17505992 18674155 19231667 19624150 20154925 20243860 20319455 20711026 20961122 21133700 21388900 21801080 21882490 21979048 22573516 23034200 23721880 25304825 26143817 27251350 27473810 28216895 28341404 28447237 28919800 29587180 29652350 29878648 29944460 30635486 31260700 32247880 32511128 35426755 36983975 37348310 37430575 38463334 39248300 39503653 40309850 40487720 40638910 41422052 41922244 42267400 42777800 43764980 45147032 48552803 50609650 51777565 52287634 52402805 54502700 54706225 54947620 56433790 56682808 56894474 59174360 59304700 59888920 61270972 62521400 68684525 70853510 70961789 73363927 73967950 74696620 74861150 76588715 76926668 78496600 79007306 80619700 81277820 82844104 83844488 87529960 93370775 96158335 97105606 101219300 101597275 103555130 104575268 104805610 107224201 109005400 109412450 109895240 112867580 113788948 118609400 122541944 130719085 134621669 137369050 141084475 141707020 141923578 142236185 146727854 147935900 149393240 149722300 153177430 153853336 158014612 161239400 162555640 177133775 183006719 186741550 192316670 194211212 197518265 199130659 202438600 203194550 207110260 209150536 209611220 214448402 218824900 225735160 227577896 242764015 258887825 261438170 262014025 269243338 274738100 282168950 283414040 283847156 284472370 293455708 295871800 299444600 306354860 316029224 339869621 354267550 354808945 366013438 366819635 373483100 382943575 384633340 388422424 395036530 398261318 406389100 414220520 419222440 428896804 437649800 480791675 485528030 496732523 513547489 517775650 522876340 524028050 536121005 538486676 549476200 564337900 567694312 568944740 586911416 612709720 653595425 673108345 679739242 708535100 709617890 711180925 732026876 733639270 746966200 750569407 765887150 769266680 790073060 796522636 812778200 857793608 915033595 922503257 961583350 971056060 987591325 993465046 995653295 1027094978 1035551300 1045752680 1048056100 1072242010 1076973352 1128675800 1137889480 1213820075 1281047033 1307190850 1346216690 1359478484 1393914613 1417070200 1419235780 1422361850 1464053752 1467278540 1501138814 1531774300 1580146120 1593045272 1699348105 1774044725 1830067190 1834098175 1845006514 1923166700 1942112120 1975182650 1986930092 1991306590 2054189956 2071102600 2096112200 2144484020 2379087347 2427640150 2483662615 2562094066 2567737445 2614381700 2680605025 2692433380 2718956968 2787829226 2838471560 2844723700 2934557080 3002277628 3063548600 3365541725 3398696210 3477127661 3548089450 3660134380 3668196350 3690013028 3752847035 3846333400 3950365300 3973860184 3982613180 4108379912 4288968040 4575167975 4612516285 4758174694 4855280300 4967325230 4978266475 5124188132 5135474890 5228763400 5361210050 5384866760 5575658452 5689447400 6004555256 6405235165 6457522799 6731083450 6797392420 6954255322 6969573065 7096178900 7320268760 7336392700 7380026056 7505694070 7900730600 7965226360 8496740525 8967329231 9150335950 9225032570 9516349388 9710560600 9757402291 9934650460 9956532950 10248376264 10270949780 10722420100 11151316904 11895436735 12418313075 12810470330 12838687225 12915045598 13462166900 13594784840 13908510644 13939146130 14192357800 14672785400 15011388140 16653611429 16993481050 17385638305 17934658462 18300671900 18450065140 18764235175 19032698776 19514804582 19869300920 19913065900 20541899560 21444840200 23062581425 23790873470 24339893627 24836626150 25620940660 25677374450 25830091196 26924333800 27817021288 27878292260 30022776280 32026175825 32287613995 33307222858 33986962100 34771276610 34847865325 35869316924 36601343800 36900130280 37528470350 39029609164 39826131800 44836646155 45202659593 46125162850 47581746940 48679787254 48787011455 49673252300 51241881320 51354748900 51660182392 55756584520 59477183675 64052351650 64575227990 66614445716 67973924200 69542553220 69695730650 71738633848 75056940700 78059218328 83268057145 86928191525 89673292310 90405319186 92250325700 95163493880 97359574508 97574022910 99346504600 102709497800 116575280003 118954367350 121699468135 128104703300 129150455980 133228891432 139085106440 139391461300 150113881400 161438069975 166536114290 170379255389 173856383050 179346584620 180810638372 184500651400 194719149016 195148045820 224183230775 226013297965 233150560006 237908734700 243398936270 243935057275 256209406600 258300911960 278782922600 316418617151 322876139950 333072228580 340758510778 347712766100 358693169240 361621276744 390296091640 416340285725 448366461550 452026595930 466301120012 475817469400 486797872540 487870114550 582876400015 608497340675 632837234302 645752279900 666144457160 681517021556 695425532200 832680571450 851896276945 896732923100 904053191860 932602240024 973595745080 975740229100 1130066489825 1165752800030 1216994681350 1265674468604 1291504559800 1363034043112 1582093085755 1665361142900 1703792553890 1793465846200 1808106383720 1951480458200 2214930320057 2260132979650 2331505600060 2433989362700 2531348937208 2914382000075 3164186171510 3330722285800 3407585107780 4259481384725 4429860640114 4520265959300 4663011200120 4867978725400 5828764000150 6328372343020 6815170215560 7910465428775 8518962769450 8859721280228 9040531918600 11074651600285 11657528000300 12656744686040 15820930857550 17037925538900 17719442560456 22149303200570 23315056000600 31641861715100 34075851077800 44298606401140 55373258001425 63283723430200 88597212802280 110746516002850 221493032005700 442986064011400
- Sum of all divisors σ(n): 1368139661582400
- Sum of proper divisors (its aliquot sum) s(n): 925153597571000
- 442986064011400 is an abundant number, because the sum of its proper divisors (925153597571000) is greater than itself. Its abundance is 482167533559600
Bases of 442986064011400
- Binary: 11001001011100100101110101111110001100000100010002
- Hexadecimal: 0x192E4BAFC6088
- Base-36: 4D0WZKY8P4
Squares and roots of 442986064011400
- 442986064011400 squared (4429860640114002) is 196236652908312178259329960000
- 442986064011400 cubed (4429860640114003) is 86930102486624462573521709089833801544000000
-
The
square root of 442986064011400 is 21047234.1178455085 -
The
cube root of 442986064011400 is 76230.7199276093
Scales and comparisons
How big is 442986064011400?- 442,986,064,011,400 seconds is equal to 14,085,586 years, 30 weeks, 4 days, 15 hours, 36 minutes, 40 seconds.
-
To count from 1 to 442,986,064,011,400 would take you about thirty-five million, two hundred thirteen thousand, nine hundred sixty-six 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 442986064011400 cubic inches would be around 6352.6 feet tall.
Recreational maths with 442986064011400
- 442986064011400 backwards is 004110460689244
- 442986064011400 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 442986064011400's digits is 49
- More coming soon!
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The information we have on file for 442986064011400 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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