442914066137088
442,914,066,137,088 is an even composite number composed of five prime numbers multiplied together.
What does the number 442914066137088 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 1520 divisors.
442914066137088 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one thousand, five hundred twenty divisors.
Prime factorization of 442914066137088:
218 × 33 × 7 × 134 × 313
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 7 × 13 × 13 × 13 × 13 × 313)See below for interesting mathematical facts about the number 442914066137088 from the Numbermatics database.
Names of 442914066137088
- Cardinal: 442914066137088 can be written as Four hundred forty-two trillion, nine hundred fourteen billion, sixty-six million, one hundred thirty-seven thousand and eighty-eight.
Scientific notation
- Scientific notation: 4.42914066137088 × 1014
Factors of 442914066137088
Divisors of 442914066137088
- Number of divisors d(n): 1520
-
Complete list of divisors:
1 2 3 4 6 7 8 9 12 13 14 16 18 21 24 26 27 28 32 36 39 42 48 52 54 56 63 64 72 78 84 91 96 104 108 112 117 126 128 144 156 168 169 182 189 192 208 216 224 234 252 256 273 288 312 313 336 338 351 364 378 384 416 432 448 468 504 507 512 546 576 624 626 672 676 702 728 756 768 819 832 864 896 936 939 1008 1014 1024 1092 1152 1183 1248 1252 1344 1352 1404 1456 1512 1521 1536 1638 1664 1728 1792 1872 1878 2016 2028 2048 2184 2191 2197 2304 2366 2457 2496 2504 2688 2704 2808 2817 2912 3024 3042 3072 3276 3328 3456 3549 3584 3744 3756 4032 4056 4069 4096 4368 4382 4394 4563 4608 4732 4914 4992 5008 5376 5408 5616 5634 5824 6048 6084 6144 6552 6573 6591 6656 6912 7098 7168 7488 7512 8064 8112 8138 8192 8451 8736 8764 8788 9126 9216 9464 9828 9984 10016 10647 10752 10816 11232 11268 11648 12096 12168 12207 12288 13104 13146 13182 13312 13824 14196 14336 14976 15024 15379 16128 16224 16276 16384 16902 17472 17528 17576 18252 18432 18928 19656 19719 19773 19968 20032 21294 21504 21632 22464 22536 23296 24192 24336 24414 24576 26208 26292 26364 26624 27648 28392 28483 28561 28672 29952 30048 30758 31941 32256 32448 32552 32768 33804 34944 35056 35152 36504 36621 36864 37856 39312 39438 39546 39936 40064 42588 43008 43264 44928 45072 46137 46592 48384 48672 48828 49152 52416 52584 52728 52897 53248 55296 56784 56966 57122 57344 59157 59319 59904 60096 61516 63882 64512 64896 65104 65536 67608 69888 70112 70304 73008 73242 73728 75712 78624 78876 79092 79872 80128 85176 85449 85683 86016 86528 89856 90144 92274 93184 96768 97344 97656 98304 104832 105168 105456 105794 106496 109863 110592 113568 113932 114244 114688 118314 118638 119808 120192 123032 127764 129024 129792 130208 131072 135216 138411 139776 140224 140608 146016 146484 147456 151424 157248 157752 158184 158691 159744 160256 170352 170898 171366 172032 173056 179712 180288 184548 186368 193536 194688 195312 196608 199927 209664 210336 210912 211588 212992 219726 221184 227136 227864 228488 229376 236628 237276 239616 240384 246064 255528 256347 257049 258048 259584 260416 262144 270432 276822 279552 280448 281216 292032 292968 294912 302848 314496 315504 316368 317382 319488 320512 340704 341796 342732 344064 346112 359424 360576 369096 370279 372736 387072 389376 390624 393216 399854 415233 419328 420672 421824 423176 425984 439452 442368 454272 455728 456976 458752 473256 474552 476073 479232 480768 492128 511056 512694 514098 516096 519168 520832 540864 553644 559104 560896 562432 584064 585936 589824 599781 605696 628992 631008 632736 634764 638976 641024 681408 683592 685464 687661 688128 692224 718848 721152 738192 740558 745472 769041 771147 774144 778752 781248 786432 799708 830466 838656 841344 843648 846352 851968 878904 884736 908544 911456 913952 917504 946512 949104 952146 958464 961536 984256 1022112 1025388 1028196 1032192 1038336 1041664 1081728 1107288 1110837 1118208 1121792 1124864 1168128 1171872 1179648 1199562 1211392 1257984 1262016 1265472 1269528 1277952 1282048 1362816 1367184 1370928 1375322 1376256 1384448 1428219 1437696 1442304 1476384 1481116 1490944 1538082 1542294 1548288 1557504 1562496 1599416 1660932 1677312 1682688 1687296 1692704 1703936 1757808 1769472 1799343 1817088 1822912 1827904 1835008 1893024 1898208 1904292 1916928 1923072 1968512 2044224 2050776 2056392 2062983 2064384 2076672 2083328 2163456 2214576 2221674 2236416 2243584 2249728 2336256 2343744 2359296 2399124 2422784 2515968 2524032 2530944 2539056 2555904 2564096 2725632 2734368 2741856 2750644 2752512 2768896 2856438 2875392 2884608 2952768 2962232 2981888 3076164 3084588 3096576 3115008 3124992 3198832 3321864 3332511 3354624 3365376 3374592 3385408 3407872 3515616 3538944 3598686 3634176 3645824 3655808 3786048 3796416 3808584 3833856 3846144 3937024 4088448 4101552 4112784 4125966 4128768 4153344 4166656 4326912 4429152 4443348 4472832 4487168 4499456 4672512 4687488 4798248 4813627 4845568 5031936 5048064 5061888 5078112 5111808 5128192 5398029 5451264 5468736 5483712 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690947712 693162288 697761792 699998208 701915136 704164864 731248128 738459648 750925812 755908608 758331392 787497984 789654528 792185472 799997952 818900992 850397184 853122816 858200928 861536256 863895552 866664448 899997696 921263616 924216384 930349056 933330944 935886848 965476044 969228288 971882496 974997504 1001234416 1007878144 1039743432 1046642688 1049997312 1052872704 1056247296 1066663936 1107689472 1126388718 1133862912 1137497088 1144267904 1188278208 1196163072 1199996928 1228351488 1232288512 1279684224 1287301392 1292304384 1295843328 1299996672 1381895424 1386324576 1395523584 1399996416 1403830272 1408329728 1462496256 1501851624 1511817216 1516662784 1574995968 1579309056 1584370944 1599995904 1637801984 1689583077 1700794368 1706245632 1716401856 1723072512 1727791104 1733328896 1799995392 1842527232 1848432768 1866661888 1871773696 1930952088 1938456576 1943764992 1949995008 2002468832 2015756288 2079486864 2093285376 2099994624 2105745408 2112494592 2215378944 2252777436 2267725824 2274994176 2288535808 2376556416 2399993856 2456702976 2464577024 2559368448 2574602784 2584608768 2591686656 2599993344 2763790848 2772649152 2791047168 2799992832 2807660544 2816659456 2924992512 3003703248 3023634432 3033325568 3149991936 3158618112 3168741888 3199991808 3275603968 3379166154 3401588736 3412491264 3432803712 3466657792 3599990784 3685054464 3696865536 3733323776 3743547392 3861904176 3876913152 3887529984 3899990016 4004937664 4031512576 4158973728 4186570752 4199989248 4211490816 4224989184 4505554872 4535451648 4549988352 4577071616 4753112832 4799987712 4913405952 4929154048 5118736896 5149205568 5169217536 5183373312 5199986688 5527581696 5545298304 5599985664 5615321088 5633318912 5849985024 6007406496 6047268864 6066651136 6299983872 6317236224 6337483776 6551207936 6758332308 6803177472 6824982528 6865607424 6933315584 7199981568 7370108928 7393731072 7466647552 7487094784 7723808352 7753826304 7775059968 7799980032 8009875328 8317947456 8373141504 8399978496 8422981632 8449978368 9011109744 9070903296 9099976704 9154143232 9506225664 9599975424 9826811904 9858308096 10237473792 10298411136 10399973376 11055163392 11090596608 11199971328 11230642176 11266637824 11699970048 12014812992 12094537728 12133302272 12599967744 12634472448 12674967552 13102415872 13516664616 13606354944 13649965056 13731214848 13866631168 14399963136 14740217856 14787462144 15447616704 15507652608 15550119936 15599960064 16019750656 16635894912 16799956992 16845963264 16899956736 18022219488 18141806592 18199953408 18308286464 19012451328 19653623808 19716616192 20474947584 20596822272 20799946752 22110326784 22181193216 22399942656 22461284352 22533275648 23399940096 24029625984 24266604544 25199935488 25268944896 25349935104 26204831744 27033329232 27212709888 27299930112 27462429696 28799926272 29480435712 29574924288 30895233408 31199920128 32039501312 33271789824 33599913984 33691926528 33799913472 36044438976 36283613184 36399906816 36616572928 38024902656 39307247616 39433232384 40949895168 41193644544 41599893504 44220653568 44362386432 45066551296 46799880192 48059251968 48533209088 50399870976 50537889792 50699870208 52409663488 54066658464 54425419776 54599860224 54924859392 58960871424 59149848576 61790466816 62399840256 64079002624 66543579648 67199827968 67383853056 67599826944 72088877952 72799813632 73233145856 76049805312 78614495232 78866464768 81899790336 82387289088 88441307136 88724772864 90133102592 93599760384 96118503936 97066418176 100799741952 101075779584 101399740416 108133316928 108850839552 109199720448 109849718784 117921742848 118299697152 123580933632 124799680512 128158005248 133087159296 135199653888 144177755904 145599627264 146466291712 152099610624 157228990464 157732929536 163799580672 164774578176 176882614272 177449545728 180266205184 187199520768 192237007872 201599483904 202151559168 202799480832 216266633856 218399440896 219699437568 235843485696 236599394304 247161867264 256316010496 266174318592 270399307776 288355511808 291199254528 292932583424 304199221248 315465859072 327599161344 329549156352 353765228544 354899091456 374399041536 384474015744 405598961664 432533267712 436798881792 439398875136 471686971392 473198788608 494323734528 512632020992 532348637184 540798615552 576711023616 585865166848 608398442496 630931718144 655198322688 659098312704 707530457088 709798182912 768948031488 811197923328 865066535424 873597763584 878797750272 946397577216 988647469056 1025264041984 1064697274368 1153422047232 1171730333696 1216796884992 1261863436288 1310396645376 1318196625408 1415060914176 1419596365824 1537896062976 1622395846656 1730133070848 1757595500544 1892795154432 1977294938112 2050528083968 2129394548736 2306844094464 2343460667392 2433593769984 2620793290752 2636393250816 2839192731648 3075792125952 3460266141696 3515191001088 3785590308864 3954589876224 4101056167936 4258789097472 4613688188928 4867187539968 5272786501632 5678385463296 6151584251904 6920532283392 7030382002176 7909179752448 8202112335872 8517578194944 9227376377856 10545573003264 11356770926592 12303168503808 13841064566784 15818359504896 16404224671744 17035156389888 18454752755712 21091146006528 24606337007616 27682129133568 31636719009792 34070312779776 36909505511424 49212674015232 55364258267136 63273438019584 73819011022848 110728516534272 147638022045696 221457033068544 442914066137088
- Sum of all divisors σ(n): 1629982949452160
- Sum of proper divisors (its aliquot sum) s(n): 1187068883315072
- 442914066137088 is an abundant number, because the sum of its proper divisors (1187068883315072) is greater than itself. Its abundance is 744154817177984
Bases of 442914066137088
- Binary: 11001001011010011111101111001010000000000000000002
- Hexadecimal: 0x192D3F7940000
- Base-36: 4CZZWV9XC0
Squares and roots of 442914066137088
- 442914066137088 squared (4429140661370882) is 196172869982088762978409119744
- 442914066137088 cubed (4429140661370883) is 86887723509549227583782037776480068511465472
-
The
square root of 442914066137088 is 21045523.6603199779 -
The
cube root of 442914066137088 is 76226.5898148673
Scales and comparisons
How big is 442914066137088?- 442,914,066,137,088 seconds is equal to 14,083,297 years, 14 weeks, 3 days, 22 hours, 4 minutes, 48 seconds.
-
To count from 1 to 442,914,066,137,088 would take you about thirty-five million, two hundred eight thousand, two hundred forty-three 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 442914066137088 cubic inches would be around 6352.2 feet tall.
Recreational maths with 442914066137088
- 442914066137088 backwards is 880731660419244
- 442914066137088 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 442914066137088's digits is 63
- More coming soon!
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MLA style:
"Number 442914066137088 - Facts about the integer". Numbermatics.com. 2024. Web. 22 June 2024.
APA style:
Numbermatics. (2024). Number 442914066137088 - Facts about the integer. Retrieved 22 June 2024, from https://numbermatics.com/n/442914066137088/
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The information we have on file for 442914066137088 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 442914066137088, math, Factors of 442914066137088, curriculum, school, college, exams, university, Prime factorization of 442914066137088, STEM, science, technology, engineering, physics, economics, calculator, four hundred forty-two trillion, nine hundred fourteen billion, sixty-six million, one hundred thirty-seven thousand and eighty-eight.