107142491322048
107,142,491,322,048 is an even composite number composed of eight prime numbers multiplied together.
107142491322048 is an even composite number. It is composed of eight distinct prime numbers multiplied together. It has a total of two thousand and sixteen divisors.
Prime factorization of 107142491322048:
26 × 3 × 72 × 132 × 37 × 61 × 73 × 409
(2 × 2 × 2 × 2 × 2 × 2 × 3 × 7 × 7 × 13 × 13 × 37 × 61 × 73 × 409)See below for interesting mathematical facts about the number 107142491322048 from the Numbermatics database.
Names of 107142491322048
- Cardinal: 107142491322048 can be written as One hundred seven trillion, one hundred forty-two billion, four hundred ninety-one million, three hundred twenty-two thousand and forty-eight.
Scientific notation
- Scientific notation: 1.07142491322048 × 1014
Factors of 107142491322048
Divisors of 107142491322048
- Number of divisors d(n): 2016
-
Complete list of divisors:
1 2 3 4 6 7 8 12 13 14 16 21 24 26 28 32 37 39 42 48 49 52 56 61 64 73 74 78 84 91 96 98 104 111 112 122 146 147 148 156 168 169 182 183 192 196 208 219 222 224 244 259 273 292 294 296 312 336 338 364 366 392 409 416 427 438 444 448 481 488 507 511 518 546 584 588 592 624 637 672 676 728 732 777 784 793 818 832 854 876 888 949 962 976 1014 1022 1036 1092 1168 1176 1183 1184 1227 1248 1274 1281 1344 1352 1443 1456 1464 1533 1554 1568 1586 1636 1708 1752 1776 1813 1898 1911 1924 1952 2028 2044 2072 2184 2257 2336 2352 2366 2368 2379 2454 2496 2548 2562 2701 2704 2847 2863 2886 2912 2928 2989 3066 3108 3136 3172 3272 3367 3416 3504 3549 3552 3577 3626 3796 3822 3848 3904 4056 4088 4144 4368 4453 4514 4672 4704 4732 4758 4908 5096 5124 5317 5402 5408 5439 5551 5694 5726 5772 5824 5856 5978 6132 6216 6253 6344 6544 6643 6734 6771 6832 7008 7098 7104 7154 7252 7592 7644 7696 8103 8112 8176 8281 8288 8589 8736 8906 8967 9028 9408 9464 9516 9816 10101 10192 10248 10309 10634 10731 10804 10816 10878 11102 11388 11452 11544 11712 11956 12264 12337 12432 12506 12688 13088 13286 13359 13468 13542 13664 14016 14196 14308 14504 15133 15184 15288 15392 15799 15951 16206 16224 16352 16562 16576 16653 17178 17472 17812 17934 18056 18759 18907 18928 19032 19632 19929 20041 20202 20384 20496 20618 21268 21462 21608 21756 22204 22776 22904 23088 23569 23912 24528 24674 24843 24864 24949 25012 25376 26176 26572 26718 26936 27084 27328 28392 28616 29008 29341 29857 30266 30368 30576 30784 30927 31171 31598 31902 32412 32448 32704 33124 33306 34356 35113 35624 35868 36112 37011 37219 37518 37814 37856 38064 38857 39264 39858 40082 40404 40768 40992 41236 42536 42924 43216 43512 43771 44408 45399 45552 45808 46176 46501 47138 47397 47824 49056 49348 49686 49728 49898 50024 50752 53144 53436 53872 54168 56721 56784 57232 57889 58016 58682 59714 60123 60532 60736 61152 61854 62342 63196 63804 64824 66248 66612 68712 69121 70226 70707 71248 71736 72163 72224 74022 74438 74847 75036 75628 75712 76128 77714 78528 79716 80164 80808 81984 82472 85072 85848 86359 86432 87024 87542 88023 88816 89571 90798 91104 91616 92352 93002 93513 94276 94794 95648 98112 98696 99372 99796 100048 105339 105931 106288 106872 107744 108336 110593 111657 113442 113568 114464 115778 116032 116571 117364 119428 120246 121064 122304 123708 124684 126392 127608 129648 131313 132349 132496 133224 137424 138242 139503 140452 141414 142496 143472 144326 144448 148044 148876 149694 150072 151256 152256 155428 159432 160328 161616 164761 164944 170144 171696 172718 172864 173667 174048 174643 175084 176046 177632 179142 181596 182208 183232 186004 187026 188552 189588 191296 196729 197392 198744 199592 200096 205387 207363 208999 210678 211862 212576 213744 215488 216489 216672 218197 221186 223314 226884 227136 228928 231556 233142 234728 238856 240492 242128 245791 247416 249368 252784 255216 259077 259296 260533 262626 264698 264992 266448 274848 276484 279006 280904 282828 284992 286944 288652 296088 297752 299388 300144 302512 306397 310856 317793 318864 320656 323232 324337 329522 329888 331779 340288 343392 345436 347334 348096 349286 350168 352092 355264 358284 363192 372008 374052 377104 379176 381433 388141 393458 394784 397047 397488 399184 400192 405223 410774 414726 417998 421356 423724 425152 427488 432978 433344 436394 442372 446628 453768 456469 463112 466284 469456 477712 480984 483847 484256 491582 494283 494832 498736 505141 505568 510432 518154 518592 521066 523929 525252 529396 529984 532896 549696 552968 558012 561808 565656 573888 577304 590187 592176 595504 598776 600288 604513 605024 612794 616161 621712 626997 635586 637728 641312 646464 648674 654591 659044 659776 663558 686784 690872 694668 698572 700336 704184 716568 726384 737373 741517 744016 748104 752557 754208 758352 762866 776282 781599 786916 789568 794094 794976 798368 810446 821548 829452 835996 842712 847448 854976 865956 872788 884744 893256 907536 912938 919191 923113 926224 932568 938912 955424 961968 967694 968512 973011 983164 988566 989664 997472 1010282 1011136 1020864 1036308 1042132 1047858 1050504 1058792 1065792 1104709 1105936 1116024 1123616 1131312 1144299 1153327 1154608 1164423 1180374 1184352 1191008 1197552 1200576 1209026 1210048 1215669 1222501 1225588 1232322 1243424 1253994 1271172 1275456 1282624 1297348 1309182 1318088 1327116 1369407 1377103 1381744 1389336 1397144 1400672 1408368 1433136 1437709 1451541 1452768 1462993 1474746 1483034 1488032 1496208 1505114 1508416 1515423 1516704 1525732 1552564 1563198 1573832 1588188 1589952 1596736 1620892 1643096 1658904 1671992 1685424 1694896 1720537 1731912 1745576 1769488 1786512 1813539 1815072 1821277 1825876 1838382 1846226 1852448 1865136 1877824 1910848 1923936 1935388 1946022 1966328 1977132 1979328 1994944 2020564 2072616 2084264 2095716 2101008 2117584 2141893 2209418 2211872 2224551 2232048 2247232 2257671 2262624 2270359 2288598 2306654 2309216 2328846 2360748 2368704 2382016 2395104 2418052 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72002814 72245472 72651488 73235136 73750586 73812928 74523072 74760868 76075636 76493634 76686792 77117768 77541492 77802816 78240064 80733328 81286296 81839264 82585776 83533827 84003283 84286384 85440992 86167302 86943584 87421296 87642048 88134592 88544001 88618848 89242573 89467924 89959506 90465074 90769952 92013376 92795556 92898624 93631552 94706404 95355078 96003752 96879468 96987072 100528519 101193144 101991512 102249056 102810864 103388656 104952757 105962493 106052064 107414034 108261482 108381728 108977232 110114368 110625879 110719392 111378436 112141302 114113454 114889736 115676652 116066496 116561728 117360096 118058668 119946008 121099992 122758896 123727408 125316373 126429576 127140104 128161488 129172624 130415376 132201888 134201886 134774498 134924192 135697611 136154928 137081152 138020064 140447328 141283324 142059606 142371264 143218712 144005628 144490944 145302976 147501172 149521736 152151272 152987268 153373584 154235536 155082984 156006097 161466656 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897130416 912907632 919117888 923387439 925413216 936036582 943421486 944469344 959568064 968799936 988983268 994417242 1002530984 1008039396 1011436608 1017120832 1070910876 1073615088 1078195984 1085580888 1092042679 1120174926 1130266592 1136476848 1145749696 1152045024 1160153449 1169473578 1176045962 1180009376 1196173888 1206342228 1217210176 1223898144 1231183252 1239616014 1240663872 1248048776 1259433084 1299137784 1306870747 1325889656 1336541232 1344052528 1364385841 1378676832 1407399266 1415132229 1416704016 1427881168 1431486784 1439352096 1447441184 1483474902 1484728896 1493566568 1503796476 1515302464 1525681248 1550071488 1559298104 1608456304 1617293976 1652821352 1679244112 1695399888 1718624544 1732183712 1752068474 1764068943 1770014064 1782054976 1794260832 1825815264 1846774878 1850826432 1872073164 1886842972 1888938688 1977966536 1988834484 2005061968 2016078792 2111098899 2141821752 2147230176 2154570691 2156391968 2171161776 2184085358 2240349852 2260533184 2272953696 2304090048 2320306898 2338947156 2352091924 2360018752 2412684456 2447796288 2462366504 2479232028 2496097552 2518866168 2598275568 2613741494 2628102711 2651779312 2673082464 2688105056 2728771682 2757353664 2814798532 2830264458 2833408032 2855762336 2878704192 2894882368 2966949804 2987133136 3007592952 3051362496 3118596208 3216912608 3234587952 3276128037 3301975201 3305642704 3358488224 3390799776 3437249088 3464367424 3480460347 3504136948 3528137886 3540028128 3588521664 3651630528 3693549756 3744146328 3773685944 3920612241 3955933072 3977668968 4010123936 4032157584 4093157523 4222197798 4283643504 4294460352 4309141382 4312783936 4342323552 4368170716 4480699704 4545907392 4640613796 4677894312 4704183848 4825368912 4924733008 4958464056 4992195104 5037732336 5196551136 5227482988 5256205422 5303558624 5346164928 5376210112 5457543364 5629597064 5660528916 5666816064 5711524672 5933899608 5974266272 6015185904 6132239659 6237192416 6433825216 6463712073 6469175904 6552256074 6603950402 6611285408 6716976448 6781599552 6960920694 7008273896 7056275772 7080056256 7387099512 7488292656 7547371888 7644298753 7841224482 7911866144 7955337936 8020247872 8064315168 8186315046 8444395596 8567287008 8618282764 8684647104 8736341432 8961399408 9148095229 9281227592 9355788624 9408367696 9650737824 9849466016 9905925603 9916928112 9984390208 10075464672 10393102272 10454965976 10512410844 10607117248 10915086728 11259194128 11321057832 11388445081 11867799216 11948532544 12030371808 12264479318 12474384832 12927424146 12938351808 13104512148 13207900804 13222570816 13921841388 14016547792 14112551544 14774199024 14976585312 15081994837 15094743776 15288597506 15682448964 15823732288 15910675872 16128630336 16372630092 16888791192 17134574016 17236565528 17472682864 17922798816 18296190458 18396718977 18562455184 18711577248 18816735392 19301475648 19698932032 19811851206 19833856224 20150929344 20909931952 21024821688 21830173456 22518388256 22642115664 22776890162 22932896259 23735598432 24060743616 24528958636 25854848292 26209024296 26415801608 27444285687 27843682776 28033095584 28225103088 29548398048 29953170624 30163989674 30189487552 30577195012 31364897928 31821351744 32745260184 33777582384 34165335243 34473131056 34945365728 35845597632 36592380916 36793437954 37124910368 37423154496 37633470784 39623702412 39667712448 41819863904 42049643376 42925677613 43660346912 45036776512 45245984511 45284231328 45553780324 45865792518 47471196864 49057917272 51709696584 52418048592 52831603216 54888571374 55687365552 56066191168 56450206176 59096796096 60327979348 61154390024 62729795856 65490520368 67555164768 68330670486 68946262112 69890731456 73184761832 73586875908 74249820736 79247404824 79719115567 83639727808 84099286752 85851355226 87320693824 90491969022 90568462656 91107560648 91731585036 98115834544 103419393168 104836097184 105663206432 109777142748 111374731104 112900412352 120655958696 122308780048 125459591712 128777032839 130981040736 135110329536 136661340972 137892524224 146369523664 147173751816 158494809648 159438231134 168198573504 171702710452 180983938044 182215121296 183463170072 196231669088 206838786336 209672194368 211326412864 219554285496 222749462208 239157346701 241311917392 244617560096 250919183424 257554065678 261962081472 273322681944 292739047328 294347503632 316989619296 318876462268 343405420904 361967876088 364430242592 366926340144 392463338176 413677572672 439108570992 478314693402 482623834784 489235120192 515108131356 546645363888 558033808969 585478094656 588695007264 633979238592 637752924536 686810841808 723935752176 728860485184 733852680288 878217141984 956629386804 965247669568 1030216262712 1093290727776 1116067617938 1177390014528 1275505849072 1373621683616 1447871504352 1467705360576 1674101426907 1756434283968 1913258773608 2060432525424 2186581455552 2232135235876 2551011698144 2747243367232 2895743008704 3348202853814 3826517547216 4120865050848 4464270471752 5102023396288 6696405707628 7653035094432 8241730101696 8928540943504 13392811415256 15306070188864 17857081887008 26785622830512 35714163774016 53571245661024 107142491322048
- Sum of all divisors σ(n): 378774313945920
- Sum of proper divisors (its aliquot sum) s(n): 271631822623872
- 107142491322048 is an abundant number, because the sum of its proper divisors (271631822623872) is greater than itself. Its abundance is 164489331301824
Bases of 107142491322048
- Binary: 110000101110010000011100010001010110110110000002
- Hexadecimal: 0x61720E22B6C0
- Base-36: 11Z8KWZUTC
Squares and roots of 107142491322048
- 107142491322048 squared (1071424913220482) is 11479513446695130986850914304
- 107142491322048 cubed (1071424913220483) is 1229943669843866397983768748211454513774592
-
The
square root of 107142491322048 is 10350965.7192963401 -
The
cube root of 107142491322048 is 47495.6585242817
Scales and comparisons
How big is 107142491322048?- 107,142,491,322,048 seconds is equal to 3,406,799 years, 42 weeks, 1 day, 1 hour, 48 seconds.
-
To count from 1 to 107,142,491,322,048 would take you about eight million, five hundred sixteen thousand, nine hundred ninety-nine 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 107142491322048 cubic inches would be around 3958 feet tall.
Recreational maths with 107142491322048
- 107142491322048 backwards is 840223194241701
- 107142491322048 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 107142491322048's digits is 48
- More coming soon!
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MLA style:
"Number 107142491322048 - Facts about the integer". Numbermatics.com. 2024. Web. 5 June 2024.
APA style:
Numbermatics. (2024). Number 107142491322048 - Facts about the integer. Retrieved 5 June 2024, from https://numbermatics.com/n/107142491322048/
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Numbermatics. 2024. "Number 107142491322048 - Facts about the integer". https://numbermatics.com/n/107142491322048/
The information we have on file for 107142491322048 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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