42137441238816
42,137,441,238,816 is an even composite number composed of six prime numbers multiplied together.
42137441238816 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one thousand, nine hundred twenty divisors.
Prime factorization of 42137441238816:
25 × 34 × 73 × 11 × 173 × 877
(2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 7 × 7 × 7 × 11 × 17 × 17 × 17 × 877)See below for interesting mathematical facts about the number 42137441238816 from the Numbermatics database.
Names of 42137441238816
- Cardinal: 42137441238816 can be written as Forty-two trillion, one hundred thirty-seven billion, four hundred forty-one million, two hundred thirty-eight thousand, eight hundred sixteen.
Scientific notation
- Scientific notation: 4.2137441238816 × 1013
Factors of 42137441238816
Divisors of 42137441238816
- Number of divisors d(n): 1920
-
Complete list of divisors:
1 2 3 4 6 7 8 9 11 12 14 16 17 18 21 22 24 27 28 32 33 34 36 42 44 48 49 51 54 56 63 66 68 72 77 81 84 88 96 98 99 102 108 112 119 126 132 136 144 147 153 154 162 168 176 187 189 196 198 204 216 224 231 238 252 264 272 288 289 294 297 306 308 324 336 343 352 357 374 378 392 396 408 432 441 459 462 476 504 528 539 544 561 567 578 588 594 612 616 648 672 686 693 714 748 756 784 792 816 833 864 867 877 882 891 918 924 952 1008 1029 1056 1071 1078 1122 1134 1156 1176 1188 1224 1232 1296 1309 1323 1372 1377 1386 1428 1496 1512 1568 1584 1617 1632 1666 1683 1734 1754 1764 1782 1836 1848 1904 2016 2023 2058 2079 2142 2156 2244 2268 2312 2352 2376 2448 2464 2499 2592 2601 2618 2631 2646 2744 2754 2772 2856 2992 3024 3087 3168 3179 3213 3234 3332 3366 3468 3508 3528 3564 3672 3696 3773 3808 3927 3969 4046 4116 4158 4284 4312 4488 4536 4624 4704 4752 4851 4896 4913 4998 5049 5202 5236 5262 5292 5488 5508 5544 5712 5831 5984 6048 6069 6139 6174 6237 6358 6426 6468 6664 6732 6936 7016 7056 7128 7344 7392 7497 7546 7803 7854 7893 7938 8092 8232 8316 8568 8624 8976 9072 9163 9248 9261 9504 9537 9639 9647 9702 9826 9996 10098 10404 10472 10524 10584 10976 11016 11088 11319 11424 11662 11781 12138 12278 12348 12474 12716 12852 12936 13328 13464 13872 14032 14112 14161 14256 14553 14688 14739 14909 14994 15092 15147 15606 15708 15786 15876 16184 16464 16632 17136 17248 17493 17952 18144 18207 18326 18417 18522 19074 19278 19294 19404 19652 19992 20196 20808 20944 21048 21168 22032 22176 22253 22491 22638 23324 23409 23562 23679 24276 24556 24696 24948 25432 25704 25872 26656 26928 27489 27744 27783 28064 28322 28512 28611 28941 29106 29478 29818 29988 30184 30294 31212 31416 31572 31752 32368 32928 33264 33957 34272 34391 34986 35343 36414 36652 36834 37044 38148 38556 38588 38808 39304 39984 40392 41616 41888 42096 42336 42483 42973 43659 44064 44217 44506 44727 44982 45276 46648 46818 47124 47358 48552 49112 49392 49896 50864 51408 51744 52479 53856 54043 54621 54978 55251 55566 56644 57222 57882 58212 58956 59636 59976 60368 60588 62424 62832 63144 63504 64141 64736 66528 66759 67473 67529 67914 68782 69972 70686 71037 72828 73304 73668 74088 76296 77112 77176 77616 78608 79968 80784 82467 83232 84192 84966 85833 85946 86823 87318 88434 89012 89454 89964 90552 93296 93636 94248 94716 97104 98224 98784 99127 99792 101728 101871 102816 103173 104363 104958 106029 108086 109242 109956 110502 111132 113288 114444 115764 116424 117912 119272 119952 120736 121176 124848 125664 126288 127008 127449 128282 128919 132651 133518 134181 134946 135058 135828 137564 139944 141372 142074 145656 146608 147336 148176 152592 154224 154352 155232 155771 157216 157437 161568 162129 163863 163999 164934 165753 169932 171666 171892 173646 174636 176868 178024 178908 179928 181104 186592 187272 188496 189432 192423 194208 196448 198254 199584 200277 202587 203742 206346 208726 209916 212058 216172 218484 219912 221004 222264 226576 228888 231528 232848 235824 238544 239904 240737 242352 247401 249696 252576 253453 254898 256564 257499 257838 260469 265302 267036 268362 269892 270116 271656 275128 279888 282744 284148 291312 293216 294672 296352 297381 300811 305184 305613 308448 308704 309519 311542 313089 314874 324258 327726 327998 329868 331506 339864 343332 343784 347292 349272 353736 356048 357816 359856 362208 374544 376992 378301 378864 382347 384846 386757 396508 397953 400554 402543 405174 407484 412692 417452 419832 424116 432344 436968 439824 442008 444528 453152 457776 463056 465696 467313 471648 472311 472703 477088 481474 484704 486387 491997 494802 497259 506906 509796 513128 514998 515676 520938 530604 534072 536724 539784 540232 543312 550256 559776 565488 568296 577269 582624 589344 594762 600831 601622 607761 611226 619038 623084 626178 629748 648516 655452 655996 659736 663012 679728 686664 687568 694584 698544 707472 712096 715632 719712 722211 730541 742203 749088 756602 757728 760359 764694 769692 773514 781407 793016 795906 801108 805086 810348 814968 825384 834904 839664 848232 864688 873936 879648 884016 889056 892143 902433 915552 926112 928557 934626 939267 944622 945406 962948 972774 983994 989604 994518 1013812 1019592 1026256 1029996 1031352 1041876 1061208 1068144 1073448 1079568 1080464 1086624 1090397 1100512 1130976 1134903 1136592 1147041 1147993 1154538 1160271 1189524 1201662 1203244 1207629 1215522 1222452 1238076 1246168 1252356 1259496 1297032 1310904 1311992 1319472 1326024 1359456 1373328 1375136 1389168 1397088 1401939 1414944 1418109 1431264 1444422 1459161 1461082 1475991 1484406 1513204 1520718 1529388 1539384 1547028 1562814 1586032 1591812 1602216 1610172 1620696 1629936 1650768 1669808 1679328 1685159 1696464 1729376 1731807 1747872 1768032 1774171 1784286 1802493 1804866 1823283 1857114 1869252 1878534 1889244 1890812 1925896 1945548 1967988 1979208 1989036 2027624 2039184 2052512 2059992 2062704 2083752 2122416 2136288 2146896 2159136 2160928 2166633 2180794 2191623 2269806 2273184 2281077 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1639334004 1656866988 1689010792 1706245596 1715973336 1735765416 1779527904 1788364368 1800053024 1806612984 1861358832 1873524576 1893562272 1900137141 1912556338 1990619862 2001968892 2011909914 2025059652 2086425096 2107715148 2144180808 2171585304 2183966064 2185778672 2209155984 2274994128 2287964448 2299325616 2314353888 2322389839 2347228233 2408817312 2443033467 2459001006 2533516188 2559368394 2603648124 2654159816 2669291856 2682546552 2700079536 2781900128 2792038248 2810286864 2826309024 2858907744 2868834507 2895447072 2955768886 2975597856 2985929793 3002953338 3037589478 3129637644 3161572722 3257377956 3278668008 3313733976 3378021584 3412491192 3431946672 3471530832 3576728736 3613225968 3688501509 3722717664 3800274282 3825112676 3839052591 3981239724 4003937784 4023819828 4050119304 4172850192 4215430296 4288361616 4343170608 4367932128 4371557344 4418311968 4433653329 4549988256 4556384217 4598651232 4644779678 4694456466 4886066934 4918002012 5067032376 5118736788 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20474947152 20829184992 20901508551 22131009054 22801645692 22950676056 23646151088 23887438344 24023626704 24300715824 25037101152 25292581776 25819510563 26059023648 26601919974 26873368137 27868678068 28166738796 29508012072 30402194256 30600901408 30712420728 31849917792 32190558624 32513457746 34202468538 34426014084 35469226632 35831157516 36451073736 37158237424 37555651728 39088535472 39344016096 39902879961 40949894304 41803017102 44262018108 45603291384 45901352112 47292302176 47774876688 48047253408 48601431648 48770186619 50585163552 51639021126 53203839948 53746736274 55737356136 56333477592 59016024144 60804388512 61424841456 62704525653 65026915492 68404937076 68852028168 70938453264 71662315032 72902147472 74316474848 75111303456 77458531689 78177070944 79805759922 83606034204 88524036216 91206582768 91802704224 95549753376 97540373238 103278042252 106407679896 107493472548 111474712272 112666955184 118032048288 119708639883 122849682912 125409051306 130053830984 136809874152 137704056336 141876906528 143324630064 145804294944 146310559857 154917063378 159611519844 167212068408 177048072432 182413165536 188113576959 195080746476 206556084504 212815359792 214986945096 222949424544 225333910368 239417279766 250818102612 260107661968 273619748304 275408112672 286649260128 292621119714 309834126756 319223039688 334424136816 354096144864 376227153918 390161492952 413112169008 425630719584 429973890192 438931679571 478834559532 501636205224 520215323936 547239496608 585242239428 619668253512 638446079376 668848273632 752454307836 780322985904 826224338016 859947780384 877863359142 957669119064 1003272410448 1170484478856 1239336507024 1276892158752 1316795038713 1504908615672 1560645971808 1755726718284 1915338238128 2006544820896 2340968957712 2478673014048 2633590077426 3009817231344 3511453436568 3830676476256 4681937915424 5267180154852 6019634462688 7022906873136 10534360309704 14045813746272 21068720619408 42137441238816
- Sum of all divisors σ(n): 167699657664000
- Sum of proper divisors (its aliquot sum) s(n): 125562216425184
- 42137441238816 is an abundant number, because the sum of its proper divisors (125562216425184) is greater than itself. Its abundance is 83424775186368
Bases of 42137441238816
- Binary: 10011001010010111000110011011101111111001000002
- Hexadecimal: 0x2652E3377F20
- Base-36: EXPO8K200
Squares and roots of 42137441238816
- 42137441238816 squared (421374412388162) is 1775563954154671276745081856
- 42137441238816 cubed (421374412388163) is 74817721783952247073642534374523964522496
-
The
square root of 42137441238816 is 6491335.8593448237 -
The
cube root of 42137441238816 is 34798.1417840129
Scales and comparisons
How big is 42137441238816?- 42,137,441,238,816 seconds is equal to 1,339,840 years, 15 weeks, 1 day, 4 hours, 33 minutes, 36 seconds.
-
To count from 1 to 42,137,441,238,816 would take you about three million, three hundred forty-nine thousand, six hundred 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 42137441238816 cubic inches would be around 2899.8 feet tall.
Recreational maths with 42137441238816
- 42137441238816 backwards is 61883214473124
- 42137441238816 is a
Harshad number . - The number of decimal digits it has is: 14
- The sum of 42137441238816's digits is 54
- More coming soon!
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"Number 42137441238816 - Facts about the integer". Numbermatics.com. 2024. Web. 14 May 2024.
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Numbermatics. (2024). Number 42137441238816 - Facts about the integer. Retrieved 14 May 2024, from https://numbermatics.com/n/42137441238816/
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The information we have on file for 42137441238816 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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