3942008838144
3,942,008,838,144 is an even composite number composed of seven prime numbers multiplied together.
What does the number 3942008838144 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 1728 divisors.
3942008838144 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of one thousand, seven hundred twenty-eight divisors.
Prime factorization of 3942008838144:
211 × 32 × 13 × 17 × 19 × 312 × 53
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 13 × 17 × 19 × 31 × 31 × 53)See below for interesting mathematical facts about the number 3942008838144 from the Numbermatics database.
Names of 3942008838144
- Cardinal: 3942008838144 can be written as Three trillion, nine hundred forty-two billion, eight million, eight hundred thirty-eight thousand, one hundred forty-four.
Scientific notation
- Scientific notation: 3.942008838144 × 1012
Factors of 3942008838144
Divisors of 3942008838144
- Number of divisors d(n): 1728
-
Complete list of divisors:
1 2 3 4 6 8 9 12 13 16 17 18 19 24 26 31 32 34 36 38 39 48 51 52 53 57 62 64 68 72 76 78 93 96 102 104 106 114 117 124 128 136 144 152 153 156 159 171 186 192 204 208 212 221 228 234 247 248 256 272 279 288 304 306 312 318 323 342 372 384 403 408 416 424 442 456 468 477 494 496 512 527 544 558 576 589 608 612 624 636 646 663 684 689 741 744 768 806 816 832 848 884 901 912 936 954 961 969 988 992 1007 1024 1054 1088 1116 1152 1178 1209 1216 1224 1248 1272 1292 1326 1368 1378 1482 1488 1536 1581 1612 1632 1643 1664 1696 1767 1768 1802 1824 1872 1908 1922 1938 1976 1984 1989 2014 2048 2067 2108 2176 2223 2232 2304 2356 2418 2432 2448 2496 2544 2584 2652 2703 2736 2756 2883 2907 2964 2976 3021 3072 3162 3224 3264 3286 3328 3392 3534 3536 3604 3627 3648 3744 3816 3844 3876 3952 3968 3978 4028 4134 4199 4216 4352 4446 4464 4608 4712 4743 4836 4864 4896 4929 4992 5088 5168 5301 5304 5406 5472 5512 5766 5814 5928 5952 6042 6144 6201 6324 6448 6528 6572 6656 6784 6851 7068 7072 7208 7254 7296 7488 7632 7657 7688 7752 7904 7936 7956 8056 8109 8268 8398 8432 8649 8704 8892 8928 9063 9216 9424 9486 9672 9728 9792 9858 9984 10013 10176 10336 10602 10608 10812 10944 11024 11532 11628 11713 11856 11904 12084 12402 12493 12597 12648 12896 13056 13091 13144 13312 13568 13702 14136 14144 14416 14508 14592 14787 14976 15264 15314 15376 15504 15808 15872 15912 16112 16218 16337 16536 16796 16864 17119 17298 17408 17784 17856 18126 18259 18432 18848 18972 19344 19456 19584 19716 19968 20026 20352 20553 20672 21204 21216 21359 21624 21888 22048 22971 23064 23256 23426 23712 23808 24168 24804 24986 25194 25296 25792 26112 26182 26288 26624 27136 27404 27931 28272 28288 28832 29016 29184 29574 29952 30039 30528 30628 30752 31008 31217 31616 31744 31824 32224 32436 32674 33072 33592 33728 34238 34596 34816 35139 35568 35712 36252 36518 37479 37696 37791 37944 38688 38912 39168 39273 39432 39936 40052 40704 41106 41344 42408 42432 42718 43248 43776 44096 45942 46128 46512 46852 47424 47616 48336 49011 49608 49972 50388 50592 50933 51357 51584 52224 52364 52576 54272 54777 54808 55862 56544 56576 57664 58032 58368 59148 59904 60078 61056 61256 61504 61659 62016 62434 63232 63488 63648 64077 64448 64872 65348 66144 67184 67456 68476 68913 69192 70278 71136 71424 72504 73036 74958 75392 75582 75888 77376 78336 78546 78864 79872 80104 81408 82212 82688 83793 84816 84864 85436 86496 87552 88192 90117 91884 92256 93024 93651 93704 94848 95232 96672 98022 99216 99944 100776 101184 101866 102714 103168 104448 104728 105152 105417 108544 109554 109616 111724 112437 113088 113152 115328 116064 116736 117819 118296 119808 120156 122112 122512 123008 123318 124032 124868 126464 127296 128154 128896 129744 130169 130696 132288 134368 134912 136952 137826 138384 140556 142272 142848 145008 146072 147033 149916 150784 151164 151776 152799 154071 154752 156672 157092 157728 160208 162816 164331 164424 165376 167586 169632 169728 170872 172992 175104 176384 180234 183768 184512 186048 187302 187408 189696 190464 192231 193344 196044 198432 199888 201552 202368 203732 205428 206336 209456 210304 210834 212381 219108 219232 222547 223448 224874 226176 226304 230656 232128 235638 236592 237367 239616 240312 244224 245024 246016 246636 248064 249736 251379 252928 254592 256308 257792 259488 260338 261392 264576 268736 269824 273904 275652 276768 280953 281112 284544 285696 290016 292144 294066 299832 301568 302328 303552 305598 308142 309504 310403 313344 314184 315456 320416 325632 328662 328848 330752 335172 339264 339456 341744 345984 350208 352768 360468 363103 367536 369024 372096 374604 374816 379392 384462 386688 390507 392088 396864 399776 403104 404736 405821 407464 410856 412672 418912 420608 421668 424762 438216 438464 445094 446896 449748 452352 452608 458397 461312 464256 471276 473184 474734 480624 488448 490048 492032 493272 496128 499472 502758 505856 509184 512616 515584 518976 520676 522784 529152 530689 537472 539648 547808 551304 553536 561906 562224 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25473072 25585664 25798656 25972544 26077696 26143416 26294784 26810368 26986752 27184768 27595828 27707552 28045824 28486016 28601344 28783872 29219112 29337408 29798688 30161664 30283776 30382976 30582864 30759936 30967264 31170996 31569408 31782192 31966208 32046768 32176512 32281912 32807424 32902718 33323264 33458176 33768579 33964096 34180848 34838172 34857888 35059712 35283456 35961984 35982336 36317151 37394432 37488672 37640448 37741353 38209608 38378496 38697984 38958816 39116544 39442176 39731584 40215552 40777152 41393742 41561328 42068736 42092544 42376256 42729024 42902016 43743232 44698032 45024772 45574464 46139904 46450896 46477184 47044608 47673288 47949312 48422868 49211136 49354077 49984896 50187264 50321804 50946144 51945088 52155392 52286832 52589568 53973504 54369536 55191656 55415104 56091648 56972032 57202688 57567744 58438224 58674816 59597376 60323328 60765952 61165728 61519872 61934528 62090613 62341992 63138816 63564384 63932416 64093536 64353024 64563824 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2659924992 2860674048 2881585408 2972857344 3051090432 3099063552 3158660928 3220595456 3241783584 3260553216 3346357248 3421882672 3532265984 3623169888 3740046336 3849618006 3914606592 3973799232 3989887488 4068120576 4101986304 4132084736 4211547904 4322378112 4375148544 4459286016 4648595328 4737991392 4830893184 4890829824 5132824008 5298398976 5319849984 5721348096 5763170816 5945714688 6102180864 6198127104 6317321856 6441190912 6483567168 6692714496 6843765344 7064531968 7246339776 7480092672 7699236012 7947598464 7979774976 8264169472 8423095808 8644756224 8918572032 9297190656 9475982784 9661786368 9781659648 10265648016 10596797952 11526341632 12204361728 12396254208 12634643712 12882381824 12967134336 13687530688 14129063936 14492679552 15398472024 15895196928 15959549952 16846191616 17289512448 17837144064 18594381312 18951965568 19323572736 20531296032 21193595904 23052683264 24792508416 25269287424 25764763648 25934268672 27375061376 28985359104 30796944048 31790393856 33692383232 34579024896 37188762624 37903931136 38647145472 41062592064 42387191808 50538574848 51868537344 54750122752 57970718208 61593888096 63580787712 69158049792 74377525248 75807862272 77294290944 82125184128 101077149696 103737074688 109500245504 115941436416 123187776192 127161575424 151615724544 164250368256 207474149376 219000491008 231882872832 246375552384 303231449088 328500736512 438000982016 492751104768 657001473024 985502209536 1314002946048 1971004419072 3942008838144
- Sum of all divisors σ(n): 14387018536800
- Sum of proper divisors (its aliquot sum) s(n): 10445009698656
- 3942008838144 is an abundant number, because the sum of its proper divisors (10445009698656) is greater than itself. Its abundance is 6503000860512
Bases of 3942008838144
- Binary: 1110010101110100100000100101011000000000002
- Hexadecimal: 0x395D2095800
- Base-36: 1EAXMA680
Squares and roots of 3942008838144
- 3942008838144 squared (39420088381442) is 15539433680005408789364736
- 3942008838144 cubed (39420088381443) is 61256584906333863785399448583205289984
-
The
square root of 3942008838144 is 1985449.2786631443 -
The
cube root of 3942008838144 is 15796.9240903051
Scales and comparisons
How big is 3942008838144?- 3,942,008,838,144 seconds is equal to 125,343 years, 35 weeks, 5 days, 7 hours, 2 minutes, 24 seconds.
-
To count from 1 to 3,942,008,838,144 would take you about three hundred thirteen thousand, three hundred fifty-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 3942008838144 cubic inches would be around 1316.4 feet tall.
Recreational maths with 3942008838144
- 3942008838144 backwards is 4418388002493
- The number of decimal digits it has is: 13
- The sum of 3942008838144's digits is 54
- More coming soon!
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"Number 3942008838144 - Facts about the integer". Numbermatics.com. 2024. Web. 2 May 2024.
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Numbermatics. (2024). Number 3942008838144 - Facts about the integer. Retrieved 2 May 2024, from https://numbermatics.com/n/3942008838144/
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The information we have on file for 3942008838144 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 3942008838144, math, Factors of 3942008838144, curriculum, school, college, exams, university, Prime factorization of 3942008838144, STEM, science, technology, engineering, physics, economics, calculator, three trillion, nine hundred forty-two billion, eight million, eight hundred thirty-eight thousand, one hundred forty-four.