42144071144760
42,144,071,144,760 is an even composite number composed of eight prime numbers multiplied together.
What does the number 42144071144760 look like?
This visualization shows the relationship between its 8 prime factors (large circles) and 1536 divisors.
42144071144760 is an even composite number. It is composed of eight distinct prime numbers multiplied together. It has a total of one thousand, five hundred thirty-six divisors.
Prime factorization of 42144071144760:
23 × 33 × 5 × 132 × 31 × 127 × 223 × 263
(2 × 2 × 2 × 3 × 3 × 3 × 5 × 13 × 13 × 31 × 127 × 223 × 263)See below for interesting mathematical facts about the number 42144071144760 from the Numbermatics database.
Names of 42144071144760
- Cardinal: 42144071144760 can be written as Forty-two trillion, one hundred forty-four billion, seventy-one million, one hundred forty-four thousand, seven hundred sixty.
Scientific notation
- Scientific notation: 4.214407114476 × 1013
Factors of 42144071144760
Divisors of 42144071144760
- Number of divisors d(n): 1536
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 13 15 18 20 24 26 27 30 31 36 39 40 45 52 54 60 62 65 72 78 90 93 104 108 117 120 124 127 130 135 155 156 169 180 186 195 216 223 234 248 254 260 263 270 279 310 312 338 351 360 372 381 390 403 446 465 468 507 508 520 526 540 558 585 620 635 669 676 702 744 762 780 789 806 837 845 892 930 936 1014 1016 1052 1080 1115 1116 1143 1170 1209 1240 1270 1315 1338 1352 1395 1404 1521 1524 1560 1578 1612 1651 1674 1690 1755 1784 1860 1905 2007 2015 2028 2104 2230 2232 2286 2340 2367 2418 2535 2540 2630 2676 2790 2808 2899 3042 3048 3156 3224 3302 3345 3348 3380 3419 3429 3510 3627 3720 3810 3937 3945 4014 4030 4056 4185 4460 4563 4572 4680 4734 4836 4953 5070 5080 5239 5260 5352 5580 5715 5798 6021 6045 6084 6312 6604 6690 6696 6760 6838 6858 6913 7020 7101 7254 7605 7620 7874 7890 8028 8060 8153 8255 8370 8697 8920 9126 9144 9468 9672 9906 10035 10140 10257 10478 10520 10881 11160 11430 11596 11811 11835 12042 12090 12168 13208 13380 13676 13716 13826 14040 14202 14495 14508 14859 15210 15240 15717 15748 15780 16056 16120 16306 16510 16740 17095 17145 17394 18135 18252 18936 19685 19812 20070 20280 20514 20739 20956 21463 21762 22815 22860 23192 23622 23670 24084 24180 24459 24765 26091 26195 26760 27352 27432 27652 28321 28404 28990 29016 29718 30105 30420 30771 31434 31496 31560 32612 33020 33401 33480 34190 34290 34565 34788 35433 35505 36270 36504 37687 39370 39624 40140 40765 41028 41478 41912 42926 43485 43524 44447 44577 45630 45720 47151 47244 47340 48168 48360 48918 49530 51181 51285 52182 52390 54405 55304 56642 56808 57980 58649 59055 59436 60210 60840 61542 62217 62868 64389 65224 66040 66802 68380 68580 69130 69576 70866 71010 72540 73377 74295 75374 78273 78585 78740 80280 81530 82056 82956 84963 85852 86970 87048 88894 89154 89869 91260 92313 94302 94488 94680 97836 99060 100203 102362 102570 103695 104364 104780 105989 106299 107315 108810 113061 113284 115960 117298 118110 118872 120420 122295 123084 124434 125736 128778 130455 133341 133604 136760 137160 138260 141453 141605 141732 142020 145080 146754 148590 150748 153543 153855 156546 157170 157480 163060 165912 167005 169926 171704 173940 175947 177165 177788 178308 179738 182520 184626 186651 188435 188604 193167 195672 198120 200406 204724 205140 207390 208728 209560 211978 212598 214630 217620 220131 222235 222885 226122 226568 234596 235755 236220 240840 244590 246168 248868 254889 255905 257556 260910 266682 267208 269607 276520 282906 283210 283464 284040 293245 293508 297180 300609 301496 307086 307710 311085 313092 314340 317967 321945 326120 334010 339183 339852 347880 351894 354330 355576 356616 359476 366885 368173 369252 373302 376870 377208 386334 391365 400023 400812 409448 410280 414780 423956 424815 425196 429260 434213 435240 440262 444470 445770 449345 452244 460629 461565 469192 471510 472440 489180 497736 501015 509778 511810 515112 521820 527841 529945 531495 533364 539214 565305 565812 566420 579501 586490 587016 594360 601218 614172 615420 622170 626184 628680 635934 643890 665353 666705 668020 678366 679704 703788 707265 708660 718952 733770 736346 738504 746604 753740 762437 764667 767715 772668 782730 800046 801624 808821 829560 847912 849630 850392 858520 868426 877951 879735 880524 888940 891540 898690 901827 904488 921258 923130 933255 943020 953901 965835 978360 1002030 1017549 1019556 1023620 1035431 1043640 1055682 1059890 1062990 1066728 1078428 1100655 1104519 1130610 1131624 1132840 1159002 1168297 1172980 1200069 1202436 1228344 1230840 1244340 1271868 1274445 1287780 1302639 1330706 1333410 1336040 1348035 1356732 1377857 1381887 1407576 1414530 1417320 1467540 1472692 1493208 1503045 1507480 1524874 1529334 1535430 1545336 1565460 1583523 1589835 1600092 1617642 1695915 1699260 1736852 1755902 1759470 1761048 1777880 1783080 1797380 1803654 1818119 1840865 1842516 1846260 1866510 1886040 1907802 1931670 1996059 2000115 2004060 2035098 2039112 2047240 2070862 2111364 2119780 2125980 2156856 2171065 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12326432040 12468660102 12587834870 12599124408 12763195380 13071982365 13353634710 13826794995 13854066780 14537451240 15008572345 15105401844 15748905510 16024361652 16592153994 16624880136 17429309820 17804846280 18010286814 18435726660 18881752305 18898686612 20030452065 20781100170 20915171784 20998540680 22122871992 22658102766 23623358265 24013715752 24937320204 25175669740 25526390760 26143964730 26707269420 27015430221 27653589990 27708133560 30017144690 30210803688 31171650255 31497811020 32048723304 33184307988 33987154149 34858619640 36020573628 36871453320 37763504610 37797373224 39022288097 40060904130 41480384985 41562200340 45025717035 45316205532 47246716530 49874640408 50351339480 52287929460 53414538840 54030860442 55307179980 56645256915 60034289380 62343300510 62995622040 66368615976 67974308298 72041147256 75527009220 78044576194 80121808260 81046290663 82960769970 83124400680 90051434070 90632411064 94493433060 104575858920 108061720884 110614359960 113290513830 117066864291 120068578760 124686601020 135077151105 135948616596 151054018440 156089152388 160243616520 162092581326 165921539940 169935770745 180102868140 188986866120 195111440485 216123441768 226581027660 234133728582 249373202040 270154302210 271897233192 312178304776 324185162652 331843079880 339871541490 351200592873 360205736280 390222880970 405231453315 453162055320 468267457164 540308604420 585334321455 648370325304 679743082980 702401185746 780445761940 810462906630 936534914328 1053601778619 1080617208840 1170668642910 1359486165960 1404802371492 1560891523880 1620925813260 1756002964365 2107203557238 2341337285820 2809604742984 3241851626520 3512005928730 4214407114476 4682674571640 5268008893095 7024011857460 8428814228952 10536017786190 14048023714920 21072035572380 42144071144760
- Sum of all divisors σ(n): 159575231692800
- Sum of proper divisors (its aliquot sum) s(n): 117431160548040
- 42144071144760 is an abundant number, because the sum of its proper divisors (117431160548040) is greater than itself. Its abundance is 75287089403280
Bases of 42144071144760
- Binary: 10011001010100011011100110001111010101001110002
- Hexadecimal: 0x26546E63D538
- Base-36: EXSPVTY60
Squares and roots of 42144071144760
- 42144071144760 squared (421440711447602) is 1776122732654592456875457600
- 42144071144760 cubed (421440711447603) is 74853042806820689757702527309180842176000
-
The
square root of 42144071144760 is 6491846.5127234793 -
The
cube root of 42144071144760 is 34799.9667351049
Scales and comparisons
How big is 42144071144760?- 42,144,071,144,760 seconds is equal to 1,340,051 years, 5 weeks, 2 days, 5 hours, 6 minutes.
-
To count from 1 to 42,144,071,144,760 would take you about three million, three hundred fifty thousand, one hundred twenty-seven 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 42144071144760 cubic inches would be around 2900 feet tall.
Recreational maths with 42144071144760
- 42144071144760 backwards is 06744117044124
- 42144071144760 is a
Harshad number . - The number of decimal digits it has is: 14
- The sum of 42144071144760's digits is 45
- More coming soon!
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"Number 42144071144760 - Facts about the integer". Numbermatics.com. 2024. Web. 24 June 2024.
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Numbermatics. (2024). Number 42144071144760 - Facts about the integer. Retrieved 24 June 2024, from https://numbermatics.com/n/42144071144760/
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The information we have on file for 42144071144760 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 42144071144760, math, Factors of 42144071144760, curriculum, school, college, exams, university, Prime factorization of 42144071144760, STEM, science, technology, engineering, physics, economics, calculator, forty-two trillion, one hundred forty-four billion, seventy-one million, one hundred forty-four thousand, seven hundred sixty.