42144988891824
42,144,988,891,824 is an even composite number composed of seven prime numbers multiplied together.
What does the number 42144988891824 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 1440 divisors.
42144988891824 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of one thousand, four hundred forty divisors.
Prime factorization of 42144988891824:
24 × 33 × 7 × 132 × 192 × 31 × 7369
(2 × 2 × 2 × 2 × 3 × 3 × 3 × 7 × 13 × 13 × 19 × 19 × 31 × 7369)See below for interesting mathematical facts about the number 42144988891824 from the Numbermatics database.
Names of 42144988891824
- Cardinal: 42144988891824 can be written as Forty-two trillion, one hundred forty-four billion, nine hundred eighty-eight million, eight hundred ninety-one thousand, eight hundred twenty-four.
Scientific notation
- Scientific notation: 4.2144988891824 × 1013
Factors of 42144988891824
Divisors of 42144988891824
- Number of divisors d(n): 1440
-
Complete list of divisors:
1 2 3 4 6 7 8 9 12 13 14 16 18 19 21 24 26 27 28 31 36 38 39 42 48 52 54 56 57 62 63 72 76 78 84 91 93 104 108 112 114 117 124 126 133 144 152 156 168 169 171 182 186 189 208 216 217 228 234 247 248 252 266 273 279 304 312 336 338 342 351 361 364 372 378 399 403 432 434 456 468 494 496 504 507 513 532 546 558 589 624 651 676 684 702 722 728 741 744 756 798 806 819 837 868 912 936 988 1008 1014 1026 1064 1083 1092 1116 1178 1183 1197 1209 1302 1352 1368 1404 1444 1456 1482 1488 1512 1521 1596 1612 1638 1674 1729 1736 1767 1872 1953 1976 2028 2052 2128 2166 2184 2223 2232 2356 2366 2394 2418 2457 2527 2604 2704 2736 2808 2821 2888 2964 3024 3042 3192 3211 3224 3249 3276 3348 3458 3472 3534 3549 3591 3627 3906 3952 4056 4104 4123 4332 4368 4446 4464 4563 4693 4712 4732 4788 4836 4914 5054 5187 5208 5239 5301 5616 5642 5776 5859 5928 6084 6384 6422 6448 6498 6552 6669 6696 6916 7068 7098 7182 7254 7369 7581 7657 7812 8112 8208 8246 8463 8664 8892 9126 9386 9424 9464 9576 9633 9672 9747 9828 10108 10374 10416 10478 10602 10647 10881 11191 11284 11718 11856 12168 12369 12844 12996 13104 13338 13392 13832 14079 14136 14196 14364 14508 14738 15162 15314 15561 15624 15717 15903 16492 16926 17328 17784 18252 18772 18928 19152 19266 19344 19494 19656 20216 20748 20956 21204 21294 21762 22107 22382 22477 22568 22743 22971 23436 24336 24738 25389 25688 25992 26676 27664 28158 28272 28392 28728 28899 29016 29476 30324 30628 31122 31248 31434 31806 31941 32851 32984 33573 33852 35568 36504 36673 37107 37544 38532 38988 39312 40432 41496 41912 42237 42408 42588 43524 44214 44764 44954 45136 45486 45942 46683 46872 47151 49476 50778 51376 51583 51984 53352 53599 56316 56784 57456 57798 58032 58952 60648 61009 61256 62244 62868 63612 63882 65702 65968 66321 67146 67431 67704 68229 68913 73008 73346 74214 75088 76167 77064 77976 78337 82992 83824 84474 84816 85176 86697 87048 88428 89528 89908 90972 91884 93366 93744 94302 95797 98553 98952 99541 100719 101556 103166 106704 107198 110019 111321 112632 115596 117904 121296 122018 122512 124488 125736 126711 127224 127764 131404 132642 134292 134862 135408 136458 137826 140011 141453 145483 146692 148428 152334 154128 154749 155952 156674 160797 168948 170352 173394 174096 176856 179056 179816 181944 183027 183768 186732 188604 191594 197106 197904 198963 199082 201438 202293 203112 206332 206739 214396 220038 222642 225264 228439 231192 235011 244036 248976 251472 253422 254448 255528 262808 265284 268584 269724 272916 275652 280022 282906 287391 290966 293384 295659 296856 298623 302157 304668 309498 313348 321594 330057 337896 346788 353712 359632 363888 366054 367536 373464 377208 383188 394212 397926 398164 402876 404586 406224 412664 413478 420033 427063 428792 436449 440076 445284 456878 462384 464247 470022 482391 488072 506844 511056 525616 530568 537168 539448 545832 549081 551304 560044 565812 574782 581932 586768 591318 593712 597246 604314 606879 609336 618996 626696 643188 660114 670579 675792 685317 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14939733744 15008899178 15403870209 15586164531 16184711556 16677874512 17153027632 17429689368 17604423096 17812759464 17888365404 18882163482 18958609488 19297156086 19457520264 19804975983 20538493612 20781552708 21328435674 21579615408 22513348767 23851153872 24277067334 24375355056 25176217976 25729541448 26144534052 26406634644 27708736944 27873669902 28323245223 28437914232 28945734129 29186280396 30017798356 30807740418 31172329062 32369423112 34859378736 35208846192 35625518928 35776730808 37764326964 38594312172 38915040528 39609951966 41076987224 41563105416 41810504853 42656871348 45026697534 46211610627 48554134668 50352435952 51459082896 52289068104 52813269288 55747339804 56646490446 56875828464 57891468258 58372560792 60035596712 61615480836 62344658124 64738846224 67540046301 71553461616 75528653928 77188624344 79219903932 82153974448 83126210832 83621009706 84969735669 85313742696 90053395068 92423221254 97108269336 97557844657 104578136208 105626538576 111494679608 113292980892 115782936516 116745121584 120071193424 123230961672 124689316248 125431514559 135080092602 138634831881 151057307856 154377248688 158439807864 167242019412 169939471338 170627485392 180106790136 184846442508 194216538672 195115689314 202620138903 222989359216 226585961784 231565873032 246461923344 249378632496 250863029118 270160185204 277269663762 292673533971 316879615728 334484038824 339878942676 360213580272 369692885016 376294543677 390231378628 405240277806 453171923568 463131746064 501726058236 540320370408 554539327524 585347067942 668968077648 679757885352 739385770032 752589087354 780462757256 810480555612 878020601913 1003452116472 1080640740816 1109078655048 1170694135884 1359515770704 1505178174708 1560925514512 1620961111224 1756041203826 2006904232944 2218157310096 2341388271768 2634061805739 3010356349416 3241922222448 3512082407652 4682776543536 5268123611478 6020712698832 7024164815304 10536247222956 14048329630608 21072494445912 42144988891824
- Sum of all divisors σ(n): 163119245414400
- Sum of proper divisors (its aliquot sum) s(n): 120974256522576
- 42144988891824 is an abundant number, because the sum of its proper divisors (120974256522576) is greater than itself. Its abundance is 78829267630752
Bases of 42144988891824
- Binary: 10011001010100101001010001011110001010101100002
- Hexadecimal: 0x2654A5178AB0
- Base-36: EXT528GC0
Squares and roots of 42144988891824
- 42144988891824 squared (421449888918242) is 1776200088691968351574046976
- 42144988891824 cubed (421449888918243) is 74857933007579809771093974089129158324224
-
The
square root of 42144988891824 is 6491917.1969321975 -
The
cube root of 42144988891824 is 34800.2193395213
Scales and comparisons
How big is 42144988891824?- 42,144,988,891,824 seconds is equal to 1,340,080 years, 14 weeks, 5 days, 6 hours, 50 minutes, 24 seconds.
-
To count from 1 to 42,144,988,891,824 would take you about three million, three hundred fifty thousand, two 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 42144988891824 cubic inches would be around 2900 feet tall.
Recreational maths with 42144988891824
- 42144988891824 backwards is 42819888944124
- 42144988891824 is a
Harshad number . - The number of decimal digits it has is: 14
- The sum of 42144988891824's digits is 72
- More coming soon!
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"Number 42144988891824 - Facts about the integer". Numbermatics.com. 2024. Web. 4 June 2024.
APA style:
Numbermatics. (2024). Number 42144988891824 - Facts about the integer. Retrieved 4 June 2024, from https://numbermatics.com/n/42144988891824/
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The information we have on file for 42144988891824 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 42144988891824, math, Factors of 42144988891824, curriculum, school, college, exams, university, Prime factorization of 42144988891824, STEM, science, technology, engineering, physics, economics, calculator, forty-two trillion, one hundred forty-four billion, nine hundred eighty-eight million, eight hundred ninety-one thousand, eight hundred twenty-four.