42516128746728
42,516,128,746,728 is an even composite number composed of six prime numbers multiplied together.
What does the number 42516128746728 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 1152 divisors.
42516128746728 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one thousand, one hundred fifty-two divisors.
Prime factorization of 42516128746728:
23 × 33 × 72 × 135 × 31 × 349
(2 × 2 × 2 × 3 × 3 × 3 × 7 × 7 × 13 × 13 × 13 × 13 × 13 × 31 × 349)See below for interesting mathematical facts about the number 42516128746728 from the Numbermatics database.
Names of 42516128746728
- Cardinal: 42516128746728 can be written as Forty-two trillion, five hundred sixteen billion, one hundred twenty-eight million, seven hundred forty-six thousand, seven hundred twenty-eight.
Scientific notation
- Scientific notation: 4.2516128746728 × 1013
Factors of 42516128746728
Divisors of 42516128746728
- Number of divisors d(n): 1152
-
Complete list of divisors:
1 2 3 4 6 7 8 9 12 13 14 18 21 24 26 27 28 31 36 39 42 49 52 54 56 62 63 72 78 84 91 93 98 104 108 117 124 126 147 156 168 169 182 186 189 196 216 217 234 248 252 273 279 294 312 338 349 351 364 372 378 392 403 434 441 468 504 507 546 558 588 637 651 676 698 702 728 744 756 806 819 837 868 882 936 1014 1047 1092 1116 1176 1183 1209 1274 1302 1323 1352 1396 1404 1512 1519 1521 1612 1638 1674 1736 1764 1911 1953 2028 2094 2184 2197 2232 2366 2418 2443 2457 2548 2604 2646 2792 2808 2821 3038 3042 3141 3224 3276 3348 3528 3549 3627 3822 3906 4056 4188 4394 4537 4557 4563 4732 4836 4886 4914 5096 5208 5239 5292 5642 5733 5859 6076 6084 6282 6552 6591 6696 7098 7254 7329 7644 7812 8281 8376 8463 8788 9074 9114 9126 9423 9464 9672 9772 9828 10478 10584 10647 10819 10881 11284 11466 11718 12152 12168 12564 13182 13611 13671 14196 14508 14658 15288 15379 15624 15717 16562 16926 17101 17199 17576 18148 18228 18252 18846 19544 19656 19747 19773 20956 21294 21638 21762 21987 22568 22932 23436 24843 25128 25389 26364 27222 27342 28392 28561 29016 29316 30758 31434 31759 31941 32457 33124 33852 34202 34398 36296 36456 36504 36673 37692 39494 39546 40833 41013 41912 42588 43276 43524 43974 45864 46137 46872 47151 49686 50778 51303 52728 54444 54684 57122 58632 58981 59241 59319 61516 62868 63518 63882 64914 65961 66248 67704 68107 68404 68796 73346 74529 75384 75733 76167 78988 79092 81666 82026 85176 85683 86552 87048 87948 92274 94302 95277 97371 99372 101556 102606 107653 108888 109368 110019 114244 117962 118482 118638 122499 123032 125736 127036 127764 129828 131922 136214 136808 137592 138411 140647 141453 146692 149058 151466 152334 153909 157976 158184 163332 164052 171366 175896 176943 177723 184548 188604 190554 194742 198744 199927 203112 204321 205212 215306 220038 222313 223587 227199 228488 235924 236964 237276 244998 254072 255528 256711 257049 259656 263844 272428 276822 281294 282906 285831 292113 293384 298116 302932 304668 307818 322959 326664 328104 330057 342732 353886 355446 369096 371293 377208 381108 389484 399854 408642 410424 412867 415233 421941 430612 440076 444626 447174 454398 461727 471848 473928 474552 476749 489996 513422 514098 527688 530131 530829 533169 544856 553644 562588 565812 571662 584226 596232 599781 605864 609336 612963 615636 645918 660114 666939 681597 685464 707772 710892 742586 762216 766753 770133 771147 778968 799708 817284 825734 830466 843882 857493 861224 880152 885391 889252 894348 908796 923454 953498 968877 979992 984529 990171 1026844 1028196 1060262 1061658 1066338 1107288 1113879 1125176 1131624 1143324 1168452 1199562 1225926 1231272 1238601 1265823 1291836 1320228 1333878 1363194 1399489 1415544 1421784 1430247 1485172 1533506 1540266 1542294 1590393 1592487 1599416 1634568 1651468 1660932 1687764 1714986 1770782 1778504 1788696 1799343 1817592 1828411 1838889 1846908 1906996 1937754 1969058 1980342 2000817 2044791 2053688 2056392 2120524 2123316 2132676 2227758 2286648 2300259 2310399 2336904 2399124 2451852 2477202 2531646 2583672 2599051 2640456 2656173 2667756 2726388 2798978 2860494 2890069 2906631 2953587 2970344 3067012 3080532 3084588 3180786 3184974 3302936 3321864 3337243 3341637 3375528 3429972 3541564 3598686 3656822 3677778 3693816 3715803 3797469 3813992 3875508 3938116 3960684 4001634 4089582 4198467 4241048 4246632 4265352 4290741 4455516 4600518 4620798 4771179 4798248 4903704 4954404 5063292 5198102 5312346 5335512 5367271 5398029 5452776 5485233 5597956 5720988 5780138 5813262 5907174 6002451 6134024 6161064 6169176 6197737 6361572 6369948 6674486 6683274 6859944 6891703 6900777 6931197 7083128 7197372 7313644 7355556 7431606 7594938 7751016 7797153 7876232 7921368 7968519 8003268 8179164 8396934 8581482 8670207 8860761 8911032 9201036 9241596 9542358 9908808 9967789 10011729 10024911 10126584 10396204 10624692 10734542 10796058 10970466 11147409 11195912 11441976 11510083 11560276 11626524 11814348 12004902 12395474 12595401 12723144 12739896 12798877 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13976373684 13994775756 15071296968 15141071491 15227839809 16068075868 16327238382 16686078786 17304081704 17403245496 17583179796 17969623308 19048444779 19351902024 19467091917 20303786412 20964560526 21769651176 22248105048 24102113802 24490857573 25397926372 25956122556 26374769694 27952747368 27989551512 28119132769 30282142982 30455679618 31446840789 32136151736 32654476764 33372157572 35166359592 35939246616 36153170703 38096889558 38934183834 40607572824 41929121052 45423214473 48204227604 48981715146 50795852744 51912245112 52749539388 56238265538 57145334337 58401275751 60564285964 60911359236 62893681578 65308953528 66744315144 72306341406 76193779116 77868367668 83858242104 84357398307 90846428946 96408455208 97963430292 105499078776 108459512109 112476531076 114290668674 116802551502 121128571928 121822718472 125787363156 136269643419 144612682812 152387558232 155736735336 168714796614 171436003011 181692857892 195926860584 196833929383 216919024218 224953062152 228581337348 233605103004 251574726312 253072194921 272539286838 289225365624 337429593228 342872006022 363385715784 393667858766 408808930257 433838048436 457162674696 467210206008 506144389842 545078573676 590501788149 674859186456 685744012044 759216584763 787335717532 817617860514 867676096872 1012288779684 1090157147352 1181003576298 1371488024088 1518433169526 1574671435064 1635235721028 1771505364447 2024577559368 2362007152596 3036866339052 3270471442056 3543010728894 4724014305192 5314516093341 6073732678104 7086021457788 10629032186682 14172042915576 21258064373364 42516128746728
- Sum of all divisors σ(n): 154071711360000
- Sum of proper divisors (its aliquot sum) s(n): 111555582613272
- 42516128746728 is an abundant number, because the sum of its proper divisors (111555582613272) is greater than itself. Its abundance is 69039453866544
Bases of 42516128746728
- Binary: 10011010101011000011101100000001001100111010002
- Hexadecimal: 0x26AB0EC04CE8
- Base-36: F2JN1BL60
Squares and roots of 42516128746728
- 42516128746728 squared (425161287467282) is 1807621203608351015970705984
- 42516128746728 cubed (425161287467283) is 76853055817928079791997317319883290020352
-
The
square root of 42516128746728 is 6520439.3062682517 -
The
cube root of 42516128746728 is 34902.0742293453
Scales and comparisons
How big is 42516128746728?- 42,516,128,746,728 seconds is equal to 1,351,881 years, 19 weeks, 6 days, 10 hours, 58 minutes, 48 seconds.
-
To count from 1 to 42,516,128,746,728 would take you about three million, three hundred seventy-nine thousand, seven hundred three 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 42516128746728 cubic inches would be around 2908.5 feet tall.
Recreational maths with 42516128746728
- 42516128746728 backwards is 82764782161524
- 42516128746728 is a
Harshad number . - The number of decimal digits it has is: 14
- The sum of 42516128746728's digits is 63
- More coming soon!
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"Number 42516128746728 - Facts about the integer". Numbermatics.com. 2024. Web. 7 June 2024.
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The information we have on file for 42516128746728 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 42516128746728, math, Factors of 42516128746728, curriculum, school, college, exams, university, Prime factorization of 42516128746728, STEM, science, technology, engineering, physics, economics, calculator, forty-two trillion, five hundred sixteen billion, one hundred twenty-eight million, seven hundred forty-six thousand, seven hundred twenty-eight.