42985082138107200
42,985,082,138,107,200 is an even composite number composed of nine prime numbers multiplied together.
What does the number 42985082138107200 look like?
This visualization shows the relationship between its 9 prime factors (large circles) and 2688 divisors.
42985082138107200 is an even composite number. It is composed of nine distinct prime numbers multiplied together. It has a total of two thousand, six hundred eighty-eight divisors.
Prime factorization of 42985082138107200:
26 × 3 × 52 × 7 × 13 × 37 × 113 × 4733 × 4973
(2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 7 × 13 × 37 × 113 × 4733 × 4973)See below for interesting mathematical facts about the number 42985082138107200 from the Numbermatics database.
Names of 42985082138107200
- Cardinal: 42985082138107200 can be written as Forty-two quadrillion, nine hundred eighty-five trillion, eighty-two billion, one hundred thirty-eight million, one hundred seven thousand, two hundred.
Scientific notation
- Scientific notation: 4.29850821381072 × 1016
Factors of 42985082138107200
Divisors of 42985082138107200
- Number of divisors d(n): 2688
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Complete list of divisors:
1 2 3 4 5 6 7 8 10 12 13 14 15 16 20 21 24 25 26 28 30 32 35 37 39 40 42 48 50 52 56 60 64 65 70 74 75 78 80 84 91 96 100 104 105 111 112 113 120 130 140 148 150 156 160 168 175 182 185 192 195 200 208 210 222 224 226 240 259 260 273 280 296 300 312 320 325 336 339 350 364 370 390 400 416 420 444 448 452 455 480 481 518 520 525 546 555 560 565 592 600 624 650 672 678 700 728 740 777 780 791 800 832 840 888 904 910 925 960 962 975 1036 1040 1050 1092 1110 1120 1130 1184 1200 1248 1295 1300 1344 1356 1365 1400 1443 1456 1469 1480 1554 1560 1582 1600 1680 1695 1776 1808 1820 1850 1924 1950 2072 2080 2100 2184 2220 2240 2260 2275 2368 2373 2400 2405 2496 2590 2600 2712 2730 2775 2800 2825 2886 2912 2938 2960 3108 3120 3164 3360 3367 3390 3552 3616 3640 3700 3848 3885 3900 3955 4144 4160 4181 4200 4368 4407 4440 4520 4550 4733 4746 4800 4810 4973 5180 5200 5424 5460 5550 5600 5650 5772 5824 5876 5920 6216 6240 6328 6475 6720 6734 6780 6825 7104 7215 7232 7280 7345 7400 7696 7770 7800 7910 8288 8362 8400 8475 8736 8814 8880 9040 9100 9466 9492 9620 9946 10101 10283 10360 10400 10848 10920 11100 11200 11300 11544 11752 11840 11865 12025 12432 12480 12543 12656 12950 13468 13560 13650 14199 14430 14560 14690 14800 14919 15392 15540 15600 15820 16576 16724 16800 16835 16950 17472 17628 17760 18080 18200 18932 18984 19240 19425 19775 19892 20202 20566 20720 20800 20905 21696 21840 22035 22200 22600 23088 23504 23665 23730 24050 24864 24865 25086 25312 25900 26936 27120 27300 28398 28860 29120 29267 29380 29600 29838 30784 30849 31080 31200 31640 33131 33448 33600 33670 33900 34811 35256 35520 36075 36160 36400 36725 37864 37968 38480 38850 39550 39784 40404 41132 41440 41810 43680 44070 44400 45200 46176 47008 47330 47460 48100 49728 49730 50172 50505 50624 51415 51800 53872 54240 54353 54600 56796 57720 58534 58760 59200 59325 59676 61529 61698 62160 62400 62715 63280 64649 66262 66896 67340 67800 69622 70512 70995 72150 72800 73450 74595 75728 75936 76960 77700 79100 79568 80808 82264 82880 83620 84175 87360 87801 88140 88800 90400 92352 94016 94660 94920 96200 99393 99460 100344 101010 102830 103600 104433 104525 107744 108480 108706 109200 110175 113592 115440 117068 117520 118325 118650 119352 123058 123396 124320 124325 125430 126560 129298 132524 133792 134680 135600 139244 141024 141990 144300 145600 146335 146900 149190 151456 151872 153920 154245 155400 158200 159136 161616 163059 164528 165655 167240 168350 174055 175121 175602 176280 177600 180800 184001 184587 189320 189840 192400 193947 198786 198920 200688 202020 205660 207200 208866 209050 215488 217412 218400 220350 227184 230880 234136 235040 236650 237300 238704 246116 246792 248640 248650 250860 252525 253120 257075 258596 265048 267584 269360 271200 271765 278488 282048 283980 288600 292670 293800 298380 302912 307645 308490 310800 313575 316400 318272 323232 323245 326118 329056 331310 334480 336700 348110 350242 351204 352560 354975 368002 369174 372975 378640 379680 380471 384800 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2173708325568 2212874241344 2234151878280 2264279505800 2270498739600 2361817699896 2377493481090 2420331201470 2438454852400 2460226770725 2535993046496 2553316432320 2558635841554 2570263222800 2593212001575 2717135406960 2755453983212 2766092801680 2792689847850 2881230788800 2904397441764 2926145822880 2952272124870 2978869171040 3027331652800 3149090266528 3169991308120 3191645540400 3319311362016 3396419258700 3427017630400 3444317479015 3457616002100 3574643005248 3622847209280 3630496802205 3657682278600 3723586463800 3803989569744 3837953762331 3872529922352 3936362833160 3962489135150 4133180974818 4149139202520 4180208318400 4255527387200 4321846183200 4468303756560 4528559011600 4540997479200 4723635399792 4754986962180 4840662402940 4876909704800 4920453541450 5071986092992 5117271683108 5140526445600 5186424003150 5434270813920 5510907966424 5532185603360 5585379695700 5808794883528 5852291645760 5904544249740 5943733702725 5957738342080 6050828003675 6298180533056 6339982616240 6383291080800 6396589603885 6638622724032 6792838517400 6888634958030 6915232004200 7260993604410 7315364557200 7380680312175 7447172927600 7607979139488 7675907524662 7745059844704 7872725666320 7924978270300 8266361949636 8298278405040 8643692366400 8936607513120 8955225445439 9057118023200 9081994958400 9447270799584 9509973924360 9681324805880 9753819409600 9840907082900 10234543366216 10281052891200 10332952437045 10372848006300 10868541627840 11021815932848 11064371206720 11170759391400 11617589767056 11809088499480 11887467405450 12101656007350 12679965232480 12766582161600 12793179207770 13585677034800 13777269916060 13830464008400 14521987208820 14630729114400 14761360624350 14894345855200 15215958278976 15351815049324 15490119689408 15745451332640 15849956540600 16532723899272 16596556810080 17221587395075 17873215026240 17910450890878 18114236046400 18152484011025 18894541599168 19019947848720 19189768811655 19362649611760 19681814165800 20469086732432 20665904874090 20745696012600 22043631865696 22341518782800 23235179534112 23618176998960 23774934810900 24203312014700 25359930464960 25586358415540 26865676336317 27171354069600 27554539832120 27660928016800 29043974417640 29261458228800 29522721248700 29788691710400 30703630098648 31490902665280 31699913081200 31982948019425 33065447798544 33193113620160 34443174790150 35820901781756 36304968022050 38039895697440 38379537623310 38725299223520 39363628331600 40938173464864 41331809748180 41491392025200 44087263731392 44683037565600 44776127227195 46470359068224 47236353997920 47549869621800 48406624029400 51172716831080 51664762185225 53731352672634 54342708139200 55109079664240 55321856033600 58087948835280 59045442497400 61407260197296 63399826162400 63965896038850 66130895597088 68886349580300 71641803563512 72609936044100 76079791394880 76759075246620 77450598447040 78727256663200 81876346929728 82663619496360 82982784050400 89366075131200 89552254454390 94472707995840 95099739243600 95948844058275 96813248058800 102345433662160 103329524370450 107462705345268 110218159328480 116175897670560 118090884994800 122814520394592 126799652324800 127931792077700 132261791194176 134328381681585 137772699160600 143283607127024 145219872088200 153518150493240 157454513326400 165327238992720 165965568100800 179104508908780 190199478487200 191897688116550 193626496117600 204690867324320 206659048740900 214925410690536 220436318656960 223880636135975 232351795341120 236181769989600 245629040789184 255863584155400 268656763363170 275545398321200 286567214254048 290439744176400 307036300986480 330654477985440 358209017817560 380398956974400 383795376233100 387252992235200 409381734648640 413318097481800 429850821381072 447761272271950 472363539979200 511727168310800 537313526726340 551090796642400 573134428508096 580879488352800 614072601972960 661308955970880 671641908407925 716418035635120 767590752466200 826636194963600 859701642762144 895522544543900 1023454336621600 1074627053452680 1102181593284800 1161758976705600 1228145203945920 1343283816815850 1432836071270240 1535181504932400 1653272389927200 1719403285524288 1791045089087800 2046908673243200 2149254106905360 2686567633631700 2865672142540480 3070363009864800 3306544779854400 3582090178175600 4298508213810720 5373135267263400 6140726019729600 7164180356351200 8597016427621440 10746270534526800 14328360712702400 21492541069053600 42985082138107200
- Sum of all divisors σ(n): 179914394383782912
- Sum of proper divisors (its aliquot sum) s(n): 136929312245675712
- 42985082138107200 is an abundant number, because the sum of its proper divisors (136929312245675712) is greater than itself. Its abundance is 93944230107568512
Bases of 42985082138107200
- Binary: 100110001011011010110100010101110111101110011101010000002
- Hexadecimal: 0x98B6B4577B9D40
- Base-36: BR8XU4F3I2O
Squares and roots of 42985082138107200
- 42985082138107200 squared (429850821381072002) is 1847717286419822652654398691840000
- 42985082138107200 cubed (429850821381072003) is 79424279324756623968846576484106701893685248000000
-
The
square root of 42985082138107200 is 207328440.2538812329 -
The
cube root of 42985082138107200 is 350299.2872375675
Scales and comparisons
How big is 42985082138107200?- 42,985,082,138,107,200 seconds is equal to 1,366,792,650 years, 20 weeks, 6 days, 14 hours, 40 minutes.
-
To count from 1 to 42,985,082,138,107,200 would take you about four billion, one hundred million, three hundred seventy-seven thousand, nine hundred fifty-one 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 42985082138107200 cubic inches would be around 29191.6 feet tall.
Recreational maths with 42985082138107200
- 42985082138107200 backwards is 00270183128058924
- 42985082138107200 is a
Harshad number . - The number of decimal digits it has is: 17
- The sum of 42985082138107200's digits is 60
- More coming soon!
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Cite this page
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"Number 42985082138107200 - Facts about the integer". Numbermatics.com. 2024. Web. 26 May 2024.
APA style:
Numbermatics. (2024). Number 42985082138107200 - Facts about the integer. Retrieved 26 May 2024, from https://numbermatics.com/n/42985082138107200/
Chicago style:
Numbermatics. 2024. "Number 42985082138107200 - Facts about the integer". https://numbermatics.com/n/42985082138107200/
The information we have on file for 42985082138107200 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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