42144031683936
42,144,031,683,936 is an even composite number composed of five prime numbers multiplied together.
What does the number 42144031683936 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 972 divisors.
42144031683936 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of nine hundred seventy-two divisors.
Prime factorization of 42144031683936:
25 × 35 × 72 × 132 × 8092
(2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 7 × 7 × 13 × 13 × 809 × 809)See below for interesting mathematical facts about the number 42144031683936 from the Numbermatics database.
Names of 42144031683936
- Cardinal: 42144031683936 can be written as Forty-two trillion, one hundred forty-four billion, thirty-one million, six hundred eighty-three thousand, nine hundred thirty-six.
Scientific notation
- Scientific notation: 4.2144031683936 × 1013
Factors of 42144031683936
Divisors of 42144031683936
- Number of divisors d(n): 972
-
Complete list of divisors:
1 2 3 4 6 7 8 9 12 13 14 16 18 21 24 26 27 28 32 36 39 42 48 49 52 54 56 63 72 78 81 84 91 96 98 104 108 112 117 126 144 147 156 162 168 169 182 189 196 208 216 224 234 243 252 273 288 294 312 324 336 338 351 364 378 392 416 432 441 468 486 504 507 546 567 588 624 637 648 672 676 702 728 756 784 809 819 864 882 936 972 1008 1014 1053 1092 1134 1176 1183 1248 1274 1296 1323 1352 1404 1456 1512 1521 1568 1618 1638 1701 1764 1872 1911 1944 2016 2028 2106 2184 2268 2352 2366 2427 2457 2548 2592 2646 2704 2808 2912 3024 3042 3159 3236 3276 3402 3528 3549 3744 3822 3888 3969 4056 4212 4368 4536 4563 4704 4732 4854 4914 5096 5292 5408 5616 5663 5733 6048 6084 6318 6472 6552 6804 7056 7098 7281 7371 7644 7776 7938 8112 8281 8424 8736 9072 9126 9464 9708 9828 10192 10517 10584 10647 11232 11326 11466 11907 12168 12636 12944 13104 13608 13689 14112 14196 14562 14742 15288 15876 16224 16562 16848 16989 17199 18144 18252 18928 19416 19656 20384 21034 21168 21294 21843 22113 22652 22932 23814 24336 24843 25272 25888 26208 27216 27378 28392 29124 29484 30576 31551 31752 31941 33124 33696 33978 34398 36504 37856 38832 39312 39641 41067 42068 42336 42588 43686 44226 45304 45864 47628 48672 49686 50544 50967 51597 54432 54756 56784 58248 58968 61152 63102 63504 63882 65529 66248 67956 68796 73008 73619 74529 77664 78624 79282 82134 84136 85176 87372 88452 90608 91728 94653 95256 95823 99372 101088 101934 103194 109512 113568 116496 117936 118923 126204 127008 127764 131058 132496 135912 136721 137592 146016 147238 149058 152901 154791 158564 164268 168272 170352 174744 176904 181216 183456 189306 190512 191646 196587 198744 203868 206388 219024 220857 223587 232992 235872 237846 252408 255528 262116 264992 271824 273442 275184 283959 287469 294476 298116 305802 309582 317128 328536 336544 340704 349488 353808 356769 378612 381024 383292 393174 397488 407736 410163 412776 438048 441714 447174 458703 475692 504816 511056 515333 524232 543648 546884 550368 567918 574938 588952 596232 611604 619164 634256 654481 657072 662571 670761 698976 707616 713538 757224 766584 786348 794976 815472 820326 825552 851877 883428 894348 917406 951384 957047 1009632 1022112 1030666 1048464 1070307 1093768 1135836 1149876 1177904 1192464 1223208 1230489 1238328 1268512 1308962 1314144 1325142 1341522 1376109 1427076 1514448 1533168 1545999 1572696 1630944 1640652 1651104 1703754 1766856 1788696 1834812 1902768 1914094 1963443 1987713 2012283 2061332 2096928 2140614 2187536 2271672 2299752 2355808 2384928 2446416 2460978 2476656 2555631 2617924 2650284 2683044 2752218 2854152 2871141 3028896 3066336 3091998 3145392 3210921 3281304 3407508 3533712 3577392 3669624 3691467 3805536 3828188 3926886 3975426 4024566 4122664 4281228 4375072 4543344 4581367 4599504 4637997 4892832 4921956 4953312 5111262 5235848 5300568 5366088 5504436 5708304 5742282 5890329 5963139 6183996 6290784 6421842 6562608 6699329 6815016 7067424 7154784 7339248 7382934 7656376 7853772 7950852 8049132 8245328 8508253 8562456 8613423 9086688 9162734 9199008 9275994 9632763 9843912 10222524 10471696 10601136 10732176 11008872 11074401 11416608 11484564 11780658 11926278 12367992 12843684 13125216 13398658 13630032 13744101 13913991 14678496 14765868 15312752 15707544 15901704 16098264 16490656 17016506 17124912 17226846 17670987 17889417 18325468 18551988 19265526 19687824 20097987 20445048 20943392 21202272 21464352 22017744 22148802 22969128 23561316 23852556 24735984 25524759 25687368 25840269 26797316 27260064 27488202 27827982 29531736 30625504 31415088 31803408 32069569 32196528 33223203 34033012 34249824 34453692 35341974 35778834 36650936 37103976 38531052 39375648 40195974 40890096 41232303 41741973 44035488 44297604 45938256 47122632 47705112 49471968 51049518 51374736 51680538 53012961 53594632 54976404 55655964 59063472 59557771 60293961 62830176 63606816 64139138 64393056 66446406 68066024 68907384 70683948 71557668 73301872 74207952 76574277 77062104 77520807 80391948 81780192 82464606 83483946 88595208 91876512 94245264 95410224 96208707 102099036 102749472 103361076 106025922 107189264 109952808 110607289 111311928 118126944 119115542 120587922 123696909 125225919 128278276 132892812 136132048 137814768 141367896 143115336 146603744 148415904 153148554 154124208 155041614 159038883 160783896 164929212 166967892 177190416 178673313 180881883 188490528 190820448 192417414 204198072 206722152 212051844 214378528 219905616 221214578 222623856 229722831 232562421 238231084 241175844 247393818 250451838 256556552 265785624 272264096 275629536 282735792 286230672 288626121 306297108 308248416 310083228 318077766 321567792 329858424 331821867 333935784 354380832 357346626 361763766 371090727 384834828 408396144 413444304 416904397 424103688 439811232 442429156 445247712 459445662 465124842 476462168 482351688 494787636 500903676 513113104 531571248 536019939 542645649 565471584 572461344 577252242 612594216 620166456 636155532 643135584 659716848 663643734 667871568 689168493 714693252 723527532 742181454 769669656 774251023 816792288 826888608 833808794 848207376 865878363 884858312 918891324 930249684 952924336 964703376 989575272 995465601 1001807352 1026226208 1063142496 1072039878 1085291298 1113272181 1154504484 1225188432 1240332912 1250713191 1272311064 1319433696 1327287468 1335743136 1378336986 1429386504 1447055064 1484362908 1539339312 1548502046 1608059817 1627936947 1667617588 1696414752 1731756726 1769716624 1837782648 1860499368 1905848672 1929406752 1979150544 1990931202 2003614704 2067505479 2144079756 2170582596 2226544362 2309008968 2322753069 2450376864 2480665824 2501426382 2544622128 2597635089 2654574936 2756673972 2858773008 2894110128 2968725816 2986396803 3078678624 3097004092 3216119634 3255873894 3335235176 3463513452 3539433248 3675565296 3720998736 3752139573 3958301088 3981862404 4007229408 4135010958 4288159512 4341165192 4453088724 4618017936 4645506138 4824179451 5002852764 5089244256 5195270178 5309149872 5419757161 5513347944 5717546016 5788220256 5937451632 5972793606 6194008184 6432239268 6511747788 6670470352 6927026904 6968259207 7351130592 7441997472 7504279146 7792905267 7963724808 8270021916 8576319024 8682330384 8906177448 8959190409 9236035872 9291012276 9648358902 10005705528 10390540356 10618299744 10839514322 11026695888 11256418719 11874903264 11945587212 12388016368 12864478536 13023495576 13340940704 13854053808 13936518414 14472538353 15008558292 15585810534 15927449616 16259271483 16540043832 17152638048 17364660768 17812354896 17918380818 18582024552 19296717804 20011411056 20781080712 20904777621 21679028644 22053391776 22512837438 23891174424 24776032736 25728957072 26046991152 26877571227 27708107616 27873036828 28945076706 30017116584 31171621068 31854899232 32518542966 33080087664 33769256157 35624709792 35836761636 37164049104 38593435608 40022822112 41562161424 41809555242 43358057288 45025674876 47782348848 48777814449 51457914144 52093982304 53755142454 55746073656 57890153412 60034233168 62343242136 62714332863 65037085932 66160175328 67538512314 71673523272 74328098208 77186871216 83124322848 83619110484 86716114576 90051349752 95564697696 97555628898 101307768471 107510284908 111492147312 115780306824 120068466336 124686484272 125428665726 130074171864 135077024628 143347046544 146333443347 154373742432 167238220968 173432229152 180102699504 188142998589 195111257796 202615536942 215020569816 222984294624 231560613648 249372968544 250857331452 260148343728 270154049256 286694093088 292666886694 334476441936 360205399008 376285997178 390222515592 405231073884 430041139632 439000330041 463121227296 501714662904 520296687456 540308098512 585333773388 668952883872 752571994356 780445031184 810462147768 860082279264 878000660082 1003429325808 1080616197024 1170667546776 1317000990123 1505143988712 1560890062368 1620924295536 1756001320164 2006858651616 2341335093552 2634001980246 3010287977424 3241848591072 3512002640328 4682670187104 5268003960492 6020575954848 7024005280656 10536007920984 14048010561312 21072015841968 42144031683936
- Sum of all divisors σ(n): 156748026534372
- Sum of proper divisors (its aliquot sum) s(n): 114603994850436
- 42144031683936 is an abundant number, because the sum of its proper divisors (114603994850436) is greater than itself. Its abundance is 72459963166500
Bases of 42144031683936
- Binary: 10011001010100011011000000100110110101011000002
- Hexadecimal: 0x26546C09B560
- Base-36: EXSP8C600
Squares and roots of 42144031683936
- 42144031683936 squared (421440316839362) is 1776119406576601439800452096
- 42144031683936 cubed (421440316839363) is 74852832545217897409969369279200980729856
-
The
square root of 42144031683936 is 6491843.4734623723 -
The
cube root of 42144031683936 is 34799.9558736659
Scales and comparisons
How big is 42144031683936?- 42,144,031,683,936 seconds is equal to 1,340,049 years, 44 weeks, 11 hours, 45 minutes, 36 seconds.
-
To count from 1 to 42,144,031,683,936 would take you about three million, three hundred fifty thousand, one hundred twenty-four 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 42144031683936 cubic inches would be around 2900 feet tall.
Recreational maths with 42144031683936
- 42144031683936 backwards is 63938613044124
- 42144031683936 is a
Harshad number . - The number of decimal digits it has is: 14
- The sum of 42144031683936's digits is 54
- More coming soon!
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The information we have on file for 42144031683936 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 42144031683936, math, Factors of 42144031683936, curriculum, school, college, exams, university, Prime factorization of 42144031683936, STEM, science, technology, engineering, physics, economics, calculator, forty-two trillion, one hundred forty-four billion, thirty-one million, six hundred eighty-three thousand, nine hundred thirty-six.