42988732416000
42,988,732,416,000 is an even composite number composed of six prime numbers multiplied together.
42988732416000 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of two thousand, one hundred twelve divisors.
Prime factorization of 42988732416000:
221 × 32 × 53 × 7 × 19 × 137
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 5 × 5 × 7 × 19 × 137)See below for interesting mathematical facts about the number 42988732416000 from the Numbermatics database.
Names of 42988732416000
- Cardinal: 42988732416000 can be written as Forty-two trillion, nine hundred eighty-eight billion, seven hundred thirty-two million, four hundred sixteen thousand.
Scientific notation
- Scientific notation: 4.2988732416 × 1013
Factors of 42988732416000
Divisors of 42988732416000
- Number of divisors d(n): 2112
-
Complete list of divisors:
1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 19 20 21 24 25 28 30 32 35 36 38 40 42 45 48 50 56 57 60 63 64 70 72 75 76 80 84 90 95 96 100 105 112 114 120 125 126 128 133 137 140 144 150 152 160 168 171 175 180 190 192 200 210 224 225 228 240 250 252 256 266 274 280 285 288 300 304 315 320 336 342 350 360 375 380 384 399 400 411 420 448 450 456 475 480 500 504 512 525 532 548 560 570 576 600 608 630 640 665 672 684 685 700 720 750 760 768 798 800 822 840 855 875 896 900 912 950 959 960 1000 1008 1024 1050 1064 1096 1120 1125 1140 1152 1197 1200 1216 1233 1260 1280 1330 1344 1368 1370 1400 1425 1440 1500 1520 1536 1575 1596 1600 1644 1680 1710 1750 1792 1800 1824 1900 1918 1920 1995 2000 2016 2048 2055 2100 2128 2192 2240 2250 2280 2304 2375 2394 2400 2432 2466 2520 2560 2603 2625 2660 2688 2736 2740 2800 2850 2877 2880 3000 3040 3072 3150 3192 3200 3288 3325 3360 3420 3425 3500 3584 3600 3648 3800 3836 3840 3990 4000 4032 4096 4110 4200 4256 4275 4384 4480 4500 4560 4608 4750 4788 4795 4800 4864 4932 5040 5120 5206 5250 5320 5376 5472 5480 5600 5700 5754 5760 5985 6000 6080 6144 6165 6300 6384 6400 6576 6650 6720 6840 6850 7000 7125 7168 7200 7296 7600 7672 7680 7809 7875 7980 8000 8064 8192 8220 8400 8512 8550 8631 8768 8960 9000 9120 9216 9500 9576 9590 9600 9728 9864 9975 10080 10240 10275 10412 10500 10640 10752 10944 10960 11200 11400 11508 11520 11970 12000 12160 12288 12330 12600 12768 12800 13015 13152 13300 13440 13680 13700 14000 14250 14336 14385 14400 14592 15200 15344 15360 15618 15750 15960 16000 16128 16384 16440 16625 16800 17024 17100 17125 17262 17536 17920 18000 18221 18240 18432 19000 19152 19180 19200 19456 19728 19950 20160 20480 20550 20824 21000 21280 21375 21504 21888 21920 22400 22800 23016 23040 23427 23940 23975 24000 24320 24576 24660 25200 25536 25600 26030 26304 26600 26880 27360 27400 28000 28500 28672 28770 28800 29184 29925 30400 30688 30720 30825 31236 31500 31920 32000 32256 32768 32880 33250 33600 34048 34200 34250 34524 35072 35840 36000 36442 36480 36864 38000 38304 38360 38400 38912 39045 39456 39900 40320 40960 41100 41648 42000 42560 42750 43008 43155 43776 43840 44800 45600 46032 46080 46854 47880 47950 48000 48640 49152 49320 49875 50400 51072 51200 51375 52060 52608 53200 53760 54663 54720 54800 56000 57000 57344 57540 57600 58368 59850 60800 61376 61440 61650 62472 63000 63840 64000 64512 65075 65536 65760 66500 67200 68096 68400 68500 69048 70144 71680 71925 72000 72884 72960 73728 76000 76608 76720 76800 77824 78090 78912 79800 80640 81920 82200 83296 84000 85120 85500 86016 86310 87552 87680 89600 91105 91200 92064 92160 93708 95760 95900 96000 97280 98304 98640 99750 100800 102144 102400 102750 104120 105216 106400 107520 109326 109440 109600 112000 114000 114688 115080 115200 116736 117135 119700 119875 121600 122752 122880 123300 124944 126000 127680 128000 129024 130150 131072 131520 133000 134400 136192 136800 137000 138096 140288 143360 143850 144000 145768 145920 147456 149625 152000 153216 153440 153600 154125 155648 156180 157824 159600 161280 163840 163989 164400 166592 168000 170240 171000 172032 172620 175104 175360 179200 182210 182400 184128 184320 187416 191520 191800 192000 194560 195225 196608 197280 199500 201600 204288 204800 205500 208240 210432 212800 215040 215775 218652 218880 219200 224000 228000 229376 230160 230400 233472 234270 239400 239750 243200 245504 245760 246600 249888 252000 255360 256000 258048 260300 262144 263040 266000 268800 272384 273315 273600 274000 276192 280576 286720 287700 288000 291536 291840 294912 299250 304000 306432 306880 307200 308250 311296 312360 315648 319200 322560 325375 327680 327978 328800 333184 336000 340480 342000 344064 345240 350208 350720 358400 359625 364420 364800 368256 368640 374832 383040 383600 384000 389120 390450 393216 394560 399000 403200 408576 409600 411000 416480 420864 425600 430080 431550 437304 437760 438400 448000 455525 456000 458752 460320 460800 466944 468540 478800 479500 486400 491008 491520 493200 499776 504000 510720 512000 516096 520600 524288 526080 532000 537600 544768 546630 547200 548000 552384 561152 573440 575400 576000 583072 583680 585675 589824 598500 608000 612864 613760 614400 616500 622592 624720 631296 638400 645120 650750 655360 655956 657600 666368 672000 680960 684000 688128 690480 700416 701440 716800 719250 728840 729600 736512 737280 749664 766080 767200 768000 778240 780900 786432 789120 798000 806400 817152 819200 819945 822000 832960 841728 851200 860160 863100 874608 875520 876800 896000 911050 912000 917504 920640 921600 933888 937080 957600 959000 972800 976125 982016 983040 986400 999552 1008000 1021440 1024000 1032192 1041200 1048576 1052160 1064000 1075200 1078875 1089536 1093260 1094400 1096000 1104768 1122304 1146880 1150800 1152000 1166144 1167360 1171350 1179648 1197000 1216000 1225728 1227520 1228800 1233000 1245184 1249440 1262592 1276800 1290240 1301500 1310720 1311912 1315200 1332736 1344000 1361920 1366575 1368000 1376256 1380960 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3648000 3670016 3682560 3686400 3735552 3748320 3830400 3836000 3891200 3904500 3928064 3932160 3945600 3998208 4032000 4085760 4096000 4099725 4128768 4164800 4208640 4256000 4300800 4315500 4358144 4373040 4377600 4384000 4419072 4489216 4555250 4587520 4603200 4608000 4664576 4669440 4685400 4718592 4788000 4864000 4902912 4910080 4915200 4932000 4980736 4997760 5050368 5107200 5160960 5206000 5242880 5247648 5260800 5330944 5376000 5447680 5466300 5472000 5505024 5523840 5603328 5611520 5734400 5754000 5830720 5836800 5856750 5892096 5898240 5997312 6128640 6137600 6144000 6225920 6247200 6291456 6312960 6384000 6451200 6537216 6553600 6559560 6576000 6663680 6733824 6809600 6832875 6881280 6904800 6996864 7004160 7014400 7168000 7288400 7296000 7340032 7365120 7372800 7471104 7496640 7660800 7672000 7782400 7809000 7856128 7864320 7891200 7996416 8064000 8171520 8192000 8199450 8257536 8329600 8417280 8512000 8601600 8631000 8716288 8746080 8755200 8768000 8838144 8978432 9110500 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49029120 49100800 49152000 49807360 49977600 50503680 51072000 51609600 52297728 52428800 52476480 52608000 53309440 53870592 54476800 54663000 55050240 55238400 55974912 56033280 56115200 57344000 58307200 58368000 58920960 58982400 59768832 59973120 61286400 61376000 62259200 62472000 62849024 63129600 63971328 64512000 65372160 65536000 65595600 66060288 66636800 67338240 68096000 68812800 69048000 69730304 69968640 70041600 70144000 70705152 71827456 72884000 73400320 73651200 73728000 74633216 74711040 74966400 76608000 77824000 78446592 78561280 78643200 78912000 79964160 80805888 81715200 81994500 82575360 83296000 83962368 84172800 85295104 86016000 87162880 87460800 87552000 88381440 89653248 89784320 91750400 92064000 93291520 93388800 93708000 94273536 94371840 95956992 98058240 98201600 98304000 99614720 99955200 101007360 102144000 103219200 104595456 104952960 105216000 106618880 107741184 108953600 109326000 110100480 110476800 111949824 112066560 112230400 114688000 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4358144000 4419072000 4477992960 4482662400 4489216000 4525129728 4664576000 4713676800 4776525824 4797849600 4902912000 4980736000 5027921920 5050368000 5117706240 5229772800 5247648000 5330944000 5373591552 5387059200 5458886656 5505024000 5597491200 5603328000 5656412160 5892096000 5970657280 5997312000 6033506304 6141247488 6275727360 6284902400 6397132800 6464471040 6537216000 6716989440 6733824000 6823608320 6973030400 6996864000 7070515200 7164788736 7182745600 7463321600 7471104000 7541882880 7676559360 7844659200 7856128000 7996416000 8080588800 8188329984 8257536000 8396236800 8529510400 8716288000 8838144000 8955985920 8965324800 8978432000 9050259456 9329152000 9427353600 9553051648 9595699200 9805824000 10055843840 10100736000 10235412480 10459545600 10495296000 10661888000 10747183104 10774118400 11194982400 11206656000 11312824320 11784192000 11941314560 11994624000 12282494976 12551454720 12569804800 12794265600 12928942080 13074432000 13433978880 13467648000 13647216640 13993728000 14141030400 14329577472 14926643200 14942208000 15083765760 15353118720 15689318400 15712256000 15992832000 16161177600 16376659968 16515072000 16792473600 17059020800 17432576000 17676288000 17911971840 17956864000 18100518912 18658304000 18854707200 19106103296 19191398400 19611648000 20201472000 20470824960 20919091200 20990592000 21323776000 21494366208 21548236800 22389964800 22413312000 22625648640 23568384000 23882629120 23989248000 24564989952 25139609600 25588531200 26148864000 26867957760 26935296000 27294433280 27987456000 28282060800 28659154944 29853286400 30167531520 30706237440 31378636800 31424512000 31985664000 32322355200 33584947200 34118041600 34865152000 35352576000 35823943680 35913728000 37316608000 37709414400 38212206592 38382796800 39223296000 40402944000 40941649920 41981184000 42647552000 42988732416 44779929600 44826624000 45251297280 47136768000 47765258240 47978496000 49129979904 50279219200 51177062400 52297728000 53735915520 53870592000 55974912000 56564121600 57318309888 59706572800 61412474880 62757273600 62849024000 63971328000 64644710400 67169894400 68236083200 70705152000 71647887360 74633216000 75418828800 76765593600 78446592000 80805888000 81883299840 83962368000 85295104000 85977464832 89559859200 90502594560 94273536000 95530516480 95956992000 102354124800 104595456000 107471831040 107741184000 111949824000 113128243200 114636619776 119413145600 122824949760 125698048000 127942656000 134339788800 136472166400 141410304000 143295774720 149266432000 150837657600 153531187200 156893184000 161611776000 167924736000 170590208000 171954929664 179119718400 188547072000 191061032960 191913984000 204708249600 214943662080 223899648000 226256486400 238826291200 245649899520 251396096000 255885312000 268679577600 282820608000 286591549440 298532864000 307062374400 313786368000 323223552000 335849472000 341180416000 343909859328 358239436800 377094144000 383827968000 409416499200 429887324160 447799296000 452512972800 477652582400 511770624000 537359155200 565641216000 573183098880 597065728000 614124748800 671698944000 682360832000 716478873600 754188288000 767655936000 859774648320 895598592000 955305164800 1023541248000 1074718310400 1131282432000 1194131456000 1228249497600 1343397888000 1432957747200 1535311872000 1719549296640 1791197184000 2047082496000 2149436620800 2262564864000 2388262912000 2686795776000 2865915494400 3070623744000 3582394368000 4298873241600 4776525824000 5373591552000 6141247488000 7164788736000 8597746483200 10747183104000 14329577472000 21494366208000 42988732416000
- Sum of all divisors σ(n): 187813506366720
- Sum of proper divisors (its aliquot sum) s(n): 144824773950720
- 42988732416000 is an abundant number, because the sum of its proper divisors (144824773950720) is greater than itself. Its abundance is 101836041534720
Bases of 42988732416000
- Binary: 10011100011001000110000010000000000000000000002
- Hexadecimal: 0x271918200000
- Base-36: F8KR1CE80
Squares and roots of 42988732416000
- 42988732416000 squared (429887324160002) is 1848031114734449197056000000
- 42988732416000 cubed (429887324160003) is 79444515087761431429386438967296000000000
-
The
square root of 42988732416000 is 6556579.3227871499 -
The
cube root of 42988732416000 is 35030.9202720543
Scales and comparisons
How big is 42988732416000?- 42,988,732,416,000 seconds is equal to 1,366,908 years, 37 weeks, 2 days, 8 hours.
-
To count from 1 to 42,988,732,416,000 would take you about three million, four hundred seventeen thousand, two hundred seventy-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 42988732416000 cubic inches would be around 2919.2 feet tall.
Recreational maths with 42988732416000
- 42988732416000 backwards is 00061423788924
- The number of decimal digits it has is: 14
- The sum of 42988732416000's digits is 54
- More coming soon!
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Numbermatics. (2024). Number 42988732416000 - Facts about the integer. Retrieved 23 May 2024, from https://numbermatics.com/n/42988732416000/
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The information we have on file for 42988732416000 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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