438238130995200
438,238,130,995,200 is an even composite number composed of five prime numbers multiplied together.
What does the number 438238130995200 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 1056 divisors.
438238130995200 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one thousand and fifty-six divisors.
Prime factorization of 438238130995200:
221 × 3 × 52 × 233 × 229
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 23 × 23 × 23 × 229)See below for interesting mathematical facts about the number 438238130995200 from the Numbermatics database.
Names of 438238130995200
- Cardinal: 438238130995200 can be written as Four hundred thirty-eight trillion, two hundred thirty-eight billion, one hundred thirty million, nine hundred ninety-five thousand, two hundred.
Scientific notation
- Scientific notation: 4.382381309952 × 1014
Factors of 438238130995200
Divisors of 438238130995200
- Number of divisors d(n): 1056
-
Complete list of divisors:
1 2 3 4 5 6 8 10 12 15 16 20 23 24 25 30 32 40 46 48 50 60 64 69 75 80 92 96 100 115 120 128 138 150 160 184 192 200 229 230 240 256 276 300 320 345 368 384 400 458 460 480 512 529 552 575 600 640 687 690 736 768 800 916 920 960 1024 1058 1104 1145 1150 1200 1280 1374 1380 1472 1536 1587 1600 1725 1832 1840 1920 2048 2116 2208 2290 2300 2400 2560 2645 2748 2760 2944 3072 3174 3200 3435 3450 3664 3680 3840 4096 4232 4416 4580 4600 4800 5120 5267 5290 5496 5520 5725 5888 6144 6348 6400 6870 6900 7328 7360 7680 7935 8192 8464 8832 9160 9200 9600 10240 10534 10580 10992 11040 11450 11776 12167 12288 12696 12800 13225 13740 13800 14656 14720 15360 15801 15870 16384 16928 17175 17664 18320 18400 19200 20480 21068 21160 21984 22080 22900 23552 24334 24576 25392 25600 26335 26450 27480 27600 29312 29440 30720 31602 31740 32768 33856 34350 35328 36501 36640 36800 38400 39675 40960 42136 42320 43968 44160 45800 47104 48668 49152 50784 51200 52670 52900 54960 55200 58624 58880 60835 61440 63204 63480 65536 67712 68700 70656 73002 73280 73600 76800 79005 79350 81920 84272 84640 87936 88320 91600 94208 97336 98304 101568 102400 105340 105800 109920 110400 117248 117760 121141 121670 122880 126408 126960 131072 131675 135424 137400 141312 146004 146560 147200 153600 158010 158700 163840 168544 169280 175872 176640 182505 183200 188416 194672 196608 203136 204800 210680 211600 219840 220800 234496 235520 242282 243340 245760 252816 253920 262144 263350 270848 274800 282624 292008 293120 294400 304175 307200 316020 317400 327680 337088 338560 351744 353280 363423 365010 366400 376832 389344 393216 395025 406272 409600 421360 423200 439680 441600 468992 471040 484564 486680 491520 505632 507840 524288 526700 541696 549600 565248 584016 586240 588800 605705 608350 614400 632040 634800 655360 674176 677120 703488 706560 726846 730020 732800 753664 778688 786432 790050 812544 819200 842720 846400 879360 883200 912525 937984 942080 969128 973360 983040 1011264 1015680 1048576 1053400 1083392 1099200 1130496 1168032 1172480 1177600 1211410 1216700 1228800 1264080 1269600 1310720 1348352 1354240 1406976 1413120 1453692 1460040 1465600 1507328 1557376 1572864 1580100 1625088 1638400 1685440 1692800 1758720 1766400 1817115 1825050 1875968 1884160 1938256 1946720 1966080 2022528 2031360 2097152 2106800 2166784 2198400 2260992 2336064 2344960 2355200 2422820 2433400 2457600 2528160 2539200 2621440 2696704 2708480 2786243 2813952 2826240 2907384 2920080 2931200 3014656 3028525 3114752 3145728 3160200 3250176 3276800 3370880 3385600 3517440 3532800 3634230 3650100 3751936 3768320 3876512 3893440 3932160 4045056 4062720 4213600 4333568 4396800 4521984 4672128 4689920 4710400 4845640 4866800 4915200 5056320 5078400 5242880 5393408 5416960 5572486 5627904 5652480 5814768 5840160 5862400 6029312 6057050 6229504 6291456 6320400 6500352 6553600 6741760 6771200 7034880 7065600 7268460 7300200 7503872 7536640 7753024 7786880 7864320 8090112 8125440 8358729 8427200 8667136 8793600 9043968 9085575 9344256 9379840 9420800 9691280 9733600 9830400 10112640 10156800 10485760 10786816 10833920 11144972 11255808 11304960 11629536 11680320 11724800 12058624 12114100 12459008 12640800 13000704 13107200 13483520 13542400 13931215 14069760 14131200 14536920 14600400 15007744 15073280 15506048 15573760 15728640 16180224 16250880 16717458 16854400 17334272 17587200 18087936 18171150 18688512 18759680 18841600 19382560 19467200 19660800 20225280 20313600 21573632 21667840 22289944 22511616 22609920 23259072 23360640 23449600 24117248 24228200 24918016 25281600 26001408 26214400 26967040 27084800 27862430 28139520 28262400 29073840 29200800 30015488 30146560 31012096 31147520 31457280 32360448 32501760 33434916 33708800 34668544 35174400 36175872 36342300 37377024 37519360 37683200 38765120 38934400 39321600 40450560 40627200 41793645 43147264 43335680 44579888 45023232 45219840 46518144 46721280 46899200 48234496 48456400 49836032 50563200 52002816 52428800 53934080 54169600 55724860 56279040 56524800 58147680 58401600 60030976 60293120 62024192 62295040 64720896 65003520 66869832 67417600 69337088 69656075 70348800 72351744 72684600 74754048 75038720 75366400 77530240 77868800 78643200 80901120 81254400 83587290 86294528 86671360 89159776 90046464 90439680 93036288 93442560 93798400 96912800 99672064 101126400 104005632 107868160 108339200 111449720 112558080 113049600 116295360 116803200 120061952 120586240 124048384 124590080 129441792 130007040 133739664 134835200 138674176 139312150 140697600 144703488 145369200 149508096 150077440 150732800 155060480 155737600 157286400 161802240 162508800 167174580 172589056 173342720 178319552 180092928 180879360 186072576 186885120 187596800 193825600 199344128 202252800 208011264 208968225 215736320 216678400 222899440 225116160 226099200 232590720 233606400 240123904 241172480 248096768 249180160 258883584 260014080 267479328 269670400 277348352 278624300 281395200 290738400 299016192 300154880 301465600 310120960 311475200 323604480 325017600 334349160 345178112 346685440 356639104 360185856 361758720 372145152 373770240 375193600 387651200 398688256 404505600 416022528 417936450 431472640 433356800 445798880 450232320 452198400 465181440 467212800 480247808 496193536 498360320 517767168 520028160 534958656 539340800 554696704 557248600 562790400 581476800 598032384 600309760 602931200 620241920 622950400 647208960 650035200 668698320 690356224 693370880 713278208 720371712 723517440 744290304 747540480 750387200 775302400 797376512 809011200 832045056 835872900 862945280 866713600 891597760 900464640 904396800 930362880 934425600 992387072 996720640 1035534336 1040056320 1069917312 1078681600 1109393408 1114497200 1125580800 1162953600 1196064768 1200619520 1205862400 1240483840 1245900800 1294417920 1300070400 1337396640 1380712448 1386741760 1426556416 1440743424 1488580608 1495080960 1500774400 1550604800 1594753024 1618022400 1664090112 1671745800 1725890560 1733427200 1783195520 1800929280 1808793600 1860725760 1868851200 1984774144 1993441280 2071068672 2080112640 2139834624 2157363200 2228994400 2251161600 2325907200 2392129536 2401239040 2480967680 2491801600 2588835840 2600140800 2674793280 2761424896 2773483520 2853112832 2977161216 2990161920 3001548800 3101209600 3189506048 3236044800 3328180224 3343491600 3451781120 3466854400 3566391040 3601858560 3617587200 3721451520 3737702400 3969548288 3986882560 4142137344 4160225280 4279669248 4314726400 4457988800 4502323200 4651814400 4784259072 4961935360 4983603200 5177671680 5200281600 5349586560 5522849792 5546967040 5706225664 5954322432 5980323840 6003097600 6202419200 6379012096 6472089600 6686983200 6903562240 6933708800 7132782080 7203717120 7442903040 7475404800 7939096576 7973765120 8284274688 8320450560 8559338496 8629452800 8915977600 9004646400 9303628800 9568518144 9923870720 9967206400 10355343360 10400563200 10699173120 11045699584 11412451328 11908644864 11960647680 12006195200 12404838400 12758024192 12944179200 13373966400 13807124480 13867417600 14265564160 14885806080 14950809600 15878193152 15947530240 16568549376 16640901120 17118676992 17258905600 17831955200 18009292800 18607257600 19137036288 19847741440 19934412800 20710686720 20801126400 21398346240 22824902656 23817289728 23921295360 24809676800 25516048384 25888358400 26747932800 27614248960 27734835200 28531128320 29771612160 29901619200 31756386304 31895060480 33137098752 34237353984 34517811200 35663910400 36018585600 37214515200 38274072576 39695482880 39868825600 41421373440 41602252800 42796692480 45649805312 47634579456 47842590720 49619353600 51776716800 53495865600 55228497920 57062256640 59543224320 59803238400 63512772608 63790120960 68474707968 69035622400 71327820800 74429030400 76548145152 79390965760 79737651200 82842746880 83204505600 85593384960 91299610624 95269158912 95685181440 99238707200 103553433600 106991731200 114124513280 119086448640 119606476800 127025545216 127580241920 136949415936 138071244800 142655641600 148858060800 158781931520 159475302400 165685493760 171186769920 182599221248 190538317824 191370362880 198477414400 207106867200 213983462400 228249026560 238172897280 239212953600 254051090432 273898831872 276142489600 285311283200 297716121600 317563863040 318950604800 342373539840 365198442496 381076635648 382740725760 396954828800 414213734400 427966924800 456498053120 476345794560 478425907200 547797663744 570622566400 595432243200 635127726080 637901209600 684747079680 730396884992 762153271296 793909657600 828427468800 855933849600 912996106240 952691589120 956851814400 1095595327488 1141245132800 1190864486400 1270255452160 1369494159360 1460793769984 1587819315200 1711867699200 1825992212480 1905383178240 1913703628800 2191190654976 2282490265600 2381728972800 2738988318720 2921587539968 3175638630400 3423735398400 3651984424960 3810766356480 4382381309952 4564980531200 4763457945600 5477976637440 5843175079936 6351277260800 6847470796800 7303968849920 8764762619904 9129961062400 9526915891200 10955953274880 13694941593600 14607937699840 17529525239808 18259922124800 19053831782400 21911906549760 27389883187200 29215875399680 36519844249600 43823813099520 54779766374400 73039688499200 87647626199040 109559532748800 146079376998400 219119065497600 438238130995200
- Sum of all divisors σ(n): 1521585754243200
- Sum of proper divisors (its aliquot sum) s(n): 1083347623248000
- 438238130995200 is an abundant number, because the sum of its proper divisors (1083347623248000) is greater than itself. Its abundance is 645109492252800
Bases of 438238130995200
- Binary: 11000111010010011010001000010000000000000000000002
- Hexadecimal: 0x18E9344200000
- Base-36: 4BCBTG7YTC
Squares and roots of 438238130995200
- 438238130995200 squared (4382381309952002) is 192052659458166074942423040000
- 438238130995200 cubed (4382381309952003) is 84164798533604320604974208501214609408000000
-
The
square root of 438238130995200 is 20934137.9329362403 -
The
cube root of 438238130995200 is 75957.3936509649
Scales and comparisons
How big is 438238130995200?- 438,238,130,995,200 seconds is equal to 13,934,617 years, 2 days, 5 hours, 20 minutes.
-
To count from 1 to 438,238,130,995,200 would take you about thirty-four million, eight hundred thirty-six thousand, five hundred forty-two 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 438238130995200 cubic inches would be around 6329.8 feet tall.
Recreational maths with 438238130995200
- 438238130995200 backwards is 002599031832834
- The number of decimal digits it has is: 15
- The sum of 438238130995200's digits is 57
- More coming soon!
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The information we have on file for 438238130995200 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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