401128826880000
401,128,826,880,000 is an even composite number composed of five prime numbers multiplied together.
401128826880000 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of nine hundred divisors.
Prime factorization of 401128826880000:
214 × 3 × 54 × 19 × 8292
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 5 × 5 × 19 × 829 × 829)See below for interesting mathematical facts about the number 401128826880000 from the Numbermatics database.
Names of 401128826880000
- Cardinal: 401128826880000 can be written as Four hundred one trillion, one hundred twenty-eight billion, eight hundred twenty-six million, eight hundred eighty thousand.
Scientific notation
- Scientific notation: 4.0112882688 × 1014
Factors of 401128826880000
Divisors of 401128826880000
- Number of divisors d(n): 900
-
Complete list of divisors:
1 2 3 4 5 6 8 10 12 15 16 19 20 24 25 30 32 38 40 48 50 57 60 64 75 76 80 95 96 100 114 120 125 128 150 152 160 190 192 200 228 240 250 256 285 300 304 320 375 380 384 400 456 475 480 500 512 570 600 608 625 640 750 760 768 800 829 912 950 960 1000 1024 1140 1200 1216 1250 1280 1425 1500 1520 1536 1600 1658 1824 1875 1900 1920 2000 2048 2280 2375 2400 2432 2487 2500 2560 2850 3000 3040 3072 3200 3316 3648 3750 3800 3840 4000 4096 4145 4560 4750 4800 4864 4974 5000 5120 5700 6000 6080 6144 6400 6632 7125 7296 7500 7600 7680 8000 8192 8290 9120 9500 9600 9728 9948 10000 10240 11400 11875 12000 12160 12288 12435 12800 13264 14250 14592 15000 15200 15360 15751 16000 16384 16580 18240 19000 19200 19456 19896 20000 20480 20725 22800 23750 24000 24320 24576 24870 25600 26528 28500 29184 30000 30400 30720 31502 32000 33160 35625 36480 38000 38400 38912 39792 40000 40960 41450 45600 47253 47500 48000 48640 49152 49740 51200 53056 57000 58368 60000 60800 61440 62175 63004 64000 66320 71250 72960 76000 76800 77824 78755 79584 80000 81920 82900 91200 94506 95000 96000 97280 99480 102400 103625 106112 114000 116736 120000 121600 122880 124350 126008 128000 132640 142500 145920 152000 153600 155648 157510 159168 160000 165800 182400 189012 190000 192000 194560 198960 204800 207250 212224 228000 233472 236265 240000 243200 245760 248700 252016 256000 265280 285000 291840 304000 307200 310875 311296 315020 318336 320000 331600 364800 378024 380000 384000 389120 393775 397920 409600 414500 424448 456000 466944 472530 480000 486400 497400 504032 512000 518125 530560 570000 583680 608000 614400 621750 630040 636672 640000 663200 687241 729600 756048 760000 768000 778240 787550 795840 829000 848896 912000 933888 945060 960000 972800 994800 1008064 1024000 1036250 1061120 1140000 1167360 1181325 1216000 1228800 1243500 1260080 1273344 1280000 1326400 1374482 1459200 1512096 1520000 1536000 1554375 1556480 1575100 1591680 1658000 1697792 1824000 1890120 1920000 1945600 1968875 1989600 2016128 2048000 2061723 2072500 2122240 2280000 2334720 2362650 2432000 2487000 2520160 2546688 2560000 2652800 2748964 2918400 3024192 3040000 3072000 3108750 3150200 3183360 3316000 3395584 3436205 3648000 3780240 3840000 3891200 3937750 3979200 4032256 4123446 4145000 4244480 4560000 4669440 4725300 4864000 4974000 5040320 5093376 5120000 5305600 5497928 5836800 5906625 6048384 6080000 6144000 6217500 6300400 6366720 6632000 6791168 6872410 7296000 7560480 7680000 7782400 7875500 7958400 8064512 8246892 8290000 8488960 9120000 9450600 9728000 9844375 9948000 10080640 10186752 10240000 10308615 10611200 10995856 11673600 11813250 12096768 12160000 12435000 12600800 12733440 13057579 13264000 13582336 13744820 14592000 15120960 15360000 15751000 15916800 16129024 16493784 16580000 16977920 17181025 18240000 18901200 19456000 19688750 19896000 20161280 20373504 20617230 21222400 21991712 23347200 23626500 24193536 24320000 24870000 25201600 25466880 26115158 26528000 27489640 29184000 29533125 30241920 30720000 31502000 31833600 32258048 32987568 33160000 33955840 34362050 36480000 37802400 38912000 39172737 39377500 39792000 40322560 40747008 41234460 42444800 43983424 47253000 48387072 48640000 49740000 50403200 50933760 51543075 52230316 53056000 54979280 58368000 59066250 60483840 63004000 63667200 64516096 65287895 65975136 66320000 67911680 68724100 72960000 75604800 78345474 78755000 79584000 80645120 82468920 84889600 85905125 87966848 94506000 96774144 97280000 99480000 100806400 101867520 103086150 104460632 106112000 109958560 116736000 118132500 120967680 126008000 127334400 129032192 130575790 131950272 132640000 137448200 145920000 151209600 156690948 157510000 159168000 161290240 164937840 169779200 171810250 175933696 189012000 193548288 194560000 195863685 198960000 201612800 203735040 206172300 208921264 212224000 219917120 236265000 241935360 252016000 254668800 257715375 258064384 261151580 263900544 265280000 274896400 291840000 302419200 313381896 315020000 318336000 322580480 326439475 329875680 339558400 343620500 351867392 378024000 387096576 391727370 397920000 403225600 412344600 417842528 424448000 429525625 439834240 472530000 483870720 504032000 509337600 515430750 522303160 527801088 530560000 549792800 583680000 604838400 626763792 630040000 636672000 645160960 652878950 659751360 687241000 703734784 756048000 774193152 783454740 795840000 806451200 824689200 835685056 848896000 859051250 879668480 945060000 967741440 979318425 1008064000 1018675200 1030861500 1044606320 1055602176 1061120000 1099585600 1209676800 1253527584 1260080000 1273344000 1288576875 1290321920 1305757900 1319502720 1374482000 1407469568 1512096000 1566909480 1591680000 1612902400 1632197375 1649378400 1671370112 1697792000 1718102500 1759336960 1890120000 1935482880 1958636850 2016128000 2061723000 2089212640 2111204352 2122240000 2199171200 2419353600 2507055168 2520160000 2546688000 2577153750 2611515800 2639005440 2748964000 2814939136 3024192000 3133818960 3183360000 3225804800 3264394750 3298756800 3342740224 3436205000 3518673920 3780240000 3870965760 3917273700 4032256000 4123446000 4178425280 4222408704 4244480000 4398342400 4838707200 4896592125 5014110336 5040320000 5093376000 5154307500 5223031600 5278010880 5497928000 5629878272 6048384000 6267637920 6366720000 6451609600 6528789500 6597513600 6685480448 6872410000 7037347840 7560480000 7834547400 8064512000 8160986875 8246892000 8356850560 8444817408 8488960000 8796684800 9677414400 9793184250 10028220672 10080640000 10308615000 10446063200 10556021760 10995856000 11259756544 12096768000 12535275840 12733440000 13057579000 13195027200 13370960896 13744820000 14074695680 15120960000 15669094800 16129024000 16321973750 16493784000 16713701120 16889634816 17593369600 19354828800 19586368500 20056441344 20161280000 20617230000 20892126400 21112043520 21991712000 24193536000 24482960625 25070551680 25466880000 26115158000 26390054400 26741921792 27489640000 28149391360 30241920000 31338189600 32258048000 32643947500 32987568000 33427402240 33779269632 35186739200 39172737000 40112882688 40322560000 41234460000 41784252800 42224087040 43983424000 48387072000 48965921250 50141103360 52230316000 52780108800 53483843584 54979280000 56298782720 60483840000 62676379200 65287895000 65975136000 66854804480 70373478400 78345474000 80225765376 80645120000 82468920000 83568505600 84448174080 87966848000 96774144000 97931842500 100282206720 104460632000 105560217600 106967687168 109958560000 120967680000 125352758400 130575790000 131950272000 133709608960 140746956800 156690948000 160451530752 161290240000 164937840000 167137011200 168896348160 175933696000 195863685000 200564413440 208921264000 211120435200 213935374336 219917120000 241935360000 250705516800 261151580000 263900544000 267419217920 281493913600 313381896000 320903061504 329875680000 334274022400 351867392000 391727370000 401128826880 417842528000 422240870400 439834240000 483870720000 501411033600 522303160000 527801088000 534838435840 626763792000 641806123008 659751360000 668548044800 703734784000 783454740000 802257653760 835685056000 844481740800 879668480000 1002822067200 1044606320000 1055602176000 1069676871680 1253527584000 1319502720000 1337096089600 1407469568000 1566909480000 1604515307520 1671370112000 1759336960000 2005644134400 2089212640000 2111204352000 2507055168000 2639005440000 2674192179200 3133818960000 3209030615040 3342740224000 3518673920000 4011288268800 4178425280000 4222408704000 5014110336000 5278010880000 5348384358400 6267637920000 6685480448000 7037347840000 8022576537600 8356850560000 10028220672000 10556021760000 12535275840000 13370960896000 16045153075200 16713701120000 20056441344000 21112043520000 25070551680000 26741921792000 33427402240000 40112882688000 50141103360000 66854804480000 80225765376000 100282206720000 133709608960000 200564413440000 401128826880000
- Sum of all divisors σ(n): 1408675483113360
- Sum of proper divisors (its aliquot sum) s(n): 1007546656233360
- 401128826880000 is an abundant number, because the sum of its proper divisors (1007546656233360) is greater than itself. Its abundance is 606417829353360
Bases of 401128826880000
- Binary: 10110110011010011000101010011110001000000000000002
- Hexadecimal: 0x16CD3153C4000
- Base-36: 3Y6S1EONPC
Squares and roots of 401128826880000
- 401128826880000 squared (4011288268800002) is 160904335754125010534400000000
- 401128826880000 cubed (4011288268800003) is 64543367440957805596531513884672000000000000
-
The
square root of 401128826880000 is 20028200.7898862447 -
The
cube root of 401128826880000 is 73749.8754381885
Scales and comparisons
How big is 401128826880000?- 401,128,826,880,000 seconds is equal to 12,754,655 years, 47 weeks, 6 days, 13 hours, 20 minutes.
-
To count from 1 to 401,128,826,880,000 would take you about thirty-one million, eight hundred eighty-six thousand, six hundred thirty-nine 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 401128826880000 cubic inches would be around 6145.8 feet tall.
Recreational maths with 401128826880000
- 401128826880000 backwards is 000088628821104
- 401128826880000 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 401128826880000's digits is 48
- More coming soon!
Link to this page
HTML: To link to this page, just copy and paste the link below into your blog, web page or email.
BBCODE: To link to this page in a forum post or comment box, just copy and paste the link code below:
Cite this page
MLA style:
"Number 401128826880000 - Facts about the integer". Numbermatics.com. 2024. Web. 25 May 2024.
APA style:
Numbermatics. (2024). Number 401128826880000 - Facts about the integer. Retrieved 25 May 2024, from https://numbermatics.com/n/401128826880000/
Chicago style:
Numbermatics. 2024. "Number 401128826880000 - Facts about the integer". https://numbermatics.com/n/401128826880000/
The information we have on file for 401128826880000 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 401128826880000, math, Factors of 401128826880000, curriculum, school, college, exams, university, Prime factorization of 401128826880000, STEM, science, technology, engineering, physics, economics, calculator, four hundred one trillion, one hundred twenty-eight billion, eight hundred twenty-six million, eight hundred eighty thousand.