401142827299817472000
401,142,827,299,817,472,000 is an even composite number composed of five prime numbers multiplied together.
What does the number 401142827299817472000 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 1920 divisors.
401142827299817472000 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one thousand, nine hundred twenty divisors.
Prime factorization of 401142827299817472000:
214 × 3 × 53 × 673 × 6013
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 5 × 67 × 67 × 67 × 601 × 601 × 601)See below for interesting mathematical facts about the number 401142827299817472000 from the Numbermatics database.
Names of 401142827299817472000
- Cardinal: 401142827299817472000 can be written as Four hundred one quintillion, one hundred forty-two quadrillion, eight hundred twenty-seven trillion, two hundred ninety-nine billion, eight hundred seventeen million, four hundred seventy-two thousand.
Scientific notation
- Scientific notation: 4.01142827299817472 × 1020
Factors of 401142827299817472000
Divisors of 401142827299817472000
- Number of divisors d(n): 1920
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Complete list of divisors:
1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 60 64 67 75 80 96 100 120 125 128 134 150 160 192 200 201 240 250 256 268 300 320 335 375 384 400 402 480 500 512 536 600 601 640 670 750 768 800 804 960 1000 1005 1024 1072 1200 1202 1280 1340 1500 1536 1600 1608 1675 1803 1920 2000 2010 2048 2144 2400 2404 2560 2680 3000 3005 3072 3200 3216 3350 3606 3840 4000 4020 4096 4288 4489 4800 4808 5025 5120 5360 6000 6010 6144 6400 6432 6700 7212 7680 8000 8040 8192 8375 8576 8978 9015 9600 9616 10050 10240 10720 12000 12020 12288 12800 12864 13400 13467 14424 15025 15360 16000 16080 16384 16750 17152 17956 18030 19200 19232 20100 20480 21440 22445 24000 24040 24576 25125 25600 25728 26800 26934 28848 30050 30720 32000 32160 33500 34304 35912 36060 38400 38464 40200 40267 40960 42880 44890 45075 48000 48080 49152 50250 51200 51456 53600 53868 57696 60100 61440 64000 64320 67000 67335 68608 71824 72120 75125 76800 76928 80400 80534 81920 85760 89780 90150 96000 96160 100500 102400 102912 107200 107736 112225 115392 120200 120801 122880 128000 128640 134000 134670 137216 143648 144240 150250 153600 153856 160800 161068 171520 179560 180300 192000 192320 201000 201335 204800 205824 214400 215472 224450 225375 230784 240400 241602 245760 256000 257280 268000 269340 274432 287296 288480 300500 300763 307200 307712 321600 322136 336675 343040 359120 360600 361201 384000 384640 402000 402670 409600 411648 428800 430944 448900 450750 461568 480800 483204 512000 514560 536000 538680 548864 561125 574592 576960 601000 601526 604005 614400 615424 643200 644272 673350 686080 718240 721200 722402 768000 769280 804000 805340 823296 857600 861888 897800 901500 902289 923136 961600 966408 1006675 1024000 1029120 1072000 1077360 1083603 1097728 1122250 1149184 1153920 1202000 1203052 1208010 1228800 1230848 1286400 1288544 1346700 1372160 1436480 1442400 1444804 1503815 1536000 1538560 1608000 1610680 1646592 1683375 1715200 1723776 1795600 1803000 1804578 1806005 1846272 1923200 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16686473681356800 16714284470825728 17872257843609600 18710019930028800 19587052114248900 19957354592030720 20858092101696000 20892855588532160 22248631575142400 22340322304512000 23387524912536000 23948825510436864 24483815142811125 24946693240038400 25071426706238592 26116069485665200 26698357890170880 27810789468928000 29787096406016000 29936031888046080 31183366550048000 31339283382798240 32645086857081500 33372947362713600 33428568941651456 37420039860057600 39174104228497800 39914709184061440 41716184203392000 41785711177064320 44497263150284800 44680644609024000 46775049825072000 47897651020873728 48967630285622250 49893386480076800 50142853412477184 52232138971330400 55621578937856000 59872063776092160 62366733100096000 62678566765596480 65290173714163000 66745894725427200 66857137883302912 74840079720115200 78348208456995600 79829418368122880 83432368406784000 83571422354128640 89361289218048000 93550099650144000 97935260571244500 99786772960153600 100285706824954368 104464277942660800 111243157875712000 119744127552184320 124733466200192000 125357133531192960 130580347428326000 133491789450854400 133714275766605824 149680159440230400 156696416913991200 166864736813568000 167142844708257280 187100199300288000 195870521142489000 199573545920307200 200571413649908736 208928555885321600 222486315751424000 239488255104368640 249466932400384000 250714267062385920 261160694856652000 267428551533211648 299360318880460800 313392833827982400 333729473627136000 334285689416514560 374200398600576000 391741042284978000 399147091840614400 401142827299817472 417857111770643200 498933864800768000 501428534124771840 522321389713304000 534857103066423296 598720637760921600 626785667655964800 667458947254272000 668571378833029120 748400797201152000 783482084569956000 802285654599634944 835714223541286400 997867729601536000 1002857068249543680 1044642779426608000 1069714206132846592 1197441275521843200 1253571335311929600 1337142757666058240 1496801594402304000 1566964169139912000 1604571309199269888 1671428447082572800 1995735459203072000 2005714136499087360 2089285558853216000 2507142670623859200 2674285515332116480 2993603188804608000 3133928338279824000 3209142618398539776 3342856894165145600 4011428272998174720 4178571117706432000 5014285341247718400 5348571030664232960 5987206377609216000 6267856676559648000 6685713788330291200 8022856545996349440 8357142235412864000 10028570682495436800 12535713353119296000 13371427576660582400 16045713091992698880 16714284470825728000 20057141364990873600 25071426706238592000 26742855153321164800 33428568941651456000 40114282729981747200 50142853412477184000 66857137883302912000 80228565459963494400 100285706824954368000 133714275766605824000 200571413649908736000 401142827299817472000
- Sum of all divisors σ(n): 1357447875516636234240
- Sum of proper divisors (its aliquot sum) s(n): 956305048216818762240
- 401142827299817472000 is an abundant number, because the sum of its proper divisors (956305048216818762240) is greater than itself. Its abundance is 555162220917001290240
Bases of 401142827299817472000
- Binary: 1010110111110111110011001110000010101010110010111110101000000000000002
- Hexadecimal: 0x15BEF99C15597D4000
- Base-36: 2CNP0WIKU3R8QO
Squares and roots of 401142827299817472000
- 401142827299817472000 squared (4011428272998174720002) is 160915567894091185694037204516470784000000
- 401142827299817472000 cubed (4011428272998174720003) is 64550125861591473596538824295183058488741620820738048000000000
-
The
square root of 401142827299817472000 is 20028550304.4982632113 -
The
cube root of 401142827299817472000 is 7375073.3447832023
Scales and comparisons
How big is 401142827299817472000?- 401,142,827,299,817,472,000 seconds is equal to 293,274,701,009 years, 3 weeks, 3 days, 15 hours, 30 minutes, 7 seconds.
-
To count from 1 to 401,142,827,299,817,472,000 would take you about two hundred ninety-three billion, two hundred seventy-four million, seven hundred one thousand and 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 401142827299817472000 cubic inches would be around 614589.4 feet tall.
Recreational maths with 401142827299817472000
- 401142827299817472000 backwards is 000274718992728241104
- The number of decimal digits it has is: 21
- The sum of 401142827299817472000's digits is 78
- More coming soon!
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"Number 401142827299817472000 - Facts about the integer". Numbermatics.com. 2024. Web. 19 June 2024.
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Numbermatics. (2024). Number 401142827299817472000 - Facts about the integer. Retrieved 19 June 2024, from https://numbermatics.com/n/401142827299817472000/
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The information we have on file for 401142827299817472000 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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