401222882608128000
401,222,882,608,128,000 is an even composite number composed of five prime numbers multiplied together.
What does the number 401222882608128000 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 2688 divisors.
401222882608128000 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of two thousand, six hundred eighty-eight divisors.
Prime factorization of 401222882608128000:
213 × 35 × 53 × 7 × 6133
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 5 × 5 × 5 × 7 × 613 × 613 × 613)See below for interesting mathematical facts about the number 401222882608128000 from the Numbermatics database.
Names of 401222882608128000
- Cardinal: 401222882608128000 can be written as Four hundred one quadrillion, two hundred twenty-two trillion, eight hundred eighty-two billion, six hundred eight million, one hundred twenty-eight thousand.
Scientific notation
- Scientific notation: 4.01222882608128 × 1017
Factors of 401222882608128000
Divisors of 401222882608128000
- Number of divisors d(n): 2688
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Complete list of divisors:
1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 20 21 24 25 27 28 30 32 35 36 40 42 45 48 50 54 56 60 63 64 70 72 75 80 81 84 90 96 100 105 108 112 120 125 126 128 135 140 144 150 160 162 168 175 180 189 192 200 210 216 224 225 240 243 250 252 256 270 280 288 300 315 320 324 336 350 360 375 378 384 400 405 420 432 448 450 480 486 500 504 512 525 540 560 567 576 600 613 630 640 648 672 675 700 720 750 756 768 800 810 840 864 875 896 900 945 960 972 1000 1008 1024 1050 1080 1120 1125 1134 1152 1200 1215 1226 1260 1280 1296 1344 1350 1400 1440 1500 1512 1536 1575 1600 1620 1680 1701 1728 1750 1792 1800 1839 1890 1920 1944 2000 2016 2025 2048 2100 2160 2240 2250 2268 2304 2400 2430 2452 2520 2560 2592 2625 2688 2700 2800 2835 2880 3000 3024 3065 3072 3150 3200 3240 3360 3375 3402 3456 3500 3584 3600 3678 3780 3840 3888 4000 4032 4050 4096 4200 4291 4320 4480 4500 4536 4608 4725 4800 4860 4904 5040 5120 5184 5250 5376 5400 5517 5600 5670 5760 6000 6048 6075 6130 6144 6300 6400 6480 6720 6750 6804 6912 7000 7168 7200 7356 7560 7680 7776 7875 8000 8064 8100 8192 8400 8505 8582 8640 8960 9000 9072 9195 9216 9450 9600 9720 9808 10080 10125 10240 10368 10500 10752 10800 11034 11200 11340 11520 12000 12096 12150 12260 12288 12600 12800 12873 12960 13440 13500 13608 13824 14000 14175 14336 14400 14712 15120 15325 15360 15552 15750 16000 16128 16200 16551 16800 17010 17164 17280 17920 18000 18144 18390 18432 18900 19200 19440 19616 20160 20250 20480 20736 21000 21455 21504 21600 22068 22400 22680 23040 23625 24000 24192 24300 24520 24576 25200 25600 25746 25920 26880 27000 27216 27585 27648 28000 28350 28672 28800 29424 30240 30375 30650 30720 31104 31500 32000 32256 32400 33102 33600 34020 34328 34560 35840 36000 36288 36780 36864 37800 38400 38619 38880 39232 40320 40500 40960 41472 42000 42525 42910 43008 43200 44136 44800 45360 45975 46080 47250 48000 48384 48600 49040 49653 50400 51200 51492 51840 53760 54000 54432 55170 55296 56000 56700 57344 57600 58848 60480 60750 61300 61440 62208 63000 64000 64365 64512 64800 66204 67200 68040 68656 69120 70875 71680 72000 72576 73560 73728 75600 76625 76800 77238 77760 78464 80640 81000 82755 82944 84000 85050 85820 86016 86400 88272 89600 90720 91950 92160 94500 96000 96768 97200 98080 99306 100800 102400 102984 103680 107275 107520 108000 108864 110340 110592 112000 113400 115200 115857 117696 120960 121500 122600 122880 124416 126000 128000 128730 129024 129600 132408 134400 136080 137312 137925 138240 141750 143360 144000 145152 147120 148959 151200 153250 153600 154476 155520 156928 161280 162000 165510 165888 168000 170100 171640 172032 172800 176544 179200 181440 183900 184320 189000 192000 193095 193536 194400 196160 198612 201600 204800 205968 207360 212625 214550 215040 216000 217728 220680 221184 224000 226800 229875 230400 231714 235392 241920 243000 245200 248265 248832 252000 256000 257460 258048 259200 264816 268800 272160 274624 275850 276480 283500 286720 288000 290304 294240 297918 302400 306500 307200 308952 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178321281159168 179117358307200 185751334540800 191058515527680 195909610648500 198134756843520 199019287008000 200611441304064 206390371712000 208970251358400 212287239475200 218174487552000 222901601448960 223896697884000 229270218633216 232189168176000 235874710528000 238823144409600 247668446054400 250764301630080 254744687370240 261212814198000 265359049344000 267481921738752 278627001811200 286587773291520 297202135265280 298528930512000 309585557568000 313455377037600 318430859212800 327261731328000 330224594739200 334352402173440 348283752264000 353812065792000 356642562318336 358234716614400 371502669081600 382117031055360 391819221297000 398038574016000 401222882608128 412780743424000 417940502716800 424574478950400 445803202897920 447793395768000 458540437266432 464378336352000 477646288819200 495336892108800 501528603260160 522425628396000 530718098688000 534963843477504 557254003622400 573175546583040 594404270530560 597057861024000 619171115136000 626910754075200 636861718425600 654523462656000 668704804346880 696567504528000 707624131584000 716469433228800 743005338163200 764234062110720 783638442594000 796077148032000 802445765216256 825561486848000 835881005433600 891606405795840 895586791536000 928756672704000 955292577638400 990673784217600 1003057206520320 1044851256792000 1061436197376000 1069927686955008 1114508007244800 1146351093166080 1194115722048000 1238342230272000 1253821508150400 1273723436851200 1337409608693760 1393135009056000 1432938866457600 1486010676326400 1567276885188000 1592154296064000 1604891530432512 1651122973696000 1671762010867200 1783212811591680 1791173583072000 1857513345408000 1910585155276800 2006114413040640 2089702513584000 2122872394752000 2229016014489600 2292702186332160 2388231444096000 2476684460544000 2507643016300800 2674819217387520 2786270018112000 2865877732915200 2972021352652800 3134553770376000 3184308592128000 3209783060865024 3343524021734400 3582347166144000 3715026690816000 3821170310553600 4012228826081280 4179405027168000 4458032028979200 4776462888192000 4953368921088000 5015286032601600 5349638434775040 5572540036224000 5731755465830400 6269107540752000 6368617184256000 6687048043468800 7164694332288000 7430053381632000 8024457652162560 8358810054336000 8916064057958400 9552925776384000 10030572065203200 11145080072448000 11463510931660800 12538215081504000 13374096086937600 14329388664576000 14860106763264000 16048915304325120 16717620108672000 19105851552768000 20061144130406400 22290160144896000 25076430163008000 26748192173875200 28658777329152000 33435240217344000 40122288260812800 44580320289792000 50152860326016000 57317554658304000 66870480434688000 80244576521625600 100305720652032000 133740960869376000 200611441304064000 401222882608128000
- Sum of all divisors σ(n): 1717116953666849280
- Sum of proper divisors (its aliquot sum) s(n): 1315894071058721280
- 401222882608128000 is an abundant number, because the sum of its proper divisors (1315894071058721280) is greater than itself. Its abundance is 914671188450593280
Bases of 401222882608128000
- Binary: 101100100010110111000010110000000011001110110100000000000002
- Hexadecimal: 0x5916E16019DA000
- Base-36: 31QLN3PP1C00
Squares and roots of 401222882608128000
- 401222882608128000 squared (4012228826081280002) is 160979801528375661939611664384000000
- 401222882608128000 cubed (4012228826081280003) is 64588780010899212605916736488977396926513152000000000
-
The
square root of 401222882608128000 is 633421567.8425609151 -
The
cube root of 401222882608128000 is 737556.3921919897
Scales and comparisons
How big is 401222882608128000?- 401,222,882,608,128,000 seconds is equal to 12,757,646,603 years, 4 weeks.
-
To count from 1 to 401,222,882,608,128,000 would take you about thirty-eight billion, two hundred seventy-two million, nine hundred thirty-nine thousand, eight hundred 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 401222882608128000 cubic inches would be around 61463 feet tall.
Recreational maths with 401222882608128000
- 401222882608128000 backwards is 000821806288222104
- 401222882608128000 is a
Harshad number . - The number of decimal digits it has is: 18
- The sum of 401222882608128000's digits is 54
- More coming soon!
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Cite this page
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"Number 401222882608128000 - Facts about the integer". Numbermatics.com. 2024. Web. 3 June 2024.
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Numbermatics. (2024). Number 401222882608128000 - Facts about the integer. Retrieved 3 June 2024, from https://numbermatics.com/n/401222882608128000/
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The information we have on file for 401222882608128000 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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