42906706152205100400
42,906,706,152,205,100,400 is an even composite number composed of six prime numbers multiplied together.
What does the number 42906706152205100400 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 480 divisors.
42906706152205100400 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of four hundred eighty divisors.
Prime factorization of 42906706152205100400:
24 × 33 × 52 × 13 × 643 × 475277325307
(2 × 2 × 2 × 2 × 3 × 3 × 3 × 5 × 5 × 13 × 643 × 475277325307)See below for interesting mathematical facts about the number 42906706152205100400 from the Numbermatics database.
Names of 42906706152205100400
- Cardinal: 42906706152205100400 can be written as Forty-two quintillion, nine hundred six quadrillion, seven hundred six trillion, one hundred fifty-two billion, two hundred five million, one hundred thousand, four hundred.
Scientific notation
- Scientific notation: 4.29067061522051004 × 1019
Factors of 42906706152205100400
- Number of distinct prime factors ω(n): 6
- Total number of prime factors Ω(n): 12
- Sum of prime factors: 475277325973
Divisors of 42906706152205100400
- Number of divisors d(n): 480
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 13 15 16 18 20 24 25 26 27 30 36 39 40 45 48 50 52 54 60 65 72 75 78 80 90 100 104 108 117 120 130 135 144 150 156 180 195 200 208 216 225 234 240 260 270 300 312 325 351 360 390 400 432 450 468 520 540 585 600 624 643 650 675 702 720 780 900 936 975 1040 1080 1170 1200 1286 1300 1350 1404 1560 1755 1800 1872 1929 1950 2160 2340 2572 2600 2700 2808 2925 3120 3215 3510 3600 3858 3900 4680 5144 5200 5400 5616 5787 5850 6430 7020 7716 7800 8359 8775 9360 9645 10288 10800 11574 11700 12860 14040 15432 15600 16075 16718 17361 17550 19290 23148 23400 25077 25720 28080 28935 30864 32150 33436 34722 35100 38580 41795 46296 46800 48225 50154 51440 57870 64300 66872 69444 70200 75231 77160 83590 86805 92592 96450 100308 115740 125385 128600 133744 138888 140400 144675 150462 154320 167180 173610 192900 200616 208975 225693 231480 250770 257200 277776 289350 300924 334360 347220 376155 385800 401232 417950 434025 451386 462960 501540 578700 601848 626925 668720 694440 752310 771600 835900 868050 902772 1003080 1128465 1157400 1203696 1253850 1388880 1504620 1671800 1736100 1805544 1880775 2006160 2256930 2314800 2507700 3009240 3343600 3472200 3611088 3761550 4513860 5015400 5642325 6018480 6944400 7523100 9027720 10030800 11284650 15046200 18055440 22569300 30092400 45138600 90277200 475277325307 950554650614 1425831975921 1901109301228 2376386626535 2851663951842 3802218602456 4277495927763 4752773253070 5703327903684 6178605228991 7129159879605 7604437204912 8554991855526 9505546506140 11406655807368 11881933132675 12357210457982 12832487783289 14258319759210 17109983711052 18535815686973 19011093012280 21387479638815 22813311614736 23763866265350 24714420915964 25664975566578 28516639518420 30893026144955 34219967422104 35645799398025 37071631373946 38022186024560 42774959277630 47527732530700 49428841831928 51329951133156 55607447060919 57033279036840 61786052289910 64162438916445 68439934844208 71291598796050 74143262747892 85549918555260 92679078434865 95055465061400 98857683663856 102659902266312 106937398194075 111214894121838 114066558073680 123572104579820 128324877832890 142583197592100 148286525495784 154465130724775 166822341182757 171099837110520 185358156869730 190110930122800 205319804532624 213874796388150 222429788243676 247144209159640 256649755665780 278037235304595 285166395184200 296573050991568 305603320172401 308930261449550 320812194582225 333644682365514 342199674221040 370716313739460 427749592776300 444859576487352 463395392174325 494288418319280 513299511331560 556074470609190 570332790368400 611206640344802 617860522899100 641624389164450 667289364731028 741432627478920 834111705913785 855499185552600 889719152974704 916809960517203 926790784348650 1026599022663120 1112148941218380 1222413280689604 1235721045798200 1283248778328900 1334578729462056 1390186176522975 1482865254957840 1528016600862005 1668223411827570 1710998371105200 1833619921034406 1853581568697300 2224297882436760 2444826561379208 2471442091596400 2566497556657800 2669157458924112 2750429881551609 2780372353045950 3056033201724010 3336446823655140 3667239842068812 3707163137394600 3972843162241213 4170558529568925 4448595764873520 4584049802586015 4889653122758416 5132995113315600 5500859763103218 5560744706091900 6112066403448020 6672893647310280 7334479684137624 7414326274789200 7640083004310025 7945686324482426 8251289644654827 8341117059137850 9168099605172030 11001719526206436 11121489412183800 11918529486723639 12224132806896040 13345787294620560 13752149407758045 14668959368275248 15280166008620050 15891372648964852 16502579289309654 16682234118275700 18336199210344060 19864215811206065 22003439052412872 22242978824367600 22920249012930075 23837058973447278 24448265613792080 27504298815516090 30560332017240100 31782745297929704 33005158578619308 33364468236551400 35755588460170917 36672398420688120 39728431622412130 41256448223274135 44006878104825744 45840498025860150 47674117946894556 55008597631032180 59592647433618195 61120664034480200 63565490595859408 66010317157238616 66728936473102800 68760747038790225 71511176920341834 73344796841376240 79456863244824260 82512896446548270 91680996051720300 95348235893789112 99321079056030325 107266765380512751 110017195262064360 119185294867236390 122241328068960400 132020634314477232 137521494077580450 143022353840683668 158913726489648520 165025792893096540 178777942300854585 183361992103440600 190696471787578224 198642158112060650 206282241116370675 214533530761025502 220034390524128720 238370589734472780 275042988155160900 286044707681367336 297963237168090975 317827452979297040 330051585786193080 357555884601709170 366723984206881200 397284316224121300 412564482232741350 429067061522051004 476741179468945560 536333826902563755 550085976310321800 572089415362734672 595926474336181950 660103171572386160 715111769203418340 794568632448242600 825128964465482700 858134123044102008 893889711504272925 953482358937891120 1072667653805127510 1100171952620643600 1191852948672363900 1430223538406836680 1589137264896485200 1650257928930965400 1716268246088204016 1787779423008545850 2145335307610255020 2383705897344727800 2681669134512818775 2860447076813673360 3300515857861930800 3575558846017091700 4290670615220510040 4767411794689455600 5363338269025637550 7151117692034183400 8581341230441020080 10726676538051275100 14302235384068366800 21453353076102550200 42906706152205100400
- Sum of all divisors σ(n): 164719258029713112320
- Sum of proper divisors (its aliquot sum) s(n): 121812551877508011920
- 42906706152205100400 is an abundant number, because the sum of its proper divisors (121812551877508011920) is greater than itself. Its abundance is 78905845725302911520
Bases of 42906706152205100400
- Binary: 1001010011011100110011110111101010011111000100000010100101011100002
- Hexadecimal: 0x253733DEA7C40A570
- Base-36: 91ZGLXVWB5OC0
Squares and roots of 42906706152205100400
- 42906706152205100400 squared (429067061522051004002) is 1840985432831675012292957387774080160000
- 42906706152205100400 cubed (429067061522051004003) is 78990620996998799879082860053971265264628563270448064000000
-
The
square root of 42906706152205100400 is 6550321072.4517237515 -
The
cube root of 42906706152205100400 is 3500862.5398592053
Scales and comparisons
How big is 42906706152205100400?- 42,906,706,152,205,100,400 seconds is equal to 293,274,701,009 years, 3 weeks, 3 days, 15 hours, 30 minutes, 7 seconds.
-
To count from 1 to 42,906,706,152,205,100,400 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 42906706152205100400 cubic inches would be around 291738.5 feet tall.
Recreational maths with 42906706152205100400
- 42906706152205100400 backwards is 00400150225160760924
- 42906706152205100400 is a
Harshad number . - The number of decimal digits it has is: 20
- The sum of 42906706152205100400's digits is 54
- More coming soon!
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The information we have on file for 42906706152205100400 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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