138042234089105735400
138,042,234,089,105,735,400 is an even composite number composed of seven prime numbers multiplied together.
What does the number 138042234089105735400 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 384 divisors.
138042234089105735400 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of three hundred eighty-four divisors.
Prime factorization of 138042234089105735400:
23 × 3 × 52 × 11 × 257 × 88741 × 917087137
(2 × 2 × 2 × 3 × 5 × 5 × 11 × 257 × 88741 × 917087137)See below for interesting mathematical facts about the number 138042234089105735400 from the Numbermatics database.
Names of 138042234089105735400
- Cardinal: 138042234089105735400 can be written as One hundred thirty-eight quintillion, forty-two quadrillion, two hundred thirty-four trillion, eighty-nine billion, one hundred five million, seven hundred thirty-five thousand, four hundred.
Scientific notation
- Scientific notation: 1.380422340891057354 × 1020
Factors of 138042234089105735400
Divisors of 138042234089105735400
- Number of divisors d(n): 384
-
Complete list of divisors:
1 2 3 4 5 6 8 10 11 12 15 20 22 24 25 30 33 40 44 50 55 60 66 75 88 100 110 120 132 150 165 200 220 257 264 275 300 330 440 514 550 600 660 771 825 1028 1100 1285 1320 1542 1650 2056 2200 2570 2827 3084 3300 3855 5140 5654 6168 6425 6600 7710 8481 10280 11308 12850 14135 15420 16962 19275 22616 25700 28270 30840 33924 38550 42405 51400 56540 67848 70675 77100 84810 88741 113080 141350 154200 169620 177482 212025 266223 282700 339240 354964 424050 443705 532446 565400 709928 848100 887410 976151 1064892 1331115 1696200 1774820 1952302 2129784 2218525 2662230 2928453 3549640 3904604 4437050 4880755 5324460 5856906 6655575 7809208 8874100 9761510 10648920 11713812 13311150 14642265 17748200 19523020 22806437 23427624 24403775 26622300 29284530 39046040 45612874 48807550 53244600 58569060 68419311 73211325 91225748 97615100 114032185 117138120 136838622 146422650 182451496 195230200 228064370 250870807 273677244 292845300 342096555 456128740 501741614 547354488 570160925 585690600 684193110 752612421 912257480 917087137 1003483228 1140321850 1254354035 1368386220 1505224842 1710482775 1834174274 2006966456 2280643700 2508708070 2736772440 2751261411 3010449684 3420965550 3668348548 3763062105 4561287400 4585435685 5017416140 5502522822 6020899368 6271770175 6841931100 7336697096 7526124210 9170871370 10034832280 10087958507 11005045644 12543540350 13683862200 13756307055 15052248420 18341742740 18815310525 20175917014 22010091288 22927178425 25087080700 27512614110 30104496840 30263875521 36683485480 37630621050 40351834028 45854356850 50174161400 50439792535 55025228220 60527751042 68781535275 75261242100 80703668056 91708713700 100879585070 110050456440 121055502084 137563070550 150522484200 151319377605 183417427400 201759170140 235691394209 242111004168 252198962675 275126141100 302638755210 403518340280 471382788418 504397925350 550252282200 605277510420 707074182627 756596888025 942765576836 1008795850700 1178456971045 1210555020840 1414148365254 1513193776050 1885531153672 2017591701400 2356913942090 2592605336299 2828296730508 3026387552100 3535370913135 4713827884180 5185210672598 5656593461016 5892284855225 6052775104200 7070741826270 7777816008897 9427655768360 10370421345196 11784569710450 12963026681495 14141483652540 15555632017794 17676854565675 20740842690392 23569139420900 25926053362990 28282967305080 31111264035588 35353709131350 38889080044485 47138278841800 51852106725980 62222528071176 64815133407475 70707418262700 77778160088970 81383229624517 103704213451960 129630266814950 141414836525400 155556320177940 162766459249034 194445400222425 244149688873551 259260533629900 311112640355880 325532918498068 388890800444850 406916148122585 488299377747102 518521067259800 651065836996136 777781600889700 813832296245170 895215525869687 976598755494204 1220748444367755 1555563201779400 1627664592490340 1790431051739374 1953197510988408 2034580740612925 2441496888735510 2685646577609061 3255329184980680 3580862103478748 4069161481225850 4476077629348435 4882993777471020 5371293155218122 6103742221838775 7161724206957496 8138322962451700 8952155258696870 9765987554942040 10742586310436244 12207484443677550 13428232888045305 16276645924903400 17904310517393740 20915490013500869 21485172620872488 22380388146742175 24414968887355100 26856465776090610 35808621034787480 41830980027001738 44760776293484350 48829937774710200 53712931552181220 62746470040502607 67141164440226525 83661960054003476 89521552586968700 104577450067504345 107425863104362440 125492940081005214 134282328880453050 167323920108006952 179043105173937400 209154900135008690 230070390148509559 250985880162010428 268564657760906100 313732350202513035 418309800270017380 460140780297019118 501971760324020856 522887250337521725 537129315521812200 627464700405026070 690211170445528677 836619600540034760 920281560594038236 1045774500675043450 1150351950742547795 1254929400810052140 1380422340891057354 1568661751012565175 1840563121188076472 2091549001350086900 2300703901485095590 2509858801620104280 2760844681782114708 3137323502025130350 3451055852227643385 4183098002700173800 4601407802970191180 5521689363564229416 5751759753712738975 6274647004050260700 6902111704455286770 9202815605940382360 11503519507425477950 12549294008100521400 13804223408910573540 17255279261138216925 23007039014850955900 27608446817821147080 34510558522276433850 46014078029701911800 69021117044552867700 138042234089105735400
- Sum of all divisors σ(n): 468655492398888389760
- Sum of proper divisors (its aliquot sum) s(n): 330613258309782654360
- 138042234089105735400 is an abundant number, because the sum of its proper divisors (330613258309782654360) is greater than itself. Its abundance is 192571024220676918960
Bases of 138042234089105735400
- Binary: 11101111011101110001000100010000110011000100111011100111110111010002
- Hexadecimal: 0x77BB8888662773EE8
- Base-36: T4S340SDP91WO
Squares and roots of 138042234089105735400
- 138042234089105735400 squared (1380422340891057354002) is 19055658392311465561597599281174813160000
- 138042234089105735400 cubed (1380422340891057354003) is 2630485656513491584515092058528093435962592542579397864000000
-
The
square root of 138042234089105735400 is 11749137589.1639695871 -
The
cube root of 138042234089105735400 is 5168176.3748224843
Scales and comparisons
How big is 138042234089105735400?- 138,042,234,089,105,735,400 seconds is equal to 293,274,701,009 years, 3 weeks, 3 days, 15 hours, 30 minutes, 7 seconds.
-
To count from 1 to 138,042,234,089,105,735,400 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 138042234089105735400 cubic inches would be around 430681.4 feet tall.
Recreational maths with 138042234089105735400
- 138042234089105735400 backwards is 004537501980432240831
- The number of decimal digits it has is: 21
- The sum of 138042234089105735400's digits is 69
- More coming soon!
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The information we have on file for 138042234089105735400 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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