138319997708355600
138,319,997,708,355,600 is an even composite number composed of five prime numbers multiplied together.
138319997708355600 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of four hundred eighty divisors.
Prime factorization of 138319997708355600:
24 × 3 × 52 × 413 × 11873
(2 × 2 × 2 × 2 × 3 × 5 × 5 × 41 × 41 × 41 × 1187 × 1187 × 1187)See below for interesting mathematical facts about the number 138319997708355600 from the Numbermatics database.
Names of 138319997708355600
- Cardinal: 138319997708355600 can be written as One hundred thirty-eight quadrillion, three hundred nineteen trillion, nine hundred ninety-seven billion, seven hundred eight million, three hundred fifty-five thousand, six hundred.
Scientific notation
- Scientific notation: 1.383199977083556 × 1017
Factors of 138319997708355600
Divisors of 138319997708355600
- Number of divisors d(n): 480
-
Complete list of divisors:
1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 41 48 50 60 75 80 82 100 120 123 150 164 200 205 240 246 300 328 400 410 492 600 615 656 820 984 1025 1187 1200 1230 1640 1681 1968 2050 2374 2460 3075 3280 3362 3561 4100 4748 4920 5043 5935 6150 6724 7122 8200 8405 9496 9840 10086 11870 12300 13448 14244 16400 16810 17805 18992 20172 23740 24600 25215 26896 28488 29675 33620 35610 40344 42025 47480 48667 49200 50430 56976 59350 67240 68921 71220 80688 84050 89025 94960 97334 100860 118700 126075 134480 137842 142440 146001 168100 178050 194668 201720 206763 237400 243335 252150 275684 284880 292002 336200 344605 356100 389336 403440 413526 474800 486670 504300 551368 584004 672400 689210 712200 730005 778672 827052 973340 1008600 1033815 1102736 1168008 1216675 1378420 1408969 1424400 1460010 1654104 1723025 1946680 1995347 2017200 2067630 2336016 2433350 2756840 2817938 2920020 3308208 3446050 3650025 3893360 3990694 4135260 4226907 4866700 5169075 5513680 5635876 5840040 5986041 6892100 7044845 7300050 7981388 8270520 8453814 9733400 9976735 10338150 11271752 11680080 11972082 13784200 14089690 14600100 15962776 16541040 16907628 19466800 19953470 20676300 21134535 22543504 23944164 27568400 28179380 29200200 29930205 31925552 33815256 35224225 39906940 41352600 42269070 47888328 49883675 56358760 57767729 58400400 59860410 67630512 70448450 79813880 81809227 82705200 84538140 95776656 99767350 105672675 112717520 115535458 119720820 140896900 149651025 159627760 163618454 169076280 173303187 199534700 211345350 231070916 239441640 245427681 281793800 288838645 299302050 327236908 338152560 346606374 399069400 409046135 422690700 462141832 478883280 490855362 563587600 577677290 598604100 654473816 693212748 798138800 818092270 845381400 866515935 924283664 981710724 1155354580 1197208200 1227138405 1308947632 1386425496 1444193225 1636184540 1672446203 1690762800 1733031870 1963421448 2045230675 2310709160 2368476889 2394416400 2454276810 2772850992 2888386450 3272369080 3344892406 3466063740 3926842896 4090461350 4332579675 4621418320 4736953778 4908553620 5017338609 5776772900 6135692025 6544738160 6689784812 6932127480 7105430667 8180922700 8362231015 8665159350 9473907556 9817107240 10034677218 11553545800 11842384445 12271384050 13379569624 13864254960 14210861334 16361845400 16724462030 17330318700 18947815112 19634214480 20069354436 23107091600 23684768890 24542768100 25086693045 26759139248 28421722668 32723690800 33448924060 34660637400 35527153335 37895630224 40138708872 41811155075 47369537780 49085536200 50173386090 56843445336 59211922225 66897848120 68570294323 69321274800 71054306670 80277417744 83622310150 94739075560 97107552449 98171072400 100346772180 113686890672 118423844450 125433465225 133795696240 137140588646 142108613340 167244620300 177635766675 189478151120 194215104898 200693544360 205710882969 236847688900 250866930450 274281177292 284217226680 291322657347 334489240600 342851471615 355271533350 388430209796 401387088720 411421765938 473695377800 485537762245 501733860900 548562354584 568434453360 582645314694 668978481200 685702943230 710543066700 776860419592 822843531876 947390755600 971075524490 1003467721800 1028554414845 1097124709168 1165290629388 1371405886460 1421086133400 1456613286735 1553720839184 1645687063752 1714257358075 1942151048980 2006935443600 2057108829690 2330581258776 2427688811225 2742811772920 2811382067243 2842172266800 2913226573470 3291374127504 3428514716150 3884302097960 4114217659380 4661162517552 4855377622450 5142772074225 5485623545840 5622764134486 5826453146940 6857029432300 7283066433675 7768604195920 8228435318760 8434146201729 9710755244900 10285544148450 11245528268972 11652906293880 13714058864600 14056910336215 14566132867350 16456870637520 16868292403458 19421510489800 20571088296900 22491056537944 23305812587760 27428117729200 28113820672430 29132265734700 33736584806916 38843020979600 41142176593800 42170731008645 44982113075888 56227641344860 58264531469400 67473169613832 70284551681075 82284353187600 84341462017290 112455282689720 115266664756963 116529062938800 134946339227664 140569103362150 168682924034580 210853655043225 224910565379440 230533329513926 281138206724300 337365848069160 345799994270889 421707310086450 461066659027852 562276413448600 576333323784815 674731696138320 691599988541778 843414620172900 922133318055704 1124552826897200 1152666647569630 1383199977083556 1686829240345800 1728999971354445 1844266636111408 2305333295139260 2766399954167112 2881666618924075 3373658480691600 3457999942708890 4610666590278520 5532799908334224 5763333237848150 6915999885417780 8644999856772225 9221333180557040 11526666475696300 13831999770835560 17289999713544450 23053332951392600 27663999541671120 34579999427088900 46106665902785200 69159998854177800 138319997708355600
- Sum of all divisors σ(n): 454544961026808960
- Sum of proper divisors (its aliquot sum) s(n): 316224963318453360
- 138319997708355600 is an abundant number, because the sum of its proper divisors (316224963318453360) is greater than itself. Its abundance is 177904965610097760
Bases of 138319997708355600
- Binary: 1111010110110100101001110000110001011110101001000000100002
- Hexadecimal: 0x1EB694E18BD4810
- Base-36: 11TYCHPZ1O9C
Squares and roots of 138319997708355600
- 138319997708355600 squared (1383199977083556002) is 19132421766039498435634056051360000
- 138319997708355600 cubed (1383199977083556003) is 2646396534833876225034375864194570200614743616000000
-
The
square root of 138319997708355600 is 371913965.4656108767 -
The
cube root of 138319997708355600 is 517164.0458641013
Scales and comparisons
How big is 138319997708355600?- 138,319,997,708,355,600 seconds is equal to 4,398,148,075 years, 14 weeks, 4 days, 6 hours, 20 minutes.
-
To count from 1 to 138,319,997,708,355,600 would take you about thirteen billion, one hundred ninety-four million, four hundred forty-four thousand, two hundred twenty-five 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 138319997708355600 cubic inches would be around 43097 feet tall.
Recreational maths with 138319997708355600
- 138319997708355600 backwards is 006553807799913831
- The number of decimal digits it has is: 18
- The sum of 138319997708355600's digits is 84
- 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 138319997708355600 - Facts about the integer". Numbermatics.com. 2024. Web. 29 April 2024.
APA style:
Numbermatics. (2024). Number 138319997708355600 - Facts about the integer. Retrieved 29 April 2024, from https://numbermatics.com/n/138319997708355600/
Chicago style:
Numbermatics. 2024. "Number 138319997708355600 - Facts about the integer". https://numbermatics.com/n/138319997708355600/
The information we have on file for 138319997708355600 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 138319997708355600, math, Factors of 138319997708355600, curriculum, school, college, exams, university, Prime factorization of 138319997708355600, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty-eight quadrillion, three hundred nineteen trillion, nine hundred ninety-seven billion, seven hundred eight million, three hundred fifty-five thousand, six hundred.