106142254400
106,142,254,400 is an even composite number composed of six prime numbers multiplied together.
106142254400 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of three hundred thirty-six divisors.
Prime factorization of 106142254400:
26 × 52 × 7 × 13 × 89 × 8191
(2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 7 × 13 × 89 × 8191)See below for interesting mathematical facts about the number 106142254400 from the Numbermatics database.
Names of 106142254400
- Cardinal: 106142254400 can be written as One hundred six billion, one hundred forty-two million, two hundred fifty-four thousand, four hundred.
Scientific notation
- Scientific notation: 1.061422544 × 1011
Factors of 106142254400
Divisors of 106142254400
- Number of divisors d(n): 336
-
Complete list of divisors:
1 2 4 5 7 8 10 13 14 16 20 25 26 28 32 35 40 50 52 56 64 65 70 80 89 91 100 104 112 130 140 160 175 178 182 200 208 224 260 280 320 325 350 356 364 400 416 445 448 455 520 560 623 650 700 712 728 800 832 890 910 1040 1120 1157 1246 1300 1400 1424 1456 1600 1780 1820 2080 2225 2240 2275 2314 2492 2600 2800 2848 2912 3115 3560 3640 4160 4450 4550 4628 4984 5200 5600 5696 5785 5824 6230 7120 7280 8099 8191 8900 9100 9256 9968 10400 11200 11570 12460 14240 14560 15575 16198 16382 17800 18200 18512 19936 20800 23140 24920 28480 28925 29120 31150 32396 32764 35600 36400 37024 39872 40495 40955 46280 49840 57337 57850 62300 64792 65528 71200 72800 74048 80990 81910 92560 99680 106483 114674 115700 124600 129584 131056 142400 145600 161980 163820 185120 199360 202475 204775 212966 229348 231400 249200 259168 262112 286685 323960 327640 370240 404950 409550 425932 458696 462800 498400 518336 524224 532415 573370 647920 655280 728999 745381 809900 819100 851864 917392 925600 996800 1064830 1146740 1295840 1310560 1433425 1457998 1490762 1619800 1638200 1703728 1834784 1851200 2129660 2293480 2591680 2621120 2662075 2866850 2915996 2981524 3239600 3276400 3407456 3644995 3669568 3726905 4259320 4586960 5102993 5324150 5733700 5831992 5963048 6479200 6552800 6814912 7289990 7453810 8518640 9173920 9476987 10205986 10648300 11467400 11663984 11926096 12958400 13105600 14579980 14907620 17037280 18224975 18347840 18634525 18953974 20411972 21296600 22934800 23327968 23852192 25514965 29159960 29815240 34074560 36449950 37269050 37907948 40823944 42593200 45869600 46655936 47384935 47704384 51029930 58319920 59630480 66338909 72899900 74538100 75815896 81647888 85186400 91739200 94769870 102059860 116639840 119260960 127574825 132677818 145799800 149076200 151631792 163295776 170372800 189539740 204119720 233279680 236924675 238521920 255149650 265355636 291599600 298152400 303263584 326591552 331694545 379079480 408239440 473849350 510299300 530711272 583199200 596304800 606527168 663389090 758158960 816478880 947698700 1020598600 1061422544 1166398400 1192609600 1326778180 1516317920 1632957760 1658472725 1895397400 2041197200 2122845088 2653556360 3032635840 3316945450 3790794800 4082394400 4245690176 5307112720 6633890900 7581589600 8164788800 10614225440 13267781800 15163179200 21228450880 26535563600 53071127200 106142254400
- Sum of all divisors σ(n): 325099192320
- Sum of proper divisors (its aliquot sum) s(n): 218956937920
- 106142254400 is an abundant number, because the sum of its proper divisors (218956937920) is greater than itself. Its abundance is 112814683520
Bases of 106142254400
- Binary: 11000101101101001001001000101010000002
- Hexadecimal: 0x18B6924540
- Base-36: 1CRECVNK
Squares and roots of 106142254400
- 106142254400 squared (1061422544002) is 11266178169114319360000
- 106142254400 cubed (1061422544003) is 1195817549341858308191965184000000
-
The
square root of 106142254400 is 325794.8041329079 -
The
cube root of 106142254400 is 4734.7396407647
Scales and comparisons
How big is 106142254400?- 106,142,254,400 seconds is equal to 3,374 years, 51 weeks, 5 days, 7 hours, 33 minutes, 20 seconds.
-
To count from 1 to 106,142,254,400 would take you about six thousand, seven hundred forty-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 106142254400 cubic inches would be around 394.6 feet tall.
Recreational maths with 106142254400
- 106142254400 backwards is 004452241601
- The number of decimal digits it has is: 12
- The sum of 106142254400's digits is 29
- 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 106142254400 - Facts about the integer". Numbermatics.com. 2024. Web. 13 May 2024.
APA style:
Numbermatics. (2024). Number 106142254400 - Facts about the integer. Retrieved 13 May 2024, from https://numbermatics.com/n/106142254400/
Chicago style:
Numbermatics. 2024. "Number 106142254400 - Facts about the integer". https://numbermatics.com/n/106142254400/
The information we have on file for 106142254400 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 106142254400, math, Factors of 106142254400, curriculum, school, college, exams, university, Prime factorization of 106142254400, STEM, science, technology, engineering, physics, economics, calculator, one hundred six billion, one hundred forty-two million, two hundred fifty-four thousand, four hundred.