137034830400
137,034,830,400 is an even composite number composed of six prime numbers multiplied together.
137034830400 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 137034830400:
26 × 3 × 52 × 13 × 31 × 70841
(2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 13 × 31 × 70841)See below for interesting mathematical facts about the number 137034830400 from the Numbermatics database.
Names of 137034830400
- Cardinal: 137034830400 can be written as One hundred thirty-seven billion, thirty-four million, eight hundred thirty thousand, four hundred.
Scientific notation
- Scientific notation: 1.370348304 × 1011
Factors of 137034830400
Divisors of 137034830400
- Number of divisors d(n): 336
-
Complete list of divisors:
1 2 3 4 5 6 8 10 12 13 15 16 20 24 25 26 30 31 32 39 40 48 50 52 60 62 64 65 75 78 80 93 96 100 104 120 124 130 150 155 156 160 186 192 195 200 208 240 248 260 300 310 312 320 325 372 390 400 403 416 465 480 496 520 600 620 624 650 744 775 780 800 806 832 930 960 975 992 1040 1200 1209 1240 1248 1300 1488 1550 1560 1600 1612 1860 1950 1984 2015 2080 2325 2400 2418 2480 2496 2600 2976 3100 3120 3224 3720 3900 4030 4160 4650 4800 4836 4960 5200 5952 6045 6200 6240 6448 7440 7800 8060 9300 9672 9920 10075 10400 12090 12400 12480 12896 14880 15600 16120 18600 19344 20150 20800 24180 24800 25792 29760 30225 31200 32240 37200 38688 40300 48360 49600 60450 62400 64480 70841 74400 77376 80600 96720 120900 128960 141682 148800 161200 193440 212523 241800 283364 322400 354205 386880 425046 483600 566728 644800 708410 850092 920933 967200 1062615 1133456 1416820 1700184 1771025 1841866 1934400 2125230 2196071 2266912 2762799 2833640 3400368 3542050 3683732 4250460 4392142 4533824 4604665 5313075 5525598 5667280 6588213 6800736 7084100 7367464 8500920 8784284 9209330 10626150 10980355 11051196 11334560 13176426 13601472 13813995 14168200 14734928 17001840 17568568 18418660 21252300 21960710 22102392 22669120 23023325 26352852 27627990 28336400 28548923 29469856 32941065 34003680 35137136 36837320 42504600 43921420 44204784 46046650 52705704 54901775 55255980 56672800 57097846 58939712 65882130 68007360 69069975 70274272 73674640 85009200 85646769 87842840 88409568 92093300 105411408 109803550 110511960 113345600 114195692 131764260 138139950 140548544 142744615 147349280 164705325 170018400 171293538 175685680 176819136 184186600 210822816 219607100 221023920 228391384 263528520 276279900 285489230 294698560 329410650 340036800 342587076 351371360 368373200 421645632 428233845 439214200 442047840 456782768 527057040 552559800 570978460 658821300 685174152 702742720 713723075 736746400 856467690 878428400 884095680 913565536 1054114080 1105119600 1141956920 1317642600 1370348304 1427446150 1473492800 1712935380 1756856800 1827131072 2108228160 2141169225 2210239200 2283913840 2635285200 2740696608 2854892300 3425870760 3513713600 4282338450 4420478400 4567827680 5270570400 5481393216 5709784600 6851741520 8564676900 9135655360 10541140800 11419569200 13703483040 17129353800 22839138400 27406966080 34258707600 45678276800 68517415200 137034830400
- Sum of all divisors σ(n): 499797677568
- Sum of proper divisors (its aliquot sum) s(n): 362762847168
- 137034830400 is an abundant number, because the sum of its proper divisors (362762847168) is greater than itself. Its abundance is 225728016768
Bases of 137034830400
- Binary: 11111111001111110100110010010010000002
- Hexadecimal: 0x1FE7E99240
- Base-36: 1QYAZZUO
Squares and roots of 137034830400
- 137034830400 squared (1370348304002) is 18778544742756764160000
- 137034830400 cubed (1370348304003) is 2573314693982484805118398464000000
-
The
square root of 137034830400 is 370182.1584031299 -
The
cube root of 137034830400 is 5155.5735730917
Scales and comparisons
How big is 137034830400?- 137,034,830,400 seconds is equal to 4,357 years, 14 weeks, 5 days, 6 hours, 40 minutes.
-
To count from 1 to 137,034,830,400 would take you about eight thousand, seven hundred fourteen 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 137034830400 cubic inches would be around 429.6 feet tall.
Recreational maths with 137034830400
- 137034830400 backwards is 004038430731
- The number of decimal digits it has is: 12
- The sum of 137034830400's digits is 33
- 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 137034830400 - Facts about the integer". Numbermatics.com. 2024. Web. 24 May 2024.
APA style:
Numbermatics. (2024). Number 137034830400 - Facts about the integer. Retrieved 24 May 2024, from https://numbermatics.com/n/137034830400/
Chicago style:
Numbermatics. 2024. "Number 137034830400 - Facts about the integer". https://numbermatics.com/n/137034830400/
The information we have on file for 137034830400 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 137034830400, math, Factors of 137034830400, curriculum, school, college, exams, university, Prime factorization of 137034830400, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty-seven billion, thirty-four million, eight hundred thirty thousand, four hundred.