137130226688
137,130,226,688 is an even composite number composed of six prime numbers multiplied together.
What does the number 137130226688 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 352 divisors.
137130226688 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of three hundred fifty-two divisors.
Prime factorization of 137130226688:
210 × 7 × 13 × 19 × 73 × 1061
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 7 × 13 × 19 × 73 × 1061)See below for interesting mathematical facts about the number 137130226688 from the Numbermatics database.
Names of 137130226688
- Cardinal: 137130226688 can be written as One hundred thirty-seven billion, one hundred thirty million, two hundred twenty-six thousand, six hundred eighty-eight.
Scientific notation
- Scientific notation: 1.37130226688 × 1011
Factors of 137130226688
Divisors of 137130226688
- Number of divisors d(n): 352
-
Complete list of divisors:
1 2 4 7 8 13 14 16 19 26 28 32 38 52 56 64 73 76 91 104 112 128 133 146 152 182 208 224 247 256 266 292 304 364 416 448 494 511 512 532 584 608 728 832 896 949 988 1022 1024 1061 1064 1168 1216 1387 1456 1664 1729 1792 1898 1976 2044 2122 2128 2336 2432 2774 2912 3328 3458 3584 3796 3952 4088 4244 4256 4672 4864 5548 5824 6643 6656 6916 7168 7427 7592 7904 8176 8488 8512 9344 9709 9728 11096 11648 13286 13312 13793 13832 14854 15184 15808 16352 16976 17024 18031 18688 19418 19456 20159 22192 23296 26572 27586 27664 29708 30368 31616 32704 33952 34048 36062 37376 38836 40318 44384 46592 53144 55172 55328 59416 60736 63232 65408 67904 68096 72124 74752 77453 77672 80636 88768 93184 96551 106288 110344 110656 118832 121472 126217 126464 130816 135808 136192 141113 144248 154906 155344 161272 177536 193102 212576 220688 221312 237664 242944 252434 252928 261632 262067 271616 282226 288496 309812 310688 322544 355072 386204 425152 441376 442624 475328 485888 504868 523264 524134 542171 543232 564452 576992 619624 621376 645088 710144 772408 850304 882752 885248 950656 971776 1006889 1009736 1048268 1084342 1086464 1128904 1153984 1239248 1242752 1290176 1420288 1471607 1544816 1700608 1765504 1770496 1834469 1901312 2013778 2019472 2096536 2168684 2257808 2307968 2478496 2485504 2580352 2943214 3089632 3401216 3531008 3668938 3802624 4027556 4038944 4193072 4337368 4515616 4615936 4956992 4971008 5160704 5886428 6179264 6802432 7048223 7062016 7337876 7605248 8055112 8077888 8386144 8674736 9031232 9231872 9913984 9942016 10301249 10321408 11772856 12358528 14096446 14124032 14675752 16110224 16155776 16772288 17349472 18062464 18463744 19130891 19827968 20602498 20642816 23545712 24717056 28192892 29351504 32220448 32311552 33544576 34698944 36124928 38261782 39655936 41204996 47091424 49434112 56385784 58703008 64440896 64623104 67089152 69397888 72249856 76523564 79311872 82409992 94182848 98868224 112771568 117406016 128881792 129246208 133916237 134178304 138795776 144499712 153047128 164819984 188365696 225543136 234812032 257763584 267832474 268356608 277591552 306094256 329639968 376731392 451086272 469624064 515527168 535664948 555183104 612188512 659279936 753462784 902172544 939248128 1031054336 1071329896 1224377024 1318559872 1506925568 1804345088 1878496256 2142659792 2448754048 2637119744 3608690176 4285319584 4897508096 5274239488 7217380352 8570639168 9795016192 10548478976 17141278336 19590032384 34282556672 68565113344 137130226688
- Sum of all divisors σ(n): 360347984640
- Sum of proper divisors (its aliquot sum) s(n): 223217757952
- 137130226688 is an abundant number, because the sum of its proper divisors (223217757952) is greater than itself. Its abundance is 86087531264
Bases of 137130226688
- Binary: 11111111011011001100100110100000000002
- Hexadecimal: 0x1FED993400
- Base-36: 1QZVSO3K
Squares and roots of 137130226688
- 137130226688 squared (1371302266882) is 18804699071502267449344
- 137130226688 cubed (1371302266883) is 2578692646474729056034546276892672
-
The
square root of 137130226688 is 370310.9864532781 -
The
cube root of 137130226688 is 5156.7696400511
Scales and comparisons
How big is 137130226688?- 137,130,226,688 seconds is equal to 4,360 years, 16 weeks, 3 days, 9 hours, 38 minutes, 8 seconds.
-
To count from 1 to 137,130,226,688 would take you about eight thousand, seven hundred twenty 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 137130226688 cubic inches would be around 429.7 feet tall.
Recreational maths with 137130226688
- 137130226688 backwards is 886622031731
- The number of decimal digits it has is: 12
- The sum of 137130226688's digits is 47
- 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 137130226688 - Facts about the integer". Numbermatics.com. 2024. Web. 20 June 2024.
APA style:
Numbermatics. (2024). Number 137130226688 - Facts about the integer. Retrieved 20 June 2024, from https://numbermatics.com/n/137130226688/
Chicago style:
Numbermatics. 2024. "Number 137130226688 - Facts about the integer". https://numbermatics.com/n/137130226688/
The information we have on file for 137130226688 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 137130226688, math, Factors of 137130226688, curriculum, school, college, exams, university, Prime factorization of 137130226688, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty-seven billion, one hundred thirty million, two hundred twenty-six thousand, six hundred eighty-eight.