601381920
601,381,920 is an even composite number composed of seven prime numbers multiplied together.
601381920 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 601381920:
25 × 3 × 5 × 19 × 23 × 47 × 61
(2 × 2 × 2 × 2 × 2 × 3 × 5 × 19 × 23 × 47 × 61)See below for interesting mathematical facts about the number 601381920 from the Numbermatics database.
Names of 601381920
- Cardinal: 601381920 can be written as Six hundred one million, three hundred eighty-one thousand, nine hundred twenty.
Scientific notation
- Scientific notation: 6.0138192 × 108
Factors of 601381920
Divisors of 601381920
- Number of divisors d(n): 384
-
Complete list of divisors:
1 2 3 4 5 6 8 10 12 15 16 19 20 23 24 30 32 38 40 46 47 48 57 60 61 69 76 80 92 94 95 96 114 115 120 122 138 141 152 160 183 184 188 190 228 230 235 240 244 276 282 285 304 305 345 366 368 376 380 437 456 460 470 480 488 552 564 570 608 610 690 705 732 736 752 760 874 893 912 915 920 940 976 1081 1104 1128 1140 1159 1220 1311 1380 1403 1410 1464 1504 1520 1748 1786 1824 1830 1840 1880 1952 2162 2185 2208 2256 2280 2318 2440 2622 2679 2760 2806 2820 2867 2928 3040 3243 3477 3496 3572 3660 3680 3760 4209 4324 4370 4465 4512 4560 4636 4880 5244 5358 5405 5520 5612 5640 5734 5795 5856 6486 6555 6954 6992 7015 7144 7320 7520 8418 8601 8648 8740 8930 9120 9272 9760 10488 10716 10810 11040 11224 11280 11468 11590 12972 13110 13395 13908 13984 14030 14288 14335 14640 16215 16836 17202 17296 17385 17480 17860 18544 20539 20976 21045 21432 21620 22448 22560 22936 23180 25944 26220 26657 26790 27816 28060 28576 28670 29280 32430 33672 34404 34592 34770 34960 35720 37088 41078 41952 42090 42864 43005 43240 44896 45872 46360 51888 52440 53314 53580 54473 55632 56120 57340 61617 64860 65941 67344 68808 69540 69920 71440 79971 82156 84180 85728 86010 86480 91744 92720 102695 103776 104880 106628 107160 108946 111264 112240 114680 123234 129720 131882 133285 134688 137616 139080 142880 159942 163419 164312 168360 172020 172960 185440 197823 205390 209760 213256 214320 217892 224480 229360 246468 259440 263764 266570 272365 275232 278160 308085 319884 326838 328624 329705 336720 344040 395646 399855 410780 426512 428640 435784 458720 492936 518880 527528 533140 544730 556320 616170 639768 653676 657248 659410 673440 688080 791292 799710 817095 821560 853024 871568 985872 989115 1055056 1066280 1089460 1232340 1252879 1279536 1307352 1318820 1376160 1582584 1599420 1634190 1643120 1743136 1971744 1978230 2110112 2132560 2178920 2464680 2505758 2559072 2614704 2637640 3165168 3198840 3268380 3286240 3758637 3956460 4265120 4357840 4929360 5011516 5229408 5275280 6264395 6330336 6397680 6536760 7517274 7912920 8715680 9858720 10023032 10550560 12528790 12795360 13073520 15034548 15825840 18793185 20046064 25057580 26147040 30069096 31651680 37586370 40092128 50115160 60138192 75172740 100230320 120276384 150345480 200460640 300690960 601381920
- Sum of all divisors σ(n): 2159861760
- Sum of proper divisors (its aliquot sum) s(n): 1558479840
- 601381920 is an abundant number, because the sum of its proper divisors (1558479840) is greater than itself. Its abundance is 957097920
Bases of 601381920
- Binary: 1000111101100001011100001000002
- Hexadecimal: 0x23D85C20
- Base-36: 9Y1P9C
Squares and roots of 601381920
- 601381920 squared (6013819202) is 361660213702886400
- 601381920 cubed (6013819203) is 217495913704252132773888000
-
The
square root of 601381920 is 24523.0895280345 -
The
cube root of 601381920 is 844.0797001771
Scales and comparisons
How big is 601381920?- 601,381,920 seconds is equal to 19 years, 6 weeks, 2 days, 10 hours, 32 minutes.
-
To count from 1 to 601,381,920 would take you about twenty-eight 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 601381920 cubic inches would be around 70.3 feet tall.
Recreational maths with 601381920
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 601381920 - Facts about the integer". Numbermatics.com. 2024. Web. 26 April 2024.
APA style:
Numbermatics. (2024). Number 601381920 - Facts about the integer. Retrieved 26 April 2024, from https://numbermatics.com/n/601381920/
Chicago style:
Numbermatics. 2024. "Number 601381920 - Facts about the integer". https://numbermatics.com/n/601381920/
The information we have on file for 601381920 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 601381920, math, Factors of 601381920, curriculum, school, college, exams, university, Prime factorization of 601381920, STEM, science, technology, engineering, physics, economics, calculator, six hundred one million, three hundred eighty-one thousand, nine hundred twenty.