381288960
381,288,960 is an even composite number composed of six prime numbers multiplied together.
381288960 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of four hundred eighty divisors.
Prime factorization of 381288960:
29 × 32 × 5 × 13 × 19 × 67
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 13 × 19 × 67)See below for interesting mathematical facts about the number 381288960 from the Numbermatics database.
Names of 381288960
- Cardinal: 381288960 can be written as Three hundred eighty-one million, two hundred eighty-eight thousand, nine hundred sixty.
Scientific notation
- Scientific notation: 3.8128896 × 108
Factors of 381288960
Divisors of 381288960
- Number of divisors d(n): 480
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 13 15 16 18 19 20 24 26 30 32 36 38 39 40 45 48 52 57 60 64 65 67 72 76 78 80 90 95 96 104 114 117 120 128 130 134 144 152 156 160 171 180 190 192 195 201 208 228 234 240 247 256 260 268 285 288 304 312 320 335 342 360 380 384 390 402 416 456 468 480 494 512 520 536 570 576 585 603 608 624 640 670 684 720 741 760 768 780 804 832 855 871 912 936 960 988 1005 1040 1072 1140 1152 1170 1206 1216 1235 1248 1273 1280 1340 1368 1440 1482 1520 1536 1560 1608 1664 1710 1742 1824 1872 1920 1976 2010 2080 2144 2223 2280 2304 2340 2412 2432 2470 2496 2546 2560 2613 2680 2736 2880 2964 3015 3040 3120 3216 3328 3420 3484 3648 3705 3744 3819 3840 3952 4020 4160 4288 4355 4446 4560 4608 4680 4824 4864 4940 4992 5092 5226 5360 5472 5760 5928 6030 6080 6240 6365 6432 6656 6840 6968 7296 7410 7488 7638 7680 7839 7904 8040 8320 8576 8710 8892 9120 9360 9648 9728 9880 9984 10184 10452 10720 10944 11115 11457 11520 11856 12060 12160 12480 12730 12864 13065 13680 13936 14592 14820 14976 15276 15678 15808 16080 16549 16640 17152 17420 17784 18240 18720 19095 19296 19760 19968 20368 20904 21440 21888 22230 22914 23040 23712 24120 24320 24960 25460 25728 26130 27360 27872 29184 29640 29952 30552 31356 31616 32160 33098 33280 34304 34840 35568 36480 37440 38190 38592 39195 39520 40736 41808 42880 43776 44460 45828 47424 48240 48640 49647 49920 50920 51456 52260 54720 55744 57285 59280 59904 61104 62712 63232 64320 66196 69680 71136 72960 74880 76380 77184 78390 79040 81472 82745 83616 85760 87552 88920 91656 94848 96480 99294 99840 101840 102912 104520 109440 111488 114570 118560 122208 125424 126464 128640 132392 139360 142272 145920 148941 149760 152760 154368 156780 158080 162944 165490 167232 171520 177840 183312 189696 192960 198588 203680 209040 218880 222976 229140 237120 244416 248235 250848 257280 264784 278720 284544 297882 299520 305520 308736 313560 316160 325888 330980 334464 355680 366624 379392 385920 397176 407360 418080 437760 445952 458280 474240 488832 496470 501696 514560 529568 557440 569088 595764 611040 627120 632320 651776 661960 668928 711360 733248 744705 771840 794352 814720 836160 916560 948480 977664 992940 1003392 1059136 1114880 1138176 1191528 1222080 1254240 1323920 1337856 1422720 1466496 1489410 1543680 1588704 1629440 1672320 1833120 1896960 1955328 1985880 2006784 2118272 2229760 2383056 2444160 2508480 2647840 2845440 2932992 2978820 3177408 3258880 3344640 3666240 3971760 4013568 4236544 4766112 4888320 5016960 5295680 5690880 5865984 5957640 6354816 6689280 7332480 7943520 8473088 9532224 9776640 10033920 10591360 11915280 12709632 14664960 15887040 19064448 20067840 21182720 23830560 25419264 29329920 31774080 38128896 42365440 47661120 63548160 76257792 95322240 127096320 190644480 381288960
- Sum of all divisors σ(n): 1519277760
- Sum of proper divisors (its aliquot sum) s(n): 1137988800
- 381288960 is an abundant number, because the sum of its proper divisors (1137988800) is greater than itself. Its abundance is 756699840
Bases of 381288960
- Binary: 101101011101000000010000000002
- Hexadecimal: 0x16BA0200
- Base-36: 6B0CG0
Squares and roots of 381288960
- 381288960 squared (3812889602) is 145381271017881600
- 381288960 cubed (3812889603) is 55432273629886216667136000
-
The
square root of 381288960 is 19526.6218276485 -
The
cube root of 381288960 is 725.1336796701
Scales and comparisons
How big is 381288960?- 381,288,960 seconds is equal to 12 years, 6 weeks, 3 days, 1 hour, 36 minutes.
-
To count from 1 to 381,288,960 would take you about eighteen 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 381288960 cubic inches would be around 60.4 feet tall.
Recreational maths with 381288960
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 381288960 - Facts about the integer". Numbermatics.com. 2024. Web. 28 April 2024.
APA style:
Numbermatics. (2024). Number 381288960 - Facts about the integer. Retrieved 28 April 2024, from https://numbermatics.com/n/381288960/
Chicago style:
Numbermatics. 2024. "Number 381288960 - Facts about the integer". https://numbermatics.com/n/381288960/
The information we have on file for 381288960 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 381288960, math, Factors of 381288960, curriculum, school, college, exams, university, Prime factorization of 381288960, STEM, science, technology, engineering, physics, economics, calculator, three hundred eighty-one million, two hundred eighty-eight thousand, nine hundred sixty.