331138080
331,138,080 is an even composite number composed of six prime numbers multiplied together.
331138080 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of six hundred forty-eight divisors.
Prime factorization of 331138080:
25 × 32 × 5 × 72 × 13 × 192
(2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 7 × 7 × 13 × 19 × 19)See below for interesting mathematical facts about the number 331138080 from the Numbermatics database.
Names of 331138080
- Cardinal: 331138080 can be written as Three hundred thirty-one million, one hundred thirty-eight thousand and eighty.
Scientific notation
- Scientific notation: 3.3113808 × 108
Factors of 331138080
Divisors of 331138080
- Number of divisors d(n): 648
-
Complete list of divisors:
1 2 3 4 5 6 7 8 9 10 12 13 14 15 16 18 19 20 21 24 26 28 30 32 35 36 38 39 40 42 45 48 49 52 56 57 60 63 65 70 72 76 78 80 84 90 91 95 96 98 104 105 112 114 117 120 126 130 133 140 144 147 152 156 160 168 171 180 182 190 195 196 208 210 224 228 234 240 245 247 252 260 266 273 280 285 288 294 304 312 315 336 342 360 361 364 380 390 392 399 416 420 441 455 456 468 480 490 494 504 520 532 546 560 570 585 588 608 624 630 637 665 672 684 720 722 728 735 741 760 780 784 798 819 840 855 882 910 912 931 936 980 988 1008 1040 1064 1083 1092 1120 1140 1170 1176 1197 1235 1248 1260 1274 1330 1365 1368 1440 1444 1456 1470 1482 1520 1560 1568 1596 1638 1680 1710 1729 1764 1805 1820 1824 1862 1872 1911 1960 1976 1995 2016 2080 2128 2166 2184 2205 2223 2280 2340 2352 2394 2470 2520 2527 2548 2660 2730 2736 2793 2888 2912 2940 2964 3040 3120 3185 3192 3249 3276 3360 3420 3458 3528 3610 3640 3705 3724 3744 3822 3920 3952 3990 4095 4256 4332 4368 4410 4446 4560 4655 4680 4693 4704 4788 4940 5040 5054 5096 5187 5320 5415 5460 5472 5586 5733 5776 5880 5928 5985 6240 6370 6384 6498 6552 6840 6916 7056 7220 7280 7410 7448 7581 7644 7840 7904 7980 8190 8379 8645 8664 8736 8820 8892 9120 9310 9360 9386 9555 9576 9880 10080 10108 10192 10374 10640 10830 10920 11115 11172 11466 11552 11760 11856 11970 12103 12635 12740 12768 12996 13104 13680 13832 13965 14079 14112 14440 14560 14820 14896 15162 15288 15561 15960 16245 16380 16758 17290 17328 17640 17689 17784 18620 18720 18772 19110 19152 19760 20216 20384 20748 21280 21660 21840 22230 22344 22743 22932 23465 23520 23712 23940 24206 25270 25480 25935 25992 26208 27360 27664 27930 28158 28665 28880 29640 29792 30324 30576 31122 31920 32490 32760 32851 33516 34580 34656 35280 35378 35568 36309 37240 37544 37905 38220 38304 39520 40432 41496 41895 42237 43320 43680 44460 44688 45486 45864 46930 47880 48412 50540 50960 51870 51984 53067 55328 55860 56316 57330 57760 59280 60515 60648 61152 62244 63840 64980 65520 65702 67032 69160 70395 70560 70756 71136 72618 74480 75088 75810 76440 77805 80864 82992 83790 84474 86640 88445 88920 89376 90972 91728 93860 95760 96824 98553 101080 101920 103740 103968 106134 108927 111720 112632 113715 114660 118560 121030 121296 124488 129960 131040 131404 134064 138320 140790 141512 145236 148960 150176 151620 152880 155610 159201 164255 165984 167580 168948 173280 176890 177840 181545 181944 183456 187720 191520 193648 197106 202160 207480 211185 212268 217854 223440 225264 227430 229320 229957 242060 242592 248976 259920 262808 265335 268128 276640 281580 283024 290472 295659 303240 305760 311220 318402 328510 335160 337896 353780 355680 363090 363888 375440 387296 394212 404320 414960 422370 424536 435708 446880 450528 454860 458640 459914 484120 492765 497952 519840 525616 530670 544635 563160 566048 580944 591318 606480 622440 636804 657020 670320 675792 689871 707560 726180 727776 750880 788424 796005 829920 844740 849072 871416 909720 917280 919828 968240 985530 1051232 1061340 1089270 1126320 1149785 1161888 1182636 1212960 1244880 1273608 1314040 1340640 1351584 1379742 1415120 1452360 1478295 1576848 1592010 1689480 1698144 1742832 1819440 1839656 1936480 1971060 2069613 2122680 2178540 2252640 2299570 2365272 2489760 2547216 2628080 2759484 2830240 2904720 2956590 3153696 3184020 3378960 3449355 3485664 3638880 3679312 3942120 4139226 4245360 4357080 4599140 4730544 5094432 5256160 5518968 5809440 5913180 6368040 6757920 6898710 7358624 7884240 8278452 8490720 8714160 9198280 9461088 10348065 11037936 11826360 12736080 13797420 15768480 16556904 17428320 18396560 20696130 22075872 23652720 25472160 27594840 33113808 36793120 41392260 47305440 55189680 66227616 82784520 110379360 165569040 331138080
- Sum of all divisors σ(n): 1494042732
- Sum of proper divisors (its aliquot sum) s(n): 1162904652
- 331138080 is an abundant number, because the sum of its proper divisors (1162904652) is greater than itself. Its abundance is 831766572
Bases of 331138080
- Binary: 100111011110011000100001000002
- Hexadecimal: 0x13BCC420
- Base-36: 5H5FS0
Squares and roots of 331138080
- 331138080 squared (3311380802) is 109652428026086400
- 331138080 cubed (3311380803) is 36310094483896440410112000
-
The
square root of 331138080 is 18197.1997845823 -
The
cube root of 331138080 is 691.8358170195
Scales and comparisons
How big is 331138080?- 331,138,080 seconds is equal to 10 years, 27 weeks, 3 days, 14 hours, 48 minutes.
-
To count from 1 to 331,138,080 would take you about fifteen 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 331138080 cubic inches would be around 57.7 feet tall.
Recreational maths with 331138080
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 331138080 - Facts about the integer". Numbermatics.com. 2024. Web. 1 May 2024.
APA style:
Numbermatics. (2024). Number 331138080 - Facts about the integer. Retrieved 1 May 2024, from https://numbermatics.com/n/331138080/
Chicago style:
Numbermatics. 2024. "Number 331138080 - Facts about the integer". https://numbermatics.com/n/331138080/
The information we have on file for 331138080 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 331138080, math, Factors of 331138080, curriculum, school, college, exams, university, Prime factorization of 331138080, STEM, science, technology, engineering, physics, economics, calculator, three hundred thirty-one million, one hundred thirty-eight thousand and eighty.