380938475268000
380,938,475,268,000 is an even composite number composed of seven prime numbers multiplied together.
380938475268000 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of three thousand, four hundred fifty-six divisors.
Prime factorization of 380938475268000:
25 × 32 × 53 × 13 × 173 × 292 × 197
(2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 5 × 5 × 13 × 17 × 17 × 17 × 29 × 29 × 197)See below for interesting mathematical facts about the number 380938475268000 from the Numbermatics database.
Names of 380938475268000
- Cardinal: 380938475268000 can be written as Three hundred eighty trillion, nine hundred thirty-eight billion, four hundred seventy-five million, two hundred sixty-eight thousand.
Scientific notation
- Scientific notation: 3.80938475268 × 1014
Factors of 380938475268000
Divisors of 380938475268000
- Number of divisors d(n): 3456
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Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 13 15 16 17 18 20 24 25 26 29 30 32 34 36 39 40 45 48 50 51 52 58 60 65 68 72 75 78 80 85 87 90 96 100 102 104 116 117 120 125 130 136 144 145 150 153 156 160 170 174 180 195 197 200 204 208 221 225 232 234 240 250 255 260 261 272 288 289 290 300 306 312 325 340 348 360 375 377 390 394 400 408 416 425 435 442 450 464 468 480 493 500 510 520 522 544 578 580 585 591 600 612 624 650 663 680 696 720 725 750 754 765 780 788 800 816 841 850 867 870 884 900 928 936 975 985 986 1000 1020 1040 1044 1105 1125 1131 1156 1160 1170 1182 1200 1224 1248 1275 1300 1305 1326 1360 1392 1440 1445 1450 1479 1500 1508 1530 1560 1576 1625 1632 1682 1700 1734 1740 1768 1773 1800 1872 1885 1950 1970 1972 1989 2000 2040 2080 2088 2125 2175 2210 2250 2262 2312 2320 2340 2364 2400 2448 2465 2523 2550 2561 2600 2601 2610 2652 2720 2784 2890 2900 2925 2955 2958 3000 3016 3060 3120 3152 3250 3315 3349 3364 3393 3400 3468 3480 3536 3546 3600 3625 3744 3757 3770 3825 3900 3940 3944 3978 4000 4080 4176 4205 4250 4335 4350 4420 4437 4500 4524 4624 4640 4680 4728 4875 4896 4913 4925 4930 5046 5100 5122 5200 5202 5220 5304 5525 5655 5713 5780 5800 5850 5910 5916 6000 6032 6120 6240 6304 6375 6409 6500 6525 6630 6698 6728 6786 6800 6936 6960 7072 7092 7200 7225 7250 7395 7514 7540 7569 7650 7683 7800 7880 7888 7956 8160 8352 8381 8410 8500 8670 8700 8840 8865 8874 9000 9048 9248 9360 9425 9456 9750 9826 9850 9860 9945 10047 10092 10200 10244 10400 10404 10440 10608 10875 10933 11050 11271 11310 11426 11560 11600 11700 11820 11832 12000 12064 12240 12325 12615 12750 12805 12818 13000 13005 13050 13260 13396 13456 13572 13600 13872 13920 14184 14297 14450 14500 14625 14739 14775 14790 15028 15080 15138 15300 15366 15600 15760 15776 15912 16575 16745 16762 16820 16965 17000 17139 17340 17400 17680 17730 17748 18000 18096 18720 18785 18850 18912 19125 19227 19500 19652 19700 19720 19890 20094 20184 20400 20488 20808 20880 21025 21216 21675 21750 21866 22100 22185 22542 22620 22852 23049 23120 23200 23400 23640 23664 24480 24565 24625 24650 25143 25230 25500 25610 25636 26000 26010 26100 26520 26792 26912 27144 27625 27744 28275 28368 28565 28594 28900 29000 29250 29478 29550 29580 30056 30141 30160 30276 30600 30732 31200 31520 31824 32045 32625 32799 33150 33490 33524 33640 33813 33930 34000 34278 34680 34800 35360 35460 35496 36000 36125 36192 36975 37570 37700 37845 38250 38415 38454 39000 39304 39400 39440 39780 40188 40368 40800 40976 41616 41760 41905 42050 42891 43350 43500 43537 43732 44200 44217 44325 44370 45084 45240 45704 46098 46240 46800 47125 47280 47328 49130 49250 49300 49725 50235 50286 50460 51000 51220 51272 51417 52000 52020 52200 53040 53584 54288 54665 55250 56355 56550 56736 56933 57130 57188 57681 57800 58000 58500 58956 59100 59160 60112 60282 60320 60552 61200 61464 61625 63075 63648 63869 64025 64090 65025 65250 65598 66300 66980 67048 67280 67626 67860 68000 68556 69360 69600 70920 70992 71485 72250 73695 73875 73950 74269 75140 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793621823475 813971101000 820988093250 846529945040 861851754000 875720632800 896325824160 915717488625 933672733500 952346188170 966848922000 976765321200 1010446884000 1015835934048 1058162431300 1094650791000 1120407280200 1172118385440 1220956651500 1244896978000 1269794917560 1313580949200 1318126212000 1322703039125 1400509100250 1459534388000 1465147981800 1493876373600 1523753901072 1587243646950 1627942202000 1641976186500 1693059890080 1723703508000 1831434977250 1867345467000 1904692376340 1933697844000 1953530642400 2116324862600 2189301582000 2240814560400 2380865470425 2441913303000 2489793956000 2539589835120 2627161898400 2645406078250 2801018200500 2930295963600 3047507802144 3174487293900 3255884404000 3283952373000 3662869954500 3734690934000 3809384752680 3968109117375 4232649725200 4378603164000 4481629120800 4761730940850 4883826606000 5079179670240 5290812156500 5602036401000 5860591927200 6348974587800 6567904746000 7325739909000 7469381868000 7618769505360 7936218234750 8465299450400 9523461881700 9767653212000 10581624313000 11204072802000 11904327352125 12697949175600 13135809492000 14651479818000 15237539010720 15872436469500 19046923763400 21163248626000 22408145604000 23808654704250 25395898351200 29302959636000 31744872939000 38093847526800 42326497252000 47617309408500 63489745878000 76187695053600 95234618817000 126979491756000 190469237634000 380938475268000
- Sum of all divisors σ(n): 1610239159488960
- Sum of proper divisors (its aliquot sum) s(n): 1229300684220960
- 380938475268000 is an abundant number, because the sum of its proper divisors (1229300684220960) is greater than itself. Its abundance is 848362208952960
Bases of 380938475268000
- Binary: 10101101001110110001001100111111111100111101000002
- Hexadecimal: 0x15A76267FE7A0
- Base-36: 3R14PWMUG0
Squares and roots of 380938475268000
- 380938475268000 squared (3809384752680002) is 145114121939508647671824000000
- 380938475268000 cubed (3809384752680003) is 55279552351491051173205252604448832000000000
-
The
square root of 380938475268000 is 19517645.2285617693 -
The
cube root of 380938475268000 is 72491.1428113115
Scales and comparisons
How big is 380938475268000?- 380,938,475,268,000 seconds is equal to 12,112,665 years, 10 weeks, 10 hours.
-
To count from 1 to 380,938,475,268,000 would take you about thirty million, two hundred eighty-one thousand, six hundred sixty-two 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 380938475268000 cubic inches would be around 6040.9 feet tall.
Recreational maths with 380938475268000
- 380938475268000 backwards is 000862574839083
- The number of decimal digits it has is: 15
- The sum of 380938475268000's digits is 63
- More coming soon!
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MLA style:
"Number 380938475268000 - Facts about the integer". Numbermatics.com. 2024. Web. 1 June 2024.
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Numbermatics. (2024). Number 380938475268000 - Facts about the integer. Retrieved 1 June 2024, from https://numbermatics.com/n/380938475268000/
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The information we have on file for 380938475268000 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 380938475268000, math, Factors of 380938475268000, curriculum, school, college, exams, university, Prime factorization of 380938475268000, STEM, science, technology, engineering, physics, economics, calculator, three hundred eighty trillion, nine hundred thirty-eight billion, four hundred seventy-five million, two hundred sixty-eight thousand.