380940120
380,940,120 is an even composite number composed of seven prime numbers multiplied together.
380940120 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 380940120:
23 × 32 × 5 × 11 × 19 × 61 × 83
(2 × 2 × 2 × 3 × 3 × 5 × 11 × 19 × 61 × 83)See below for interesting mathematical facts about the number 380940120 from the Numbermatics database.
Names of 380940120
- Cardinal: 380940120 can be written as Three hundred eighty million, nine hundred forty thousand, one hundred twenty.
Scientific notation
- Scientific notation: 3.8094012 × 108
Factors of 380940120
Divisors of 380940120
- Number of divisors d(n): 384
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Complete list of divisors:
1 2 3 4 5 6 8 9 10 11 12 15 18 19 20 22 24 30 33 36 38 40 44 45 55 57 60 61 66 72 76 83 88 90 95 99 110 114 120 122 132 152 165 166 171 180 183 190 198 209 220 228 244 249 264 285 305 330 332 342 360 366 380 396 415 418 440 456 488 495 498 549 570 610 627 660 664 671 684 732 747 760 792 830 836 855 913 915 990 996 1045 1098 1140 1159 1220 1245 1254 1320 1342 1368 1464 1494 1577 1660 1672 1710 1826 1830 1881 1980 1992 2013 2090 2196 2280 2318 2440 2490 2508 2684 2739 2745 2988 3135 3154 3320 3355 3420 3477 3652 3660 3735 3762 3960 4026 4180 4392 4565 4636 4731 4980 5016 5063 5368 5478 5490 5795 5976 6039 6270 6308 6710 6840 6954 7304 7320 7470 7524 7885 8052 8217 8360 9130 9272 9405 9462 9960 10065 10126 10431 10956 10980 11590 12078 12540 12616 12749 13420 13695 13908 14193 14940 15048 15189 15770 16104 16434 17347 17385 18260 18810 18924 20130 20252 20862 21912 21960 23180 23655 24156 25080 25315 25498 26840 27390 27816 28386 29880 30195 30378 31540 32868 34694 34770 36520 37620 37848 38247 40260 40504 41085 41724 45567 46360 47310 48312 50630 50996 52041 52155 54780 55693 56772 60390 60756 63080 63745 65736 69388 69540 70965 75240 75945 76494 80520 82170 83448 86735 91134 94620 96197 101260 101992 104082 104310 109560 111386 113544 114741 120780 121512 127490 138776 139080 141930 151890 152988 156123 164340 167079 173470 182268 189240 191235 192394 202520 208164 208620 222772 227835 229482 241560 254980 260205 278465 283860 288591 303780 305976 312246 328680 334158 346940 364536 382470 384788 416328 417240 445544 455670 458964 480985 501237 509960 520410 556930 567720 573705 577182 607560 624492 668316 693880 764940 769576 780615 835395 865773 911340 917928 961970 1002474 1040820 1058167 1113860 1147410 1154364 1248984 1336632 1442955 1529880 1561230 1670790 1731546 1822680 1923940 2004948 2081640 2116334 2227720 2294820 2308728 2506185 2885910 3122460 3174501 3341580 3463092 3847880 4009896 4232668 4328865 4589640 5012370 5290835 5771820 6244920 6349002 6683160 6926184 8465336 8657730 9523503 10024740 10581670 11543640 12698004 15872505 17315460 19047006 20049480 21163340 25396008 31745010 34630920 38094012 42326680 47617515 63490020 76188024 95235030 126980040 190470060 380940120
- Sum of all divisors σ(n): 1462406400
- Sum of proper divisors (its aliquot sum) s(n): 1081466280
- 380940120 is an abundant number, because the sum of its proper divisors (1081466280) is greater than itself. Its abundance is 700526160
Bases of 380940120
- Binary: 101101011010010101111010110002
- Hexadecimal: 0x16B4AF58
- Base-36: 6ASVA0
Squares and roots of 380940120
- 380940120 squared (3809401202) is 145115375025614400
- 380940120 cubed (3809401203) is 55280268376102552609728000
-
The
square root of 380940120 is 19517.6873630049 -
The
cube root of 380940120 is 724.9124713991
Scales and comparisons
How big is 380940120?- 380,940,120 seconds is equal to 12 years, 5 weeks, 6 days, 42 minutes.
-
To count from 1 to 380,940,120 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 380940120 cubic inches would be around 60.4 feet tall.
Recreational maths with 380940120
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