4138113120
4,138,113,120 is an even composite number composed of seven prime numbers multiplied together.
4138113120 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 4138113120:
25 × 3 × 5 × 31 × 47 × 61 × 97
(2 × 2 × 2 × 2 × 2 × 3 × 5 × 31 × 47 × 61 × 97)See below for interesting mathematical facts about the number 4138113120 from the Numbermatics database.
Names of 4138113120
- Cardinal: 4138113120 can be written as Four billion, one hundred thirty-eight million, one hundred thirteen thousand, one hundred twenty.
Scientific notation
- Scientific notation: 4.13811312 × 109
Factors of 4138113120
Divisors of 4138113120
- Number of divisors d(n): 384
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Complete list of divisors:
1 2 3 4 5 6 8 10 12 15 16 20 24 30 31 32 40 47 48 60 61 62 80 93 94 96 97 120 122 124 141 155 160 183 186 188 194 235 240 244 248 282 291 305 310 366 372 376 388 465 470 480 485 488 496 564 582 610 620 705 732 744 752 776 915 930 940 970 976 992 1128 1164 1220 1240 1410 1455 1457 1464 1488 1504 1552 1830 1860 1880 1891 1940 1952 2256 2328 2440 2480 2820 2867 2910 2914 2928 2976 3007 3104 3660 3720 3760 3782 3880 4371 4512 4559 4656 4880 4960 5640 5673 5734 5820 5828 5856 5917 6014 7285 7320 7440 7520 7564 7760 8601 8742 9021 9118 9312 9455 9760 11280 11346 11468 11640 11656 11834 12028 13677 14335 14570 14640 14880 15035 15128 15520 17202 17484 17751 18042 18236 18910 21855 22560 22692 22795 22936 23280 23312 23668 24056 27354 28365 28670 29140 29280 29585 30070 30256 34404 34968 35502 36084 36472 37820 43005 43710 45105 45384 45590 45872 46560 46624 47336 48112 54708 56730 57340 58280 59170 60140 60512 68385 68808 69936 71004 72168 72944 75640 86010 87420 88755 88877 90210 90768 91180 91744 94672 96224 109416 113460 114680 116560 118340 120280 136770 137616 139872 141329 142008 144336 145888 151280 172020 174840 177510 177754 180420 181536 182360 183427 189344 218832 226920 229360 233120 236680 240560 266631 273540 275232 278099 282658 284016 288672 302560 344040 349680 355020 355508 360840 364720 366854 423987 437664 444385 453840 458720 473360 481120 533262 547080 550281 556198 565316 568032 688080 699360 706645 710040 711016 721680 729440 733708 834297 847974 888770 907680 917135 946720 1066524 1094160 1100562 1112396 1130632 1333155 1376160 1390495 1413290 1420080 1422032 1443360 1467416 1668594 1695948 1777540 1834270 2119935 2133048 2188320 2201124 2224792 2261264 2666310 2751405 2780990 2826580 2840160 2844064 2934832 3337188 3391896 3555080 3668540 4171485 4239870 4266096 4402248 4449584 4522528 5332620 5502810 5561980 5653160 5869664 6674376 6783792 7110160 7337080 8342970 8479740 8532192 8621069 8804496 8899168 10665240 11005620 11123960 11306320 13348752 13567584 14220320 14674160 16685940 16959480 17242138 17608992 21330480 22011240 22247920 22612640 25863207 26697504 29348320 33371880 33918960 34484276 42660960 43105345 44022480 44495840 51726414 66743760 67837920 68968552 86210690 88044960 103452828 129316035 133487520 137937104 172421380 206905656 258632070 275874208 344842760 413811312 517264140 689685520 827622624 1034528280 1379371040 2069056560 4138113120
- Sum of all divisors σ(n): 14111096832
- Sum of proper divisors (its aliquot sum) s(n): 9972983712
- 4138113120 is an abundant number, because the sum of its proper divisors (9972983712) is greater than itself. Its abundance is 5834870592
Bases of 4138113120
- Binary: 111101101010011010011000011000002
- Hexadecimal: 0xF6A69860
- Base-36: 1WFQ4IO
Squares and roots of 4138113120
- 4138113120 squared (41381131202) is 17123980193916134400
- 4138113120 cubed (41381131203) is 70860967107064499940323328000
-
The
square root of 4138113120 is 64328.1673918977 -
The
cube root of 4138113120 is 1605.4647929405
Scales and comparisons
How big is 4138113120?- 4,138,113,120 seconds is equal to 131 years, 30 weeks, 19 hours, 52 minutes.
-
To count from 1 to 4,138,113,120 would take you about two hundred sixty-three 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 4138113120 cubic inches would be around 133.8 feet tall.
Recreational maths with 4138113120
- 4138113120 backwards is 0213118314
- 4138113120 is a
Harshad number . - The number of decimal digits it has is: 10
- The sum of 4138113120's digits is 24
- More coming soon!
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