138354048
138,354,048 is an even composite number composed of five prime numbers multiplied together.
138354048 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of three hundred eighty-four divisors.
Prime factorization of 138354048:
27 × 33 × 72 × 19 × 43
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 7 × 7 × 19 × 43)See below for interesting mathematical facts about the number 138354048 from the Numbermatics database.
Names of 138354048
- Cardinal: 138354048 can be written as One hundred thirty-eight million, three hundred fifty-four thousand and forty-eight.
Scientific notation
- Scientific notation: 1.38354048 × 108
Factors of 138354048
Divisors of 138354048
- Number of divisors d(n): 384
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Complete list of divisors:
1 2 3 4 6 7 8 9 12 14 16 18 19 21 24 27 28 32 36 38 42 43 48 49 54 56 57 63 64 72 76 84 86 96 98 108 112 114 126 128 129 133 144 147 152 168 171 172 189 192 196 216 224 228 252 258 266 288 294 301 304 336 342 344 378 384 387 392 399 432 441 448 456 504 513 516 532 576 588 602 608 672 684 688 756 774 784 798 817 864 882 896 903 912 931 1008 1026 1032 1064 1152 1161 1176 1197 1204 1216 1323 1344 1368 1376 1512 1548 1568 1596 1634 1728 1764 1806 1824 1862 2016 2052 2064 2107 2128 2322 2352 2394 2408 2432 2451 2646 2688 2709 2736 2752 2793 3024 3096 3136 3192 3268 3456 3528 3591 3612 3648 3724 4032 4104 4128 4214 4256 4644 4704 4788 4816 4902 5292 5418 5472 5504 5586 5719 6048 6192 6272 6321 6384 6536 7056 7182 7224 7296 7353 7448 8064 8127 8208 8256 8379 8428 8512 9288 9408 9576 9632 9804 10584 10836 10944 11172 11438 12096 12384 12642 12768 13072 14112 14364 14448 14706 14896 16254 16416 16512 16758 16856 17024 17157 18576 18816 18963 19152 19264 19608 21168 21672 21888 22059 22344 22876 24192 24768 25137 25284 25536 26144 28224 28728 28896 29412 29792 32508 32832 33516 33712 34314 37152 37926 38304 38528 39216 40033 42336 43344 44118 44688 45752 49536 50274 50568 51072 51471 52288 56448 56889 57456 57792 58824 59584 65016 65664 67032 67424 68628 74304 75852 76608 78432 80066 84672 86688 88236 89376 91504 100548 101136 102942 104576 113778 114912 115584 117648 119168 120099 130032 134064 134848 137256 148608 151704 153216 154413 156864 160132 169344 173376 176472 178752 183008 201096 202272 205884 227556 229824 235296 240198 260064 268128 269696 274512 303408 308826 313728 320264 346752 352944 357504 360297 366016 402192 404544 411768 455112 459648 470592 480396 520128 536256 549024 606816 617652 640528 705888 720594 732032 804384 809088 823536 910224 941184 960792 1040256 1072512 1080891 1098048 1213632 1235304 1281056 1411776 1441188 1608768 1647072 1820448 1921584 2161782 2196096 2427264 2470608 2562112 2823552 2882376 3217536 3294144 3640896 3843168 4323564 4941216 5124224 5764752 6588288 7281792 7686336 8647128 9882432 11529504 15372672 17294256 19764864 23059008 34588512 46118016 69177024 138354048
- Sum of all divisors σ(n): 511632000
- Sum of proper divisors (its aliquot sum) s(n): 373277952
- 138354048 is an abundant number, because the sum of its proper divisors (373277952) is greater than itself. Its abundance is 234923904
Bases of 138354048
- Binary: 10000011111100011101100000002
- Hexadecimal: 0x83F1D80
- Base-36: 2ADEO0
Squares and roots of 138354048
- 138354048 squared (1383540482) is 19141842597986304
- 138354048 cubed (1383540483) is 2648351409610241806958592
-
The
square root of 138354048 is 11762.3997551519 -
The
cube root of 138354048 is 517.2064792121
Scales and comparisons
How big is 138354048?- 138,354,048 seconds is equal to 4 years, 20 weeks, 5 days, 7 hours, 40 minutes, 48 seconds.
-
To count from 1 to 138,354,048 would take you about six 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 138354048 cubic inches would be around 43.1 feet tall.
Recreational maths with 138354048
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