138442752
138,442,752 is an even composite number composed of five prime numbers multiplied together.
138442752 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of two hundred eighty-eight divisors.
Prime factorization of 138442752:
211 × 32 × 7 × 29 × 37
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 7 × 29 × 37)See below for interesting mathematical facts about the number 138442752 from the Numbermatics database.
Names of 138442752
- Cardinal: 138442752 can be written as One hundred thirty-eight million, four hundred forty-two thousand, seven hundred fifty-two.
Scientific notation
- Scientific notation: 1.38442752 × 108
Factors of 138442752
Divisors of 138442752
- Number of divisors d(n): 288
-
Complete list of divisors:
1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 29 32 36 37 42 48 56 58 63 64 72 74 84 87 96 111 112 116 126 128 144 148 168 174 192 203 222 224 232 252 256 259 261 288 296 333 336 348 384 406 444 448 464 504 512 518 522 576 592 609 666 672 696 768 777 812 888 896 928 1008 1024 1036 1044 1073 1152 1184 1218 1332 1344 1392 1536 1554 1624 1776 1792 1827 1856 2016 2048 2072 2088 2146 2304 2331 2368 2436 2664 2688 2784 3072 3108 3219 3248 3552 3584 3654 3712 4032 4144 4176 4292 4608 4662 4736 4872 5328 5376 5568 6144 6216 6438 6496 7104 7168 7308 7424 7511 8064 8288 8352 8584 9216 9324 9472 9657 9744 10656 10752 11136 12432 12876 12992 14208 14336 14616 14848 15022 16128 16576 16704 17168 18432 18648 18944 19314 19488 21312 21504 22272 22533 24864 25752 25984 28416 29232 29696 30044 32256 33152 33408 34336 37296 37888 38628 38976 42624 43008 44544 45066 49728 51504 51968 56832 58464 59392 60088 64512 66304 66816 67599 68672 74592 75776 77256 77952 85248 89088 90132 99456 103008 103936 113664 116928 120176 129024 132608 133632 135198 137344 149184 154512 155904 170496 178176 180264 198912 206016 207872 227328 233856 240352 265216 267264 270396 274688 298368 309024 311808 340992 360528 397824 412032 415744 467712 480704 530432 534528 540792 549376 596736 618048 623616 681984 721056 795648 824064 935424 961408 1081584 1098752 1193472 1236096 1247232 1442112 1591296 1648128 1870848 1922816 2163168 2197504 2386944 2472192 2884224 3296256 3741696 3845632 4326336 4773888 4944384 5768448 6592512 7691264 8652672 9888768 11536896 15382528 17305344 19777536 23073792 34610688 46147584 69221376 138442752
- Sum of all divisors σ(n): 485503200
- Sum of proper divisors (its aliquot sum) s(n): 347060448
- 138442752 is an abundant number, because the sum of its proper divisors (347060448) is greater than itself. Its abundance is 208617696
Bases of 138442752
- Binary: 10000100000001111000000000002
- Hexadecimal: 0x8407800
- Base-36: 2AFB40
Squares and roots of 138442752
- 138442752 squared (1384427522) is 19166395581333504
- 138442752 cubed (1384427523) is 2653448550200450123563008
-
The
square root of 138442752 is 11766.1698100953 -
The
cube root of 138442752 is 517.3169891271
Scales and comparisons
How big is 138442752?- 138,442,752 seconds is equal to 4 years, 20 weeks, 6 days, 8 hours, 19 minutes, 12 seconds.
-
To count from 1 to 138,442,752 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 138442752 cubic inches would be around 43.1 feet tall.
Recreational maths with 138442752
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