138189888
138,189,888 is an even composite number composed of five prime numbers multiplied together.
138189888 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of two hundred eighty divisors.
Prime factorization of 138189888:
26 × 34 × 19 × 23 × 61
(2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 19 × 23 × 61)See below for interesting mathematical facts about the number 138189888 from the Numbermatics database.
Names of 138189888
- Cardinal: 138189888 can be written as One hundred thirty-eight million, one hundred eighty-nine thousand, eight hundred eighty-eight.
Scientific notation
- Scientific notation: 1.38189888 × 108
Factors of 138189888
Divisors of 138189888
- Number of divisors d(n): 280
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Complete list of divisors:
1 2 3 4 6 8 9 12 16 18 19 23 24 27 32 36 38 46 48 54 57 61 64 69 72 76 81 92 96 108 114 122 138 144 152 162 171 183 184 192 207 216 228 244 276 288 304 324 342 366 368 414 432 437 456 488 513 549 552 576 608 621 648 684 732 736 828 864 874 912 976 1026 1098 1104 1159 1216 1242 1296 1311 1368 1403 1464 1472 1539 1647 1656 1728 1748 1824 1863 1952 2052 2196 2208 2318 2484 2592 2622 2736 2806 2928 3078 3294 3312 3477 3496 3648 3726 3904 3933 4104 4209 4392 4416 4636 4941 4968 5184 5244 5472 5612 5856 6156 6588 6624 6954 6992 7452 7866 8208 8418 8784 9272 9882 9936 10431 10488 10944 11224 11712 11799 12312 12627 13176 13248 13908 13984 14904 15732 16416 16836 17568 18544 19764 19872 20862 20976 22448 23598 24624 25254 26352 26657 27816 27968 29808 31293 31464 32832 33672 35136 35397 37088 37881 39528 39744 41724 41952 44896 47196 49248 50508 52704 53314 55632 59616 62586 62928 67344 70794 74176 75762 79056 79971 83448 83904 89792 93879 94392 98496 101016 105408 106628 111264 113643 119232 125172 125856 134688 141588 151524 158112 159942 166896 187758 188784 202032 213256 222528 227286 239913 250344 251712 269376 283176 303048 316224 319884 333792 375516 377568 404064 426512 454572 479826 500688 566352 606096 639768 667584 719739 751032 755136 808128 853024 909144 959652 1001376 1132704 1212192 1279536 1439478 1502064 1706048 1818288 1919304 2002752 2159217 2265408 2424384 2559072 2878956 3004128 3636576 3838608 4318434 5118144 5757912 6008256 7273152 7677216 8636868 11515824 15354432 17273736 23031648 34547472 46063296 69094944 138189888
- Sum of all divisors σ(n): 457321920
- Sum of proper divisors (its aliquot sum) s(n): 319132032
- 138189888 is an abundant number, because the sum of its proper divisors (319132032) is greater than itself. Its abundance is 180942144
Bases of 138189888
- Binary: 10000011110010011100010000002
- Hexadecimal: 0x83C9C40
- Base-36: 2A9W00
Squares and roots of 138189888
- 138189888 squared (1381898882) is 19096445145452544
- 138189888 cubed (1381898883) is 2638935615848230764675072
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The
square root of 138189888 is 11755.4195161211 -
The
cube root of 138189888 is 517.0018394507
Scales and comparisons
How big is 138189888?- 138,189,888 seconds is equal to 4 years, 20 weeks, 3 days, 10 hours, 4 minutes, 48 seconds.
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To count from 1 to 138,189,888 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 138189888 cubic inches would be around 43.1 feet tall.
Recreational maths with 138189888
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