138520800
138,520,800 is an even composite number composed of five prime numbers multiplied together.
138520800 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of four hundred thirty-two divisors.
Prime factorization of 138520800:
25 × 33 × 52 × 112 × 53
(2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 5 × 5 × 11 × 11 × 53)See below for interesting mathematical facts about the number 138520800 from the Numbermatics database.
Names of 138520800
- Cardinal: 138520800 can be written as One hundred thirty-eight million, five hundred twenty thousand, eight hundred.
Scientific notation
- Scientific notation: 1.385208 × 108
Factors of 138520800
Divisors of 138520800
- Number of divisors d(n): 432
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 11 12 15 16 18 20 22 24 25 27 30 32 33 36 40 44 45 48 50 53 54 55 60 66 72 75 80 88 90 96 99 100 106 108 110 120 121 132 135 144 150 159 160 165 176 180 198 200 212 216 220 225 240 242 264 265 270 275 288 297 300 318 330 352 360 363 396 400 424 432 440 450 477 480 484 495 528 530 540 550 583 594 600 605 636 660 675 720 726 792 795 800 825 848 864 880 900 954 968 990 1056 1060 1080 1089 1100 1166 1188 1200 1210 1272 1320 1325 1350 1431 1440 1452 1485 1584 1590 1650 1696 1749 1760 1800 1815 1908 1936 1980 2120 2160 2178 2200 2332 2376 2385 2400 2420 2475 2544 2640 2650 2700 2862 2904 2915 2970 3025 3168 3180 3267 3300 3498 3600 3630 3816 3872 3960 3975 4240 4320 4356 4400 4664 4752 4770 4840 4950 5088 5247 5280 5300 5400 5445 5724 5808 5830 5940 6050 6360 6413 6534 6600 6996 7155 7200 7260 7425 7632 7920 7950 8480 8712 8745 8800 9075 9328 9504 9540 9680 9900 10494 10600 10800 10890 11448 11616 11660 11880 11925 12100 12720 12826 13068 13200 13992 14310 14520 14575 14850 15264 15741 15840 15900 16335 17424 17490 18150 18656 19080 19239 19360 19800 20988 21200 21600 21780 22896 23320 23760 23850 24200 25440 25652 26136 26235 26400 27225 27984 28620 29040 29150 29700 31482 31800 32065 32670 34848 34980 35775 36300 38160 38478 39600 41976 42400 43560 43725 45792 46640 47520 47700 48400 51304 52272 52470 54450 55968 57240 57717 58080 58300 59400 62964 63600 64130 65340 69960 71550 72600 76320 76956 78705 79200 81675 83952 87120 87450 93280 95400 96195 96800 102608 104544 104940 108900 114480 115434 116600 118800 125928 127200 128260 130680 131175 139920 143100 145200 153912 157410 160325 163350 167904 173151 174240 174900 190800 192390 205216 209880 217800 228960 230868 233200 237600 251856 256520 261360 262350 279840 286200 288585 290400 307824 314820 320650 326700 346302 349800 381600 384780 393525 419760 435600 461736 466400 480975 503712 513040 522720 524700 572400 577170 615648 629640 641300 653400 692604 699600 769560 787050 839520 865755 871200 923472 961950 1026080 1049400 1144800 1154340 1259280 1282600 1306800 1385208 1399200 1442925 1539120 1574100 1731510 1846944 1923900 2098800 2308680 2518560 2565200 2613600 2770416 2885850 3078240 3148200 3463020 3847800 4197600 4328775 4617360 5130400 5540832 5771700 6296400 6926040 7695600 8657550 9234720 11543400 12592800 13852080 15391200 17315100 23086800 27704160 34630200 46173600 69260400 138520800
- Sum of all divisors σ(n): 561057840
- Sum of proper divisors (its aliquot sum) s(n): 422537040
- 138520800 is an abundant number, because the sum of its proper divisors (422537040) is greater than itself. Its abundance is 284016240
Bases of 138520800
- Binary: 10000100000110101000111000002
- Hexadecimal: 0x841A8E0
- Base-36: 2AGZC0
Squares and roots of 138520800
- 138520800 squared (1385208002) is 19188012032640000
- 138520800 cubed (1385208003) is 2657938777170918912000000
-
The
square root of 138520800 is 11769.4859700837 -
The
cube root of 138520800 is 517.4141844679
Scales and comparisons
How big is 138520800?- 138,520,800 seconds is equal to 4 years, 21 weeks, 6 hours.
-
To count from 1 to 138,520,800 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 138520800 cubic inches would be around 43.1 feet tall.
Recreational maths with 138520800
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