138532800
138,532,800 is an even composite number composed of six prime numbers multiplied together.
138532800 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of five hundred four divisors.
Prime factorization of 138532800:
26 × 3 × 52 × 72 × 19 × 31
(2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 7 × 7 × 19 × 31)See below for interesting mathematical facts about the number 138532800 from the Numbermatics database.
Names of 138532800
- Cardinal: 138532800 can be written as One hundred thirty-eight million, five hundred thirty-two thousand, eight hundred.
Scientific notation
- Scientific notation: 1.385328 × 108
Factors of 138532800
Divisors of 138532800
- Number of divisors d(n): 504
-
Complete list of divisors:
1 2 3 4 5 6 7 8 10 12 14 15 16 19 20 21 24 25 28 30 31 32 35 38 40 42 48 49 50 56 57 60 62 64 70 75 76 80 84 93 95 96 98 100 105 112 114 120 124 133 140 147 150 152 155 160 168 175 186 190 192 196 200 210 217 224 228 240 245 248 266 280 285 294 300 304 310 320 336 350 372 380 392 399 400 420 434 448 456 465 475 480 490 496 525 532 560 570 588 589 600 608 620 651 665 672 700 735 744 760 775 784 798 800 840 868 912 930 931 950 960 980 992 1050 1064 1085 1120 1140 1176 1178 1200 1216 1225 1240 1302 1330 1344 1400 1425 1470 1488 1519 1520 1550 1568 1596 1600 1680 1736 1767 1824 1860 1862 1900 1960 1984 1995 2100 2128 2170 2240 2280 2325 2352 2356 2400 2450 2480 2604 2660 2793 2800 2850 2940 2945 2976 3038 3040 3100 3136 3192 3255 3325 3360 3472 3534 3648 3675 3720 3724 3800 3920 3990 4123 4200 4256 4340 4557 4560 4650 4655 4704 4712 4800 4900 4960 5208 5320 5425 5586 5600 5700 5880 5890 5952 6076 6080 6200 6384 6510 6650 6720 6944 7068 7350 7440 7448 7595 7600 7840 7980 8246 8400 8512 8680 8835 9114 9120 9300 9310 9408 9424 9800 9920 9975 10416 10640 10850 11172 11200 11400 11760 11780 12152 12369 12400 12768 13020 13300 13888 13965 14136 14700 14725 14880 14896 15190 15200 15680 15960 16275 16492 16800 17360 17670 18228 18240 18600 18620 18848 19600 19950 20615 20832 21280 21700 22344 22785 22800 23275 23520 23560 24304 24738 24800 25536 26040 26600 27930 28272 28861 29400 29450 29760 29792 30380 30400 31920 32550 32984 33600 34720 35340 36456 37200 37240 37696 37975 39200 39900 41230 41664 42560 43400 44175 44688 45570 45600 46550 47040 47120 48608 49476 49600 52080 53200 55860 56544 57722 58800 58900 59584 60760 61845 63840 65100 65968 69440 69825 70680 72912 74400 74480 75950 78400 79800 82460 86583 86800 88350 89376 91140 91200 93100 94240 97216 98952 103075 104160 106400 111720 113088 113925 115444 117600 117800 121520 123690 127680 130200 131936 139650 141360 144305 145824 148800 148960 151900 159600 164920 173166 173600 176700 178752 182280 186200 188480 197904 206150 208320 212800 223440 227850 230888 235200 235600 243040 247380 260400 263872 279300 282720 288610 291648 297920 303800 309225 319200 329840 346332 347200 353400 364560 372400 395808 412300 432915 446880 455700 461776 471200 486080 494760 520800 558600 565440 577220 607600 618450 638400 659680 692664 706800 721525 729120 744800 791616 824600 865830 893760 911400 923552 942400 989520 1041600 1117200 1154440 1215200 1236900 1319360 1385328 1413600 1443050 1458240 1489600 1649200 1731660 1822800 1847104 1979040 2164575 2234400 2308880 2430400 2473800 2770656 2827200 2886100 3298400 3463320 3645600 3958080 4329150 4468800 4617760 4947600 5541312 5772200 6596800 6926640 7291200 8658300 9235520 9895200 11544400 13853280 17316600 19790400 23088800 27706560 34633200 46177600 69266400 138532800
- Sum of all divisors σ(n): 574487040
- Sum of proper divisors (its aliquot sum) s(n): 435954240
- 138532800 is an abundant number, because the sum of its proper divisors (435954240) is greater than itself. Its abundance is 297421440
Bases of 138532800
- Binary: 10000100000111010111110000002
- Hexadecimal: 0x841D7C0
- Base-36: 2AH8LC
Squares and roots of 138532800
- 138532800 squared (1385328002) is 19191336675840000
- 138532800 cubed (1385328003) is 2658629605446807552000000
-
The
square root of 138532800 is 11769.9957519109 -
The
cube root of 138532800 is 517.4291251627
Scales and comparisons
How big is 138532800?- 138,532,800 seconds is equal to 4 years, 21 weeks, 9 hours, 20 minutes.
-
To count from 1 to 138,532,800 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 138532800 cubic inches would be around 43.1 feet tall.
Recreational maths with 138532800
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