138700800
138,700,800 is an even composite number composed of five prime numbers multiplied together.
138700800 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 138700800:
211 × 32 × 52 × 7 × 43
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 5 × 7 × 43)See below for interesting mathematical facts about the number 138700800 from the Numbermatics database.
Names of 138700800
- Cardinal: 138700800 can be written as One hundred thirty-eight million, seven hundred thousand, eight hundred.
Scientific notation
- Scientific notation: 1.387008 × 108
Factors of 138700800
Divisors of 138700800
- Number of divisors d(n): 432
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Complete list of divisors:
1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 20 21 24 25 28 30 32 35 36 40 42 43 45 48 50 56 60 63 64 70 72 75 80 84 86 90 96 100 105 112 120 126 128 129 140 144 150 160 168 172 175 180 192 200 210 215 224 225 240 252 256 258 280 288 300 301 315 320 336 344 350 360 384 387 400 420 430 448 450 480 504 512 516 525 560 576 600 602 630 640 645 672 688 700 720 768 774 800 840 860 896 900 903 960 1008 1024 1032 1050 1075 1120 1152 1200 1204 1260 1280 1290 1344 1376 1400 1440 1505 1536 1548 1575 1600 1680 1720 1792 1800 1806 1920 1935 2016 2048 2064 2100 2150 2240 2304 2400 2408 2520 2560 2580 2688 2709 2752 2800 2880 3010 3072 3096 3150 3200 3225 3360 3440 3584 3600 3612 3840 3870 4032 4128 4200 4300 4480 4515 4608 4800 4816 5040 5120 5160 5376 5418 5504 5600 5760 6020 6144 6192 6300 6400 6450 6720 6880 7168 7200 7224 7525 7680 7740 8064 8256 8400 8600 8960 9030 9216 9600 9632 9675 10080 10240 10320 10752 10836 11008 11200 11520 12040 12384 12600 12800 12900 13440 13545 13760 14336 14400 14448 15050 15360 15480 16128 16512 16800 17200 17920 18060 18432 19200 19264 19350 20160 20640 21504 21672 22016 22400 22575 23040 24080 24768 25200 25600 25800 26880 27090 27520 28800 28896 30100 30720 30960 32256 33024 33600 34400 35840 36120 38400 38528 38700 40320 41280 43008 43344 44032 44800 45150 46080 48160 49536 50400 51200 51600 53760 54180 55040 57600 57792 60200 61920 64512 66048 67200 67725 68800 71680 72240 76800 77056 77400 80640 82560 86688 88064 89600 90300 92160 96320 99072 100800 103200 107520 108360 110080 115200 115584 120400 123840 129024 132096 134400 135450 137600 144480 153600 154112 154800 161280 165120 173376 179200 180600 192640 198144 201600 206400 215040 216720 220160 230400 231168 240800 247680 264192 268800 270900 275200 288960 308224 309600 322560 330240 346752 358400 361200 385280 396288 403200 412800 433440 440320 460800 462336 481600 495360 537600 541800 550400 577920 616448 619200 645120 660480 693504 722400 770560 792576 806400 825600 866880 924672 963200 990720 1075200 1083600 1100800 1155840 1238400 1320960 1387008 1444800 1541120 1612800 1651200 1733760 1849344 1926400 1981440 2167200 2201600 2311680 2476800 2774016 2889600 3082240 3225600 3302400 3467520 3852800 3962880 4334400 4623360 4953600 5548032 5779200 6604800 6935040 7705600 8668800 9246720 9907200 11558400 13870080 15411200 17337600 19814400 23116800 27740160 34675200 46233600 69350400 138700800
- Sum of all divisors σ(n): 580900320
- Sum of proper divisors (its aliquot sum) s(n): 442199520
- 138700800 is an abundant number, because the sum of its proper divisors (442199520) is greater than itself. Its abundance is 303498720
Bases of 138700800
- Binary: 10000100010001101000000000002
- Hexadecimal: 0x8446800
- Base-36: 2AKU80
Squares and roots of 138700800
- 138700800 squared (1387008002) is 19237911920640000
- 138700800 cubed (1387008003) is 2668313773722304512000000
-
The
square root of 138700800 is 11777.1303805299 -
The
cube root of 138700800 is 517.6382043535
Scales and comparisons
How big is 138700800?- 138,700,800 seconds is equal to 4 years, 21 weeks, 2 days, 8 hours.
-
To count from 1 to 138,700,800 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 138700800 cubic inches would be around 43.1 feet tall.
Recreational maths with 138700800
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