138045600
138,045,600 is an even composite number composed of six prime numbers multiplied together.
138045600 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of five hundred seventy-six divisors.
Prime factorization of 138045600:
25 × 33 × 52 × 7 × 11 × 83
(2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 5 × 5 × 7 × 11 × 83)See below for interesting mathematical facts about the number 138045600 from the Numbermatics database.
Names of 138045600
- Cardinal: 138045600 can be written as One hundred thirty-eight million, forty-five thousand, six hundred.
Scientific notation
- Scientific notation: 1.380456 × 108
Factors of 138045600
Divisors of 138045600
- Number of divisors d(n): 576
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Complete list of divisors:
1 2 3 4 5 6 7 8 9 10 11 12 14 15 16 18 20 21 22 24 25 27 28 30 32 33 35 36 40 42 44 45 48 50 54 55 56 60 63 66 70 72 75 77 80 83 84 88 90 96 99 100 105 108 110 112 120 126 132 135 140 144 150 154 160 165 166 168 175 176 180 189 198 200 210 216 220 224 225 231 240 249 252 264 270 275 280 288 297 300 308 315 330 332 336 350 352 360 378 385 396 400 415 420 432 440 450 462 480 495 498 504 525 528 540 550 560 581 594 600 616 630 660 664 672 675 693 700 720 747 756 770 792 800 825 830 840 864 880 900 913 924 945 990 996 1008 1050 1056 1080 1100 1120 1155 1162 1188 1200 1232 1245 1260 1320 1328 1350 1386 1400 1440 1485 1494 1512 1540 1575 1584 1650 1660 1680 1743 1760 1800 1826 1848 1890 1925 1980 1992 2016 2075 2079 2100 2160 2200 2241 2310 2324 2376 2400 2464 2475 2490 2520 2640 2656 2700 2739 2772 2800 2905 2970 2988 3024 3080 3150 3168 3300 3320 3360 3465 3486 3600 3652 3696 3735 3780 3850 3960 3984 4150 4158 4200 4320 4400 4482 4565 4620 4648 4725 4752 4950 4980 5040 5229 5280 5400 5478 5544 5600 5775 5810 5940 5976 6048 6160 6225 6300 6391 6600 6640 6930 6972 7200 7304 7392 7425 7470 7560 7700 7920 7968 8217 8300 8316 8400 8715 8800 8964 9130 9240 9296 9450 9504 9900 9960 10080 10395 10458 10800 10956 11088 11205 11550 11620 11880 11952 12320 12450 12600 12782 13200 13280 13695 13860 13944 14525 14608 14850 14940 15120 15400 15687 15840 16434 16600 16632 16800 17325 17430 17928 18260 18480 18592 18675 18900 19173 19800 19920 20790 20916 21600 21912 22176 22410 22825 23100 23240 23760 23904 24651 24900 25200 25564 26145 26400 27390 27720 27888 29050 29216 29700 29880 30240 30800 31374 31955 32868 33200 33264 34650 34860 35856 36520 36960 37350 37800 38346 39600 39840 41085 41580 41832 43575 43824 44820 45650 46200 46480 47520 49302 49800 50400 51128 51975 52290 54780 55440 55776 56025 57519 58100 59400 59760 61600 62748 63910 65736 66400 66528 68475 69300 69720 71712 73040 74700 75600 76692 78435 79200 82170 83160 83664 87150 87648 89640 91300 92400 92960 95865 98604 99600 102256 103950 104580 109560 110880 112050 115038 116200 118800 119520 123255 125496 127820 130725 131472 136950 138600 139440 146080 149400 151200 153384 156870 159775 164340 166320 167328 172557 174300 179280 182600 184800 191730 197208 199200 204512 205425 207900 209160 219120 224100 230076 232400 237600 246510 250992 255640 261450 262944 273900 277200 278880 287595 298800 306768 313740 319550 328680 332640 345114 348600 358560 365200 383460 392175 394416 410850 415800 418320 438240 448200 460152 464800 479325 493020 501984 511280 522900 547800 554400 575190 597600 613536 616275 627480 639100 657360 690228 697200 730400 766920 784350 788832 821700 831600 836640 862785 896400 920304 958650 986040 1022560 1045800 1095600 1150380 1232550 1254960 1278200 1314720 1380456 1394400 1437975 1533840 1568700 1643400 1663200 1725570 1792800 1840608 1917300 1972080 2091600 2191200 2300760 2465100 2509920 2556400 2760912 2875950 3067680 3137400 3286800 3451140 3834600 3944160 4183200 4313925 4601520 4930200 5112800 5521824 5751900 6274800 6573600 6902280 7669200 8627850 9203040 9860400 11503800 12549600 13804560 15338400 17255700 19720800 23007600 27609120 34511400 46015200 69022800 138045600
- Sum of all divisors σ(n): 629959680
- Sum of proper divisors (its aliquot sum) s(n): 491914080
- 138045600 is an abundant number, because the sum of its proper divisors (491914080) is greater than itself. Its abundance is 353868480
Bases of 138045600
- Binary: 10000011101001101000101000002
- Hexadecimal: 0x83A68A0
- Base-36: 2A6SO0
Squares and roots of 138045600
- 138045600 squared (1380456002) is 19056587679360000
- 138045600 cubed (1380456003) is 2630678080149858816000000
-
The
square root of 138045600 is 11749.2808290551 -
The
cube root of 138045600 is 516.8218380035
Scales and comparisons
How big is 138045600?- 138,045,600 seconds is equal to 4 years, 20 weeks, 1 day, 18 hours.
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To count from 1 to 138,045,600 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 138045600 cubic inches would be around 43.1 feet tall.
Recreational maths with 138045600
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