138368048000
138,368,048,000 is an even composite number composed of six prime numbers multiplied together.
138368048000 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of seven hundred sixty-eight divisors.
Prime factorization of 138368048000:
27 × 53 × 7 × 13 × 292 × 113
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 5 × 7 × 13 × 29 × 29 × 113)See below for interesting mathematical facts about the number 138368048000 from the Numbermatics database.
Names of 138368048000
- Cardinal: 138368048000 can be written as One hundred thirty-eight billion, three hundred sixty-eight million, forty-eight thousand.
Scientific notation
- Scientific notation: 1.38368048 × 1011
Factors of 138368048000
Divisors of 138368048000
- Number of divisors d(n): 768
-
Complete list of divisors:
1 2 4 5 7 8 10 13 14 16 20 25 26 28 29 32 35 40 50 52 56 58 64 65 70 80 91 100 104 112 113 116 125 128 130 140 145 160 175 182 200 203 208 224 226 232 250 260 280 290 320 325 350 364 377 400 406 416 448 452 455 464 500 520 560 565 580 640 650 700 725 728 754 791 800 812 832 841 875 896 904 910 928 1000 1015 1040 1120 1130 1160 1300 1400 1450 1456 1469 1508 1582 1600 1624 1625 1664 1682 1750 1808 1820 1856 1885 2000 2030 2080 2240 2260 2275 2320 2600 2639 2800 2825 2900 2912 2938 3016 3164 3200 3248 3250 3277 3364 3500 3616 3625 3640 3712 3770 3955 4000 4060 4160 4205 4480 4520 4550 4640 5075 5200 5278 5600 5650 5800 5824 5876 5887 6032 6328 6496 6500 6554 6728 7000 7232 7250 7280 7345 7540 7910 8000 8120 8320 8410 9040 9100 9280 9425 10150 10283 10400 10556 10933 11200 11300 11375 11600 11648 11752 11774 12064 12656 12992 13000 13108 13195 13456 14000 14125 14464 14500 14560 14690 15080 15820 16000 16240 16385 16820 18080 18200 18560 18850 19775 20300 20566 20800 21025 21112 21866 22400 22600 22750 22939 23200 23504 23548 24128 25312 25375 25984 26000 26216 26390 26912 28000 28250 29000 29120 29380 29435 30160 31640 32480 32770 33640 36160 36400 36725 37700 39550 40600 41132 41600 42050 42224 42601 43732 45200 45500 45878 46400 47008 47096 47125 48256 50624 50750 51415 52000 52432 52780 53824 54665 56000 56500 58000 58240 58760 58870 60320 63280 64960 65540 65975 67280 72320 72800 73450 75400 76531 79100 81200 81925 82264 84100 84448 85202 87464 90400 91000 91756 92800 94016 94192 94250 95033 98875 101248 101500 102830 104000 104864 105125 105560 107648 109330 112000 113000 114695 116000 117520 117740 120640 126560 129920 131080 131950 134560 145600 146900 147175 150800 153062 158200 162400 163850 164528 168200 168896 170404 174928 180800 182000 183512 183625 188032 188384 188500 190066 197750 203000 205660 208000 209728 210250 211120 213005 218660 226000 229390 232000 235040 235480 241280 253120 257075 262160 263900 269120 273325 291200 293800 294350 298207 301600 306124 316400 324800 327700 329056 329875 336400 337792 340808 349856 361600 364000 367024 367250 376768 377000 380132 382655 395500 406000 409625 411320 419456 420500 422240 426010 437320 452000 458780 464000 470080 470960 475165 506240 514150 524320 527800 538240 546650 573475 587600 588700 596414 603200 612248 632800 649600 655400 658112 659750 665231 672800 681616 699712 728000 734048 734500 735875 753536 754000 760264 765310 791000 812000 819250 822640 841000 844480 852020 874640 904000 917560 940160 941920 950330 1028300 1048640 1055600 1065025 1093300 1146950 1175200 1177400 1192828 1206400 1224496 1235429 1265600 1285375 1310800 1316224 1319500 1330462 1345600 1363232 1366625 1399424 1456000 1468096 1469000 1471750 1491035 1508000 1520528 1530620 1582000 1624000 1638500 1645280 1682000 1688960 1704040 1749280 1808000 1835120 1883840 1900660 1913275 2056600 2097280 2111200 2130050 2186600 2293900 2350400 2354800 2375825 2385656 2448992 2470858 2531200 2570750 2621600 2639000 2660924 2691200 2726464 2733250 2867375 2936192 2938000 2943500 2982070 3016000 3041056 3061240 3164000 3248000 3277000 3290560 3326155 3364000 3408080 3498560 3670240 3767680 3801320 3826550 4113200 4222400 4260100 4373200 4587800 4700800 4709600 4751650 4771312 4897984 4941716 5141500 5243200 5278000 5321848 5325125 5452928 5466500 5734750 5876000 5887000 5964140 6032000 6082112 6122480 6177145 6328000 6554000 6581120 6652310 6728000 6816160 6997120 7340480 7455175 7602640 7653100 8226400 8444800 8520200 8648003 8746400 9175600 9419200 9503300 9542624 9566375 9795968 9883432 10283000 10486400 10556000 10643696 10650250 10933000 11469500 11752000 11774000 11879125 11928280 12164224 12244960 12354290 12656000 13108000 13304620 13456000 13632320 14680960 14910350 15205280 15306200 16452800 16630775 17040400 17296006 17492800 18351200 18838400 19006600 19085248 19132750 19766864 20566000 21112000 21287392 21300500 21866000 22939000 23504000 23548000 23758250 23856560 24489920 24708580 26216000 26609240 27264640 29820700 30410560 30612400 30885725 32905600 33261550 34080800 34592012 34985600 36702400 37275875 38013200 38170496 38265500 39533728 41132000 42224000 42574784 42601000 43240015 43732000 45878000 47096000 47516500 47713120 48979840 49417160 52432000 53218480 59641400 60821120 61224800 61771450 66523100 68161600 69184024 73404800 74551750 76026400 76531000 79067456 82264000 83153875 85149568 85202000 86480030 87464000 91756000 94192000 95033000 95426240 98834320 106436960 119282800 122449600 123542900 133046200 136323200 138368048 149103500 152052800 153062000 154428625 158134912 164528000 166307750 170404000 172960060 174928000 183512000 190066000 190852480 197668640 212873920 216200075 238565600 244899200 247085800 266092400 276736096 298207000 304105600 306124000 308857250 332615500 340808000 345920120 367024000 380132000 395337280 425747840 432400150 477131200 494171600 532184800 553472192 596414000 612248000 617714500 665231000 681616000 691840240 760264000 790674560 864800300 954262400 988343200 1064369600 1081000375 1106944384 1192828000 1224496000 1235429000 1330462000 1383680480 1520528000 1729600600 1976686400 2128739200 2162000750 2385656000 2470858000 2660924000 2767360960 3459201200 3953372800 4324001500 4771312000 4941716000 5321848000 5534721920 6918402400 8648003000 9883432000 10643696000 13836804800 17296006000 19766864000 27673609600 34592012000 69184024000 138368048000
- Sum of all divisors σ(n): 442390515840
- Sum of proper divisors (its aliquot sum) s(n): 304022467840
- 138368048000 is an abundant number, because the sum of its proper divisors (304022467840) is greater than itself. Its abundance is 165654419840
Bases of 138368048000
- Binary: 100000001101110110000011011011100000002
- Hexadecimal: 0x203760DB80
- Base-36: 1RKCRH4W
Squares and roots of 138368048000
- 138368048000 squared (1383680480002) is 19145716707330304000000
- 138368048000 cubed (1383680480003) is 2649155448354281455726592000000000
-
The
square root of 138368048000 is 371978.5585218589 -
The
cube root of 138368048000 is 5172.2392394079
Scales and comparisons
How big is 138368048000?- 138,368,048,000 seconds is equal to 4,399 years, 35 weeks, 1 day, 53 minutes, 20 seconds.
-
To count from 1 to 138,368,048,000 would take you about eight thousand, seven hundred ninety-nine 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 138368048000 cubic inches would be around 431 feet tall.
Recreational maths with 138368048000
- 138368048000 backwards is 000840863831
- The number of decimal digits it has is: 12
- The sum of 138368048000's digits is 41
- More coming soon!
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The information we have on file for 138368048000 includes mathematical data and numerical statistics calculated using standard algorithms and methods. We are adding more all the time. If there are any features you would like to see, please contact us. Information provided for educational use, intellectual curiosity and fun!
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