138949106688000
138,949,106,688,000 is an even composite number composed of eight prime numbers multiplied together.
138949106688000 is an even composite number. It is composed of eight distinct prime numbers multiplied together. It has a total of five thousand, three hundred seventy-six divisors.
Prime factorization of 138949106688000:
213 × 32 × 53 × 7 × 17 × 31 × 61 × 67
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 5 × 5 × 7 × 17 × 31 × 61 × 67)See below for interesting mathematical facts about the number 138949106688000 from the Numbermatics database.
Names of 138949106688000
- Cardinal: 138949106688000 can be written as One hundred thirty-eight trillion, nine hundred forty-nine billion, one hundred six million, six hundred eighty-eight thousand.
Scientific notation
- Scientific notation: 1.38949106688 × 1014
Factors of 138949106688000
Divisors of 138949106688000
- Number of divisors d(n): 5376
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Complete list of divisors:
1 2 3 4 5 6 7 8 9 10 12 14 15 16 17 18 20 21 24 25 28 30 31 32 34 35 36 40 42 45 48 50 51 56 60 61 62 63 64 67 68 70 72 75 80 84 85 90 93 96 100 102 105 112 119 120 122 124 125 126 128 134 136 140 144 150 153 155 160 168 170 175 180 183 186 192 200 201 204 210 217 224 225 238 240 244 248 250 252 255 256 268 272 279 280 288 300 305 306 310 315 320 335 336 340 350 357 360 366 372 375 384 400 402 408 420 425 427 434 448 450 465 469 476 480 488 496 500 504 510 512 525 527 536 544 549 558 560 576 595 600 603 610 612 620 630 640 651 670 672 680 700 714 720 732 744 750 765 768 775 800 804 816 840 850 854 868 875 896 900 915 930 938 952 960 976 992 1000 1005 1008 1020 1024 1037 1050 1054 1071 1072 1085 1088 1098 1116 1120 1125 1139 1152 1190 1200 1206 1220 1224 1240 1260 1275 1280 1281 1302 1340 1344 1360 1395 1400 1407 1428 1440 1464 1488 1500 1525 1530 1536 1550 1575 1581 1600 1608 1632 1675 1680 1700 1708 1736 1750 1785 1792 1800 1830 1860 1876 1891 1904 1920 1952 1953 1984 2000 2010 2016 2040 2048 2074 2077 2100 2108 2125 2135 2142 2144 2170 2176 2196 2232 2240 2250 2278 2304 2325 2345 2380 2400 2412 2440 2448 2480 2520 2550 2560 2562 2604 2625 2635 2680 2688 2720 2745 2790 2800 2814 2856 2880 2928 2975 2976 3000 3015 3050 3060 3072 3100 3111 3150 3162 3200 3216 3255 3264 3350 3360 3400 3416 3417 3472 3500 3570 3584 3600 3660 3689 3720 3752 3782 3808 3825 3840 3843 3875 3904 3906 3968 4000 4020 4032 4080 4087 4096 4148 4154 4200 4216 4221 4250 4270 4284 4288 4340 4352 4392 4464 4480 4500 4556 4575 4608 4650 4690 4743 4760 4800 4824 4880 4896 4960 5025 5040 5100 5120 5124 5185 5208 5250 5270 5355 5360 5376 5425 5440 5490 5580 5600 5628 5673 5695 5712 5760 5856 5950 5952 6000 6030 6100 6120 6144 6200 6222 6231 6300 6324 6375 6400 6405 6432 6510 6528 6700 6720 6800 6832 6834 6944 6975 7000 7035 7140 7168 7200 7259 7320 7378 7440 7504 7564 7616 7625 7650 7680 7686 7750 7808 7812 7875 7905 7936 7973 8000 8040 8064 8160 8174 8192 8296 8308 8375 8400 8432 8442 8500 8540 8568 8576 8680 8704 8784 8925 8928 8960 9000 9112 9150 9216 9300 9333 9380 9455 9486 9520 9600 9648 9760 9765 9792 9920 10050 10080 10200 10240 10248 10251 10370 10385 10416 10500 10540 10675 10710 10720 10752 10850 10880 10980 11067 11160 11200 11256 11346 11390 11424 11520 11625 11712 11725 11900 11904 12000 12060 12200 12240 12261 12288 12400 12444 12462 12600 12648 12750 12800 12810 12864 13020 13056 13175 13237 13400 13440 13600 13664 13668 13725 13888 13950 14000 14070 14280 14336 14400 14518 14539 14640 14756 14875 14880 15008 15075 15128 15232 15250 15300 15360 15372 15500 15555 15616 15624 15750 15810 15872 15946 16000 16080 16128 16275 16320 16348 16592 16616 16750 16800 16864 16884 17000 17019 17080 17085 17136 17152 17360 17408 17568 17850 17856 17920 18000 18224 18300 18432 18445 18600 18666 18693 18760 18910 18972 19040 19125 19200 19215 19296 19520 19530 19584 19840 20100 20160 20400 20435 20480 20496 20502 20740 20770 20832 21000 21080 21105 21350 21420 21440 21504 21700 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661662412800 681123072000 691289088000 694745533440 723693264000 747038208000 759284736000 771939481600 793994895360 817347686400 827078016000 868431916800 896445849600 908164096000 926327377920 964924352000 992493619200 1021684608000 1036933632000 1085539896000 1102770688000 1111592853504 1120557312000 1138927104000 1157909222400 1167639552000 1240617024000 1323324825600 1362246144000 1389491066880 1447386528000 1494076416000 1543878963200 1634695372800 1654156032000 1736863833600 1852654755840 1929848704000 1984987238400 2043369216000 2073867264000 2171079792000 2205541376000 2241114624000 2277854208000 2315818444800 2481234048000 2724492288000 2778982133760 2894773056000 3087757926400 3308312064000 3473727667200 3859697408000 3969974476800 4086738432000 4342159584000 4482229248000 4631636889600 4962468096000 5557964267520 5789546112000 6616624128000 6947455334400 7719394816000 8173476864000 8684319168000 9263273779200 9924936192000 11579092224000 13894910668800 15438789632000 17368638336000 19849872384000 23158184448000 27789821337600 34737276672000 46316368896000 69474553344000 138949106688000
- Sum of all divisors σ(n): 645467610857472
- Sum of proper divisors (its aliquot sum) s(n): 506518504169472
- 138949106688000 is an abundant number, because the sum of its proper divisors (506518504169472) is greater than itself. Its abundance is 367569397481472
Bases of 138949106688000
- Binary: 111111001011111100111000010010101100000000000002
- Hexadecimal: 0x7E5F9C256000
- Base-36: 1D94C6K8W0
Squares and roots of 138949106688000
- 138949106688000 squared (1389491066880002) is 19306854249393206329344000000
- 138949106688000 cubed (1389491066880003) is 2682670150908602785518416321052672000000000
-
The
square root of 138949106688000 is 11787667.5677591111 -
The
cube root of 138949106688000 is 51794.6917792683
Scales and comparisons
How big is 138949106688000?- 138,949,106,688,000 seconds is equal to 4,418,151 years, 41 weeks, 2 days, 8 hours.
-
To count from 1 to 138,949,106,688,000 would take you about eleven million, forty-five thousand, three hundred seventy-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 138949106688000 cubic inches would be around 4316.2 feet tall.
Recreational maths with 138949106688000
- 138949106688000 backwards is 000886601949831
- 138949106688000 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 138949106688000's digits is 63
- More coming soon!
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"Number 138949106688000 - Facts about the integer". Numbermatics.com. 2024. Web. 8 June 2024.
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Numbermatics. (2024). Number 138949106688000 - Facts about the integer. Retrieved 8 June 2024, from https://numbermatics.com/n/138949106688000/
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The information we have on file for 138949106688000 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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