138735733500000
138,735,733,500,000 is an even composite number composed of seven prime numbers multiplied together.
What does the number 138735733500000 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 6048 divisors.
138735733500000 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of six thousand and forty-eight divisors.
Prime factorization of 138735733500000:
25 × 33 × 56 × 72 × 132 × 17 × 73
(2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 5 × 5 × 5 × 5 × 5 × 5 × 7 × 7 × 13 × 13 × 17 × 73)See below for interesting mathematical facts about the number 138735733500000 from the Numbermatics database.
Names of 138735733500000
- Cardinal: 138735733500000 can be written as One hundred thirty-eight trillion, seven hundred thirty-five billion, seven hundred thirty-three million, five hundred thousand.
Scientific notation
- Scientific notation: 1.387357335 × 1014
Factors of 138735733500000
Divisors of 138735733500000
- Number of divisors d(n): 6048
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Complete list of divisors:
1 2 3 4 5 6 7 8 9 10 12 13 14 15 16 17 18 20 21 24 25 26 27 28 30 32 34 35 36 39 40 42 45 48 49 50 51 52 54 56 60 63 65 68 70 72 73 75 78 80 84 85 90 91 96 98 100 102 104 105 108 112 117 119 120 125 126 130 135 136 140 144 146 147 150 153 156 160 168 169 170 175 180 182 189 195 196 200 204 208 210 216 219 221 224 225 234 238 240 245 250 252 255 260 270 272 273 280 288 292 294 300 306 312 315 325 336 338 340 350 351 357 360 364 365 375 378 390 392 400 408 416 420 425 432 438 441 442 450 455 459 468 476 480 490 500 504 507 510 511 520 525 540 544 546 560 584 585 588 595 600 612 624 625 630 637 650 657 663 672 675 676 680 700 702 714 720 728 730 735 750 756 765 780 784 800 816 819 833 840 845 850 864 875 876 882 884 900 910 918 936 945 949 952 975 980 1000 1008 1014 1020 1022 1040 1050 1071 1080 1092 1095 1105 1120 1125 1168 1170 1176 1183 1190 1200 1224 1225 1241 1248 1250 1260 1274 1275 1300 1314 1323 1326 1350 1352 1360 1365 1400 1404 1428 1440 1456 1460 1470 1500 1512 1521 1530 1533 1547 1560 1568 1575 1625 1632 1638 1666 1680 1690 1700 1750 1752 1755 1764 1768 1785 1800 1820 1825 1836 1872 1875 1890 1898 1904 1911 1950 1960 1971 1989 2000 2016 2028 2040 2044 2080 2100 2125 2142 2160 2184 2190 2205 2210 2250 2275 2295 2336 2340 2352 2366 2380 2400 2448 2450 2457 2482 2499 2500 2520 2535 2548 2550 2555 2600 2625 2628 2646 2652 2700 2704 2720 2730 2800 2808 2847 2856 2873 2912 2920 2925 2940 2975 3000 3024 3042 3060 3066 3094 3120 3125 3150 3185 3213 3250 3276 3285 3315 3332 3360 3375 3380 3400 3500 3504 3510 3528 3536 3549 3570 3577 3600 3640 3650 3672 3675 3723 3744 3750 3780 3796 3808 3822 3825 3900 3920 3942 3978 4000 4056 4080 4088 4095 4165 4200 4225 4250 4284 4320 4368 4375 4380 4410 4420 4500 4550 4563 4590 4599 4641 4680 4704 4725 4732 4745 4760 4875 4896 4900 4914 4964 4998 5000 5040 5070 5096 5100 5110 5200 5250 5256 5292 5304 5355 5400 5408 5460 5475 5525 5600 5616 5625 5694 5712 5733 5746 5840 5850 5880 5915 5950 5967 6000 6048 6084 6120 6125 6132 6188 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- Sum of all divisors σ(n): 683841087347040
- Sum of proper divisors (its aliquot sum) s(n): 545105353847040
- 138735733500000 is an abundant number, because the sum of its proper divisors (545105353847040) is greater than itself. Its abundance is 406369620347040
Bases of 138735733500000
- Binary: 111111000101101111011100001110011101000011000002
- Hexadecimal: 0x7E2DEE1CE860
- Base-36: 1D6EBDOBC0
Squares and roots of 138735733500000
- 138735733500000 squared (1387357335000002) is 19247603749783022250000000000
- 138735733500000 cubed (1387357335000003) is 2670330424343498057700570375000000000000000
-
The
square root of 138735733500000 is 11778613.3946233249 -
The
cube root of 138735733500000 is 51768.1658551995
Scales and comparisons
How big is 138735733500000?- 138,735,733,500,000 seconds is equal to 4,411,367 years, 9 weeks, 5 days, 6 hours.
-
To count from 1 to 138,735,733,500,000 would take you about eleven million, twenty-eight thousand, four hundred seventeen 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 138735733500000 cubic inches would be around 4314 feet tall.
Recreational maths with 138735733500000
- 138735733500000 backwards is 000005337537831
- 138735733500000 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 138735733500000's digits is 45
- More coming soon!
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"Number 138735733500000 - Facts about the integer". Numbermatics.com. 2024. Web. 26 May 2024.
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Numbermatics. (2024). Number 138735733500000 - Facts about the integer. Retrieved 26 May 2024, from https://numbermatics.com/n/138735733500000/
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The information we have on file for 138735733500000 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!
Keywords: Divisors of 138735733500000, math, Factors of 138735733500000, curriculum, school, college, exams, university, Prime factorization of 138735733500000, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty-eight trillion, seven hundred thirty-five billion, seven hundred thirty-three million, five hundred thousand.