138535044648000
138,535,044,648,000 is an even composite number composed of nine prime numbers multiplied together.
What does the number 138535044648000 look like?
This visualization shows the relationship between its 9 prime factors (large circles) and 5376 divisors.
138535044648000 is an even composite number. It is composed of nine distinct prime numbers multiplied together. It has a total of five thousand, three hundred seventy-six divisors.
Prime factorization of 138535044648000:
26 × 3 × 53 × 7 × 11 × 132 × 31 × 41 × 349
(2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 5 × 7 × 11 × 13 × 13 × 31 × 41 × 349)See below for interesting mathematical facts about the number 138535044648000 from the Numbermatics database.
Names of 138535044648000
- Cardinal: 138535044648000 can be written as One hundred thirty-eight trillion, five hundred thirty-five billion, forty-four million, six hundred forty-eight thousand.
Scientific notation
- Scientific notation: 1.38535044648 × 1014
Factors of 138535044648000
Divisors of 138535044648000
- Number of divisors d(n): 5376
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Complete list of divisors:
1 2 3 4 5 6 7 8 10 11 12 13 14 15 16 20 21 22 24 25 26 28 30 31 32 33 35 39 40 41 42 44 48 50 52 55 56 60 62 64 65 66 70 75 77 78 80 82 84 88 91 93 96 100 104 105 110 112 120 123 124 125 130 132 140 143 150 154 155 156 160 164 165 168 169 175 176 182 186 192 195 200 205 208 210 217 220 224 231 240 246 248 250 260 264 273 275 280 286 287 300 308 310 312 320 325 328 330 336 338 341 349 350 352 364 372 375 385 390 400 403 410 416 420 429 434 440 448 451 455 462 465 480 492 496 500 507 520 525 528 533 546 550 560 572 574 600 615 616 620 624 650 651 656 660 672 676 682 698 700 704 715 728 744 750 770 775 780 800 806 820 825 832 840 845 858 861 868 875 880 902 910 924 930 960 975 984 992 1000 1001 1014 1023 1025 1040 1047 1050 1056 1066 1085 1092 1100 1120 1144 1148 1155 1183 1200 1209 1230 1232 1240 1248 1271 1300 1302 1312 1320 1344 1352 1353 1364 1365 1375 1396 1400 1430 1435 1456 1488 1500 1540 1550 1560 1599 1600 1612 1625 1640 1650 1680 1690 1705 1716 1722 1736 1745 1750 1760 1804 1820 1848 1859 1860 1925 1950 1968 1984 2000 2002 2015 2028 2046 2050 2080 2094 2100 2112 2132 2145 2170 2184 2200 2240 2255 2275 2288 2296 2310 2325 2366 2387 2400 2418 2443 2460 2464 2480 2496 2535 2542 2600 2604 2624 2625 2640 2665 2704 2706 2728 2730 2750 2792 2800 2821 2860 2870 2912 2976 3000 3003 3075 3080 3100 3120 3157 3198 3224 3250 3255 3280 3300 3360 3380 3410 3432 3444 3472 3490 3500 3520 3549 3575 3608 3640 3696 3718 3720 3731 3813 3839 3850 3875 3900 3936 4000 4004 4030 4056 4092 4100 4125 4160 4188 4200 4225 4264 4290 4305 4340 4368 4400 4433 4510 4537 4550 4576 4592 4620 4650 4732 4774 4800 4836 4875 4886 4920 4928 4960 5005 5070 5084 5115 5125 5200 5208 5235 5239 5250 5280 5330 5408 5412 5425 5456 5460 5500 5577 5584 5600 5642 5720 5740 5775 5824 5863 5915 5952 6000 6006 6045 6150 6160 6200 6240 6314 6355 6396 6448 6500 6510 6560 6600 6720 6760 6765 6820 6825 6864 6888 6929 6944 6980 7000 7098 7150 7161 7175 7216 7280 7329 7392 7436 7440 7462 7626 7678 7700 7750 7800 7872 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721536690875 744812068000 761181564000 787130935500 791628826560 819733992000 824613361000 839606331200 844725882000 865844029050 888045158000 893774481600 899578212000 923566964320 968776536000 989536033200 1049507914000 1065654189600 1108280357184 1117218102000 1126301176000 1154458705400 1236920041500 1259409496800 1319381377600 1332067737000 1385350446480 1443073381750 1489624136000 1522363128000 1574261871000 1649226722000 1689451764000 1731688058100 1776090316000 1799156424000 1847133928640 1979072066400 2099015828000 2131308379200 2164610072625 2234436204000 2308917410800 2473840083000 2518818993600 2664135474000 2770700892960 2886146763500 3148523742000 3298453444000 3378903528000 3463376116200 3552180632000 3958144132800 4198031656000 4329220145250 4468872408000 4617834821600 4947680166000 5328270948000 5541401785920 5772293527000 6297047484000 6596906888000 6926752232400 8658440290500 9235669643200 9895360332000 10656541896000 11544587054000 12594094968000 13853504464800 17316880581000 19790720664000 23089174108000 27707008929600 34633761162000 46178348216000 69267522324000 138535044648000
- Sum of all divisors σ(n): 654904457625600
- Sum of proper divisors (its aliquot sum) s(n): 516369412977600
- 138535044648000 is an abundant number, because the sum of its proper divisors (516369412977600) is greater than itself. Its abundance is 377834368329600
Bases of 138535044648000
- Binary: 111110111111111001101000010000000001100010000002
- Hexadecimal: 0x7DFF34200C40
- Base-36: 1D3U4CPQ2O
Squares and roots of 138535044648000
- 138535044648000 squared (1385350446480002) is 19191958595623353443904000000
- 138535044648000 cubed (1385350446480003) is 2658758840927248646742725203425792000000000
-
The
square root of 138535044648000 is 11770091.1061894503 -
The
cube root of 138535044648000 is 51743.1919783561
Scales and comparisons
How big is 138535044648000?- 138,535,044,648,000 seconds is equal to 4,404,985 years, 46 weeks, 6 days, 14 hours, 40 minutes.
-
To count from 1 to 138,535,044,648,000 would take you about eleven million, twelve thousand, four hundred sixty-four 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 138535044648000 cubic inches would be around 4311.9 feet tall.
Recreational maths with 138535044648000
- 138535044648000 backwards is 000846440535831
- The number of decimal digits it has is: 15
- The sum of 138535044648000's digits is 51
- More coming soon!
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Cite this page
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"Number 138535044648000 - Facts about the integer". Numbermatics.com. 2024. Web. 4 June 2024.
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Numbermatics. (2024). Number 138535044648000 - Facts about the integer. Retrieved 4 June 2024, from https://numbermatics.com/n/138535044648000/
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The information we have on file for 138535044648000 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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