138368630400000
138,368,630,400,000 is an even composite number composed of seven prime numbers multiplied together.
What does the number 138368630400000 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 6336 divisors.
138368630400000 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of six thousand, three hundred thirty-six divisors.
Prime factorization of 138368630400000:
210 × 3 × 55 × 72 × 113 × 13 × 17
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 5 × 5 × 5 × 7 × 7 × 11 × 11 × 11 × 13 × 17)See below for interesting mathematical facts about the number 138368630400000 from the Numbermatics database.
Names of 138368630400000
- Cardinal: 138368630400000 can be written as One hundred thirty-eight trillion, three hundred sixty-eight billion, six hundred thirty million, four hundred thousand.
Scientific notation
- Scientific notation: 1.383686304 × 1014
Factors of 138368630400000
Divisors of 138368630400000
- Number of divisors d(n): 6336
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Complete list of divisors:
1 2 3 4 5 6 7 8 10 11 12 13 14 15 16 17 20 21 22 24 25 26 28 30 32 33 34 35 39 40 42 44 48 49 50 51 52 55 56 60 64 65 66 68 70 75 77 78 80 84 85 88 91 96 98 100 102 104 105 110 112 119 120 121 125 128 130 132 136 140 143 147 150 154 156 160 165 168 170 175 176 182 187 192 195 196 200 204 208 210 220 221 224 231 238 240 242 245 250 255 256 260 264 272 273 275 280 286 294 300 308 312 320 325 330 336 340 350 352 357 363 364 374 375 384 385 390 392 400 408 416 420 425 429 440 442 448 455 462 476 480 484 490 500 510 512 520 525 528 539 544 546 550 560 561 572 588 595 600 605 616 624 625 637 640 650 660 663 672 680 700 704 714 715 726 728 735 748 750 768 770 780 784 800 816 825 832 833 840 847 850 858 875 880 884 896 910 924 935 952 960 968 975 980 1000 1001 1020 1024 1040 1050 1056 1078 1088 1092 1100 1105 1120 1122 1144 1155 1176 1190 1200 1210 1225 1232 1248 1250 1274 1275 1280 1300 1309 1320 1326 1331 1344 1360 1365 1375 1400 1408 1428 1430 1452 1456 1470 1496 1500 1536 1540 1547 1560 1568 1573 1600 1617 1625 1632 1650 1664 1666 1680 1694 1700 1716 1750 1760 1768 1785 1792 1815 1820 1848 1870 1875 1904 1911 1920 1925 1936 1950 1960 2000 2002 2040 2057 2080 2100 2112 2125 2145 2156 2176 2184 2200 2210 2240 2244 2275 2288 2310 2352 2380 2400 2420 2431 2450 2464 2496 2499 2500 2541 2548 2550 2560 2600 2618 2625 2640 2652 2662 2688 2695 2720 2730 2750 2800 2805 2816 2856 2860 2904 2912 2940 2975 2992 3000 3003 3025 3072 3080 3094 3120 3125 3136 3146 3185 3200 3234 3250 3264 3300 3315 3328 3332 3360 3388 3400 3432 3500 3520 3536 3570 3575 3584 3630 3640 3675 3696 3740 3750 3808 3822 3840 3850 3872 3900 3920 3927 3993 4000 4004 4080 4114 4125 4160 4165 4200 4224 4235 4250 4290 4312 4352 4368 4375 4400 4420 4480 4488 4550 4576 4620 4641 4675 4704 4719 4760 4800 4840 4862 4875 4900 4928 4992 4998 5000 5005 5082 5096 5100 5120 5200 5236 5250 5280 5304 5324 5376 5390 5440 5460 5500 5525 5600 5610 5632 5712 5720 5775 5808 5824 5880 5929 5950 5984 6000 6006 6050 6125 6160 6171 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- Sum of all divisors σ(n): 672553049349888
- Sum of proper divisors (its aliquot sum) s(n): 534184418949888
- 138368630400000 is an abundant number, because the sum of its proper divisors (534184418949888) is greater than itself. Its abundance is 395815788549888
Bases of 138368630400000
- Binary: 111110111011000011101010001000000100100000000002
- Hexadecimal: 0x7DD875102400
- Base-36: 1D1PO5YUIO
Squares and roots of 138368630400000
- 138368630400000 squared (1383686304000002) is 19145877878771804160000000000
- 138368630400000 cubed (1383686304000003) is 2649188899891311775756222464000000000000000
-
The
square root of 138368630400000 is 11763019.6123274401 -
The
cube root of 138368630400000 is 51722.4649616019
Scales and comparisons
How big is 138368630400000?- 138,368,630,400,000 seconds is equal to 4,399,694 years, 23 weeks, 18 hours, 40 minutes.
-
To count from 1 to 138,368,630,400,000 would take you about ten million, nine hundred ninety-nine thousand, two hundred thirty-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 138368630400000 cubic inches would be around 4310.2 feet tall.
Recreational maths with 138368630400000
- 138368630400000 backwards is 000004036863831
- 138368630400000 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 138368630400000's digits is 42
- More coming soon!
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"Number 138368630400000 - Facts about the integer". Numbermatics.com. 2024. Web. 29 May 2024.
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The information we have on file for 138368630400000 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 138368630400000, math, Factors of 138368630400000, curriculum, school, college, exams, university, Prime factorization of 138368630400000, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty-eight trillion, three hundred sixty-eight billion, six hundred thirty million, four hundred thousand.