138451203072000
138,451,203,072,000 is an even composite number composed of seven prime numbers multiplied together.
What does the number 138451203072000 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 6720 divisors.
138451203072000 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of six thousand, seven hundred twenty divisors.
Prime factorization of 138451203072000:
213 × 34 × 53 × 7 × 132 × 17 × 83
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 5 × 5 × 5 × 7 × 13 × 13 × 17 × 83)See below for interesting mathematical facts about the number 138451203072000 from the Numbermatics database.
Names of 138451203072000
- Cardinal: 138451203072000 can be written as One hundred thirty-eight trillion, four hundred fifty-one billion, two hundred three million, seventy-two thousand.
Scientific notation
- Scientific notation: 1.38451203072 × 1014
Factors of 138451203072000
Divisors of 138451203072000
- Number of divisors d(n): 6720
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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 50 51 52 54 56 60 63 64 65 68 70 72 75 78 80 81 83 84 85 90 91 96 100 102 104 105 108 112 117 119 120 125 126 128 130 135 136 140 144 150 153 156 160 162 166 168 169 170 175 180 182 189 192 195 200 204 208 210 216 221 224 225 234 238 240 249 250 252 255 256 260 270 272 273 280 288 300 306 312 315 320 324 325 332 336 338 340 350 351 357 360 364 375 378 384 390 400 405 408 415 416 420 425 432 442 448 450 455 459 468 476 480 498 500 504 507 510 512 520 525 540 544 546 560 567 576 581 585 595 600 612 624 630 640 648 650 663 664 672 675 676 680 700 702 714 720 728 747 750 756 765 768 780 800 810 816 819 830 832 840 845 850 864 875 884 896 900 910 918 936 945 952 960 975 996 1000 1008 1014 1020 1024 1040 1050 1053 1071 1079 1080 1088 1092 1105 1120 1125 1134 1152 1162 1170 1183 1190 1200 1224 1245 1248 1260 1275 1280 1296 1300 1326 1328 1344 1350 1352 1360 1365 1377 1400 1404 1411 1428 1440 1456 1494 1500 1512 1521 1530 1536 1547 1560 1575 1600 1620 1625 1632 1638 1660 1664 1680 1690 1700 1728 1743 1750 1755 1768 1785 1792 1800 1820 1836 1872 1890 1904 1920 1950 1989 1992 2000 2016 2025 2028 2040 2048 2075 2080 2100 2106 2125 2142 2158 2160 2176 2184 2210 2240 2241 2250 2268 2275 2295 2304 2324 2340 2366 2380 2400 2448 2457 2490 2496 2520 2535 2550 2560 2592 2600 2625 2652 2656 2688 2700 2704 2720 2730 2754 2800 2808 2822 2835 2856 2873 2880 2905 2912 2925 2975 2988 3000 3024 3042 3060 3072 3094 3120 3150 3200 3213 3237 3240 3250 3264 3276 3315 3320 3328 3360 3375 3380 3400 3456 3486 3500 3510 3536 3549 3570 3584 3600 3640 3672 3735 3744 3780 3808 3825 3840 3900 3978 3984 4000 4032 4050 4056 4080 4095 4096 4150 4160 4200 4212 4225 4233 4250 4284 4316 4320 4352 4368 4420 4480 4482 4500 4536 4550 4563 4590 4608 4641 4648 4680 4725 4732 4760 4800 4875 4896 4914 4980 4992 5040 5070 5100 5120 5184 5200 5229 5250 5265 5304 5312 5355 5376 5395 5400 5408 5440 5460 5508 5525 5600 5616 5644 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1977874329600 2036047104000 2130018508800 2163300048000 2197638144000 2307520051200 2472342912000 2563911168000 2662523136000 2714729472000 2769024061440 2884400064000 3076693401600 3296457216000 3461280076800 3550030848000 3845866752000 3955748659200 4072094208000 4326600096000 4615040102400 4944685824000 5127822336000 5325046272000 5538048122880 5768800128000 6592914432000 6922560153600 7691733504000 8144188416000 8653200192000 9230080204800 9889371648000 10650092544000 11537600256000 13845120307200 15383467008000 17306400384000 19778743296000 23075200512000 27690240614400 34612800768000 46150401024000 69225601536000 138451203072000
- Sum of all divisors σ(n): 684535960652544
- Sum of proper divisors (its aliquot sum) s(n): 546084757580544
- 138451203072000 is an abundant number, because the sum of its proper divisors (546084757580544) is greater than itself. Its abundance is 407633554508544
Bases of 138451203072000
- Binary: 111110111101011101011101100011100100000000000002
- Hexadecimal: 0x7DEBAEC72000
- Base-36: 1D2RLRLS00
Squares and roots of 138451203072000
- 138451203072000 squared (1384512030720002) is 19168735632084182237184000000
- 138451203072000 cubed (1384512030720003) is 2653934509631169393519417253429248000000000
-
The
square root of 138451203072000 is 11766528.9304875293 -
The
cube root of 138451203072000 is 51732.7515244969
Scales and comparisons
How big is 138451203072000?- 138,451,203,072,000 seconds is equal to 4,402,320 years.
-
To count from 1 to 138,451,203,072,000 would take you about eleven million, five thousand, eight hundred 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 138451203072000 cubic inches would be around 4311.1 feet tall.
Recreational maths with 138451203072000
- 138451203072000 backwards is 000270302154831
- 138451203072000 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 138451203072000's digits is 36
- More coming soon!
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"Number 138451203072000 - Facts about the integer". Numbermatics.com. 2024. Web. 9 June 2024.
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The information we have on file for 138451203072000 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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