138446790144000
138,446,790,144,000 is an even composite number composed of seven prime numbers multiplied together.
What does the number 138446790144000 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 2496 divisors.
138446790144000 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of two thousand, four hundred ninety-six divisors.
Prime factorization of 138446790144000:
212 × 3 × 53 × 132 × 17 × 137 × 229
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 5 × 13 × 13 × 17 × 137 × 229)See below for interesting mathematical facts about the number 138446790144000 from the Numbermatics database.
Names of 138446790144000
- Cardinal: 138446790144000 can be written as One hundred thirty-eight trillion, four hundred forty-six billion, seven hundred ninety million, one hundred forty-four thousand.
Scientific notation
- Scientific notation: 1.38446790144 × 1014
Factors of 138446790144000
Divisors of 138446790144000
- Number of divisors d(n): 2496
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Complete list of divisors:
1 2 3 4 5 6 8 10 12 13 15 16 17 20 24 25 26 30 32 34 39 40 48 50 51 52 60 64 65 68 75 78 80 85 96 100 102 104 120 125 128 130 136 137 150 156 160 169 170 192 195 200 204 208 221 229 240 250 255 256 260 272 274 300 312 320 325 338 340 375 384 390 400 408 411 416 425 442 458 480 500 507 510 512 520 544 548 600 624 640 650 663 676 680 685 687 750 768 780 800 816 822 832 845 850 884 916 960 975 1000 1014 1020 1024 1040 1088 1096 1105 1145 1200 1248 1275 1280 1300 1326 1352 1360 1370 1374 1500 1536 1560 1600 1625 1632 1644 1664 1690 1700 1768 1781 1832 1920 1950 2000 2028 2040 2048 2055 2080 2125 2176 2192 2210 2290 2329 2400 2496 2535 2550 2560 2600 2652 2704 2720 2740 2748 2873 2977 3000 3072 3120 3200 3250 3264 3288 3315 3328 3380 3400 3425 3435 3536 3562 3664 3840 3893 3900 4000 4056 4080 4096 4110 4160 4225 4250 4352 4384 4420 4580 4658 4800 4875 4992 5070 5100 5120 5200 5304 5343 5408 5440 5480 5496 5525 5725 5746 5954 6000 6144 6240 6375 6400 6500 6528 6576 6630 6656 6760 6800 6850 6870 6987 7072 7124 7328 7680 7786 7800 8000 8112 8160 8220 8320 8450 8500 8619 8704 8768 8840 8905 8931 9160 9316 9600 9750 9984 10140 10200 10240 10275 10400 10608 10686 10816 10880 10960 10992 11050 11450 11492 11645 11679 11908 12000 12288 12480 12675 12750 12800 13000 13056 13152 13260 13312 13520 13600 13700 13740 13974 14144 14248 14365 14656 14885 15360 15572 15600 16000 16224 16320 16440 16575 16640 16900 17000 17125 17175 17238 17408 17536 17680 17810 17862 18320 18632 19200 19465 19500 19968 20280 20400 20480 20550 20800 21125 21216 21372 21632 21760 21920 21984 22100 22900 22984 23153 23290 23358 23816 24000 24960 25350 25500 25600 26000 26112 26304 26520 26624 26715 27040 27200 27400 27480 27625 27948 28288 28496 28625 28730 29312 29770 30277 30720 31144 31200 31373 32000 32448 32640 32880 33150 33280 33800 34000 34250 34350 34476 34816 34935 35072 35360 35620 35724 36640 37264 38400 38701 38930 39000 39936 40560 40800 41100 41600 42250 42432 42744 43095 43264 43520 43840 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156614016000 162878576640 163842355200 166402392000 168426752000 169665184000 173058487680 177495884800 180269258000 184595720192 201523712000 202112102400 203598220800 204802944000 208818688000 212995061760 216323109600 221869856000 230744650240 252640128000 254497776000 266243827200 270403887000 271464294400 273070592000 276893580288 288430812800 302285568000 313228032000 325757153280 332804784000 336853504000 339330368000 346116975360 354991769600 360538516000 369191440384 407196441600 409605888000 425990123520 432646219200 443739712000 461489300480 505280256000 508995552000 532487654400 540807774000 542928588800 553787160576 576861625600 604571136000 626456064000 665609568000 678660736000 692233950720 709983539200 721077032000 814392883200 819211776000 865292438400 887479424000 922978600960 1010560512000 1017991104000 1064975308800 1081615548000 1107574321152 1153723251200 1331219136000 1357321472000 1384467901440 1442154064000 1628785766400 1730584876800 1774958848000 1845957201920 2035982208000 2129950617600 2163231096000 2307446502400 2662438272000 2714642944000 2768935802880 2884308128000 3461169753600 3549917696000 4071964416000 4326462192000 4614893004800 5324876544000 5537871605760 5768616256000 6922339507200 8143928832000 8652924384000 9229786009600 10649753088000 11537232512000 13844679014400 17305848768000 23074465024000 27689358028800 34611697536000 46148930048000 69223395072000 138446790144000
- Sum of all divisors σ(n): 534382260647040
- Sum of proper divisors (its aliquot sum) s(n): 395935470503040
- 138446790144000 is an abundant number, because the sum of its proper divisors (395935470503040) is greater than itself. Its abundance is 257488680359040
Bases of 138446790144000
- Binary: 111110111101010101001111011111100110000000000002
- Hexadecimal: 0x7DEAA7BF3000
- Base-36: 1D2PKS9EYO
Squares and roots of 138446790144000
- 138446790144000 squared (1384467901440002) is 19167513701176775540736000000
- 138446790144000 cubed (1384467901440003) is 2653680746969065769134869115305984000000000
-
The
square root of 138446790144000 is 11766341.4086112595 -
The
cube root of 138446790144000 is 51732.2018835929
Scales and comparisons
How big is 138446790144000?- 138,446,790,144,000 seconds is equal to 4,402,179 years, 35 weeks, 3 days, 10 hours, 40 minutes.
-
To count from 1 to 138,446,790,144,000 would take you about eleven million, five thousand, four hundred forty-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 138446790144000 cubic inches would be around 4311 feet tall.
Recreational maths with 138446790144000
- 138446790144000 backwards is 000441097644831
- 138446790144000 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 138446790144000's digits is 51
- More coming soon!
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The information we have on file for 138446790144000 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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