138637568006400000
138,637,568,006,400,000 is an even composite number composed of eight prime numbers multiplied together.
What does the number 138637568006400000 look like?
This visualization shows the relationship between its 8 prime factors (large circles) and 4608 divisors.
138637568006400000 is an even composite number. It is composed of eight distinct prime numbers multiplied together. It has a total of four thousand, six hundred eight divisors.
Prime factorization of 138637568006400000:
211 × 3 × 55 × 17 × 19 × 113 × 181 × 1093
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 5 × 5 × 5 × 17 × 19 × 113 × 181 × 1093)See below for interesting mathematical facts about the number 138637568006400000 from the Numbermatics database.
Names of 138637568006400000
- Cardinal: 138637568006400000 can be written as One hundred thirty-eight quadrillion, six hundred thirty-seven trillion, five hundred sixty-eight billion, six million, four hundred thousand.
Scientific notation
- Scientific notation: 1.386375680064 × 1017
Factors of 138637568006400000
Divisors of 138637568006400000
- Number of divisors d(n): 4608
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Complete list of divisors:
1 2 3 4 5 6 8 10 12 15 16 17 19 20 24 25 30 32 34 38 40 48 50 51 57 60 64 68 75 76 80 85 95 96 100 102 113 114 120 125 128 136 150 152 160 170 181 190 192 200 204 226 228 240 250 255 256 272 285 300 304 320 323 339 340 362 375 380 384 400 408 425 452 456 475 480 500 510 512 543 544 565 570 600 608 625 640 646 678 680 724 750 760 768 800 816 850 904 905 912 950 960 969 1000 1020 1024 1086 1088 1093 1130 1140 1200 1216 1250 1275 1280 1292 1356 1360 1425 1448 1500 1520 1536 1600 1615 1632 1695 1700 1808 1810 1824 1875 1900 1920 1921 1938 2000 2040 2048 2125 2147 2172 2176 2186 2260 2280 2375 2400 2432 2500 2550 2560 2584 2712 2715 2720 2825 2850 2896 3000 3040 3072 3077 3125 3200 3230 3264 3279 3390 3400 3439 3616 3620 3648 3750 3800 3840 3842 3876 4000 4080 4250 4294 4344 4352 4372 4520 4525 4560 4750 4800 4845 4864 5000 5100 5120 5168 5424 5430 5440 5465 5650 5700 5763 5792 6000 6080 6144 6154 6250 6375 6400 6441 6460 6528 6558 6780 6800 6878 7125 7232 7240 7296 7500 7600 7680 7684 7752 8000 8075 8160 8475 8500 8588 8688 8704 8744 9040 9050 9120 9231 9375 9500 9600 9605 9690 9728 10000 10200 10240 10317 10336 10625 10735 10848 10860 10880 10930 11300 11400 11526 11584 11875 12000 12160 12308 12500 12750 12800 12882 12920 13056 13116 13560 13575 13600 13756 14125 14250 14464 14480 14592 15000 15200 15360 15368 15385 15504 16000 16150 16320 16395 16950 17000 17176 17195 17376 17408 17488 18080 18100 18240 18462 18581 18750 19000 19200 19210 19380 19456 20000 20400 20453 20634 20672 20767 21250 21470 21696 21720 21760 21860 22600 22625 22800 23052 23168 23750 24000 24225 24320 24616 25000 25500 25600 25764 25840 26112 26232 27120 27150 27200 27325 27512 28250 28500 28815 28928 28960 29184 30000 30400 30720 30736 30770 31008 31875 32000 32205 32300 32640 32790 33900 34000 34352 34390 34752 34816 34976 35625 36160 36200 36480 36499 36924 37162 37500 38000 38400 38420 38760 38912 40000 40375 40800 40906 41268 41344 41534 42375 42500 42940 43392 43440 43520 43720 45200 45250 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1824178526400000 1848500906752000 2038787764800000 2166212000100000 2310626133440000 2432238035200000 2718383686400000 2772751360128000 2888282666800000 3465939200160000 3648357052800000 4077575529600000 4332424000200000 4621252266880000 5545502720256000 5776565333600000 6931878400320000 7296714105600000 8155151059200000 8664848000400000 9242504533760000 11553130667200000 13863756800640000 17329696000800000 23106261334400000 27727513601280000 34659392001600000 46212522668800000 69318784003200000 138637568006400000
- Sum of all divisors σ(n): 522807968623449600
- Sum of proper divisors (its aliquot sum) s(n): 384170400617049600
- 138637568006400000 is an abundant number, because the sum of its proper divisors (384170400617049600) is greater than itself. Its abundance is 245532832610649600
Bases of 138637568006400000
- Binary: 1111011001000101000100010001100011000101110101000000000002
- Hexadecimal: 0x1EC8A22318BA800
- Base-36: 11X2WZI32VPC
Squares and roots of 138637568006400000
- 138637568006400000 squared (1386375680064000002) is 19220375262729184870440960000000000
- 138637568006400000 cubed (1386375680064000003) is 2664666082595145634741796565156102144000000000000000
-
The
square root of 138637568006400000 is 372340661.2316199881 -
The
cube root of 138637568006400000 is 517559.5307605983
Scales and comparisons
How big is 138637568006400000?- 138,637,568,006,400,000 seconds is equal to 4,408,245,828 years, 23 weeks, 2 days, 13 hours, 20 minutes.
-
To count from 1 to 138,637,568,006,400,000 would take you about thirteen billion, two hundred twenty-four million, seven hundred thirty-seven thousand, four hundred eighty-five 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 138637568006400000 cubic inches would be around 43130 feet tall.
Recreational maths with 138637568006400000
- 138637568006400000 backwards is 000004600865736831
- 138637568006400000 is a
Harshad number . - The number of decimal digits it has is: 18
- The sum of 138637568006400000's digits is 57
- More coming soon!
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The information we have on file for 138637568006400000 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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