138122203594752000
138,122,203,594,752,000 is an even composite number composed of five prime numbers multiplied together.
138122203594752000 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of two thousand, four hundred thirty-two divisors.
Prime factorization of 138122203594752000:
218 × 33 × 53 × 13 × 2293
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 5 × 5 × 5 × 13 × 229 × 229 × 229)See below for interesting mathematical facts about the number 138122203594752000 from the Numbermatics database.
Names of 138122203594752000
- Cardinal: 138122203594752000 can be written as One hundred thirty-eight quadrillion, one hundred twenty-two trillion, two hundred three billion, five hundred ninety-four million, seven hundred fifty-two thousand.
Scientific notation
- Scientific notation: 1.38122203594752 × 1017
Factors of 138122203594752000
Divisors of 138122203594752000
- Number of divisors d(n): 2432
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Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 13 15 16 18 20 24 25 26 27 30 32 36 39 40 45 48 50 52 54 60 64 65 72 75 78 80 90 96 100 104 108 117 120 125 128 130 135 144 150 156 160 180 192 195 200 208 216 225 229 234 240 250 256 260 270 288 300 312 320 325 351 360 375 384 390 400 416 432 450 458 468 480 500 512 520 540 576 585 600 624 640 650 675 687 702 720 750 768 780 800 832 864 900 916 936 960 975 1000 1024 1040 1080 1125 1145 1152 1170 1200 1248 1280 1300 1350 1374 1404 1440 1500 1536 1560 1600 1625 1664 1728 1755 1800 1832 1872 1920 1950 2000 2048 2061 2080 2160 2250 2290 2304 2340 2400 2496 2560 2600 2700 2748 2808 2880 2925 2977 3000 3072 3120 3200 3250 3328 3375 3435 3456 3510 3600 3664 3744 3840 3900 4000 4096 4122 4160 4320 4500 4580 4608 4680 4800 4875 4992 5120 5200 5400 5496 5616 5725 5760 5850 5954 6000 6144 6183 6240 6400 6500 6656 6750 6870 6912 7020 7200 7328 7488 7680 7800 8000 8192 8244 8320 8640 8775 8931 9000 9160 9216 9360 9600 9750 9984 10240 10305 10400 10800 10992 11232 11450 11520 11700 11908 12000 12288 12366 12480 12800 13000 13312 13500 13740 13824 14040 14400 14625 14656 14885 14976 15360 15600 16000 16384 16488 16640 17175 17280 17550 17862 18000 18320 18432 18720 19200 19500 19968 20480 20610 20800 21600 21984 22464 22900 23040 23400 23816 24000 24576 24732 24960 25600 26000 26624 26793 27000 27480 27648 28080 28625 28800 29250 29312 29770 29952 30720 30915 31200 32000 32768 32976 33280 34350 34560 35100 35724 36000 36640 36864 37440 38400 39000 39936 40960 41220 41600 43200 43875 43968 44655 44928 45800 46080 46800 47632 48000 49152 49464 49920 51200 51525 52000 52441 53248 53586 54000 54960 55296 56160 57250 57600 58500 58624 59540 59904 61440 61830 62400 64000 65536 65952 66560 68700 69120 70200 71448 72000 73280 73728 74425 74880 76800 78000 79872 80379 81920 82440 83200 85875 86400 87750 87936 89310 89856 91600 92160 93600 95264 96000 98304 98928 99840 102400 103050 104000 104882 106496 107172 108000 109920 110592 112320 114500 115200 117000 117248 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12789092925440 13280981114880 13403416166400 13488496444800 13834355328000 14166379855872 14387729541120 14756645683200 14987218272000 15078843187200 15346911510528 15465480192000 15740422062080 15986366156800 16601226393600 16754270208000 16860620556000 17265275449344 17707974819840 17984661926400 18445807104000 18848553984000 19183639388160 19675527577600 19982957696000 20105124249600 20462548680704 20751532992000 21249569783808 21581594311680 22134968524800 22339026944000 22480827408000 23020367265792 23198220288000 23610633093120 23979549235200 24126149099520 24594409472000 25131405312000 25578185850880 26561962229760 26976992889600 27668710656000 28332759711744 28775459082240 29513291366400 29974436544000 30157686374400 30693823021056 31972732313600 33202452787200 33508540416000 33721241112000 34530550898688 35415949639680 35969323852800 36891614208000 37697107968000 38367278776320 39351055155200 39965915392000 40210248499200 40925097361408 41503065984000 42499139567616 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196755275776000 201051242496000 204625486807040 212495697838080 215815943116800 221349685248000 230203672657920 236106330931200 239795492352000 255781858508800 265619622297600 269769928896000 276244407189504 287754590822400 295132913664000 301576863744000 306938230210560 319727323136000 332024527872000 345305508986880 354159496396800 359693238528000 368325876252672 383672787763200 393510551552000 424991395676160 431631886233600 442699370496000 460407345315840 479590984704000 511563717017600 531239244595200 539539857792000 552488814379008 575509181644800 590265827328000 603153727488000 613876460421120 639454646272000 664049055744000 690611017973760 708318992793600 719386477056000 767345575526400 863263772467200 885398740992000 920814690631680 959181969408000 1023127434035200 1062478489190400 1079079715584000 1104977628758016 1151018363289600 1180531654656000 1278909292544000 1328098111488000 1381222035947520 1438772954112000 1534691151052800 1726527544934400 1770797481984000 1841629381263360 1918363938816000 2124956978380800 2158159431168000 2302036726579200 2557818585088000 2656196222976000 2762444071895040 2877545908224000 3069382302105600 3453055089868800 3541594963968000 3836727877632000 4316318862336000 4604073453158400 5115637170176000 5312392445952000 5524888143790080 5755091816448000 6906110179737600 7673455755264000 8632637724672000 9208146906316800 10624784891904000 11510183632896000 13812220359475200 15346911510528000 17265275449344000 23020367265792000 27624440718950400 34530550898688000 46040734531584000 69061101797376000 138122203594752000
- Sum of all divisors σ(n): 552444681421651200
- Sum of proper divisors (its aliquot sum) s(n): 414322477826899200
- 138122203594752000 is an abundant number, because the sum of its proper divisors (414322477826899200) is greater than itself. Its abundance is 276200274232147200
Bases of 138122203594752000
- Binary: 1111010101011010101101001100100001101110000000000000000002
- Hexadecimal: 0x1EAB56990DC0000
- Base-36: 11S08GCYP6O0
Squares and roots of 138122203594752000
- 138122203594752000 squared (1381222035947520002) is 19077743125870122311041941504000000
- 138122203594752000 cubed (1381222035947520003) is 2635059920159813465078071170666430105387008000000000
-
The
square root of 138122203594752000 is 371647956.5324582811 -
The
cube root of 138122203594752000 is 516917.4177485315
Scales and comparisons
How big is 138122203594752000?- 138,122,203,594,752,000 seconds is equal to 4,391,858,834 years, 14 weeks, 6 days.
-
To count from 1 to 138,122,203,594,752,000 would take you about thirteen billion, one hundred seventy-five million, five hundred seventy-six thousand, five hundred two 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 138122203594752000 cubic inches would be around 43076.5 feet tall.
Recreational maths with 138122203594752000
- 138122203594752000 backwards is 000257495302221831
- 138122203594752000 is a
Harshad number . - The number of decimal digits it has is: 18
- The sum of 138122203594752000's digits is 54
- More coming soon!
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"Number 138122203594752000 - Facts about the integer". Numbermatics.com. 2024. Web. 7 June 2024.
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Numbermatics. (2024). Number 138122203594752000 - Facts about the integer. Retrieved 7 June 2024, from https://numbermatics.com/n/138122203594752000/
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The information we have on file for 138122203594752000 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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