146642135040000
146,642,135,040,000 is an even composite number composed of five prime numbers multiplied together.
What does the number 146642135040000 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 1350 divisors.
146642135040000 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one thousand, three hundred fifty divisors.
Prime factorization of 146642135040000:
214 × 32 × 54 × 41 × 1972
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 5 × 5 × 5 × 41 × 197 × 197)See below for interesting mathematical facts about the number 146642135040000 from the Numbermatics database.
Names of 146642135040000
- Cardinal: 146642135040000 can be written as One hundred forty-six trillion, six hundred forty-two billion, one hundred thirty-five million, forty thousand.
Scientific notation
- Scientific notation: 1.4664213504 × 1014
Factors of 146642135040000
Divisors of 146642135040000
- Number of divisors d(n): 1350
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 25 30 32 36 40 41 45 48 50 60 64 72 75 80 82 90 96 100 120 123 125 128 144 150 160 164 180 192 197 200 205 225 240 246 250 256 288 300 320 328 360 369 375 384 394 400 410 450 480 492 500 512 576 591 600 615 625 640 656 720 738 750 768 788 800 820 900 960 984 985 1000 1024 1025 1125 1152 1182 1200 1230 1250 1280 1312 1440 1476 1500 1536 1576 1600 1640 1773 1800 1845 1875 1920 1968 1970 2000 2048 2050 2250 2304 2364 2400 2460 2500 2560 2624 2880 2952 2955 3000 3072 3075 3152 3200 3280 3546 3600 3690 3750 3840 3936 3940 4000 4096 4100 4500 4608 4728 4800 4920 4925 5000 5120 5125 5248 5625 5760 5904 5910 6000 6144 6150 6304 6400 6560 7092 7200 7380 7500 7680 7872 7880 8000 8077 8192 8200 8865 9000 9216 9225 9456 9600 9840 9850 10000 10240 10250 10496 11250 11520 11808 11820 12000 12288 12300 12608 12800 13120 14184 14400 14760 14775 15000 15360 15375 15744 15760 16000 16154 16384 16400 17730 18000 18432 18450 18912 19200 19680 19700 20000 20480 20500 20992 22500 23040 23616 23640 24000 24231 24576 24600 24625 25216 25600 25625 26240 28368 28800 29520 29550 30000 30720 30750 31488 31520 32000 32308 32800 35460 36000 36864 36900 37824 38400 38809 39360 39400 40000 40385 40960 41000 41984 44325 45000 46080 46125 47232 47280 48000 48462 49152 49200 49250 50432 51200 51250 52480 56736 57600 59040 59100 60000 61440 61500 62976 63040 64000 64616 65600 70920 72000 72693 73728 73800 73875 75648 76800 76875 77618 78720 78800 80000 80770 81920 82000 83968 88650 90000 92160 92250 94464 94560 96000 96924 98400 98500 100864 102400 102500 104960 113472 115200 116427 118080 118200 120000 121155 122880 123000 123125 125952 126080 128000 129232 131200 141840 144000 145386 147456 147600 147750 151296 153600 153750 155236 157440 157600 160000 161540 164000 167936 177300 180000 184320 184500 188928 189120 192000 193848 194045 196800 197000 201728 201925 204800 205000 209920 221625 226944 230400 230625 232854 236160 236400 240000 242310 245760 246000 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57282084000 58656854016 59610624000 61100889600 62031360000 63646760000 65174282240 71532748800 71602605000 73321067520 74437632000 74513280000 76376112000 78209138688 79480832000 81467852800 82708480000 89415936000 91651334400 93047040000 95470140000 97761423360 99351040000 101834816000 111769920000 114564168000 117313708032 119221248000 122201779200 124062720000 127293520000 130348564480 143065497600 143205210000 146642135040 148875264000 149026560000 152752224000 162935705600 178831872000 183302668800 186094080000 190940280000 195522846720 198702080000 203669632000 223539840000 229128336000 234627416064 238442496000 244403558400 248125440000 254587040000 286410420000 293284270080 298053120000 305504448000 325871411200 357663744000 366605337600 372188160000 381880560000 391045693440 397404160000 407339264000 447079680000 458256672000 488807116800 509174080000 572820840000 586568540160 596106240000 611008896000 651742822400 715327488000 733210675200 744376320000 763761120000 814678528000 894159360000 916513344000 977614233600 1018348160000 1145641680000 1173137080320 1192212480000 1222017792000 1466421350400 1527522240000 1629357056000 1788318720000 1833026688000 1955228467200 2036696320000 2291283360000 2444035584000 2932842700800 3055044480000 3258714112000 3576637440000 3666053376000 4073392640000 4582566720000 4888071168000 5865685401600 6110088960000 7332106752000 8146785280000 9165133440000 9776142336000 12220177920000 14664213504000 16293570560000 18330266880000 24440355840000 29328427008000 36660533760000 48880711680000 73321067520000 146642135040000
- Sum of all divisors σ(n): 545033137843194
- Sum of proper divisors (its aliquot sum) s(n): 398391002803194
- 146642135040000 is an abundant number, because the sum of its proper divisors (398391002803194) is greater than itself. Its abundance is 251748867763194
Bases of 146642135040000
- Binary: 1000010101011110110010000101111001000000000000002
- Hexadecimal: 0x855EC85E4000
- Base-36: 1FZAGT0JK0
Squares and roots of 146642135040000
- 146642135040000 squared (1466421350400002) is 21503915769089595801600000000
- 146642135040000 cubed (1466421350400003) is 3153380120099621965397244248064000000000000
-
The
square root of 146642135040000 is 12109588.5578330035 -
The
cube root of 146642135040000 is 52733.4588765977
Scales and comparisons
How big is 146642135040000?- 146,642,135,040,000 seconds is equal to 4,662,766 years, 15 weeks, 4 days, 8 hours.
-
To count from 1 to 146,642,135,040,000 would take you about eleven million, six hundred fifty-six thousand, nine hundred fifteen 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 146642135040000 cubic inches would be around 4394.5 feet tall.
Recreational maths with 146642135040000
- 146642135040000 backwards is 000040531246641
- 146642135040000 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 146642135040000's digits is 36
- More coming soon!
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The information we have on file for 146642135040000 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 146642135040000, math, Factors of 146642135040000, curriculum, school, college, exams, university, Prime factorization of 146642135040000, STEM, science, technology, engineering, physics, economics, calculator, one hundred forty-six trillion, six hundred forty-two billion, one hundred thirty-five million, forty thousand.