137628818196480000
137,628,818,196,480,000 is an even composite number composed of seven prime numbers multiplied together.
What does the number 137628818196480000 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 5400 divisors.
137628818196480000 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of five thousand, four hundred divisors.
Prime factorization of 137628818196480000:
214 × 32 × 54 × 13 × 29 × 972 × 421
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 5 × 5 × 5 × 13 × 29 × 97 × 97 × 421)See below for interesting mathematical facts about the number 137628818196480000 from the Numbermatics database.
Names of 137628818196480000
- Cardinal: 137628818196480000 can be written as One hundred thirty-seven quadrillion, six hundred twenty-eight trillion, eight hundred eighteen billion, one hundred ninety-six million, four hundred eighty thousand.
Scientific notation
- Scientific notation: 1.3762881819648 × 1017
Factors of 137628818196480000
Divisors of 137628818196480000
- Number of divisors d(n): 5400
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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 29 30 32 36 39 40 45 48 50 52 58 60 64 65 72 75 78 80 87 90 96 97 100 104 116 117 120 125 128 130 144 145 150 156 160 174 180 192 194 195 200 208 225 232 234 240 250 256 260 261 288 290 291 300 312 320 325 348 360 375 377 384 388 390 400 416 421 435 450 464 468 480 485 500 512 520 522 576 580 582 585 600 624 625 640 650 696 720 725 750 754 768 776 780 800 832 842 870 873 900 928 936 960 970 975 1000 1024 1040 1044 1125 1131 1152 1160 1164 1170 1200 1248 1250 1261 1263 1280 1300 1305 1392 1440 1450 1455 1500 1508 1536 1552 1560 1600 1625 1664 1684 1740 1746 1800 1856 1872 1875 1885 1920 1940 1950 2000 2048 2080 2088 2105 2175 2250 2262 2304 2320 2328 2340 2400 2425 2496 2500 2522 2526 2560 2600 2610 2784 2813 2880 2900 2910 2925 3000 3016 3072 3104 3120 3200 3250 3328 3368 3393 3480 3492 3600 3625 3712 3744 3750 3770 3783 3789 3840 3880 3900 4000 4096 4160 4176 4210 4350 4365 4500 4524 4608 4640 4656 4680 4800 4850 4875 4992 5000 5044 5052 5120 5200 5220 5473 5568 5625 5626 5655 5760 5800 5820 5850 6000 6032 6144 6208 6240 6305 6315 6400 6500 6525 6656 6736 6786 6960 6984 7200 7250 7275 7424 7488 7500 7540 7566 7578 7680 7760 7800 8000 8125 8192 8320 8352 8420 8439 8700 8730 9000 9048 9216 9280 9312 9360 9409 9425 9600 9700 9750 9984 10000 10088 10104 10240 10400 10440 10525 10875 10946 11136 11250 11252 11310 11349 11520 11600 11640 11700 12000 12064 12125 12209 12288 12416 12480 12610 12630 12800 13000 13050 13312 13472 13572 13920 13968 14065 14400 14500 14550 14625 14848 14976 15000 15080 15132 15156 15360 15520 15600 16000 16250 16384 16419 16640 16704 16840 16878 16965 17400 17460 18000 18096 18125 18432 18560 18624 18720 18818 18850 18915 18945 19200 19400 19500 19968 20000 20176 20208 20480 20800 20880 21050 21750 21825 21892 22272 22500 22504 22620 22698 23040 23200 23280 23400 24000 24128 24250 24375 24418 24576 24832 24960 25220 25260 25317 25600 26000 26100 26624 26944 27144 27365 27840 27936 28130 28227 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2752576363929600 2867267045760000 3058418182144000 3440720454912000 3528944056320000 3823022727680000 4300900568640000 4587627273216000 4745821317120000 5293416084480000 5505152727859200 5734534091520000 6881440909824000 7646045455360000 8601801137280000 9175254546432000 10586832168960000 11469068183040000 13762881819648000 15292090910720000 17203602274560000 22938136366080000 27525763639296000 34407204549120000 45876272732160000 68814409098240000 137628818196480000
- Sum of all divisors σ(n): 560578326326698680
- Sum of proper divisors (its aliquot sum) s(n): 422949508130218680
- 137628818196480000 is an abundant number, because the sum of its proper divisors (422949508130218680) is greater than itself. Its abundance is 285320689933738680
Bases of 137628818196480000
- Binary: 1111010001111010010101110010100110111010101000000000000002
- Hexadecimal: 0x1E8F4AE53754000
- Base-36: 11N5CE8JEGW0
Squares and roots of 137628818196480000
- 137628818196480000 squared (1376288181964800002) is 18941691598159744359884390400000000
- 137628818196480000 cubed (1376288181964800003) is 2606922629296920156639481839232632225792000000000000
-
The
square root of 137628818196480000 is 370983582.1117694691 -
The
cube root of 137628818196480000 is 516301.1910100945
Scales and comparisons
How big is 137628818196480000?- 137,628,818,196,480,000 seconds is equal to 4,376,170,704 years, 39 weeks, 4 days, 8 hours.
-
To count from 1 to 137,628,818,196,480,000 would take you about thirteen billion, one hundred twenty-eight million, five hundred twelve thousand, one hundred fourteen 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 137628818196480000 cubic inches would be around 43025.1 feet tall.
Recreational maths with 137628818196480000
- 137628818196480000 backwards is 000084691818826731
- 137628818196480000 is a
Harshad number . - The number of decimal digits it has is: 18
- The sum of 137628818196480000's digits is 72
- More coming soon!
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"Number 137628818196480000 - Facts about the integer". Numbermatics.com. 2024. Web. 25 June 2024.
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Numbermatics. (2024). Number 137628818196480000 - Facts about the integer. Retrieved 25 June 2024, from https://numbermatics.com/n/137628818196480000/
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Numbermatics. 2024. "Number 137628818196480000 - Facts about the integer". https://numbermatics.com/n/137628818196480000/
The information we have on file for 137628818196480000 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 137628818196480000, math, Factors of 137628818196480000, curriculum, school, college, exams, university, Prime factorization of 137628818196480000, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty-seven quadrillion, six hundred twenty-eight trillion, eight hundred eighteen billion, one hundred ninety-six million, four hundred eighty thousand.