428290518548480000
428,290,518,548,480,000 is an even composite number composed of five prime numbers multiplied together.
What does the number 428290518548480000 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 2070 divisors.
428290518548480000 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of two thousand and seventy divisors.
Prime factorization of 428290518548480000:
222 × 54 × 72 × 532 × 1187
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 5 × 5 × 7 × 7 × 53 × 53 × 1187)See below for interesting mathematical facts about the number 428290518548480000 from the Numbermatics database.
Names of 428290518548480000
- Cardinal: 428290518548480000 can be written as Four hundred twenty-eight quadrillion, two hundred ninety trillion, five hundred eighteen billion, five hundred forty-eight million, four hundred eighty thousand.
Scientific notation
- Scientific notation: 4.2829051854848 × 1017
Factors of 428290518548480000
Divisors of 428290518548480000
- Number of divisors d(n): 2070
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Complete list of divisors:
1 2 4 5 7 8 10 14 16 20 25 28 32 35 40 49 50 53 56 64 70 80 98 100 106 112 125 128 140 160 175 196 200 212 224 245 250 256 265 280 320 350 371 392 400 424 448 490 500 512 530 560 625 640 700 742 784 800 848 875 896 980 1000 1024 1060 1120 1187 1225 1250 1280 1325 1400 1484 1568 1600 1696 1750 1792 1855 1960 2000 2048 2120 2240 2374 2450 2500 2560 2597 2650 2800 2809 2968 3136 3200 3392 3500 3584 3710 3920 4000 4096 4240 4375 4480 4748 4900 5000 5120 5194 5300 5600 5618 5935 5936 6125 6272 6400 6625 6784 7000 7168 7420 7840 8000 8192 8309 8480 8750 8960 9275 9496 9800 10000 10240 10388 10600 11200 11236 11870 11872 12250 12544 12800 12985 13250 13568 14000 14045 14336 14840 15680 16000 16384 16618 16960 17500 17920 18550 18992 19600 19663 20000 20480 20776 21200 22400 22472 23740 23744 24500 25088 25600 25970 26500 27136 28000 28090 28672 29675 29680 30625 31360 32000 32768 33125 33236 33920 35000 35840 37100 37984 39200 39326 40000 40960 41545 41552 42400 44800 44944 46375 47480 47488 49000 50176 51200 51940 53000 54272 56000 56180 57344 58163 59350 59360 61250 62720 62911 64000 64925 65536 66250 66472 67840 70000 70225 71680 74200 75968 78400 78652 80000 81920 83090 83104 84800 89600 89888 92750 94960 94976 98000 98315 100352 102400 103880 106000 108544 112000 112360 114688 116326 118700 118720 122500 125440 125822 128000 129850 131072 132500 132944 135680 137641 140000 140450 143360 148375 148400 151936 156800 157304 160000 163840 166180 166208 169600 179200 179776 185500 189920 189952 196000 196630 200704 204800 207725 207760 212000 217088 224000 224720 229376 231875 232652 237400 237440 245000 250880 251644 256000 259700 262144 265000 265888 271360 275282 280000 280900 286720 290815 296750 296800 303872 313600 314555 314608 320000 324625 327680 332360 332416 339200 351125 358400 359552 371000 379840 379904 392000 393260 401408 409600 415450 415520 424000 434176 440377 448000 449440 458752 463750 465304 474800 474880 490000 491575 501760 503288 512000 519400 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4370311413760000 5353631481856000 6118435979264000 6692039352320000 7648044974080000 8080953180160000 8565810370969600 8740622827520000 10707262963712000 12236871958528000 13384078704640000 15296089948160000 17131620741939200 21414525927424000 26768157409280000 30592179896320000 42829051854848000 53536314818560000 61184359792640000 85658103709696000 107072629637120000 214145259274240000 428290518548480000
- Sum of all divisors σ(n): 1270145654493166836
- Sum of proper divisors (its aliquot sum) s(n): 841855135944686836
- 428290518548480000 is an abundant number, because the sum of its proper divisors (841855135944686836) is greater than itself. Its abundance is 413564617396206836
Bases of 428290518548480000
- Binary: 101111100011001011111110101000110101100000000000000000000002
- Hexadecimal: 0x5F197F51AC00000
- Base-36: 3954BG029TKW
Squares and roots of 428290518548480000
- 428290518548480000 squared (4282905185484800002) is 183432768278525890926110310400000000
- 428290518548480000 cubed (4282905185484800003) is 78562515444793026846561165221509770248192000000000000
-
The
square root of 428290518548480000 is 654439086.9656854473 -
The
cube root of 428290518548480000 is 753782.6784866563
Scales and comparisons
How big is 428290518548480000?- 428,290,518,548,480,000 seconds is equal to 13,618,313,700 years, 14 weeks, 5 days, 16 hours, 53 minutes, 20 seconds.
-
To count from 1 to 428,290,518,548,480,000 would take you about forty billion, eight hundred fifty-four million, nine hundred forty-one thousand, one hundred 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 428290518548480000 cubic inches would be around 62815.2 feet tall.
Recreational maths with 428290518548480000
- 428290518548480000 backwards is 000084845815092824
- The number of decimal digits it has is: 18
- The sum of 428290518548480000's digits is 68
- More coming soon!
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"Number 428290518548480000 - Facts about the integer". Numbermatics.com. 2024. Web. 6 May 2024.
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Numbermatics. (2024). Number 428290518548480000 - Facts about the integer. Retrieved 6 May 2024, from https://numbermatics.com/n/428290518548480000/
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The information we have on file for 428290518548480000 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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