428490746832960
428,490,746,832,960 is an even composite number composed of six prime numbers multiplied together.
428490746832960 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of two thousand, nine hundred forty divisors.
Prime factorization of 428490746832960:
26 × 36 × 5 × 72 × 294 × 53
(2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 3 × 5 × 7 × 7 × 29 × 29 × 29 × 29 × 53)See below for interesting mathematical facts about the number 428490746832960 from the Numbermatics database.
Names of 428490746832960
- Cardinal: 428490746832960 can be written as Four hundred twenty-eight trillion, four hundred ninety billion, seven hundred forty-six million, eight hundred thirty-two thousand, nine hundred sixty.
Scientific notation
- Scientific notation: 4.2849074683296 × 1014
Factors of 428490746832960
Divisors of 428490746832960
- Number of divisors d(n): 2940
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Complete list of divisors:
1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 20 21 24 27 28 29 30 32 35 36 40 42 45 48 49 53 54 56 58 60 63 64 70 72 80 81 84 87 90 96 98 105 106 108 112 116 120 126 135 140 144 145 147 159 160 162 168 174 180 189 192 196 203 210 212 216 224 232 240 243 245 252 261 265 270 280 288 290 294 315 318 320 324 336 348 360 371 378 392 405 406 420 424 432 435 441 448 464 477 480 486 490 504 522 530 540 560 567 576 580 588 609 630 636 648 672 696 720 729 735 742 756 783 784 795 810 812 840 841 848 864 870 882 928 945 954 960 972 980 1008 1015 1044 1060 1080 1113 1120 1134 1160 1176 1215 1218 1260 1272 1296 1305 1323 1344 1392 1421 1431 1440 1458 1470 1484 1512 1537 1566 1568 1590 1620 1624 1680 1682 1696 1701 1728 1740 1764 1827 1855 1856 1890 1908 1944 1960 2016 2030 2088 2120 2160 2205 2226 2240 2268 2320 2349 2352 2385 2430 2436 2520 2523 2544 2592 2597 2610 2646 2784 2835 2842 2862 2880 2916 2940 2968 3024 3045 3074 3132 3136 3180 3240 3248 3339 3360 3364 3392 3402 3480 3528 3645 3654 3710 3780 3816 3888 3915 3920 3969 4032 4060 4176 4205 4240 4263 4293 4320 4410 4452 4536 4611 4640 4698 4704 4770 4860 4872 5040 5046 5088 5103 5184 5194 5220 5292 5481 5565 5568 5670 5684 5724 5832 5880 5887 5936 6048 6090 6148 6264 6360 6480 6496 6615 6678 6720 6728 6804 6960 7047 7056 7105 7155 7290 7308 7420 7560 7569 7632 7685 7776 7791 7830 7840 7938 8120 8352 8410 8480 8505 8526 8586 8640 8820 8904 9072 9135 9222 9280 9396 9408 9540 9720 9744 10017 10080 10092 10176 10206 10388 10440 10584 10759 10962 11130 11340 11368 11448 11664 11745 11760 11774 11872 11907 12096 12180 12296 12528 12615 12720 12789 12879 12960 12985 12992 13230 13356 13456 13608 13833 13920 14094 14112 14210 14310 14580 14616 14840 15120 15138 15264 15370 15552 15582 15660 15680 15876 16240 16443 16695 16704 16820 16960 17010 17052 17172 17640 17661 17808 18144 18270 18444 18792 19080 19440 19488 19845 20034 20160 20184 20412 20776 20880 21141 21168 21315 21465 21518 21924 22260 22680 22707 22736 22896 23055 23328 23373 23490 23520 23548 23744 23814 24360 24389 24592 25056 25230 25440 25515 25578 25758 25920 25970 26460 26712 26912 27216 27405 27666 27840 28188 28224 28420 28620 29160 29232 29435 29680 30051 30240 30276 30528 30740 31164 31320 31752 32277 32480 32886 33390 33640 34020 34104 34344 35235 35280 35322 35616 35721 36288 36540 36888 37584 37845 38160 38367 38637 38880 38955 38976 39690 40068 40368 40824 41209 41499 41552 41760 42282 42336 42630 42930 43036 43848 44520 44573 45360 45414 45472 45792 46110 46656 46746 46980 47040 47096 47628 48720 48778 49184 49329 50085 50112 50460 50880 51030 51156 51516 51940 52920 52983 53424 53795 53824 54432 54810 55332 56376 56840 57240 58320 58464 58870 59360 59535 60102 60480 60552 61480 62328 62640 63504 63945 64395 64554 64960 65772 66780 67280 68040 68121 68208 68688 69165 70119 70470 70560 70644 71232 71442 73080 73167 73776 75168 75313 75690 76320 76734 77274 77760 77910 79380 80136 80736 81648 82215 82418 82998 83104 83520 84564 84672 85260 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2231722639755 2267146808640 2380504149072 2462590499040 2550540159720 2645004610080 2678067167706 2694910357440 2914903039680 2955108598848 2975630186340 3060648191664 3174005532096 3400720212960 3570756223608 3693885748560 3825810239580 3967506915120 4042365536160 4080864255552 4372354559520 4463445279510 4761008298144 4925180998080 5101080319440 5290009220160 5356134335412 5951260372680 6121296383328 6695167919265 6801440425920 7141512447216 7387771497120 7651620479160 7935013830240 8084731072320 8744709119040 8926890559020 9522016596288 10202160638880 10712268670824 11902520745360 12242592766656 13390335838530 14283024894432 14775542994240 15303240958320 15870027660480 17853781118040 20404321277760 21424537341648 23805041490720 26780671677060 28566049788864 30606481916640 35707562236080 42849074683296 47610082981440 53561343354120 61212963833280 71415124472160 85698149366592 107122686708240 142830248944320 214245373416480 428490746832960
- Sum of all divisors σ(n): 1877913939933468
- Sum of proper divisors (its aliquot sum) s(n): 1449423193100508
- 428490746832960 is an abundant number, because the sum of its proper divisors (1449423193100508) is greater than itself. Its abundance is 1020932446267548
Bases of 428490746832960
- Binary: 11000010110110101110001101100000100101000010000002
- Hexadecimal: 0x185B5C6C12840
- Base-36: 47VXXJD000
Squares and roots of 428490746832960
- 428490746832960 squared (4284907468329602) is 183604320121467820270142361600
- 428490746832960 cubed (4284907468329603) is 78672752250605611410925057620403535118336000
-
The
square root of 428490746832960 is 20700018.0394356181 -
The
cube root of 428490746832960 is 75390.0126100801
Scales and comparisons
How big is 428490746832960?- 428,490,746,832,960 seconds is equal to 13,624,680 years, 17 weeks, 4 days, 21 hours, 36 minutes.
-
To count from 1 to 428,490,746,832,960 would take you about thirty-four million, sixty-one thousand, seven 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 428490746832960 cubic inches would be around 6282.5 feet tall.
Recreational maths with 428490746832960
- 428490746832960 backwards is 069238647094824
- 428490746832960 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 428490746832960's digits is 72
- More coming soon!
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Cite this page
MLA style:
"Number 428490746832960 - Facts about the integer". Numbermatics.com. 2024. Web. 22 May 2024.
APA style:
Numbermatics. (2024). Number 428490746832960 - Facts about the integer. Retrieved 22 May 2024, from https://numbermatics.com/n/428490746832960/
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Numbermatics. 2024. "Number 428490746832960 - Facts about the integer". https://numbermatics.com/n/428490746832960/
The information we have on file for 428490746832960 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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