67728248340480
67,728,248,340,480 is an even composite number composed of six prime numbers multiplied together.
67728248340480 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of two thousand, four hundred forty-eight divisors.
Prime factorization of 67728248340480:
216 × 35 × 5 × 7 × 132 × 719
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 5 × 7 × 13 × 13 × 719)See below for interesting mathematical facts about the number 67728248340480 from the Numbermatics database.
Names of 67728248340480
- Cardinal: 67728248340480 can be written as Sixty-seven trillion, seven hundred twenty-eight billion, two hundred forty-eight million, three hundred forty thousand, four hundred eighty.
Scientific notation
- Scientific notation: 6.772824834048 × 1013
Factors of 67728248340480
Divisors of 67728248340480
- Number of divisors d(n): 2448
-
Complete list of divisors:
1 2 3 4 5 6 7 8 9 10 12 13 14 15 16 18 20 21 24 26 27 28 30 32 35 36 39 40 42 45 48 52 54 56 60 63 64 65 70 72 78 80 81 84 90 91 96 104 105 108 112 117 120 126 128 130 135 140 144 156 160 162 168 169 180 182 189 192 195 208 210 216 224 234 240 243 252 256 260 270 273 280 288 312 315 320 324 336 338 351 360 364 378 384 390 405 416 420 432 448 455 468 480 486 504 507 512 520 540 546 560 567 576 585 624 630 640 648 672 676 702 719 720 728 756 768 780 810 819 832 840 845 864 896 910 936 945 960 972 1008 1014 1024 1040 1053 1080 1092 1120 1134 1152 1170 1183 1215 1248 1260 1280 1296 1344 1352 1365 1404 1438 1440 1456 1512 1521 1536 1560 1620 1638 1664 1680 1690 1701 1728 1755 1792 1820 1872 1890 1920 1944 2016 2028 2048 2080 2106 2157 2160 2184 2240 2268 2304 2340 2366 2430 2457 2496 2520 2535 2560 2592 2688 2704 2730 2808 2835 2876 2880 2912 3024 3042 3072 3120 3159 3240 3276 3328 3360 3380 3402 3456 3510 3549 3584 3595 3640 3744 3780 3840 3888 4032 4056 4095 4096 4160 4212 4314 4320 4368 4480 4536 4563 4608 4680 4732 4860 4914 4992 5033 5040 5070 5120 5184 5265 5376 5408 5460 5616 5670 5752 5760 5824 5915 6048 6084 6144 6240 6318 6471 6480 6552 6656 6720 6760 6804 6912 7020 7098 7168 7190 7280 7371 7488 7560 7605 7680 7776 8064 8112 8190 8192 8320 8424 8505 8628 8640 8736 8960 9072 9126 9216 9347 9360 9464 9720 9828 9984 10066 10080 10140 10240 10368 10530 10647 10752 10785 10816 10920 11232 11340 11504 11520 11648 11830 12096 12168 12285 12288 12480 12636 12942 12960 13104 13312 13440 13520 13608 13689 13824 14040 14196 14336 14380 14560 14742 14976 15099 15120 15210 15360 15552 15795 16128 16224 16380 16384 16640 16848 17010 17256 17280 17472 17745 17920 18144 18252 18432 18694 18720 18928 19413 19440 19656 19968 20132 20160 20280 20480 20736 21060 21294 21504 21570 21632 21840 22113 22464 22680 22815 23008 23040 23296 23660 24192 24336 24570 24576 24960 25165 25272 25884 25920 26208 26624 26880 27040 27216 27378 27648 28041 28080 28392 28672 28760 29120 29484 29952 30198 30240 30420 30720 31104 31590 31941 32256 32355 32448 32760 32768 33280 33696 34020 34512 34560 34944 35490 35840 36288 36504 36855 36864 37388 37440 37856 38826 38880 39312 39936 40264 40320 40560 40960 41067 41472 42120 42588 43008 43140 43264 43680 44226 44928 45297 45360 45630 46016 46080 46592 46735 47320 48384 48672 49140 49152 49920 50330 50544 51768 51840 52416 53235 53248 53760 54080 54432 54756 55296 56082 56160 56784 57344 57520 58239 58240 58968 59904 60396 60480 60840 61440 62208 63180 63882 64512 64710 64896 65429 65520 65536 66560 67392 68040 68445 69024 69120 69888 70980 71680 72576 73008 73710 73728 74776 74880 75495 75712 77652 77760 78624 79872 80528 80640 81120 81920 82134 82944 84123 84240 85176 86016 86280 86528 87360 88452 89856 90594 90720 91260 92032 92160 93184 93470 94640 95823 96768 97065 97344 98280 98304 99840 100660 101088 103536 103680 104832 106470 106496 107520 108160 108864 109512 110565 110592 112164 112320 113568 114688 115040 116478 116480 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752536092672 806288670720 836151214080 846603104256 868310876160 940670115840 967546404864 1041973051392 1058253880320 1075051560960 1128804139008 1209433006080 1254226821120 1302466314240 1411005173760 1505072185344 1612577341440 1693206208512 1736621752320 1881340231680 1935092809728 2116507760640 2257608278016 2418866012160 2508453642240 2604932628480 2822010347520 3225154682880 3386412417024 3762680463360 4233015521280 4515216556032 4837732024320 5209865256960 5644020695040 6772824834048 7525360926720 8466031042560 9675464048640 11288041390080 13545649668096 16932062085120 22576082780160 33864124170240 67728248340480
- Sum of all divisors σ(n): 301739954181120
- Sum of proper divisors (its aliquot sum) s(n): 234011705840640
- 67728248340480 is an abundant number, because the sum of its proper divisors (234011705840640) is greater than itself. Its abundance is 166283457500160
Bases of 67728248340480
- Binary: 11110110011001001101100010111100000000000000002
- Hexadecimal: 0x3D99362F0000
- Base-36: O09XEDC00
Squares and roots of 67728248340480
- 67728248340480 squared (677282483404802) is 4587115623269731874006630400
- 67728248340480 cubed (677282483404803) is 310677306099308098667104125837316718592000
-
The
square root of 67728248340480 is 8229717.3912887191 -
The
cube root of 67728248340480 is 40762.1060478375
Scales and comparisons
How big is 67728248340480?- 67,728,248,340,480 seconds is equal to 2,153,548 years, 41 weeks, 4 days, 4 hours, 48 minutes.
-
To count from 1 to 67,728,248,340,480 would take you about five million, three hundred eighty-three thousand, eight hundred seventy-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 67728248340480 cubic inches would be around 3396.8 feet tall.
Recreational maths with 67728248340480
- 67728248340480 backwards is 08404384282776
- 67728248340480 is a
Harshad number . - The number of decimal digits it has is: 14
- The sum of 67728248340480's digits is 63
- More coming soon!
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"Number 67728248340480 - Facts about the integer". Numbermatics.com. 2024. Web. 18 June 2024.
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Numbermatics. (2024). Number 67728248340480 - Facts about the integer. Retrieved 18 June 2024, from https://numbermatics.com/n/67728248340480/
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The information we have on file for 67728248340480 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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