328961028384000
328,961,028,384,000 is an even composite number composed of six prime numbers multiplied together.
328961028384000 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of four thousand and thirty-two divisors.
Prime factorization of 328961028384000:
28 × 36 × 53 × 19 × 233 × 61
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 3 × 5 × 5 × 5 × 19 × 23 × 23 × 23 × 61)See below for interesting mathematical facts about the number 328961028384000 from the Numbermatics database.
Names of 328961028384000
- Cardinal: 328961028384000 can be written as Three hundred twenty-eight trillion, nine hundred sixty-one billion, twenty-eight million, three hundred eighty-four thousand.
Scientific notation
- Scientific notation: 3.28961028384 × 1014
Factors of 328961028384000
Divisors of 328961028384000
- Number of divisors d(n): 4032
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Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 16 18 19 20 23 24 25 27 30 32 36 38 40 45 46 48 50 54 57 60 61 64 69 72 75 76 80 81 90 92 95 96 100 108 114 115 120 122 125 128 135 138 144 150 152 160 162 171 180 183 184 190 192 200 207 216 225 228 230 240 243 244 250 256 270 276 285 288 300 304 305 320 324 342 345 360 366 368 375 380 384 400 405 414 432 437 450 456 460 475 480 486 488 500 513 529 540 549 552 570 575 576 600 608 610 621 640 648 675 684 690 720 729 732 736 750 760 768 800 810 828 855 864 874 900 912 915 920 950 960 972 976 1000 1026 1035 1058 1080 1098 1104 1125 1140 1150 1152 1159 1200 1215 1216 1220 1242 1280 1296 1311 1350 1368 1380 1403 1425 1440 1458 1464 1472 1500 1520 1525 1539 1587 1600 1620 1647 1656 1710 1725 1728 1748 1800 1824 1830 1840 1863 1900 1920 1944 1952 2000 2025 2052 2070 2116 2160 2185 2196 2208 2250 2280 2300 2304 2318 2375 2400 2430 2432 2440 2484 2565 2592 2622 2645 2700 2736 2745 2760 2806 2850 2875 2880 2916 2928 2944 3000 3040 3050 3078 3105 3174 3200 3240 3294 3312 3375 3420 3450 3456 3477 3496 3600 3645 3648 3660 3680 3726 3800 3840 3888 3904 3933 4000 4050 4104 4140 4209 4232 4275 4320 4370 4392 4416 4500 4560 4575 4600 4617 4636 4750 4761 4800 4860 4864 4880 4941 4968 5130 5175 5184 5244 5290 5400 5472 5490 5520 5589 5612 5700 5750 5760 5795 5832 5856 5888 6000 6075 6080 6100 6156 6210 6348 6400 6480 6555 6588 6624 6750 6840 6900 6912 6954 6992 7015 7125 7200 7290 7296 7320 7360 7452 7600 7625 7695 7776 7808 7866 7935 8000 8100 8208 8235 8280 8418 8464 8550 8625 8640 8740 8784 8832 9000 9120 9150 9200 9234 9272 9315 9500 9522 9600 9720 9760 9882 9936 10051 10125 10260 10350 10368 10431 10488 10580 10800 10925 10944 10980 11040 11178 11224 11400 11500 11520 11590 11664 11712 11799 12000 12150 12160 12167 12200 12312 12420 12627 12696 12825 12960 13110 13176 13225 13248 13500 13680 13725 13800 13851 13908 13984 14030 14250 14283 14400 14580 14592 14640 14720 14823 14904 15200 15250 15390 15525 15552 15616 15732 15870 16000 16200 16416 16470 16560 16767 16836 16928 17100 17250 17280 17385 17480 17568 17664 18000 18225 18240 18300 18400 18468 18544 18630 19000 19044 19200 19440 19520 19665 19764 19872 20102 20250 20520 20700 20736 20862 20976 21045 21160 21375 21600 21850 21888 21960 22080 22356 22448 22800 22875 23000 23085 23180 23328 23424 23598 23805 24000 24300 24320 24334 24400 24624 24705 24840 25254 25392 25650 25875 25920 26220 26352 26450 26496 26657 27000 27360 27450 27600 27702 27816 27945 27968 28060 28500 28566 28800 28975 29160 29280 29440 29646 29808 30153 30375 30400 30500 30780 31050 31104 31293 31464 31740 32000 32269 32400 32775 32832 32940 33120 33534 33672 33856 34200 34500 34560 34770 34960 35075 35136 35397 36000 36450 36480 36501 36600 36800 36936 37088 37260 37881 38000 38088 38475 38880 39040 39330 39528 39675 39744 40204 40500 41040 41175 41400 41724 41952 42090 42320 42750 42849 43200 43700 43776 43920 44160 44469 44712 44896 45600 45750 46000 46170 46360 46575 46656 46848 47196 47610 48000 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794591856000 812249452800 822402570960 856669344750 865686916800 877229409024 893915838000 898800624000 913780634400 953510227200 961874352000 1015311816000 1028003213700 1078560748800 1082108646000 1096536761280 1142225793000 1154249222400 1191887784000 1218374179200 1285004017125 1315844113536 1348200936000 1353749088000 1370670951600 1430265340800 1442811528000 1462049015040 1522967724000 1589183712000 1644805141920 1713338689500 1731373833600 1787831676000 1797601248000 1827561268800 1923748704000 2030623632000 2056006427400 2164217292000 2193073522560 2284451586000 2383775568000 2436748358400 2570008034250 2631688227072 2696401872000 2741341903200 2860530681600 2885623056000 3045935448000 3289610283840 3426677379000 3462747667200 3575663352000 3655122537600 4061247264000 4112012854800 4328434584000 4386147045120 4568903172000 4767551136000 5140016068500 5392803744000 5482683806400 5771246112000 6091870896000 6579220567680 6853354758000 7151326704000 7310245075200 8224025709600 8656869168000 9137806344000 10280032137000 10965367612800 12183741792000 13158441135360 13706709516000 14302653408000 16448051419200 17313738336000 18275612688000 20560064274000 21930735225600 27413419032000 32896102838400 36551225376000 41120128548000 54826838064000 65792205676800 82240257096000 109653676128000 164480514192000 328961028384000
- Sum of all divisors σ(n): 1374277565606400
- Sum of proper divisors (its aliquot sum) s(n): 1045316537222400
- 328961028384000 is an abundant number, because the sum of its proper divisors (1045316537222400) is greater than itself. Its abundance is 716355508838400
Bases of 328961028384000
- Binary: 10010101100110000001101010011110111100101000000002
- Hexadecimal: 0x12B30353DE500
- Base-36: 38LULYS000
Squares and roots of 328961028384000
- 328961028384000 squared (3289610283840002) is 108215358195458853651456000000
- 328961028384000 cubed (3289610283840003) is 35598635518921066975940719258927104000000000
-
The
square root of 328961028384000 is 18137282.8280313257 -
The
cube root of 328961028384000 is 69031.6334952037
Scales and comparisons
How big is 328961028384000?- 328,961,028,384,000 seconds is equal to 10,459,943 years, 8 weeks, 2 days.
-
To count from 1 to 328,961,028,384,000 would take you about twenty-six million, one hundred forty-nine thousand, eight hundred fifty-seven 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 328961028384000 cubic inches would be around 5752.6 feet tall.
Recreational maths with 328961028384000
- 328961028384000 backwards is 000483820169823
- 328961028384000 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 328961028384000's digits is 54
- More coming soon!
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"Number 328961028384000 - Facts about the integer". Numbermatics.com. 2024. Web. 12 May 2024.
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Numbermatics. (2024). Number 328961028384000 - Facts about the integer. Retrieved 12 May 2024, from https://numbermatics.com/n/328961028384000/
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The information we have on file for 328961028384000 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 328961028384000, math, Factors of 328961028384000, curriculum, school, college, exams, university, Prime factorization of 328961028384000, STEM, science, technology, engineering, physics, economics, calculator, three hundred twenty-eight trillion, nine hundred sixty-one billion, twenty-eight million, three hundred eighty-four thousand.