328329105408000
328,329,105,408,000 is an even composite number composed of seven prime numbers multiplied together.
What does the number 328329105408000 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 3072 divisors.
328329105408000 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of three thousand and seventy-two divisors.
Prime factorization of 328329105408000:
215 × 32 × 53 × 19 × 23 × 89 × 229
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 5 × 5 × 19 × 23 × 89 × 229)See below for interesting mathematical facts about the number 328329105408000 from the Numbermatics database.
Names of 328329105408000
- Cardinal: 328329105408000 can be written as Three hundred twenty-eight trillion, three hundred twenty-nine billion, one hundred five million, four hundred eight thousand.
Scientific notation
- Scientific notation: 3.28329105408 × 1014
Factors of 328329105408000
Divisors of 328329105408000
- Number of divisors d(n): 3072
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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 30 32 36 38 40 45 46 48 50 57 60 64 69 72 75 76 80 89 90 92 95 96 100 114 115 120 125 128 138 144 150 152 160 171 178 180 184 190 192 200 207 225 228 229 230 240 250 256 267 276 285 288 300 304 320 342 345 356 360 368 375 380 384 400 414 437 445 450 456 458 460 475 480 500 512 534 552 570 575 576 600 608 640 684 687 690 712 720 736 750 760 768 800 801 828 855 874 890 900 912 916 920 950 960 1000 1024 1035 1068 1104 1125 1140 1145 1150 1152 1200 1216 1280 1311 1335 1368 1374 1380 1424 1425 1440 1472 1500 1520 1536 1600 1602 1656 1691 1710 1725 1748 1780 1800 1824 1832 1840 1900 1920 2000 2047 2048 2061 2070 2136 2185 2208 2225 2250 2280 2290 2300 2304 2375 2400 2432 2560 2622 2670 2736 2748 2760 2848 2850 2875 2880 2944 3000 3040 3072 3200 3204 3312 3382 3420 3435 3450 3496 3560 3600 3648 3664 3680 3800 3840 3933 4000 4005 4094 4096 4122 4140 4272 4275 4351 4370 4416 4450 4500 4560 4580 4600 4608 4750 4800 4864 5073 5120 5175 5244 5267 5340 5472 5496 5520 5696 5700 5725 5750 5760 5888 6000 6080 6141 6144 6400 6408 6555 6624 6675 6764 6840 6870 6900 6992 7120 7125 7200 7296 7328 7360 7600 7680 7866 8000 8010 8188 8192 8244 8280 8455 8544 8550 8625 8702 8740 8832 8900 9000 9120 9160 9200 9216 9500 9600 9728 10146 10235 10240 10305 10350 10488 10534 10680 10925 10944 10992 11040 11125 11392 11400 11450 11500 11520 11776 12000 12160 12282 12288 12800 12816 13053 13110 13248 13350 13528 13680 13740 13800 13984 14240 14250 14400 14592 14656 14720 15200 15219 15360 15732 15801 16000 16020 16376 16384 16488 16560 16910 17088 17100 17175 17250 17404 17480 17664 17800 18000 18240 18320 18400 18423 18432 19000 19200 19456 19665 20025 20292 20381 20470 20480 20610 20700 20976 21068 21360 21375 21755 21850 21888 21984 22080 22250 22784 22800 22900 23000 23040 23552 24000 24320 24564 24576 25365 25600 25632 25875 26106 26220 26335 26496 26700 27056 27360 27480 27600 27968 28480 28500 28625 28800 29184 29312 29440 30400 30438 30705 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230568192000 237919641600 238958592000 240006656000 245939404800 250441728000 256507113600 270007488000 273607587840 285007904000 285503569920 286750310400 288007987200 291848093696 297399552000 307424256000 317226188800 320633892000 328329105408 342009484800 345609584640 356879462400 358437888000 360009984000 364810117120 368909107200 375662592000 384010649600 396532736000 409899008000 410411381760 427511856000 432011980800 437772140544 446099328000 456012646400 461136384000 475839283200 477917184000 480013312000 513014227200 540014976000 547215175680 570015808000 571007139840 576015974400 594799104000 614848512000 641267784000 656658210816 684018969600 691219169280 713758924800 716875776000 720019968000 729620234240 737818214400 751325184000 793065472000 820822763520 855023712000 864023961600 875544281088 892198656000 912025292800 922272768000 951678566400 960026624000 1026028454400 1080029952000 1094430351360 1140031616000 1152031948800 1189598208000 1229697024000 1282535568000 1313316421632 1368037939200 1427517849600 1433751552000 1440039936000 1459240468480 1586130944000 1641645527040 1710047424000 1728047923200 1784397312000 1824050585600 1844545536000 1920053248000 2052056908800 2160059904000 2188860702720 2280063232000 2379196416000 2565071136000 2626632843264 2736075878400 2855035699200 2880079872000 3283291054080 3420094848000 3456095846400 3568794624000 3648101171200 3689091072000 4104113817600 4320119808000 4377721405440 4560126464000 4758392832000 5130142272000 5472151756800 5760159744000 6566582108160 6840189696000 7137589248000 7296202342400 8208227635200 8640239616000 9120252928000 10260284544000 10944303513600 13133164216320 13680379392000 14275178496000 16416455270400 17280479232000 18240505856000 20520569088000 21888607027200 27360758784000 32832910540800 36481011712000 41041138176000 54721517568000 65665821081600 82082276352000 109443035136000 164164552704000 328329105408000
- Sum of all divisors σ(n): 1320543881280000
- Sum of proper divisors (its aliquot sum) s(n): 992214775872000
- 328329105408000 is an abundant number, because the sum of its proper divisors (992214775872000) is greater than itself. Its abundance is 663885670464000
Bases of 328329105408000
- Binary: 10010101010011101000100111011001010000000000000002
- Hexadecimal: 0x12A9D13B28000
- Base-36: 38DSB45J40
Squares and roots of 328329105408000
- 328329105408000 squared (3283291054080002) is 107800001458017574846464000000
- 328329105408000 cubed (3283291054080003) is 35393878041692006018481208072077312000000000
-
The
square root of 328329105408000 is 18119853.9013977703 -
The
cube root of 328329105408000 is 68987.4026857585
Scales and comparisons
How big is 328329105408000?- 328,329,105,408,000 seconds is equal to 10,439,849 years, 50 weeks, 16 hours.
-
To count from 1 to 328,329,105,408,000 would take you about twenty-six million, ninety-nine thousand, six hundred twenty-four 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 328329105408000 cubic inches would be around 5749 feet tall.
Recreational maths with 328329105408000
- 328329105408000 backwards is 000804501923823
- 328329105408000 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 328329105408000's digits is 45
- More coming soon!
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"Number 328329105408000 - Facts about the integer". Numbermatics.com. 2024. Web. 14 June 2024.
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Numbermatics. (2024). Number 328329105408000 - Facts about the integer. Retrieved 14 June 2024, from https://numbermatics.com/n/328329105408000/
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The information we have on file for 328329105408000 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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