34314928128000
34,314,928,128,000 is an even composite number composed of five prime numbers multiplied together.
34314928128000 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of three thousand and twenty-four divisors.
Prime factorization of 34314928128000:
217 × 36 × 53 × 132 × 17
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 3 × 5 × 5 × 5 × 13 × 13 × 17)See below for interesting mathematical facts about the number 34314928128000 from the Numbermatics database.
Names of 34314928128000
- Cardinal: 34314928128000 can be written as Thirty-four trillion, three hundred fourteen billion, nine hundred twenty-eight million, one hundred twenty-eight thousand.
Scientific notation
- Scientific notation: 3.4314928128 × 1013
Factors of 34314928128000
Divisors of 34314928128000
- Number of divisors d(n): 3024
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Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 13 15 16 17 18 20 24 25 26 27 30 32 34 36 39 40 45 48 50 51 52 54 60 64 65 68 72 75 78 80 81 85 90 96 100 102 104 108 117 120 125 128 130 135 136 144 150 153 156 160 162 169 170 180 192 195 200 204 208 216 221 225 234 240 243 250 255 256 260 270 272 288 300 306 312 320 324 325 338 340 351 360 375 384 390 400 405 408 416 425 432 442 450 459 468 480 486 500 507 510 512 520 540 544 576 585 600 612 624 640 648 650 663 675 676 680 702 720 729 750 765 768 780 800 810 816 832 845 850 864 884 900 918 936 960 972 975 1000 1014 1020 1024 1040 1053 1080 1088 1105 1125 1152 1170 1200 1215 1224 1248 1275 1280 1296 1300 1326 1350 1352 1360 1377 1404 1440 1458 1500 1521 1530 1536 1560 1600 1620 1625 1632 1664 1690 1700 1728 1755 1768 1800 1836 1872 1920 1944 1950 1989 2000 2025 2028 2040 2048 2080 2106 2125 2160 2176 2210 2250 2295 2304 2340 2400 2430 2448 2496 2535 2550 2560 2592 2600 2652 2700 2704 2720 2754 2808 2873 2880 2916 2925 3000 3042 3060 3072 3120 3159 3200 3240 3250 3264 3315 3328 3375 3380 3400 3456 3510 3536 3600 3645 3672 3744 3825 3840 3888 3900 3978 4000 4050 4056 4080 4096 4131 4160 4212 4225 4250 4320 4352 4420 4500 4563 4590 4608 4680 4800 4860 4875 4896 4992 5070 5100 5120 5184 5200 5265 5304 5400 5408 5440 5508 5525 5616 5746 5760 5832 5850 5967 6000 6075 6084 6120 6144 6240 6318 6375 6400 6480 6500 6528 6630 6656 6750 6760 6800 6885 6912 7020 7072 7200 7290 7344 7488 7605 7650 7680 7776 7800 7956 8000 8100 8112 8160 8192 8262 8320 8424 8450 8500 8619 8640 8704 8775 8840 9000 9126 9180 9216 9360 9477 9600 9720 9750 9792 9945 9984 10125 10140 10200 10240 10368 10400 10530 10608 10800 10816 10880 11016 11050 11232 11475 11492 11520 11664 11700 11934 12000 12150 12168 12240 12288 12393 12480 12636 12675 12750 12800 12960 13000 13056 13260 13312 13500 13520 13600 13689 13770 13824 14040 14144 14365 14400 14580 14625 14688 14976 15210 15300 15360 15552 15600 15795 15912 16000 16200 16224 16320 16384 16524 16575 16640 16848 16900 17000 17238 17280 17408 17550 17680 17901 18000 18225 18252 18360 18432 18720 18954 19125 19200 19440 19500 19584 19890 19968 20250 20280 20400 20480 20655 20736 20800 21060 21125 21216 21600 21632 21760 22032 22100 22464 22815 22950 22984 23040 23328 23400 23868 24000 24300 24336 24480 24576 24786 24960 25272 25350 25500 25600 25857 25920 26000 26112 26325 26520 26624 27000 27040 27200 27378 27540 27625 27648 28080 28288 28730 28800 29160 29250 29376 29835 29952 30375 30420 30600 30720 31104 31200 31590 31824 32000 32400 32448 32640 32768 33048 33150 33280 33696 33800 34000 34425 34476 34560 34816 35100 35360 35802 36000 36450 36504 36720 36864 37440 37908 38025 38250 38400 38880 39000 39168 39780 39936 40500 40560 40800 40960 41067 41310 41472 41600 42120 42250 42432 43095 43200 43264 43520 43875 44064 44200 44928 45630 45900 45968 46080 46656 46800 47385 47736 48000 48600 48672 48960 49152 49572 49725 49920 50544 50700 51000 51200 51714 51840 52000 52224 52650 53040 53248 53703 54000 54080 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134042688000 134568345600 137259712512 141213696000 142978867200 146644992000 152510791680 155271168000 158865408000 164975616000 168210432000 171574640640 175973990400 178723584000 190638489600 201852518400 203046912000 211820544000 214468300800 219967488000 224280576000 228766187520 238298112000 252315648000 254184652800 263960985600 268085376000 274519425024 285957734400 293289984000 317730816000 329951232000 336420864000 343149281280 357447168000 381276979200 403705036800 423641088000 428936601600 439934976000 457532375040 476596224000 504631296000 527921971200 536170752000 571915468800 635461632000 659902464000 672841728000 686298562560 714894336000 762553958400 857873203200 879869952000 953192448000 1009262592000 1072341504000 1143830937600 1270923264000 1319804928000 1372597125120 1429788672000 1715746406400 1906384896000 2018525184000 2144683008000 2287661875200 2639609856000 2859577344000 3431492812800 3812769792000 4289366016000 5719154688000 6862985625600 8578732032000 11438309376000 17157464064000 34314928128000
- Sum of all divisors σ(n): 147233494653336
- Sum of proper divisors (its aliquot sum) s(n): 112918566525336
- 34314928128000 is an abundant number, because the sum of its proper divisors (112918566525336) is greater than itself. Its abundance is 78603638397336
Bases of 34314928128000
- Binary: 1111100110101100100010001101000000000000000002
- Hexadecimal: 0x1F35911A0000
- Base-36: C5W268000
Squares and roots of 34314928128000
- 34314928128000 squared (343149281280002) is 1177514292429805584384000000
- 34314928128000 cubed (343149281280003) is 40406318314421553113149999153152000000000
-
The
square root of 34314928128000 is 5857894.5132188921 -
The
cube root of 34314928128000 is 32495.8347728705
Scales and comparisons
How big is 34314928128000?- 34,314,928,128,000 seconds is equal to 1,091,108 years, 29 weeks, 5 days.
-
To count from 1 to 34,314,928,128,000 would take you about two million, seven hundred twenty-seven thousand, seven hundred seventy-one 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 34314928128000 cubic inches would be around 2708 feet tall.
Recreational maths with 34314928128000
- 34314928128000 backwards is 00082182941343
- 34314928128000 is a
Harshad number . - The number of decimal digits it has is: 14
- The sum of 34314928128000's digits is 45
- More coming soon!
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"Number 34314928128000 - Facts about the integer". Numbermatics.com. 2024. Web. 4 May 2024.
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Numbermatics. (2024). Number 34314928128000 - Facts about the integer. Retrieved 4 May 2024, from https://numbermatics.com/n/34314928128000/
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The information we have on file for 34314928128000 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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