345968713728000
345,968,713,728,000 is an even composite number composed of six prime numbers multiplied together.
345968713728000 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of four thousand and eighty divisors.
Prime factorization of 345968713728000:
216 × 34 × 53 × 112 × 31 × 139
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 5 × 5 × 5 × 11 × 11 × 31 × 139)See below for interesting mathematical facts about the number 345968713728000 from the Numbermatics database.
Names of 345968713728000
- Cardinal: 345968713728000 can be written as Three hundred forty-five trillion, nine hundred sixty-eight billion, seven hundred thirteen million, seven hundred twenty-eight thousand.
Scientific notation
- Scientific notation: 3.45968713728 × 1014
Factors of 345968713728000
Divisors of 345968713728000
- Number of divisors d(n): 4080
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Complete list of divisors:
1 2 3 4 5 6 8 9 10 11 12 15 16 18 20 22 24 25 27 30 31 32 33 36 40 44 45 48 50 54 55 60 62 64 66 72 75 80 81 88 90 93 96 99 100 108 110 120 121 124 125 128 132 135 139 144 150 155 160 162 165 176 180 186 192 198 200 216 220 225 240 242 248 250 256 264 270 275 278 279 288 297 300 310 320 324 330 341 352 360 363 372 375 384 396 400 405 417 432 440 450 465 480 484 495 496 500 512 528 540 550 556 558 576 594 600 605 620 640 648 660 675 682 695 704 720 726 744 750 768 775 792 800 810 825 834 837 864 880 891 900 930 960 968 990 992 1000 1023 1024 1056 1080 1089 1100 1112 1116 1125 1152 1188 1200 1210 1240 1251 1280 1296 1320 1350 1364 1375 1390 1395 1408 1440 1452 1485 1488 1500 1529 1536 1550 1584 1600 1620 1650 1668 1674 1705 1728 1760 1782 1800 1815 1860 1920 1936 1980 1984 2000 2025 2046 2048 2085 2112 2160 2178 2200 2224 2232 2250 2304 2325 2376 2400 2420 2475 2480 2502 2511 2560 2592 2640 2700 2728 2750 2780 2790 2816 2880 2904 2970 2976 3000 3025 3058 3069 3072 3100 3168 3200 3240 3267 3300 3336 3348 3375 3410 3456 3475 3520 3564 3600 3630 3720 3751 3753 3840 3872 3875 3960 3968 4000 4050 4092 4096 4125 4170 4185 4224 4309 4320 4356 4400 4448 4455 4464 4500 4587 4608 4650 4752 4800 4840 4950 4960 5004 5022 5115 5120 5184 5280 5400 5445 5456 5500 5560 5580 5632 5760 5808 5940 5952 6000 6050 6116 6138 6144 6200 6255 6336 6400 6480 6534 6600 6672 6696 6750 6820 6912 6950 6975 7040 7128 7200 7260 7425 7440 7502 7506 7645 7680 7744 7750 7920 7936 8000 8100 8184 8192 8250 8340 8370 8448 8525 8618 8640 8712 8800 8896 8910 8928 9000 9075 9174 9207 9216 9300 9504 9600 9680 9801 9900 9920 10008 10044 10125 10230 10240 10368 10425 10560 10800 10890 10912 11000 11120 11160 11253 11259 11264 11520 11616 11625 11880 11904 12000 12100 12232 12276 12288 12375 12400 12510 12555 12672 12800 12927 12960 13068 13200 13344 13392 13500 13640 13761 13824 13900 13950 14080 14256 14400 14520 14850 14880 15004 15012 15125 15290 15345 15360 15488 15500 15840 15872 16000 16200 16335 16368 16384 16500 16680 16740 16819 16896 17050 17236 17280 17375 17424 17600 17792 17820 17856 18000 18150 18348 18414 18432 18600 18755 18765 19008 19200 19360 19602 19800 19840 20016 20088 20250 20460 20480 20736 20850 20925 21120 21545 21600 21780 21824 22000 22240 22275 22320 22506 22518 22528 22935 23040 23232 23250 23760 23808 24000 24200 24464 24552 24576 24750 24800 25020 25110 25344 25575 25600 25854 25920 26136 26400 26688 26784 27000 27225 27280 27522 27621 27648 27800 27900 28160 28512 28800 29040 29700 29760 30008 30024 30250 30580 30690 30720 30976 31000 31275 31680 31744 32000 32400 32670 32736 32768 33000 33360 33480 33638 33759 33792 34100 34472 34560 34750 34848 34875 35200 35584 35640 35712 36000 36300 36696 36828 36864 37125 37200 37510 37530 38016 38225 38400 38720 38781 39204 39600 39680 40032 40176 40500 40920 40960 41283 41472 41700 41850 42240 42625 43090 43200 43560 43648 44000 44480 44550 44640 45012 45036 45056 45375 45870 46035 46080 46464 46500 47399 47520 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- Sum of all divisors σ(n): 1474165477424640
- Sum of proper divisors (its aliquot sum) s(n): 1128196763696640
- 345968713728000 is an abundant number, because the sum of its proper divisors (1128196763696640) is greater than itself. Its abundance is 782228049968640
Bases of 345968713728000
- Binary: 10011101010101000000111100100100100000000000000002
- Hexadecimal: 0x13AA81E490000
- Base-36: 3EMVTZI800
Squares and roots of 345968713728000
- 345968713728000 squared (3459687137280002) is 119694350878606815657984000000
- 345968713728000 cubed (3459687137280003) is 41410500613979506685846734453604352000000000
-
The
square root of 345968713728000 is 18600234.2385250619 -
The
cube root of 345968713728000 is 70201.3734554865
Scales and comparisons
How big is 345968713728000?- 345,968,713,728,000 seconds is equal to 11,000,734 years, 49 weeks, 1 day.
-
To count from 1 to 345,968,713,728,000 would take you about twenty-seven million, five hundred one thousand, eight hundred thirty-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 345968713728000 cubic inches would be around 5850.1 feet tall.
Recreational maths with 345968713728000
- 345968713728000 backwards is 000827317869543
- The number of decimal digits it has is: 15
- The sum of 345968713728000's digits is 63
- More coming soon!
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MLA style:
"Number 345968713728000 - Facts about the integer". Numbermatics.com. 2024. Web. 29 May 2024.
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Numbermatics. (2024). Number 345968713728000 - Facts about the integer. Retrieved 29 May 2024, from https://numbermatics.com/n/345968713728000/
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The information we have on file for 345968713728000 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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