146313348104000
146,313,348,104,000 is an even composite number composed of six prime numbers multiplied together.
What does the number 146313348104000 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 2240 divisors.
146313348104000 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of two thousand, two hundred forty divisors.
Prime factorization of 146313348104000:
26 × 53 × 74 × 113 × 59 × 97
(2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 5 × 7 × 7 × 7 × 7 × 11 × 11 × 11 × 59 × 97)See below for interesting mathematical facts about the number 146313348104000 from the Numbermatics database.
Names of 146313348104000
- Cardinal: 146313348104000 can be written as One hundred forty-six trillion, three hundred thirteen billion, three hundred forty-eight million, one hundred four thousand.
Scientific notation
- Scientific notation: 1.46313348104 × 1014
Factors of 146313348104000
Divisors of 146313348104000
- Number of divisors d(n): 2240
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Complete list of divisors:
1 2 4 5 7 8 10 11 14 16 20 22 25 28 32 35 40 44 49 50 55 56 59 64 70 77 80 88 97 98 100 110 112 118 121 125 140 154 160 175 176 194 196 200 220 224 236 242 245 250 275 280 295 308 320 343 350 352 385 388 392 400 413 440 448 472 484 485 490 500 539 550 560 590 605 616 649 679 686 700 704 770 776 784 800 826 847 875 880 944 968 970 980 1000 1067 1078 1100 1120 1180 1210 1225 1232 1298 1331 1358 1372 1375 1400 1475 1540 1552 1568 1600 1652 1694 1715 1750 1760 1888 1925 1936 1940 1960 2000 2065 2134 2156 2200 2240 2360 2401 2420 2425 2450 2464 2596 2662 2695 2716 2744 2750 2800 2891 2950 3025 3080 3104 3136 3245 3304 3388 3395 3430 3500 3520 3773 3776 3850 3872 3880 3920 4000 4130 4235 4268 4312 4400 4543 4720 4753 4802 4840 4850 4900 4928 5192 5324 5335 5390 5432 5488 5500 5600 5723 5782 5900 5929 6050 6125 6160 6208 6490 6608 6655 6776 6790 6860 7000 7139 7375 7469 7546 7700 7744 7760 7840 8000 8260 8470 8536 8575 8624 8800 9086 9317 9440 9506 9604 9625 9680 9700 9800 10325 10384 10648 10670 10780 10864 10976 11000 11200 11446 11564 11737 11800 11858 12005 12100 12125 12250 12320 12980 13216 13310 13475 13552 13580 13720 14000 14278 14455 14750 14938 15092 15125 15400 15520 15680 16225 16520 16940 16975 17072 17150 17248 17600 18172 18634 18865 18880 19012 19208 19250 19360 19400 19600 20237 20650 20768 21175 21296 21340 21560 21728 21952 22000 22715 22892 23128 23474 23600 23716 23765 24010 24200 24250 24500 24640 25960 26411 26432 26620 26675 26950 27104 27160 27440 28000 28556 28615 28910 29500 29645 29876 30184 30250 30800 31040 31801 32450 33040 33271 33275 33880 33950 34144 34300 34496 35695 36344 37268 37345 37730 38024 38416 38500 38720 38800 39200 40061 40474 41300 41503 41536 42350 42592 42680 42875 43120 43456 44000 45430 45784 46256 46585 46948 47200 47432 47530 48020 48400 48500 49000 49973 51625 51920 52283 52822 53240 53350 53900 54208 54320 54880 56000 57112 57230 57820 58685 59000 59290 59752 60025 60368 60500 61600 62953 63602 64900 65219 66080 66542 66550 67375 67760 67900 68288 68600 71390 72275 72688 74536 74690 75460 76048 76832 77000 77600 78400 78529 80122 80948 81125 82159 82600 83006 84700 84875 85184 85360 85750 86240 88000 90860 91568 92512 93170 93896 94325 94400 94864 95060 96040 96800 97000 98000 99946 101185 103250 103840 104566 105644 105875 106480 106700 107800 108640 109760 113575 114224 114460 115640 117370 118000 118580 118825 119504 120050 120736 121000 123200 125906 127204 129107 129800 130438 132055 132160 133084 133100 133375 134750 135520 135800 137200 141659 142780 143075 144550 145376 148225 149072 149380 150920 152096 153664 154000 155200 157058 159005 160244 161896 162250 164318 165200 166012 166355 166375 169400 169750 170720 171500 172480 178475 181720 183136 185024 186340 186725 187792 188650 189728 190120 192080 193600 194000 196000 199892 200305 202370 206500 207515 207680 209132 211288 211750 212960 213400 215600 217280 222607 227150 228448 228920 231280 232897 232925 234740 236000 237160 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150838503200 151150153000 154992953500 166265168300 167215254976 172743032000 177134804000 182891685130 186624168500 188548129000 190017335200 207831460375 209019068720 213284764000 215483576000 225444296000 237521669000 241840244800 247988725600 261273835900 266024269280 271453336000 292626696208 298598669600 301677006400 302300306000 309985907000 326592294875 332530336600 354269608000 365783370260 373248337000 377096258000 380034670400 415662920750 418038137440 426569528000 457229212825 475043338000 495977451200 522547671800 532048538560 585253392416 597197339200 604600612000 619971814000 653184589750 665060673200 731566740520 746496674000 754192516000 831325841500 836076274880 914458425650 950086676000 1045095343600 1170506784832 1209201224000 1239943628000 1306369179500 1330121346400 1463133481040 1492993348000 1508385032000 1662651683000 1828916851300 1900173352000 2090190687200 2286146064125 2479887256000 2612738359000 2660242692800 2926266962080 2985986696000 3325303366000 3657833702600 4180381374400 4572292128250 5225476718000 5852533924160 6650606732000 7315667405200 9144584256500 10450953436000 13301213464000 14631334810400 18289168513000 20901906872000 29262669620800 36578337026000 73156674052000 146313348104000
- Sum of all divisors σ(n): 477705048387840
- Sum of proper divisors (its aliquot sum) s(n): 331391700283840
- 146313348104000 is an abundant number, because the sum of its proper divisors (331391700283840) is greater than itself. Its abundance is 185078352179840
Bases of 146313348104000
- Binary: 1000010100010010001110110010001110111111010000002
- Hexadecimal: 0x85123B23BF40
- Base-36: 1FV3F9RG3K
Squares and roots of 146313348104000
- 146313348104000 squared (1463133481040002) is 21407595833402280394816000000
- 146313348104000 cubed (1463133481040003) is 3132217021242327842074127965028864000000000
-
The
square root of 146313348104000 is 12096005.4606469155 -
The
cube root of 146313348104000 is 52694.0180831997
Scales and comparisons
How big is 146313348104000?- 146,313,348,104,000 seconds is equal to 4,652,311 years, 46 weeks, 2 days, 23 hours, 33 minutes, 20 seconds.
-
To count from 1 to 146,313,348,104,000 would take you about eleven million, six hundred thirty thousand, seven hundred seventy-nine 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 146313348104000 cubic inches would be around 4391.2 feet tall.
Recreational maths with 146313348104000
- 146313348104000 backwards is 000401843313641
- The number of decimal digits it has is: 15
- The sum of 146313348104000's digits is 38
- More coming soon!
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The information we have on file for 146313348104000 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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