106788730944000
106,788,730,944,000 is an even composite number composed of seven prime numbers multiplied together.
106788730944000 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of two thousand, five hundred sixty divisors.
Prime factorization of 106788730944000:
29 × 3 × 53 × 73 × 73 × 97 × 229
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 5 × 7 × 7 × 7 × 73 × 97 × 229)See below for interesting mathematical facts about the number 106788730944000 from the Numbermatics database.
Names of 106788730944000
- Cardinal: 106788730944000 can be written as One hundred six trillion, seven hundred eighty-eight billion, seven hundred thirty million, nine hundred forty-four thousand.
Scientific notation
- Scientific notation: 1.06788730944 × 1014
Factors of 106788730944000
Divisors of 106788730944000
- Number of divisors d(n): 2560
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Complete list of divisors:
1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 25 28 30 32 35 40 42 48 49 50 56 60 64 70 73 75 80 84 96 97 98 100 105 112 120 125 128 140 146 147 150 160 168 175 192 194 196 200 210 219 224 229 240 245 250 256 280 291 292 294 300 320 336 343 350 365 375 384 388 392 400 420 438 448 458 480 485 490 500 511 512 525 560 582 584 588 600 640 672 679 686 687 700 730 735 750 768 776 784 800 840 875 876 896 916 960 970 980 1000 1022 1029 1050 1095 1120 1145 1164 1168 1176 1200 1225 1280 1344 1358 1372 1374 1400 1455 1460 1470 1500 1533 1536 1552 1568 1600 1603 1680 1715 1750 1752 1792 1825 1832 1920 1940 1960 2000 2037 2044 2058 2100 2190 2240 2290 2328 2336 2352 2400 2425 2450 2555 2560 2625 2688 2716 2744 2748 2800 2910 2920 2940 3000 3066 3104 3136 3200 3206 3360 3395 3430 3435 3500 3504 3577 3584 3650 3664 3675 3840 3880 3920 4000 4074 4088 4116 4200 4380 4480 4580 4656 4672 4704 4753 4800 4809 4850 4900 5110 5145 5250 5376 5432 5475 5488 5496 5600 5725 5820 5840 5880 6000 6125 6132 6208 6272 6400 6412 6720 6790 6860 6870 7000 7008 7081 7154 7275 7300 7328 7350 7665 7680 7760 7840 8000 8015 8148 8176 8232 8400 8575 8760 8960 9125 9160 9312 9344 9408 9506 9600 9618 9700 9800 10185 10220 10290 10500 10731 10752 10864 10950 10976 10992 11200 11221 11450 11640 11680 11760 12000 12125 12250 12264 12416 12544 12775 12800 12824 13440 13580 13720 13740 14000 14016 14162 14259 14308 14550 14600 14656 14700 15330 15520 15680 16000 16030 16296 16352 16464 16717 16800 16975 17150 17175 17520 17885 17920 18250 18320 18375 18624 18688 18816 19012 19200 19236 19400 19600 20370 20440 20580 21000 21243 21462 21728 21900 21952 21984 22213 22400 22442 22900 23280 23360 23520 23765 24000 24045 24250 24500 24528 24832 25039 25088 25550 25648 25725 26880 27160 27375 27440 27480 28000 28032 28324 28518 28616 28625 29100 29200 29312 29400 30660 31040 31360 32000 32060 32592 32704 32928 33271 33434 33600 33663 33950 34300 34350 35040 35405 35770 36375 36500 36640 36750 37248 37376 37632 38024 38325 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435872371200 444953045600 466326336000 476735406000 487619776000 508517766400 533943654720 544840464000 550457376000 556191307000 610221319680 635647208000 667429568400 711924872960 726453952000 731429664000 762776649600 834286960500 854309847552 889906091200 953470812000 1017035532800 1067887309440 1089680928000 1100914752000 1112382614000 1271294416000 1334859136800 1423849745920 1462859328000 1525553299200 1668573921000 1779812182400 1906941624000 2135774618880 2179361856000 2224765228000 2542588832000 2669718273600 3051106598400 3337147842000 3559624364800 3813883248000 4271549237760 4449530456000 5085177664000 5339436547200 6674295684000 7119248729600 7627766496000 8899060912000 10678873094400 13348591368000 15255532992000 17798121824000 21357746188800 26697182736000 35596243648000 53394365472000 106788730944000
- Sum of all divisors σ(n): 425898240768000
- Sum of proper divisors (its aliquot sum) s(n): 319109509824000
- 106788730944000 is an abundant number, because the sum of its proper divisors (319109509824000) is greater than itself. Its abundance is 212320778880000
Bases of 106788730944000
- Binary: 110000100011111101100000101111110111010000000002
- Hexadecimal: 0x611FB05FBA00
- Base-36: 11UQ2D785C
Squares and roots of 106788730944000
- 106788730944000 squared (1067887309440002) is 11403833056630023131136000000
- 106788730944000 cubed (1067887309440003) is 1217800860014756655503378733072384000000000
-
The
square root of 106788730944000 is 10333863.3116564883 -
The
cube root of 106788730944000 is 47443.3275641009
Scales and comparisons
How big is 106788730944000?- 106,788,730,944,000 seconds is equal to 3,395,551 years, 16 weeks, 6 days, 5 hours, 20 minutes.
-
To count from 1 to 106,788,730,944,000 would take you about eight million, four hundred eighty-eight thousand, eight hundred seventy-eight 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 106788730944000 cubic inches would be around 3953.6 feet tall.
Recreational maths with 106788730944000
- 106788730944000 backwards is 000449037887601
- The number of decimal digits it has is: 15
- The sum of 106788730944000's digits is 57
- More coming soon!
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The information we have on file for 106788730944000 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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