12400742400
12,400,742,400 is an even composite number composed of five prime numbers multiplied together.
12400742400 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of three hundred twelve divisors.
Prime factorization of 12400742400:
212 × 3 × 52 × 37 × 1091
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 37 × 1091)See below for interesting mathematical facts about the number 12400742400 from the Numbermatics database.
Names of 12400742400
- Cardinal: 12400742400 can be written as Twelve billion, four hundred million, seven hundred forty-two thousand, four hundred.
Scientific notation
- Scientific notation: 1.24007424 × 1010
Factors of 12400742400
Divisors of 12400742400
- Number of divisors d(n): 312
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Complete list of divisors:
1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 37 40 48 50 60 64 74 75 80 96 100 111 120 128 148 150 160 185 192 200 222 240 256 296 300 320 370 384 400 444 480 512 555 592 600 640 740 768 800 888 925 960 1024 1091 1110 1184 1200 1280 1480 1536 1600 1776 1850 1920 2048 2182 2220 2368 2400 2560 2775 2960 3072 3200 3273 3552 3700 3840 4096 4364 4440 4736 4800 5120 5455 5550 5920 6144 6400 6546 7104 7400 7680 8728 8880 9472 9600 10240 10910 11100 11840 12288 12800 13092 14208 14800 15360 16365 17456 17760 18944 19200 20480 21820 22200 23680 25600 26184 27275 28416 29600 30720 32730 34912 35520 37888 38400 40367 43640 44400 47360 51200 52368 54550 56832 59200 61440 65460 69824 71040 75776 76800 80734 81825 87280 88800 94720 102400 104736 109100 113664 118400 121101 130920 139648 142080 151552 153600 161468 163650 174560 177600 189440 201835 209472 218200 227328 236800 242202 261840 279296 284160 307200 322936 327300 349120 355200 378880 403670 418944 436400 454656 473600 484404 523680 558592 568320 605505 645872 654600 698240 710400 757760 807340 837888 872800 947200 968808 1009175 1047360 1117184 1136640 1211010 1291744 1309200 1396480 1420800 1614680 1675776 1745600 1894400 1937616 2018350 2094720 2234368 2273280 2422020 2583488 2618400 2792960 2841600 3027525 3229360 3351552 3491200 3788800 3875232 4036700 4189440 4468736 4844040 5166976 5236800 5585920 5683200 6055050 6458720 6703104 6982400 7750464 8073400 8378880 9688080 10333952 10473600 11171840 11366400 12110100 12917440 13406208 13964800 15500928 16146800 16757760 19376160 20667904 20947200 22343680 24220200 25834880 27929600 31001856 32293600 33515520 38752320 41335808 41894400 48440400 51669760 55859200 62003712 64587200 67031040 77504640 82671616 83788800 96880800 103339520 111718400 124007424 129174400 155009280 165343232 167577600 193761600 206679040 248014848 258348800 310018560 335155200 387523200 413358080 496029696 516697600 620037120 775046400 826716160 1033395200 1240074240 1550092800 2066790400 2480148480 3100185600 4133580800 6200371200 12400742400
- Sum of all divisors σ(n): 42146823264
- Sum of proper divisors (its aliquot sum) s(n): 29746080864
- 12400742400 is an abundant number, because the sum of its proper divisors (29746080864) is greater than itself. Its abundance is 17345338464
Bases of 12400742400
- Binary: 10111000110010010001010000000000002
- Hexadecimal: 0x2E3245000
- Base-36: 5P32Y2O
Squares and roots of 12400742400
- 12400742400 squared (124007424002) is 153778412071157760000
- 12400742400 cubed (124007424003) is 1906966474775477851521024000000
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The
square root of 12400742400 is 111358.6206811129 -
The
cube root of 12400742400 is 2314.6352458329
Scales and comparisons
How big is 12400742400?- 12,400,742,400 seconds is equal to 394 years, 15 weeks, 6 days, 2 hours, 40 minutes.
-
To count from 1 to 12,400,742,400 would take you about seven hundred eighty-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 12400742400 cubic inches would be around 192.9 feet tall.
Recreational maths with 12400742400
- 12400742400 backwards is 00424700421
- 12400742400 is a
Harshad number . - The number of decimal digits it has is: 11
- The sum of 12400742400's digits is 24
- More coming soon!
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