23126131200
23,126,131,200 is an even composite number composed of six prime numbers multiplied together.
What does the number 23126131200 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 480 divisors.
23126131200 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of four hundred eighty divisors.
Prime factorization of 23126131200:
29 × 3 × 52 × 19 × 29 × 1093
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 19 × 29 × 1093)See below for interesting mathematical facts about the number 23126131200 from the Numbermatics database.
Names of 23126131200
- Cardinal: 23126131200 can be written as Twenty-three billion, one hundred twenty-six million, one hundred thirty-one thousand, two hundred.
Scientific notation
- Scientific notation: 2.31261312 × 1010
Factors of 23126131200
Divisors of 23126131200
- Number of divisors d(n): 480
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Complete list of divisors:
1 2 3 4 5 6 8 10 12 15 16 19 20 24 25 29 30 32 38 40 48 50 57 58 60 64 75 76 80 87 95 96 100 114 116 120 128 145 150 152 160 174 190 192 200 228 232 240 256 285 290 300 304 320 348 380 384 400 435 456 464 475 480 512 551 570 580 600 608 640 696 725 760 768 800 870 912 928 950 960 1093 1102 1140 1160 1200 1216 1280 1392 1425 1450 1520 1536 1600 1653 1740 1824 1856 1900 1920 2175 2186 2204 2280 2320 2400 2432 2560 2755 2784 2850 2900 3040 3200 3279 3306 3480 3648 3712 3800 3840 4350 4372 4408 4560 4640 4800 4864 5465 5510 5568 5700 5800 6080 6400 6558 6612 6960 7296 7424 7600 7680 8265 8700 8744 8816 9120 9280 9600 9728 10930 11020 11136 11400 11600 12160 12800 13116 13224 13775 13920 14592 14848 15200 16395 16530 17400 17488 17632 18240 18560 19200 20767 21860 22040 22272 22800 23200 24320 26232 26448 27325 27550 27840 29184 30400 31697 32790 33060 34800 34976 35264 36480 37120 38400 41325 41534 43720 44080 44544 45600 46400 48640 52464 52896 54650 55100 55680 60800 62301 63394 65580 66120 69600 69952 70528 72960 74240 81975 82650 83068 87440 88160 91200 92800 95091 103835 104928 105792 109300 110200 111360 121600 124602 126788 131160 132240 139200 139904 141056 145920 158485 163950 165300 166136 174880 176320 182400 185600 190182 207670 209856 211584 218600 220400 222720 243200 249204 253576 262320 264480 278400 279808 282112 311505 316970 327900 330600 332272 349760 352640 364800 371200 380364 415340 419712 423168 437200 440800 475455 498408 507152 519175 524640 528960 556800 559616 602243 623010 633940 655800 661200 664544 699520 705280 729600 760728 792425 830680 839424 846336 874400 881600 950910 996816 1014304 1038350 1049280 1057920 1113600 1204486 1246020 1267880 1311600 1322400 1329088 1399040 1410560 1521456 1557525 1584850 1661360 1678848 1748800 1763200 1806729 1901820 1993632 2028608 2076700 2098560 2115840 2377275 2408972 2492040 2535760 2623200 2644800 2658176 2798080 3011215 3042912 3115050 3169700 3322720 3497600 3526400 3613458 3803640 3987264 4057216 4153400 4197120 4231680 4754550 4817944 4984080 5071520 5246400 5289600 5316352 6022430 6085824 6230100 6339400 6645440 6995200 7052800 7226916 7607280 7974528 8114432 8306800 8394240 9033645 9509100 9635888 9968160 10143040 10492800 10579200 10632704 12044860 12171648 12460200 12678800 13290880 13990400 14453832 15056075 15214560 15949056 16228864 16613600 18067290 19018200 19271776 19936320 20286080 20985600 21158400 24089720 24343296 24920400 25357600 26581760 28907664 30112150 30429120 31898112 33227200 36134580 38036400 38543552 39872640 40572160 41971200 45168225 48179440 48686592 49840800 50715200 53163520 57815328 60224300 60858240 66454400 72269160 76072800 77087104 79745280 81144320 90336450 96358880 99681600 101430400 115630656 120448600 121716480 132908800 144538320 152145600 154174208 159490560 180672900 192717760 199363200 202860800 231261312 240897200 243432960 265817600 289076640 304291200 308348416 361345800 385435520 398726400 405721600 462522624 481794400 578153280 608582400 722691600 770871040 797452800 925045248 963588800 1156306560 1217164800 1445383200 1541742080 1927177600 2312613120 2890766400 3854355200 4625226240 5781532800 7708710400 11563065600 23126131200
- Sum of all divisors σ(n): 83265652800
- Sum of proper divisors (its aliquot sum) s(n): 60139521600
- 23126131200 is an abundant number, because the sum of its proper divisors (60139521600) is greater than itself. Its abundance is 37013390400
Bases of 23126131200
- Binary: 101011000100110110011000010000000002
- Hexadecimal: 0x5626CC200
- Base-36: AMGP91C
Squares and roots of 23126131200
- 23126131200 squared (231261312002) is 534817944279613440000
- 23126131200 cubed (231261312003) is 12368269947524629898723328000000
-
The
square root of 23126131200 is 152072.7825746607 -
The
cube root of 23126131200 is 2849.0560616651
Scales and comparisons
How big is 23126131200?- 23,126,131,200 seconds is equal to 735 years, 17 weeks, 4 days, 13 hours, 20 minutes.
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To count from 1 to 23,126,131,200 would take you about one thousand, four hundred seventy 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 23126131200 cubic inches would be around 237.4 feet tall.
Recreational maths with 23126131200
- 23126131200 backwards is 00213162132
- The number of decimal digits it has is: 11
- The sum of 23126131200's digits is 21
- More coming soon!
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