138322006400
138,322,006,400 is an even composite number composed of five prime numbers multiplied together.
138322006400 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one hundred ninety-two divisors.
Prime factorization of 138322006400:
27 × 52 × 19 × 367 × 6199
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 19 × 367 × 6199)See below for interesting mathematical facts about the number 138322006400 from the Numbermatics database.
Names of 138322006400
- Cardinal: 138322006400 can be written as One hundred thirty-eight billion, three hundred twenty-two million, six thousand, four hundred.
Scientific notation
- Scientific notation: 1.383220064 × 1011
Factors of 138322006400
Divisors of 138322006400
- Number of divisors d(n): 192
-
Complete list of divisors:
1 2 4 5 8 10 16 19 20 25 32 38 40 50 64 76 80 95 100 128 152 160 190 200 304 320 367 380 400 475 608 640 734 760 800 950 1216 1468 1520 1600 1835 1900 2432 2936 3040 3200 3670 3800 5872 6080 6199 6973 7340 7600 9175 11744 12160 12398 13946 14680 15200 18350 23488 24796 27892 29360 30400 30995 34865 36700 46976 49592 55784 58720 60800 61990 69730 73400 99184 111568 117440 117781 123980 139460 146800 154975 174325 198368 223136 234880 235562 247960 278920 293600 309950 348650 396736 446272 471124 495920 557840 587200 588905 619900 697300 793472 892544 942248 991840 1115680 1174400 1177810 1239800 1394600 1884496 1983680 2231360 2275033 2355620 2479600 2789200 2944525 3768992 3967360 4462720 4550066 4711240 4959200 5578400 5889050 7537984 9100132 9422480 9918400 11156800 11375165 11778100 15075968 18200264 18844960 19836800 22313600 22750330 23556200 36400528 37689920 43225627 45500660 47112400 56875825 72801056 75379840 86451254 91001320 94224800 113751650 145602112 172902508 182002640 188449600 216128135 227503300 291204224 345805016 364005280 376899200 432256270 455006600 691610032 728010560 864512540 910013200 1080640675 1383220064 1456021120 1729025080 1820026400 2161281350 2766440128 3458050160 3640052800 4322562700 5532880256 6916100320 7280105600 8645125400 13832200640 17290250800 27664401280 34580501600 69161003200 138322006400
- Sum of all divisors σ(n): 360720960000
- Sum of proper divisors (its aliquot sum) s(n): 222398953600
- 138322006400 is an abundant number, because the sum of its proper divisors (222398953600) is greater than itself. Its abundance is 84076947200
Bases of 138322006400
- Binary: 100000001101001010001001010001100000002
- Hexadecimal: 0x2034A25180
- Base-36: 1RJLCN7K
Squares and roots of 138322006400
- 138322006400 squared (1383220064002) is 19132977454521640960000
- 138322006400 cubed (1383220064003) is 2646511829915398129807622144000000
-
The
square root of 138322006400 is 371916.6659347225 -
The
cube root of 138322006400 is 5171.6654928151
Scales and comparisons
How big is 138322006400?- 138,322,006,400 seconds is equal to 4,398 years, 11 weeks, 3 hours, 33 minutes, 20 seconds.
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To count from 1 to 138,322,006,400 would take you about eight thousand, seven hundred ninety-six 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 138322006400 cubic inches would be around 431 feet tall.
Recreational maths with 138322006400
- 138322006400 backwards is 004600223831
- The number of decimal digits it has is: 12
- The sum of 138322006400's digits is 29
- More coming soon!
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