13628144400
13,628,144,400 is an even composite number composed of six prime numbers multiplied together.
13628144400 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of three hundred sixty divisors.
Prime factorization of 13628144400:
24 × 3 × 52 × 13 × 532 × 311
(2 × 2 × 2 × 2 × 3 × 5 × 5 × 13 × 53 × 53 × 311)See below for interesting mathematical facts about the number 13628144400 from the Numbermatics database.
Names of 13628144400
- Cardinal: 13628144400 can be written as Thirteen billion, six hundred twenty-eight million, one hundred forty-four thousand, four hundred.
Scientific notation
- Scientific notation: 1.36281444 × 1010
Factors of 13628144400
Divisors of 13628144400
- Number of divisors d(n): 360
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Complete list of divisors:
1 2 3 4 5 6 8 10 12 13 15 16 20 24 25 26 30 39 40 48 50 52 53 60 65 75 78 80 100 104 106 120 130 150 156 159 195 200 208 212 240 260 265 300 311 312 318 325 390 400 424 520 530 600 622 624 636 650 689 780 795 848 933 975 1040 1060 1200 1244 1272 1300 1325 1378 1555 1560 1590 1866 1950 2067 2120 2488 2544 2600 2650 2756 2809 3110 3120 3180 3445 3732 3900 3975 4043 4134 4240 4665 4976 5200 5300 5512 5618 6220 6360 6890 7464 7775 7800 7950 8086 8268 8427 9330 10335 10600 11024 11236 12129 12440 12720 13780 14045 14928 15550 15600 15900 16172 16483 16536 16854 17225 18660 20215 20670 21200 22472 23325 24258 24880 27560 28090 31100 31800 32344 32966 33072 33708 34450 36517 37320 40430 41340 42135 44944 46650 48516 49449 51675 55120 56180 60645 62200 63600 64688 65932 67416 68900 70225 73034 74640 80860 82415 82680 84270 93300 97032 98898 101075 103350 109551 112360 121290 124400 131864 134832 137800 140450 146068 161720 164830 165360 168540 182585 186600 194064 197796 202150 206700 210675 214279 219102 224720 242580 247245 263728 275600 280900 292136 303225 323440 329660 337080 365170 373200 395592 404300 412075 413400 421350 428558 438204 485160 494490 547755 561800 584272 606450 642837 659320 674160 730340 791184 808600 824150 826800 842700 857116 873599 876408 912925 970320 988980 1071395 1095510 1123600 1212900 1236225 1285674 1318640 1460680 1617200 1648300 1685400 1714232 1747198 1752816 1825850 1977960 2142790 2191020 2425800 2472450 2571348 2620797 2738775 2921360 3214185 3296600 3370800 3428464 3494396 3651700 3955920 4285580 4367995 4382040 4851600 4944900 5142696 5241594 5356975 5477550 6428370 6593200 6988792 7303400 8571160 8735990 8764080 9889800 10285392 10483188 10713950 10955100 11356787 12856740 13103985 13977584 14606800 16070925 17142320 17471980 19779600 20966376 21427900 21839975 21910200 22713574 25713480 26207970 32141850 34070361 34943960 41932752 42855800 43679950 43820400 45427148 51426960 52415940 56783935 64283700 65519925 68140722 69887920 85711600 87359900 90854296 104831880 113567870 128567400 131039850 136281444 170351805 174719800 181708592 209663760 227135740 257134800 262079700 272562888 283919675 340703610 349439600 454271480 524159400 545125776 567839350 681407220 851759025 908542960 1048318800 1135678700 1362814440 1703518050 2271357400 2725628880 3407036100 4542714800 6814072200 13628144400
- Sum of all divisors σ(n): 48071464896
- Sum of proper divisors (its aliquot sum) s(n): 34443320496
- 13628144400 is an abundant number, because the sum of its proper divisors (34443320496) is greater than itself. Its abundance is 20815176096
Bases of 13628144400
- Binary: 11001011000100110011111011000100002
- Hexadecimal: 0x32C4CFB10
- Base-36: 69DUFIO
Squares and roots of 13628144400
- 13628144400 squared (136281444002) is 185726319787251360000
- 13628144400 cubed (136281444003) is 2531105104941238813176384000000
-
The
square root of 13628144400 is 116739.6436520173 -
The
cube root of 13628144400 is 2388.6118115113
Scales and comparisons
How big is 13628144400?- 13,628,144,400 seconds is equal to 433 years, 17 weeks, 2 days, 3 hours, 40 minutes.
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To count from 1 to 13,628,144,400 would take you about eight hundred sixty-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 13628144400 cubic inches would be around 199.1 feet tall.
Recreational maths with 13628144400
- 13628144400 backwards is 00444182631
- The number of decimal digits it has is: 11
- The sum of 13628144400's digits is 33
- More coming soon!
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