13345057600
13,345,057,600 is an even composite number composed of six prime numbers multiplied together.
What does the number 13345057600 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 336 divisors.
13345057600 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of three hundred thirty-six divisors.
Prime factorization of 13345057600:
26 × 52 × 7 × 29 × 181 × 227
(2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 7 × 29 × 181 × 227)See below for interesting mathematical facts about the number 13345057600 from the Numbermatics database.
Names of 13345057600
- Cardinal: 13345057600 can be written as Thirteen billion, three hundred forty-five million, fifty-seven thousand, six hundred.
Scientific notation
- Scientific notation: 1.33450576 × 1010
Factors of 13345057600
Divisors of 13345057600
- Number of divisors d(n): 336
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Complete list of divisors:
1 2 4 5 7 8 10 14 16 20 25 28 29 32 35 40 50 56 58 64 70 80 100 112 116 140 145 160 175 181 200 203 224 227 232 280 290 320 350 362 400 406 448 454 464 560 580 700 724 725 800 812 905 908 928 1015 1120 1135 1160 1267 1400 1448 1450 1589 1600 1624 1810 1816 1856 2030 2240 2270 2320 2534 2800 2896 2900 3178 3248 3620 3632 4060 4525 4540 4640 5068 5075 5249 5600 5675 5792 5800 6335 6356 6496 6583 7240 7264 7945 8120 9050 9080 9280 10136 10150 10498 11200 11350 11584 11600 12670 12712 12992 13166 14480 14528 15890 16240 18100 18160 20272 20300 20996 22700 23200 25340 25424 26245 26332 28960 31675 31780 32480 32915 36200 36320 36743 39725 40544 40600 41087 41992 45400 46081 46400 50680 50848 52490 52664 57920 63350 63560 64960 65830 72400 72640 73486 79450 81088 81200 82174 83984 90800 92162 101360 101696 104980 105328 126700 127120 131225 131660 144800 146972 158900 162400 164348 164575 167968 181600 183715 184324 202720 205435 209960 210656 230405 253400 254240 262450 263320 287609 289600 293944 317800 324800 328696 329150 335936 363200 367430 368648 405440 410870 419920 421312 460810 506800 508480 524900 526640 575218 587888 635600 657392 658300 734860 737296 821740 839840 918575 921620 1013600 1027175 1049800 1053280 1150436 1152025 1175776 1191523 1271200 1314784 1316600 1438045 1469720 1474592 1643480 1679680 1837150 1843240 2027200 2054350 2099600 2106560 2300872 2304050 2351552 2383046 2542400 2629568 2633200 2876090 2939440 2949184 3286960 3674300 3686480 4108700 4199200 4601744 4608100 4766092 5266400 5752180 5878880 5957615 6573920 7190225 7348600 7372960 8217400 8340661 8398400 9203488 9216200 9532184 10532800 11504360 11757760 11915230 13147840 14380450 14697200 14745920 16434800 16681322 18406976 18432400 19064368 23008720 23830460 28760900 29394400 29788075 32869600 33362644 36864800 38128736 41703305 46017440 47660920 57521800 58788800 59576150 65739200 66725288 73729600 76257472 83406610 92034880 95321840 115043600 119152300 133450576 166813220 190643680 208516525 230087200 238304600 266901152 333626440 381287360 417033050 460174400 476609200 533802304 667252880 834066100 953218400 1334505760 1668132200 1906436800 2669011520 3336264400 6672528800 13345057600
- Sum of all divisors σ(n): 39208740480
- Sum of proper divisors (its aliquot sum) s(n): 25863682880
- 13345057600 is an abundant number, because the sum of its proper divisors (25863682880) is greater than itself. Its abundance is 12518625280
Bases of 13345057600
- Binary: 11000110110110110101101011010000002
- Hexadecimal: 0x31B6D6B40
- Base-36: 64PAWCG
Squares and roots of 13345057600
- 13345057600 squared (133450576002) is 178090562347317760000
- 13345057600 cubed (133450576003) is 2376628812541346712702976000000
-
The
square root of 13345057600 is 115520.8102464659 -
The
cube root of 13345057600 is 2371.9570321343
Scales and comparisons
How big is 13345057600?- 13,345,057,600 seconds is equal to 424 years, 17 weeks, 1 day, 16 hours, 26 minutes, 40 seconds.
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To count from 1 to 13,345,057,600 would take you about eight hundred forty-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 13345057600 cubic inches would be around 197.7 feet tall.
Recreational maths with 13345057600
- 13345057600 backwards is 00675054331
- The number of decimal digits it has is: 11
- The sum of 13345057600's digits is 34
- More coming soon!
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