138791014400
138,791,014,400 is an even composite number composed of five prime numbers multiplied together.
What does the number 138791014400 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 312 divisors.
138791014400 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 138791014400:
212 × 52 × 89 × 97 × 157
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 89 × 97 × 157)See below for interesting mathematical facts about the number 138791014400 from the Numbermatics database.
Names of 138791014400
- Cardinal: 138791014400 can be written as One hundred thirty-eight billion, seven hundred ninety-one million, fourteen thousand, four hundred.
Scientific notation
- Scientific notation: 1.387910144 × 1011
Factors of 138791014400
Divisors of 138791014400
- Number of divisors d(n): 312
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Complete list of divisors:
1 2 4 5 8 10 16 20 25 32 40 50 64 80 89 97 100 128 157 160 178 194 200 256 314 320 356 388 400 445 485 512 628 640 712 776 785 800 890 970 1024 1256 1280 1424 1552 1570 1600 1780 1940 2048 2225 2425 2512 2560 2848 3104 3140 3200 3560 3880 3925 4096 4450 4850 5024 5120 5696 6208 6280 6400 7120 7760 7850 8633 8900 9700 10048 10240 11392 12416 12560 12800 13973 14240 15229 15520 15700 17266 17800 19400 20096 20480 22784 24832 25120 25600 27946 28480 30458 31040 31400 34532 35600 38800 40192 43165 45568 49664 50240 51200 55892 56960 60916 62080 62800 69064 69865 71200 76145 77600 80384 86330 91136 99328 100480 102400 111784 113920 121832 124160 125600 138128 139730 142400 152290 155200 160768 172660 182272 198656 200960 215825 223568 227840 243664 248320 251200 276256 279460 284800 304580 310400 321536 345320 349325 364544 380725 397312 401920 431650 447136 455680 487328 496640 502400 552512 558920 569600 609160 620800 643072 690640 698650 761450 803840 863300 894272 911360 974656 993280 1004800 1105024 1117840 1139200 1218320 1241600 1355381 1381280 1397300 1522900 1607680 1726600 1788544 1822720 1949312 1986560 2009600 2210048 2235680 2278400 2436640 2483200 2710762 2762560 2794600 3045800 3215360 3453200 3577088 3898624 4019200 4420096 4471360 4556800 4873280 4966400 5421524 5525120 5589200 6091600 6776905 6906400 7154176 7797248 8038400 8840192 8942720 9113600 9746560 9932800 10843048 11050240 11178400 12183200 13553810 13812800 14308352 15594496 16076800 17680384 17885440 19493120 21686096 22100480 22356800 24366400 27107620 27625600 28616704 31188992 33884525 35360768 35770880 38986240 43372192 44200960 44713600 48732800 54215240 55251200 57233408 62377984 67769050 71541760 77972480 86744384 88401920 89427200 97465600 108430480 110502400 135538100 143083520 155944960 173488768 176803840 178854400 194931200 216860960 221004800 271076200 286167040 311889920 346977536 357708800 389862400 433721920 442009600 542152400 693955072 715417600 779724800 867443840 884019200 1084304800 1387910144 1430835200 1559449600 1734887680 2168609600 2775820288 3469775360 4337219200 5551640576 6939550720 8674438400 13879101440 17348876800 27758202880 34697753600 69395507200 138791014400
- Sum of all divisors σ(n): 353854148760
- Sum of proper divisors (its aliquot sum) s(n): 215063134360
- 138791014400 is an abundant number, because the sum of its proper divisors (215063134360) is greater than itself. Its abundance is 76272119960
Bases of 138791014400
- Binary: 100000010100001001011011010000000000002
- Hexadecimal: 0x205096D000
- Base-36: 1RRCL43K
Squares and roots of 138791014400
- 138791014400 squared (1387910144002) is 19262945678181007360000
- 138791014400 cubed (1387910144003) is 2673523771006837958308265984000000
-
The
square root of 138791014400 is 372546.6607017167 -
The
cube root of 138791014400 is 5177.5040822225
Scales and comparisons
How big is 138791014400?- 138,791,014,400 seconds is equal to 4,413 years, 6 weeks, 3 days, 11 hours, 33 minutes, 20 seconds.
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To count from 1 to 138,791,014,400 would take you about eight thousand, eight hundred twenty-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 138791014400 cubic inches would be around 431.5 feet tall.
Recreational maths with 138791014400
- 138791014400 backwards is 004410197831
- The number of decimal digits it has is: 12
- The sum of 138791014400's digits is 38
- More coming soon!
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