138864314400
138,864,314,400 is an even composite number composed of five prime numbers multiplied together.
What does the number 138864314400 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 216 divisors.
138864314400 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of two hundred sixteen divisors.
Prime factorization of 138864314400:
25 × 3 × 52 × 72 × 1180819
(2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 7 × 7 × 1180819)See below for interesting mathematical facts about the number 138864314400 from the Numbermatics database.
Names of 138864314400
- Cardinal: 138864314400 can be written as One hundred thirty-eight billion, eight hundred sixty-four million, three hundred fourteen thousand, four hundred.
Scientific notation
- Scientific notation: 1.388643144 × 1011
Factors of 138864314400
Divisors of 138864314400
- Number of divisors d(n): 216
-
Complete list of divisors:
1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 25 28 30 32 35 40 42 48 49 50 56 60 70 75 80 84 96 98 100 105 112 120 140 147 150 160 168 175 196 200 210 224 240 245 280 294 300 336 350 392 400 420 480 490 525 560 588 600 672 700 735 784 800 840 980 1050 1120 1176 1200 1225 1400 1470 1568 1680 1960 2100 2352 2400 2450 2800 2940 3360 3675 3920 4200 4704 4900 5600 5880 7350 7840 8400 9800 11760 14700 16800 19600 23520 29400 39200 58800 117600 1180819 2361638 3542457 4723276 5904095 7084914 8265733 9446552 11808190 14169828 16531466 17712285 18893104 23616380 24797199 28339656 29520475 33062932 35424570 37786208 41328665 47232760 49594398 56679312 57860131 59040950 66125864 70849140 82657330 88561425 94465520 99188796 113358624 115720262 118081900 123985995 132251728 141698280 165314660 173580393 177122850 188931040 198377592 206643325 231440524 236163800 247971990 264503456 283396560 289300655 330629320 347160786 354245700 396755184 413286650 462881048 472327600 495943980 566793120 578601310 619929975 661258640 694321572 708491400 793510368 826573300 867901965 925762096 944655200 991887960 1157202620 1239859950 1322517280 1388643144 1416982800 1446503275 1653146600 1735803930 1851524192 1983775920 2314405240 2479719900 2777286288 2833965600 2893006550 3306293200 3471607860 3967551840 4339509825 4628810480 4959439800 5554572576 5786013100 6612586400 6943215720 8679019650 9257620960 9918879600 11572026200 13886431440 17358039300 19837759200 23144052400 27772862880 34716078600 46288104800 69432157200 138864314400
- Sum of all divisors σ(n): 525800252880
- Sum of proper divisors (its aliquot sum) s(n): 386935938480
- 138864314400 is an abundant number, because the sum of its proper divisors (386935938480) is greater than itself. Its abundance is 248071624080
Bases of 138864314400
- Binary: 100000010101001111010101001000001000002
- Hexadecimal: 0x2054F54820
- Base-36: 1RSK86QO
Squares and roots of 138864314400
- 138864314400 squared (1388643144002) is 19283297813782047360000
- 138864314400 cubed (1388643144003) is 2677761930281862877674729984000000
-
The
square root of 138864314400 is 372645.0246548315 -
The
cube root of 138864314400 is 5178.4153906377
Scales and comparisons
How big is 138864314400?- 138,864,314,400 seconds is equal to 4,415 years, 23 weeks, 4 days, 20 hours, 40 minutes.
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To count from 1 to 138,864,314,400 would take you about eight thousand, eight hundred thirty 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 138864314400 cubic inches would be around 431.5 feet tall.
Recreational maths with 138864314400
- 138864314400 backwards is 004413468831
- 138864314400 is a
Harshad number . - The number of decimal digits it has is: 12
- The sum of 138864314400's digits is 42
- More coming soon!
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