138316435200
138,316,435,200 is an even composite number composed of five prime numbers multiplied together.
138316435200 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of three hundred twenty-four divisors.
Prime factorization of 138316435200:
28 × 32 × 52 × 181 × 13267
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 5 × 181 × 13267)See below for interesting mathematical facts about the number 138316435200 from the Numbermatics database.
Names of 138316435200
- Cardinal: 138316435200 can be written as One hundred thirty-eight billion, three hundred sixteen million, four hundred thirty-five thousand, two hundred.
Scientific notation
- Scientific notation: 1.383164352 × 1011
Factors of 138316435200
Divisors of 138316435200
- Number of divisors d(n): 324
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 25 30 32 36 40 45 48 50 60 64 72 75 80 90 96 100 120 128 144 150 160 180 181 192 200 225 240 256 288 300 320 360 362 384 400 450 480 543 576 600 640 720 724 768 800 900 905 960 1086 1152 1200 1280 1440 1448 1600 1629 1800 1810 1920 2172 2304 2400 2715 2880 2896 3200 3258 3600 3620 3840 4344 4525 4800 5430 5760 5792 6400 6516 7200 7240 8145 8688 9050 9600 10860 11520 11584 13032 13267 13575 14400 14480 16290 17376 18100 19200 21720 23168 26064 26534 27150 28800 28960 32580 34752 36200 39801 40725 43440 46336 52128 53068 54300 57600 57920 65160 66335 69504 72400 79602 81450 86880 104256 106136 108600 115840 119403 130320 132670 139008 144800 159204 162900 173760 199005 208512 212272 217200 231680 238806 260640 265340 289600 318408 325800 331675 347520 398010 417024 424544 434400 477612 521280 530680 579200 597015 636816 651600 663350 695040 796020 849088 868800 955224 995025 1042560 1061360 1158400 1194030 1273632 1303200 1326700 1592040 1698176 1737600 1910448 1990050 2085120 2122720 2388060 2401327 2547264 2606400 2653400 2985075 3184080 3396352 3475200 3820896 3980100 4245440 4776120 4802654 5094528 5212800 5306800 5970150 6368160 7203981 7641792 7960200 8490880 9552240 9605308 10189056 10425600 10613600 11940300 12006635 12736320 14407962 15283584 15920400 16981760 19104480 19210616 21227200 21611943 23880600 24013270 25472640 28815924 30567168 31840800 36019905 38208960 38421232 42454400 43223886 47761200 48026540 50945280 57631848 60033175 63681600 72039810 76417920 76842464 84908800 86447772 95522400 96053080 108059715 115263696 120066350 127363200 144079620 152835840 153684928 172895544 180099525 191044800 192106160 216119430 230527392 240132700 254726400 288159240 307369856 345791088 360199050 382089600 384212320 432238860 461054784 480265400 540298575 576318480 614739712 691582176 720398100 764179200 768424640 864477720 922109568 960530800 1080597150 1152636960 1383164352 1440796200 1536849280 1728955440 1844219136 1921061600 2161194300 2305273920 2766328704 2881592400 3073698560 3457910880 3842123200 4322388600 4610547840 5532657408 5763184800 6915821760 7684246400 8644777200 9221095680 11526369600 13831643520 15368492800 17289554400 23052739200 27663287040 34579108800 46105478400 69158217600 138316435200
- Sum of all divisors σ(n): 497282066008
- Sum of proper divisors (its aliquot sum) s(n): 358965630808
- 138316435200 is an abundant number, because the sum of its proper divisors (358965630808) is greater than itself. Its abundance is 220649195608
Bases of 138316435200
- Binary: 100000001101000100110101001111000000002
- Hexadecimal: 0x20344D4F00
- Base-36: 1RJI18G0
Squares and roots of 138316435200
- 138316435200 squared (1383164352002) is 19131436246435799040000
- 138316435200 cubed (1383164352003) is 2646192061863068428876382208000000
-
The
square root of 138316435200 is 371909.1760094123 -
The
cube root of 138316435200 is 5171.5960587693
Scales and comparisons
How big is 138316435200?- 138,316,435,200 seconds is equal to 4,398 years, 1 week, 5 days, 16 hours.
-
To count from 1 to 138,316,435,200 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 138316435200 cubic inches would be around 431 feet tall.
Recreational maths with 138316435200
- 138316435200 backwards is 002534613831
- 138316435200 is a
Harshad number . - The number of decimal digits it has is: 12
- The sum of 138316435200's digits is 36
- More coming soon!
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