138101600
138,101,600 is an even composite number composed of five prime numbers multiplied together.
138101600 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 138101600:
25 × 52 × 72 × 13 × 271
(2 × 2 × 2 × 2 × 2 × 5 × 5 × 7 × 7 × 13 × 271)See below for interesting mathematical facts about the number 138101600 from the Numbermatics database.
Names of 138101600
- Cardinal: 138101600 can be written as One hundred thirty-eight million, one hundred one thousand, six hundred.
Scientific notation
- Scientific notation: 1.381016 × 108
Factors of 138101600
Divisors of 138101600
- Number of divisors d(n): 216
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Complete list of divisors:
1 2 4 5 7 8 10 13 14 16 20 25 26 28 32 35 40 49 50 52 56 65 70 80 91 98 100 104 112 130 140 160 175 182 196 200 208 224 245 260 271 280 325 350 364 392 400 416 455 490 520 542 560 637 650 700 728 784 800 910 980 1040 1084 1120 1225 1274 1300 1355 1400 1456 1568 1820 1897 1960 2080 2168 2275 2450 2548 2600 2710 2800 2912 3185 3523 3640 3794 3920 4336 4550 4900 5096 5200 5420 5600 6370 6775 7046 7280 7588 7840 8672 9100 9485 9800 10192 10400 10840 12740 13279 13550 14092 14560 15176 15925 17615 18200 18970 19600 20384 21680 24661 25480 26558 27100 28184 30352 31850 35230 36400 37940 39200 43360 47425 49322 50960 53116 54200 56368 60704 63700 66395 70460 72800 75880 88075 94850 98644 101920 106232 108400 112736 123305 127400 132790 140920 151760 172627 176150 189700 197288 212464 216800 246610 254800 265580 281840 303520 331975 345254 352300 379400 394576 424928 493220 509600 531160 563680 616525 663950 690508 704600 758800 789152 863135 986440 1062320 1233050 1327900 1381016 1409200 1517600 1726270 1972880 2124640 2466100 2655800 2762032 2818400 3452540 3945760 4315675 4932200 5311600 5524064 6905080 8631350 9864400 10623200 13810160 17262700 19728800 27620320 34525400 69050800 138101600
- Sum of all divisors σ(n): 423910368
- Sum of proper divisors (its aliquot sum) s(n): 285808768
- 138101600 is an abundant number, because the sum of its proper divisors (285808768) is greater than itself. Its abundance is 147707168
Bases of 138101600
- Binary: 10000011101101000011011000002
- Hexadecimal: 0x83B4360
- Base-36: 2A7ZVK
Squares and roots of 138101600
- 138101600 squared (1381016002) is 19072051922560000
- 138101600 cubed (1381016003) is 2633880885788612096000000
-
The
square root of 138101600 is 11751.6637120029 -
The
cube root of 138101600 is 516.8917137311
Scales and comparisons
How big is 138101600?- 138,101,600 seconds is equal to 4 years, 20 weeks, 2 days, 9 hours, 33 minutes, 20 seconds.
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To count from 1 to 138,101,600 would take you about 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 138101600 cubic inches would be around 43.1 feet tall.
Recreational maths with 138101600
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