138122400
138,122,400 is an even composite number composed of six prime numbers multiplied together.
138122400 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of two hundred eighty-eight divisors.
Prime factorization of 138122400:
25 × 3 × 52 × 13 × 19 × 233
(2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 13 × 19 × 233)See below for interesting mathematical facts about the number 138122400 from the Numbermatics database.
Names of 138122400
- Cardinal: 138122400 can be written as One hundred thirty-eight million, one hundred twenty-two thousand, four hundred.
Scientific notation
- Scientific notation: 1.381224 × 108
Factors of 138122400
Divisors of 138122400
- Number of divisors d(n): 288
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Complete list of divisors:
1 2 3 4 5 6 8 10 12 13 15 16 19 20 24 25 26 30 32 38 39 40 48 50 52 57 60 65 75 76 78 80 95 96 100 104 114 120 130 150 152 156 160 190 195 200 208 228 233 240 247 260 285 300 304 312 325 380 390 400 416 456 466 475 480 494 520 570 600 608 624 650 699 741 760 780 800 912 932 950 975 988 1040 1140 1165 1200 1235 1248 1300 1398 1425 1482 1520 1560 1824 1864 1900 1950 1976 2080 2280 2330 2400 2470 2600 2796 2850 2964 3029 3040 3120 3495 3705 3728 3800 3900 3952 4427 4560 4660 4940 5200 5592 5700 5825 5928 6058 6175 6240 6990 7410 7456 7600 7800 7904 8854 9087 9120 9320 9880 10400 11184 11400 11650 11856 12116 12350 13281 13980 14820 15145 15200 15600 17475 17708 18174 18525 18640 19760 22135 22368 22800 23300 23712 24232 24700 26562 27960 29640 30290 31200 34950 35416 36348 37050 37280 39520 44270 45435 45600 46600 48464 49400 53124 55920 57551 59280 60580 66405 69900 70832 72696 74100 75725 88540 90870 93200 96928 98800 106248 110675 111840 115102 118560 121160 132810 139800 141664 145392 148200 151450 172653 177080 181740 186400 197600 212496 221350 227175 230204 242320 265620 279600 287755 290784 296400 302900 332025 345306 354160 363480 424992 442700 454350 460408 484640 531240 559200 575510 592800 605800 664050 690612 708320 726960 863265 885400 908700 920816 1062480 1151020 1211600 1328100 1381224 1438775 1453920 1726530 1770800 1817400 1841632 2124960 2302040 2423200 2656200 2762448 2877550 3453060 3541600 3634800 4316325 4604080 5312400 5524896 5755100 6906120 7269600 8632650 9208160 10624800 11510200 13812240 17265300 23020400 27624480 34530600 46040800 69061200 138122400
- Sum of all divisors σ(n): 511842240
- Sum of proper divisors (its aliquot sum) s(n): 373719840
- 138122400 is an abundant number, because the sum of its proper divisors (373719840) is greater than itself. Its abundance is 235597440
Bases of 138122400
- Binary: 10000011101110010100101000002
- Hexadecimal: 0x83B94A0
- Base-36: 2A8FXC
Squares and roots of 138122400
- 138122400 squared (1381224002) is 19077797381760000
- 138122400 cubed (1381224003) is 2635071161082407424000000
-
The
square root of 138122400 is 11752.5486597589 -
The
cube root of 138122400 is 516.9176627619
Scales and comparisons
How big is 138122400?- 138,122,400 seconds is equal to 4 years, 20 weeks, 2 days, 15 hours, 20 minutes.
-
To count from 1 to 138,122,400 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 138122400 cubic inches would be around 43.1 feet tall.
Recreational maths with 138122400
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