390128200
390,128,200 is an even composite number composed of five prime numbers multiplied together.
390128200 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of two hundred eighty-eight divisors.
Prime factorization of 390128200:
23 × 52 × 73 × 112 × 47
(2 × 2 × 2 × 5 × 5 × 7 × 7 × 7 × 11 × 11 × 47)See below for interesting mathematical facts about the number 390128200 from the Numbermatics database.
Names of 390128200
- Cardinal: 390128200 can be written as Three hundred ninety million, one hundred twenty-eight thousand, two hundred.
Scientific notation
- Scientific notation: 3.901282 × 108
Factors of 390128200
Divisors of 390128200
- Number of divisors d(n): 288
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Complete list of divisors:
1 2 4 5 7 8 10 11 14 20 22 25 28 35 40 44 47 49 50 55 56 70 77 88 94 98 100 110 121 140 154 175 188 196 200 220 235 242 245 275 280 308 329 343 350 376 385 392 440 470 484 490 517 539 550 605 616 658 686 700 770 847 940 968 980 1034 1078 1100 1175 1210 1225 1316 1372 1400 1540 1645 1694 1715 1880 1925 1960 2068 2156 2200 2303 2350 2420 2450 2585 2632 2695 2744 3025 3080 3290 3388 3430 3619 3773 3850 4136 4235 4312 4606 4700 4840 4900 5170 5390 5687 5929 6050 6580 6776 6860 7238 7546 7700 8225 8470 8575 9212 9400 9800 10340 10780 11374 11515 11858 12100 12925 13160 13475 13720 14476 15092 15400 16121 16450 16940 17150 18095 18424 18865 20680 21175 21560 22748 23030 23716 24200 25333 25850 26950 28435 28952 29645 30184 32242 32900 33880 34300 36190 37730 39809 41503 42350 45496 46060 47432 50666 51700 53900 56870 57575 59290 64484 65800 68600 72380 75460 79618 80605 83006 84700 90475 92120 94325 101332 103400 107800 113740 115150 118580 126665 128968 142175 144760 148225 150920 159236 161210 166012 169400 177331 180950 188650 199045 202664 207515 227480 230300 237160 253330 278663 284350 296450 318472 322420 332024 354662 361900 377300 398090 403025 415030 460600 506660 557326 568700 592900 633325 644840 709324 723800 754600 796180 806050 830060 886655 995225 1013320 1037575 1114652 1137400 1185800 1266650 1393315 1418648 1592360 1612100 1660120 1773310 1950641 1990450 2075150 2229304 2533300 2786630 3224200 3546620 3901282 3980900 4150300 4433275 5066600 5573260 6966575 7093240 7802564 7961800 8300600 8866550 9753205 11146520 13933150 15605128 17733100 19506410 27866300 35466200 39012820 48766025 55732600 78025640 97532050 195064100 390128200
- Sum of all divisors σ(n): 1187424000
- Sum of proper divisors (its aliquot sum) s(n): 797295800
- 390128200 is an abundant number, because the sum of its proper divisors (797295800) is greater than itself. Its abundance is 407167600
Bases of 390128200
- Binary: 101110100000011100010010010002
- Hexadecimal: 0x1740E248
- Base-36: 6G9SUG
Squares and roots of 390128200
- 390128200 squared (3901282002) is 152200012435240000
- 390128200 cubed (3901282003) is 59377516891337797768000000
-
The
square root of 390128200 is 19751.6632211063 -
The
cube root of 390128200 is 730.6944039869
Scales and comparisons
How big is 390128200?- 390,128,200 seconds is equal to 12 years, 21 weeks, 8 hours, 56 minutes, 40 seconds.
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To count from 1 to 390,128,200 would take you about eighteen 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 390128200 cubic inches would be around 60.9 feet tall.
Recreational maths with 390128200
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