268428640
268,428,640 is an even composite number composed of six prime numbers multiplied together.
268428640 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one hundred ninety-two divisors.
Prime factorization of 268428640:
25 × 5 × 17 × 29 × 41 × 83
(2 × 2 × 2 × 2 × 2 × 5 × 17 × 29 × 41 × 83)See below for interesting mathematical facts about the number 268428640 from the Numbermatics database.
Names of 268428640
- Cardinal: 268428640 can be written as Two hundred sixty-eight million, four hundred twenty-eight thousand, six hundred forty.
Scientific notation
- Scientific notation: 2.6842864 × 108
Factors of 268428640
Divisors of 268428640
- Number of divisors d(n): 192
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Complete list of divisors:
1 2 4 5 8 10 16 17 20 29 32 34 40 41 58 68 80 82 83 85 116 136 145 160 164 166 170 205 232 272 290 328 332 340 410 415 464 493 544 580 656 664 680 697 820 830 928 986 1160 1189 1312 1328 1360 1394 1411 1640 1660 1972 2320 2378 2407 2465 2656 2720 2788 2822 3280 3320 3403 3485 3944 4640 4756 4814 4930 5576 5644 5945 6560 6640 6806 6970 7055 7888 9512 9628 9860 11152 11288 11890 12035 13280 13612 13940 14110 15776 17015 19024 19256 19720 20213 22304 22576 23780 24070 27224 27880 28220 34030 38048 38512 39440 40426 40919 45152 47560 48140 54448 55760 56440 57851 68060 77024 78880 80852 81838 95120 96280 98687 101065 108896 111520 112880 115702 136120 161704 163676 190240 192560 197374 202130 204595 225760 231404 272240 289255 323408 327352 385120 394748 404260 409190 462808 493435 544480 578510 646816 654704 789496 808520 818380 925616 986870 1157020 1309408 1578992 1617040 1636760 1677679 1851232 1973740 2314040 3157984 3234080 3273520 3355358 3947480 4628080 6547040 6710716 7894960 8388395 9256160 13421432 15789920 16776790 26842864 33553580 53685728 67107160 134214320 268428640
- Sum of all divisors σ(n): 720135360
- Sum of proper divisors (its aliquot sum) s(n): 451706720
- 268428640 is an abundant number, because the sum of its proper divisors (451706720) is greater than itself. Its abundance is 183278080
Bases of 268428640
- Binary: 11111111111111100101011000002
- Hexadecimal: 0xFFFE560
- Base-36: 4FTCV4
Squares and roots of 268428640
- 268428640 squared (2684286402) is 72053934772249600
- 268428640 cubed (2684286403) is 19341339717563669868544000
-
The
square root of 268428640 is 16383.7919908671 -
The
cube root of 268428640 is 645.0741176371
Scales and comparisons
How big is 268428640?- 268,428,640 seconds is equal to 8 years, 27 weeks, 5 days, 19 hours, 30 minutes, 40 seconds.
-
To count from 1 to 268,428,640 would take you about twelve 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 268428640 cubic inches would be around 53.8 feet tall.
Recreational maths with 268428640
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