68448120
68,448,120 is an even composite number composed of seven prime numbers multiplied together.
68448120 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of two hundred fifty-six divisors.
Prime factorization of 68448120:
23 × 3 × 5 × 13 × 17 × 29 × 89
(2 × 2 × 2 × 3 × 5 × 13 × 17 × 29 × 89)See below for interesting mathematical facts about the number 68448120 from the Numbermatics database.
Names of 68448120
- Cardinal: 68448120 can be written as Sixty-eight million, four hundred forty-eight thousand, one hundred twenty.
Scientific notation
- Scientific notation: 6.844812 × 107
Factors of 68448120
Divisors of 68448120
- Number of divisors d(n): 256
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Complete list of divisors:
1 2 3 4 5 6 8 10 12 13 15 17 20 24 26 29 30 34 39 40 51 52 58 60 65 68 78 85 87 89 102 104 116 120 130 136 145 156 170 174 178 195 204 221 232 255 260 267 290 312 340 348 356 377 390 408 435 442 445 493 510 520 534 580 663 680 696 712 754 780 870 884 890 986 1020 1068 1105 1131 1157 1160 1326 1335 1479 1508 1513 1560 1740 1768 1780 1885 1972 2040 2136 2210 2262 2314 2465 2581 2652 2670 2958 3016 3026 3315 3471 3480 3560 3770 3944 4420 4524 4539 4628 4930 5162 5304 5340 5655 5785 5916 6052 6409 6630 6942 7395 7540 7565 7743 8840 9048 9078 9256 9860 10324 10680 11310 11570 11832 12104 12818 12905 13260 13884 14790 15080 15130 15486 17355 18156 19227 19669 19720 20648 22620 22695 23140 25636 25810 26520 27768 29580 30260 30972 32045 33553 34710 36312 38454 38715 39338 43877 45240 45390 46280 51272 51620 59007 59160 60520 61944 64090 67106 69420 76908 77430 78676 87754 90780 96135 98345 100659 103240 118014 128180 131631 134212 138840 153816 154860 157352 167765 175508 181560 192270 196690 201318 219385 236028 256360 263262 268424 295035 309720 335530 351016 384540 393380 402636 438770 472056 503295 526524 570401 590070 658155 671060 769080 786760 805272 877540 1006590 1053048 1140802 1180140 1316310 1342120 1711203 1755080 2013180 2281604 2360280 2632620 2852005 3422406 4026360 4563208 5265240 5704010 6844812 8556015 11408020 13689624 17112030 22816040 34224060 68448120
- Sum of all divisors σ(n): 244944000
- Sum of proper divisors (its aliquot sum) s(n): 176495880
- 68448120 is an abundant number, because the sum of its proper divisors (176495880) is greater than itself. Its abundance is 108047760
Bases of 68448120
- Binary: 1000001010001101111011110002
- Hexadecimal: 0x4146F78
- Base-36: 14R2WO
Squares and roots of 68448120
- 68448120 squared (684481202) is 4685145131534400
- 68448120 cubed (684481203) is 320689376180682395328000
-
The
square root of 68448120 is 8273.3378995421 -
The
cube root of 68448120 is 409.0601514025
Scales and comparisons
How big is 68448120?- 68,448,120 seconds is equal to 2 years, 9 weeks, 1 day, 5 hours, 22 minutes.
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To count from 1 to 68,448,120 would take you about three 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 68448120 cubic inches would be around 34.1 feet tall.
Recreational maths with 68448120
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The information we have on file for 68448120 includes mathematical data and numerical statistics calculated using standard algorithms and methods. We are adding more all the time. If there are any features you would like to see, please contact us. Information provided for educational use, intellectual curiosity and fun!
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