122248128
122,248,128 is an even composite number composed of six prime numbers multiplied together.
122248128 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of two hundred twenty-four divisors.
Prime factorization of 122248128:
26 × 3 × 19 × 23 × 31 × 47
(2 × 2 × 2 × 2 × 2 × 2 × 3 × 19 × 23 × 31 × 47)See below for interesting mathematical facts about the number 122248128 from the Numbermatics database.
Names of 122248128
- Cardinal: 122248128 can be written as One hundred twenty-two million, two hundred forty-eight thousand, one hundred twenty-eight.
Scientific notation
- Scientific notation: 1.22248128 × 108
Factors of 122248128
Divisors of 122248128
- Number of divisors d(n): 224
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Complete list of divisors:
1 2 3 4 6 8 12 16 19 23 24 31 32 38 46 47 48 57 62 64 69 76 92 93 94 96 114 124 138 141 152 184 186 188 192 228 248 276 282 304 368 372 376 437 456 496 552 564 589 608 713 736 744 752 874 893 912 992 1081 1104 1128 1178 1216 1311 1426 1457 1472 1488 1504 1748 1767 1786 1824 1984 2139 2162 2208 2256 2356 2622 2679 2852 2914 2976 3008 3243 3496 3534 3572 3648 4278 4324 4371 4416 4512 4712 5244 5358 5704 5828 5952 6486 6992 7068 7144 8556 8648 8742 9024 9424 10488 10716 11408 11656 12972 13547 13984 14136 14288 17112 17296 17484 18848 20539 20976 21432 22816 23312 25944 27094 27683 27968 28272 28576 33511 34224 34592 34968 37696 40641 41078 41952 42864 45632 46624 51888 54188 55366 56544 57152 61617 67022 68448 69184 69936 81282 82156 83049 83904 85728 93248 100533 103776 108376 110732 113088 123234 134044 136896 139872 162564 164312 166098 171456 201066 207552 216752 221464 246468 268088 279744 325128 328624 332196 402132 433504 442928 492936 536176 636709 650256 657248 664392 804264 867008 885856 985872 1072352 1273418 1300512 1314496 1328784 1608528 1771712 1910127 1971744 2144704 2546836 2601024 2657568 3217056 3820254 3943488 5093672 5315136 6434112 7640508 10187344 15281016 20374688 30562032 40749376 61124064 122248128
- Sum of all divisors σ(n): 374538240
- Sum of proper divisors (its aliquot sum) s(n): 252290112
- 122248128 is an abundant number, because the sum of its proper divisors (252290112) is greater than itself. Its abundance is 130041984
Bases of 122248128
- Binary: 1110100100101011011110000002
- Hexadecimal: 0x7495BC0
- Base-36: 20S79C
Squares and roots of 122248128
- 122248128 squared (1222481282) is 14944604799504384
- 122248128 cubed (1222481283) is 1826949960439226271793152
-
The
square root of 122248128 is 11056.5875386577 -
The
cube root of 122248128 is 496.3035775977
Scales and comparisons
How big is 122248128?- 122,248,128 seconds is equal to 3 years, 46 weeks, 21 hours, 48 minutes, 48 seconds.
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To count from 1 to 122,248,128 would take you about five 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 122248128 cubic inches would be around 41.4 feet tall.
Recreational maths with 122248128
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The information we have on file for 122248128 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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