123363968
123,363,968 is an even composite number composed of five prime numbers multiplied together.
123363968 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one hundred ninety-two divisors.
Prime factorization of 123363968:
27 × 72 × 13 × 17 × 89
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 7 × 7 × 13 × 17 × 89)See below for interesting mathematical facts about the number 123363968 from the Numbermatics database.
Names of 123363968
- Cardinal: 123363968 can be written as One hundred twenty-three million, three hundred sixty-three thousand, nine hundred sixty-eight.
Scientific notation
- Scientific notation: 1.23363968 × 108
Factors of 123363968
Divisors of 123363968
- Number of divisors d(n): 192
-
Complete list of divisors:
1 2 4 7 8 13 14 16 17 26 28 32 34 49 52 56 64 68 89 91 98 104 112 119 128 136 178 182 196 208 221 224 238 272 356 364 392 416 442 448 476 544 623 637 712 728 784 832 833 884 896 952 1088 1157 1246 1274 1424 1456 1513 1547 1568 1664 1666 1768 1904 2176 2314 2492 2548 2848 2912 3026 3094 3136 3332 3536 3808 4361 4628 4984 5096 5696 5824 6052 6188 6272 6664 7072 7616 8099 8722 9256 9968 10192 10591 10829 11392 11648 12104 12376 13328 14144 15232 16198 17444 18512 19669 19936 20384 21182 21658 24208 24752 26656 28288 32396 34888 37024 39338 39872 40768 42364 43316 48416 49504 53312 56693 64792 69776 74048 74137 78676 79744 81536 84728 86632 96832 99008 106624 113386 129584 137683 139552 148096 148274 157352 169456 173264 193664 198016 226772 259168 275366 279104 296548 314704 338912 346528 453544 518336 550732 558208 593096 629408 677824 693056 907088 963781 1036672 1101464 1186192 1258816 1355648 1386112 1814176 1927562 2202928 2372384 2517632 3628352 3855124 4405856 4744768 7256704 7710248 8811712 9489536 15420496 17623424 30840992 61681984 123363968
- Sum of all divisors σ(n): 329653800
- Sum of proper divisors (its aliquot sum) s(n): 206289832
- 123363968 is an abundant number, because the sum of its proper divisors (206289832) is greater than itself. Its abundance is 82925864
Bases of 123363968
- Binary: 1110101101001100010100000002
- Hexadecimal: 0x75A6280
- Base-36: 21G48W
Squares and roots of 123363968
- 123363968 squared (1233639682) is 15218668600705024
- 123363968 cubed (1233639683) is 1877435346259979358175232
-
The
square root of 123363968 is 11106.9333301321 -
The
cube root of 123363968 is 497.8090373887
Scales and comparisons
How big is 123363968?- 123,363,968 seconds is equal to 3 years, 47 weeks, 6 days, 19 hours, 46 minutes, 8 seconds.
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To count from 1 to 123,363,968 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 123363968 cubic inches would be around 41.5 feet tall.
Recreational maths with 123363968
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