100309968
100,309,968 is an even composite number composed of five prime numbers multiplied together.
100309968 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of two hundred forty divisors.
Prime factorization of 100309968:
24 × 33 × 112 × 19 × 101
(2 × 2 × 2 × 2 × 3 × 3 × 3 × 11 × 11 × 19 × 101)See below for interesting mathematical facts about the number 100309968 from the Numbermatics database.
Names of 100309968
- Cardinal: 100309968 can be written as One hundred million, three hundred nine thousand, nine hundred sixty-eight.
Scientific notation
- Scientific notation: 1.00309968 × 108
Factors of 100309968
Divisors of 100309968
- Number of divisors d(n): 240
-
Complete list of divisors:
1 2 3 4 6 8 9 11 12 16 18 19 22 24 27 33 36 38 44 48 54 57 66 72 76 88 99 101 108 114 121 132 144 152 171 176 198 202 209 216 228 242 264 297 303 304 342 363 396 404 418 432 456 484 513 528 594 606 627 684 726 792 808 836 909 912 968 1026 1089 1111 1188 1212 1254 1368 1452 1584 1616 1672 1818 1881 1919 1936 2052 2178 2222 2299 2376 2424 2508 2727 2736 2904 3267 3333 3344 3636 3762 3838 4104 4356 4444 4598 4752 4848 5016 5454 5643 5757 5808 6534 6666 6897 7272 7524 7676 8208 8712 8888 9196 9999 10032 10908 11286 11514 12221 13068 13332 13794 14544 15048 15352 17271 17424 17776 18392 19998 20691 21109 21816 22572 23028 24442 26136 26664 27588 29997 30096 30704 34542 36663 36784 39996 41382 42218 43632 45144 46056 48884 51813 52272 53328 55176 59994 62073 63327 69084 73326 79992 82764 84436 90288 92112 97768 103626 109989 110352 119988 124146 126654 138168 146652 159984 165528 168872 189981 195536 207252 219978 232199 239976 248292 253308 276336 293304 329967 331056 337744 379962 414504 439956 464398 479952 496584 506616 569943 586608 659934 696597 759924 829008 879912 928796 993168 1013232 1139886 1319868 1393194 1519848 1759824 1857592 2089791 2279772 2639736 2786388 3039696 3715184 4179582 4559544 5279472 5572776 6269373 8359164 9119088 11145552 12538746 16718328 25077492 33436656 50154984 100309968
- Sum of all divisors σ(n): 336436800
- Sum of proper divisors (its aliquot sum) s(n): 236126832
- 100309968 is an abundant number, because the sum of its proper divisors (236126832) is greater than itself. Its abundance is 135816864
Bases of 100309968
- Binary: 1011111101010011011110100002
- Hexadecimal: 0x5FA9BD0
- Base-36: 1NPZO0
Squares and roots of 100309968
- 100309968 squared (1003099682) is 10062089680161024
- 100309968 cubed (1003099683) is 1009327893830082552287232
-
The
square root of 100309968 is 10015.4864085575 -
The
cube root of 100309968 is 464.6379700325
Scales and comparisons
How big is 100309968?- 100,309,968 seconds is equal to 3 years, 9 weeks, 5 days, 23 hours, 52 minutes, 48 seconds.
-
To count from 1 to 100,309,968 would take you about four 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 100309968 cubic inches would be around 38.7 feet tall.
Recreational maths with 100309968
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