150403968
150,403,968 is an even composite number composed of five prime numbers multiplied together.
150403968 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of two hundred eighty-eight divisors.
Prime factorization of 150403968:
27 × 32 × 112 × 13 × 83
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 11 × 11 × 13 × 83)See below for interesting mathematical facts about the number 150403968 from the Numbermatics database.
Names of 150403968
- Cardinal: 150403968 can be written as One hundred fifty million, four hundred three thousand, nine hundred sixty-eight.
Scientific notation
- Scientific notation: 1.50403968 × 108
Factors of 150403968
Divisors of 150403968
- Number of divisors d(n): 288
-
Complete list of divisors:
1 2 3 4 6 8 9 11 12 13 16 18 22 24 26 32 33 36 39 44 48 52 64 66 72 78 83 88 96 99 104 117 121 128 132 143 144 156 166 176 192 198 208 234 242 249 264 286 288 312 332 352 363 384 396 416 429 468 484 498 528 572 576 624 664 704 726 747 792 832 858 913 936 968 996 1056 1079 1089 1144 1152 1248 1287 1328 1408 1452 1494 1573 1584 1664 1716 1826 1872 1936 1992 2112 2158 2178 2288 2496 2574 2656 2739 2904 2988 3146 3168 3237 3432 3652 3744 3872 3984 4224 4316 4356 4576 4719 4992 5148 5312 5478 5808 5976 6292 6336 6474 6864 7304 7488 7744 7968 8217 8632 8712 9152 9438 9711 10043 10296 10624 10956 11616 11869 11952 12584 12672 12948 13728 14157 14608 14976 15488 15936 16434 17264 17424 18304 18876 19422 20086 20592 21912 23232 23738 23904 25168 25896 27456 28314 29216 30129 31872 32868 34528 34848 35607 37752 38844 40172 41184 43824 46464 47476 47808 50336 51792 54912 56628 58432 60258 65736 69056 69696 71214 75504 77688 80344 82368 87648 90387 94952 95616 100672 103584 106821 113256 116864 120516 130559 131472 138112 139392 142428 151008 155376 160688 164736 175296 180774 189904 201344 207168 213642 226512 241032 261118 262944 284856 302016 310752 321376 350592 361548 379808 391677 414336 427284 453024 482064 522236 525888 569712 604032 621504 642752 723096 759616 783354 854568 906048 964128 1044472 1051776 1139424 1175031 1243008 1285504 1446192 1519232 1566708 1709136 1812096 1928256 2088944 2278848 2350062 2892384 3133416 3418272 3856512 4177888 4557696 4700124 5784768 6266832 6836544 8355776 9400248 11569536 12533664 13673088 16711552 18800496 25067328 37600992 50134656 75201984 150403968
- Sum of all divisors σ(n): 518492520
- Sum of proper divisors (its aliquot sum) s(n): 368088552
- 150403968 is an abundant number, because the sum of its proper divisors (368088552) is greater than itself. Its abundance is 217684584
Bases of 150403968
- Binary: 10001111011011111011100000002
- Hexadecimal: 0x8F6FB80
- Base-36: 2HJOG0
Squares and roots of 150403968
- 150403968 squared (1504039682) is 22621353590145024
- 150403968 cubed (1504039683) is 3402341341488857305055232
-
The
square root of 150403968 is 12263.9295496999 -
The
cube root of 150403968 is 531.8058348857
Scales and comparisons
How big is 150403968?- 150,403,968 seconds is equal to 4 years, 40 weeks, 4 days, 18 hours, 52 minutes, 48 seconds.
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To count from 1 to 150,403,968 would take you about seven 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 150403968 cubic inches would be around 44.3 feet tall.
Recreational maths with 150403968
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