100972872
100,972,872 is an even composite number composed of six prime numbers multiplied together.
100972872 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of two hundred fifty-six divisors.
Prime factorization of 100972872:
23 × 33 × 7 × 11 × 13 × 467
(2 × 2 × 2 × 3 × 3 × 3 × 7 × 11 × 13 × 467)See below for interesting mathematical facts about the number 100972872 from the Numbermatics database.
Names of 100972872
- Cardinal: 100972872 can be written as One hundred million, nine hundred seventy-two thousand, eight hundred seventy-two.
Scientific notation
- Scientific notation: 1.00972872 × 108
Factors of 100972872
Divisors of 100972872
- Number of divisors d(n): 256
-
Complete list of divisors:
1 2 3 4 6 7 8 9 11 12 13 14 18 21 22 24 26 27 28 33 36 39 42 44 52 54 56 63 66 72 77 78 84 88 91 99 104 108 117 126 132 143 154 156 168 182 189 198 216 231 234 252 264 273 286 297 308 312 351 364 378 396 429 462 467 468 504 546 572 594 616 693 702 728 756 792 819 858 924 934 936 1001 1092 1144 1188 1287 1386 1401 1404 1512 1638 1716 1848 1868 2002 2079 2184 2376 2457 2574 2772 2802 2808 3003 3269 3276 3432 3736 3861 4004 4158 4203 4914 5137 5148 5544 5604 6006 6071 6538 6552 7722 8008 8316 8406 9009 9807 9828 10274 10296 11208 12012 12142 12609 13076 15411 15444 16632 16812 18018 18213 19614 19656 20548 24024 24284 25218 26152 27027 29421 30822 30888 33624 35959 36036 36426 39228 41096 42497 46233 48568 50436 54054 54639 58842 61644 66781 71918 72072 72852 78456 84994 88263 92466 100872 107877 108108 109278 117684 123288 127491 133562 138699 143836 145704 163917 169988 176526 184932 200343 215754 216216 218556 235368 254982 267124 277398 287672 323631 327834 339976 353052 369864 382473 400686 431508 437112 467467 509964 534248 554796 601029 647262 655668 706104 764946 801372 863016 934934 970893 1019928 1109592 1147419 1202058 1294524 1311336 1402401 1529892 1602744 1803087 1869868 1941786 2294838 2404116 2589048 2804802 3059784 3606174 3739736 3883572 4207203 4589676 4808232 5609604 7212348 7767144 8414406 9179352 11219208 12621609 14424696 16828812 25243218 33657624 50486436 100972872
- Sum of all divisors σ(n): 377395200
- Sum of proper divisors (its aliquot sum) s(n): 276422328
- 100972872 is an abundant number, because the sum of its proper divisors (276422328) is greater than itself. Its abundance is 175449456
Bases of 100972872
- Binary: 1100000010010111001010010002
- Hexadecimal: 0x604B948
- Base-36: 1O4760
Squares and roots of 100972872
- 100972872 squared (1009728722) is 10195520879928384
- 100972872 cubed (1009728723) is 1029471024782336086798848
-
The
square root of 100972872 is 10048.5258620357 -
The
cube root of 100972872 is 465.6592522105
Scales and comparisons
How big is 100972872?- 100,972,872 seconds is equal to 3 years, 10 weeks, 6 days, 16 hours, 1 minute, 12 seconds.
-
To count from 1 to 100,972,872 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 100972872 cubic inches would be around 38.8 feet tall.
Recreational maths with 100972872
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