98968800
98,968,800 is an even composite number composed of six prime numbers multiplied together.
98968800 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of two hundred eighty-eight divisors.
Prime factorization of 98968800:
25 × 3 × 52 × 7 × 43 × 137
(2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 7 × 43 × 137)See below for interesting mathematical facts about the number 98968800 from the Numbermatics database.
Names of 98968800
- Cardinal: 98968800 can be written as Ninety-eight million, nine hundred sixty-eight thousand, eight hundred.
Scientific notation
- Scientific notation: 9.89688 × 107
Factors of 98968800
Divisors of 98968800
- Number of divisors d(n): 288
-
Complete list of divisors:
1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 25 28 30 32 35 40 42 43 48 50 56 60 70 75 80 84 86 96 100 105 112 120 129 137 140 150 160 168 172 175 200 210 215 224 240 258 274 280 300 301 336 344 350 400 411 420 430 480 516 525 548 560 600 602 645 672 685 688 700 800 822 840 860 903 959 1032 1050 1075 1096 1120 1200 1204 1290 1370 1376 1400 1505 1644 1680 1720 1806 1918 2055 2064 2100 2150 2192 2400 2408 2580 2740 2800 2877 3010 3225 3288 3360 3425 3440 3612 3836 4110 4128 4200 4300 4384 4515 4795 4816 5160 5480 5600 5754 5891 6020 6450 6576 6850 6880 7224 7525 7672 8220 8400 8600 9030 9590 9632 10275 10320 10960 11508 11782 12040 12900 13152 13700 14385 14448 15050 15344 16440 16800 17200 17673 18060 19180 20550 20640 21920 22575 23016 23564 23975 24080 25800 27400 28770 28896 29455 30100 30688 32880 34400 35346 36120 38360 41100 41237 45150 46032 47128 47950 48160 51600 54800 57540 58910 60200 65760 70692 71925 72240 76720 82200 82474 88365 90300 92064 94256 95900 103200 109600 115080 117820 120400 123711 141384 143850 144480 147275 153440 164400 164948 176730 180600 188512 191800 206185 230160 235640 240800 247422 282768 287700 294550 328800 329896 353460 361200 383600 412370 441825 460320 471280 494844 565536 575400 589100 618555 659792 706920 722400 767200 824740 883650 942560 989688 1030925 1150800 1178200 1237110 1319584 1413840 1649480 1767300 1979376 2061850 2301600 2356400 2474220 2827680 3092775 3298960 3534600 3958752 4123700 4712800 4948440 6185550 6597920 7069200 8247400 9896880 12371100 14138400 16494800 19793760 24742200 32989600 49484400 98968800
- Sum of all divisors σ(n): 379475712
- Sum of proper divisors (its aliquot sum) s(n): 280506912
- 98968800 is an abundant number, because the sum of its proper divisors (280506912) is greater than itself. Its abundance is 181538112
Bases of 98968800
- Binary: 1011110011000100100111000002
- Hexadecimal: 0x5E624E0
- Base-36: 1MX8TC
Squares and roots of 98968800
- 98968800 squared (989688002) is 9794823373440000
- 98968800 cubed (989688003) is 969381915481308672000000
-
The
square root of 98968800 is 9948.3063885263 -
The
cube root of 98968800 is 462.5578987657
Scales and comparisons
How big is 98968800?- 98,968,800 seconds is equal to 3 years, 7 weeks, 4 days, 11 hours, 20 minutes.
-
To count from 1 to 98,968,800 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 98968800 cubic inches would be around 38.5 feet tall.
Recreational maths with 98968800
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