106444080
106,444,080 is an even composite number composed of six prime numbers multiplied together.
106444080 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of two hundred forty divisors.
Prime factorization of 106444080:
24 × 32 × 5 × 19 × 31 × 251
(2 × 2 × 2 × 2 × 3 × 3 × 5 × 19 × 31 × 251)See below for interesting mathematical facts about the number 106444080 from the Numbermatics database.
Names of 106444080
- Cardinal: 106444080 can be written as One hundred six million, four hundred forty-four thousand and eighty.
Scientific notation
- Scientific notation: 1.0644408 × 108
Factors of 106444080
Divisors of 106444080
- Number of divisors d(n): 240
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Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 16 18 19 20 24 30 31 36 38 40 45 48 57 60 62 72 76 80 90 93 95 114 120 124 144 152 155 171 180 186 190 228 240 248 251 279 285 304 310 342 360 372 380 456 465 496 502 558 570 589 620 684 720 744 753 760 855 912 930 1004 1116 1140 1178 1240 1255 1368 1395 1488 1506 1520 1710 1767 1860 2008 2232 2259 2280 2356 2480 2510 2736 2790 2945 3012 3420 3534 3720 3765 4016 4464 4518 4560 4712 4769 5020 5301 5580 5890 6024 6840 7068 7440 7530 7781 8835 9036 9424 9538 10040 10602 11160 11295 11780 12048 13680 14136 14307 15060 15562 17670 18072 19076 20080 21204 22320 22590 23343 23560 23845 26505 28272 28614 30120 31124 35340 36144 38152 38905 42408 42921 45180 46686 47120 47690 53010 57228 60240 62248 70029 70680 71535 76304 77810 84816 85842 90360 93372 95380 106020 114456 116715 124496 140058 141360 143070 147839 155620 171684 180720 186744 190760 212040 214605 228912 233430 280116 286140 295678 311240 343368 350145 373488 381520 424080 429210 443517 466860 560232 572280 591356 622480 686736 700290 739195 858420 887034 933720 1120464 1144560 1182712 1330551 1400580 1478390 1716840 1774068 1867440 2217585 2365424 2661102 2801160 2956780 3433680 3548136 4435170 5322204 5602320 5913560 6652755 7096272 8870340 10644408 11827120 13305510 17740680 21288816 26611020 35481360 53222040 106444080
- Sum of all divisors σ(n): 389975040
- Sum of proper divisors (its aliquot sum) s(n): 283530960
- 106444080 is an abundant number, because the sum of its proper divisors (283530960) is greater than itself. Its abundance is 177086880
Bases of 106444080
- Binary: 1100101100000110101001100002
- Hexadecimal: 0x6583530
- Base-36: 1RDGS0
Squares and roots of 106444080
- 106444080 squared (1064440802) is 11330342167046400
- 106444080 cubed (1064440803) is 1206047848056460365312000
-
The
square root of 106444080 is 10317.1740316813 -
The
cube root of 106444080 is 473.9223287783
Scales and comparisons
How big is 106444080?- 106,444,080 seconds is equal to 3 years, 19 weeks, 6 days, 23 hours, 48 minutes.
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To count from 1 to 106,444,080 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 106444080 cubic inches would be around 39.5 feet tall.
Recreational maths with 106444080
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