125133120
125,133,120 is an even composite number composed of five prime numbers multiplied together.
125133120 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of two hundred twenty-four divisors.
Prime factorization of 125133120:
26 × 33 × 5 × 7 × 2069
(2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 5 × 7 × 2069)See below for interesting mathematical facts about the number 125133120 from the Numbermatics database.
Names of 125133120
- Cardinal: 125133120 can be written as One hundred twenty-five million, one hundred thirty-three thousand, one hundred twenty.
Scientific notation
- Scientific notation: 1.2513312 × 108
Factors of 125133120
Divisors of 125133120
- Number of divisors d(n): 224
-
Complete list of divisors:
1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 20 21 24 27 28 30 32 35 36 40 42 45 48 54 56 60 63 64 70 72 80 84 90 96 105 108 112 120 126 135 140 144 160 168 180 189 192 210 216 224 240 252 270 280 288 315 320 336 360 378 420 432 448 480 504 540 560 576 630 672 720 756 840 864 945 960 1008 1080 1120 1260 1344 1440 1512 1680 1728 1890 2016 2069 2160 2240 2520 2880 3024 3360 3780 4032 4138 4320 5040 6048 6207 6720 7560 8276 8640 10080 10345 12096 12414 14483 15120 16552 18621 20160 20690 24828 28966 30240 31035 33104 37242 41380 43449 49656 55863 57932 60480 62070 66208 72415 74484 82760 86898 93105 99312 111726 115864 124140 130347 132416 144830 148968 165520 173796 186210 198624 217245 223452 231728 248280 260694 279315 289660 297936 331040 347592 372420 391041 397248 434490 446904 463456 496560 521388 558630 579320 595872 651735 662080 695184 744840 782082 868980 893808 926912 993120 1042776 1117260 1158640 1191744 1303470 1390368 1489680 1564164 1737960 1787616 1955205 1986240 2085552 2234520 2317280 2606940 2780736 2979360 3128328 3475920 3575232 3910410 4171104 4469040 4634560 5213880 5958720 6256656 6951840 7820820 8342208 8938080 10427760 12513312 13903680 15641640 17876160 20855520 25026624 31283280 41711040 62566560 125133120
- Sum of all divisors σ(n): 504748800
- Sum of proper divisors (its aliquot sum) s(n): 379615680
- 125133120 is an abundant number, because the sum of its proper divisors (379615680) is greater than itself. Its abundance is 254482560
Bases of 125133120
- Binary: 1110111010101100001010000002
- Hexadecimal: 0x7756140
- Base-36: 22I1C0
Squares and roots of 125133120
- 125133120 squared (1251331202) is 15658297720934400
- 125133120 cubed (1251331203) is 1959371647709410787328000
-
The
square root of 125133120 is 11186.2916107171 -
The
cube root of 125133120 is 500.1774303629
Scales and comparisons
How big is 125133120?- 125,133,120 seconds is equal to 3 years, 50 weeks, 6 days, 7 hours, 12 minutes.
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To count from 1 to 125,133,120 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 125133120 cubic inches would be around 41.7 feet tall.
Recreational maths with 125133120
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