970125120
970,125,120 is an even composite number composed of five prime numbers multiplied together.
970125120 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 970125120:
26 × 33 × 5 × 47 × 2389
(2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 5 × 47 × 2389)See below for interesting mathematical facts about the number 970125120 from the Numbermatics database.
Names of 970125120
- Cardinal: 970125120 can be written as Nine hundred seventy million, one hundred twenty-five thousand, one hundred twenty.
Scientific notation
- Scientific notation: 9.7012512 × 108
Factors of 970125120
Divisors of 970125120
- Number of divisors d(n): 224
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Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 32 36 40 45 47 48 54 60 64 72 80 90 94 96 108 120 135 141 144 160 180 188 192 216 235 240 270 282 288 320 360 376 423 432 470 480 540 564 576 705 720 752 846 864 940 960 1080 1128 1269 1410 1440 1504 1692 1728 1880 2115 2160 2256 2389 2538 2820 2880 3008 3384 3760 4230 4320 4512 4778 5076 5640 6345 6768 7167 7520 8460 8640 9024 9556 10152 11280 11945 12690 13536 14334 15040 16920 19112 20304 21501 22560 23890 25380 27072 28668 33840 35835 38224 40608 43002 45120 47780 50760 57336 64503 67680 71670 76448 81216 86004 95560 101520 107505 112283 114672 129006 135360 143340 152896 172008 191120 203040 215010 224566 229344 258012 286680 322515 336849 344016 382240 406080 430020 449132 458688 516024 561415 573360 645030 673698 688032 764480 860040 898264 1010547 1032048 1122830 1146720 1290060 1347396 1376064 1684245 1720080 1796528 2021094 2064096 2245660 2293440 2580120 2694792 3031641 3368490 3440160 3593056 4042188 4128192 4491320 5052735 5160240 5389584 6063282 6736980 6880320 7186112 8084376 8982640 10105470 10320480 10779168 12126564 13473960 15158205 16168752 17965280 20210940 20640960 21558336 24253128 26947920 30316410 32337504 35930560 40421880 48506256 53895840 60632820 64675008 80843760 97012512 107791680 121265640 161687520 194025024 242531280 323375040 485062560 970125120
- Sum of all divisors σ(n): 3496665600
- Sum of proper divisors (its aliquot sum) s(n): 2526540480
- 970125120 is an abundant number, because the sum of its proper divisors (2526540480) is greater than itself. Its abundance is 1556415360
Bases of 970125120
- Binary: 1110011101001011101111010000002
- Hexadecimal: 0x39D2EF40
- Base-36: G1L5C0
Squares and roots of 970125120
- 970125120 squared (9701251202) is 941142748455014400
- 970125120 cubed (9701251203) is 913026221782050659401728000
-
The
square root of 970125120 is 31146.8316205677 -
The
cube root of 970125120 is 989.9408596443
Scales and comparisons
How big is 970125120?- 970,125,120 seconds is equal to 30 years, 44 weeks, 7 hours, 12 minutes.
-
To count from 1 to 970,125,120 would take you about forty-six 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 970125120 cubic inches would be around 82.5 feet tall.
Recreational maths with 970125120
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