45989120
45,989,120 is an even composite number composed of five prime numbers multiplied together.
45989120 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one hundred forty-four divisors.
Prime factorization of 45989120:
28 × 5 × 19 × 31 × 61
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 19 × 31 × 61)See below for interesting mathematical facts about the number 45989120 from the Numbermatics database.
Names of 45989120
- Cardinal: 45989120 can be written as Forty-five million, nine hundred eighty-nine thousand, one hundred twenty.
Scientific notation
- Scientific notation: 4.598912 × 107
Factors of 45989120
Divisors of 45989120
- Number of divisors d(n): 144
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Complete list of divisors:
1 2 4 5 8 10 16 19 20 31 32 38 40 61 62 64 76 80 95 122 124 128 152 155 160 190 244 248 256 304 305 310 320 380 488 496 589 608 610 620 640 760 976 992 1159 1178 1216 1220 1240 1280 1520 1891 1952 1984 2318 2356 2432 2440 2480 2945 3040 3782 3904 3968 4636 4712 4864 4880 4960 5795 5890 6080 7564 7808 7936 9272 9424 9455 9760 9920 11590 11780 12160 15128 15616 18544 18848 18910 19520 19840 23180 23560 24320 30256 35929 37088 37696 37820 39040 39680 46360 47120 60512 71858 74176 75392 75640 78080 92720 94240 121024 143716 148352 150784 151280 179645 185440 188480 242048 287432 296704 302560 359290 370880 376960 484096 574864 605120 718580 741760 753920 1149728 1210240 1437160 1483520 2299456 2420480 2874320 4598912 5748640 9197824 11497280 22994560 45989120
- Sum of all divisors σ(n): 121658880
- Sum of proper divisors (its aliquot sum) s(n): 75669760
- 45989120 is an abundant number, because the sum of its proper divisors (75669760) is greater than itself. Its abundance is 29680640
Bases of 45989120
- Binary: 101011110110111101000000002
- Hexadecimal: 0x2BDBD00
- Base-36: RDPFK
Squares and roots of 45989120
- 45989120 squared (459891202) is 2114999158374400
- 45989120 cubed (459891203) is 97266950094379286528000
-
The
square root of 45989120 is 6781.5278514505 -
The
cube root of 45989120 is 358.2765359169
Scales and comparisons
How big is 45989120?- 45,989,120 seconds is equal to 1 year, 24 weeks, 6 hours, 45 minutes, 20 seconds.
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To count from 1 to 45,989,120 would take you about two 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 45989120 cubic inches would be around 29.9 feet tall.
Recreational maths with 45989120
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