45135090
45,135,090 is an even composite number composed of seven prime numbers multiplied together.
45135090 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of two hundred fifty-six divisors.
Prime factorization of 45135090:
2 × 33 × 5 × 7 × 11 × 13 × 167
(2 × 3 × 3 × 3 × 5 × 7 × 11 × 13 × 167)See below for interesting mathematical facts about the number 45135090 from the Numbermatics database.
Names of 45135090
- Cardinal: 45135090 can be written as Forty-five million, one hundred thirty-five thousand and ninety.
Scientific notation
- Scientific notation: 4.513509 × 107
Factors of 45135090
Divisors of 45135090
- Number of divisors d(n): 256
-
Complete list of divisors:
1 2 3 5 6 7 9 10 11 13 14 15 18 21 22 26 27 30 33 35 39 42 45 54 55 63 65 66 70 77 78 90 91 99 105 110 117 126 130 135 143 154 165 167 182 189 195 198 210 231 234 270 273 286 297 315 330 334 351 378 385 390 429 455 462 495 501 546 585 594 630 693 702 715 770 819 835 858 910 945 990 1001 1002 1155 1169 1170 1287 1365 1386 1430 1485 1503 1638 1670 1755 1837 1890 2002 2079 2145 2171 2310 2338 2457 2505 2574 2730 2970 3003 3006 3465 3507 3510 3674 3861 4095 4158 4290 4342 4509 4914 5005 5010 5511 5845 6006 6435 6513 6930 7014 7515 7722 8190 9009 9018 9185 10010 10395 10521 10855 11022 11690 12285 12859 12870 13026 15015 15030 15197 16533 17535 18018 18370 19305 19539 20790 21042 21710 22545 23881 24570 25718 27027 27555 30030 30394 31563 32565 33066 35070 38577 38610 39078 45045 45090 45591 47762 49599 52605 54054 55110 58617 63126 64295 65130 71643 75985 77154 82665 90090 91182 97695 99198 105210 115731 117234 119405 128590 135135 136773 143286 151970 157815 165330 167167 192885 195390 214929 227955 231462 238810 247995 270270 273546 293085 315630 334334 347193 358215 385770 410319 429858 455910 495990 501501 578655 586170 644787 683865 694386 716430 820638 835835 1003002 1074645 1157310 1289574 1367730 1504503 1671670 1735965 2051595 2149290 2507505 3009006 3223935 3471930 4103190 4513509 5015010 6447870 7522515 9027018 15045030 22567545 45135090
- Sum of all divisors σ(n): 162570240
- Sum of proper divisors (its aliquot sum) s(n): 117435150
- 45135090 is an abundant number, because the sum of its proper divisors (117435150) is greater than itself. Its abundance is 72300060
Bases of 45135090
- Binary: 101011000010110100111100102
- Hexadecimal: 0x2B0B4F2
- Base-36: QVEGI
Squares and roots of 45135090
- 45135090 squared (451350902) is 2037176349308100
- 45135090 cubed (451350903) is 91948137871892531229000
-
The
square root of 45135090 is 6718.2654011285 -
The
cube root of 45135090 is 356.0449013347
Scales and comparisons
How big is 45135090?- 45,135,090 seconds is equal to 1 year, 22 weeks, 4 days, 9 hours, 31 minutes, 30 seconds.
-
To count from 1 to 45,135,090 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 45135090 cubic inches would be around 29.7 feet tall.
Recreational maths with 45135090
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The information we have on file for 45135090 includes mathematical data and numerical statistics calculated using standard algorithms and methods. We are adding more all the time. If there are any features you would like to see, please contact us. Information provided for educational use, intellectual curiosity and fun!
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