45407040
45,407,040 is an even composite number composed of six prime numbers multiplied together.
45407040 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of two hundred twenty-four divisors.
Prime factorization of 45407040:
26 × 3 × 5 × 7 × 29 × 233
(2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 7 × 29 × 233)See below for interesting mathematical facts about the number 45407040 from the Numbermatics database.
Names of 45407040
- Cardinal: 45407040 can be written as Forty-five million, four hundred seven thousand and forty.
Scientific notation
- Scientific notation: 4.540704 × 107
Factors of 45407040
Divisors of 45407040
- Number of divisors d(n): 224
-
Complete list of divisors:
1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 29 30 32 35 40 42 48 56 58 60 64 70 80 84 87 96 105 112 116 120 140 145 160 168 174 192 203 210 224 232 233 240 280 290 320 336 348 406 420 435 448 464 466 480 560 580 609 672 696 699 812 840 870 928 932 960 1015 1120 1160 1165 1218 1344 1392 1398 1624 1631 1680 1740 1856 1864 2030 2240 2320 2330 2436 2784 2796 3045 3248 3262 3360 3480 3495 3728 4060 4640 4660 4872 4893 5568 5592 6090 6496 6524 6720 6757 6960 6990 7456 8120 8155 9280 9320 9744 9786 11184 12180 12992 13048 13514 13920 13980 14912 16240 16310 18640 19488 19572 20271 22368 24360 24465 26096 27028 27840 27960 32480 32620 33785 37280 38976 39144 40542 44736 47299 48720 48930 52192 54056 55920 64960 65240 67570 74560 78288 81084 94598 97440 97860 101355 104384 108112 111840 130480 135140 141897 156576 162168 189196 194880 195720 202710 216224 223680 236495 260960 270280 283794 313152 324336 378392 391440 405420 432448 472990 521920 540560 567588 648672 709485 756784 782880 810840 945980 1081120 1135176 1297344 1418970 1513568 1565760 1621680 1891960 2162240 2270352 2837940 3027136 3243360 3783920 4540704 5675880 6486720 7567840 9081408 11351760 15135680 22703520 45407040
- Sum of all divisors σ(n): 171175680
- Sum of proper divisors (its aliquot sum) s(n): 125768640
- 45407040 is an abundant number, because the sum of its proper divisors (125768640) is greater than itself. Its abundance is 80361600
Bases of 45407040
- Binary: 101011010011011011010000002
- Hexadecimal: 0x2B4DB40
- Base-36: R18AO
Squares and roots of 45407040
- 45407040 squared (454070402) is 2061799281561600
- 45407040 cubed (454070403) is 93620202449838833664000
-
The
square root of 45407040 is 6738.4746048345 -
The
cube root of 45407040 is 356.7585559187
Scales and comparisons
How big is 45407040?- 45,407,040 seconds is equal to 1 year, 23 weeks, 13 hours, 4 minutes.
-
To count from 1 to 45,407,040 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 45407040 cubic inches would be around 29.7 feet tall.
Recreational maths with 45407040
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