45689040
45,689,040 is an even composite number composed of six prime numbers multiplied together.
45689040 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of two hundred forty divisors.
Prime factorization of 45689040:
24 × 32 × 5 × 23 × 31 × 89
(2 × 2 × 2 × 2 × 3 × 3 × 5 × 23 × 31 × 89)See below for interesting mathematical facts about the number 45689040 from the Numbermatics database.
Names of 45689040
- Cardinal: 45689040 can be written as Forty-five million, six hundred eighty-nine thousand and forty.
Scientific notation
- Scientific notation: 4.568904 × 107
Factors of 45689040
Divisors of 45689040
- Number of divisors d(n): 240
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Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 16 18 20 23 24 30 31 36 40 45 46 48 60 62 69 72 80 89 90 92 93 115 120 124 138 144 155 178 180 184 186 207 230 240 248 267 276 279 310 345 356 360 368 372 414 445 460 465 496 534 552 558 620 690 712 713 720 744 801 828 890 920 930 1035 1068 1104 1116 1240 1335 1380 1395 1424 1426 1488 1602 1656 1780 1840 1860 2047 2070 2136 2139 2232 2480 2670 2759 2760 2790 2852 3204 3312 3560 3565 3720 4005 4094 4140 4272 4278 4464 5340 5518 5520 5580 5704 6141 6408 6417 7120 7130 7440 8010 8188 8277 8280 8556 10235 10680 10695 11036 11160 11408 12282 12816 12834 13795 14260 16020 16376 16554 16560 17112 18423 20470 21360 21390 22072 22320 24564 24831 25668 27590 28520 30705 32040 32085 32752 33108 34224 36846 40940 41385 42780 44144 49128 49662 51336 55180 57040 61410 63457 64080 64170 66216 73692 81880 82770 85560 92115 98256 99324 102672 110360 122820 124155 126914 128340 132432 147384 163760 165540 171120 184230 190371 198648 220720 245640 248310 253828 256680 294768 317285 331080 368460 380742 397296 491280 496620 507656 513360 571113 634570 662160 736920 761484 951855 993240 1015312 1142226 1269140 1473840 1522968 1903710 1986480 2284452 2538280 2855565 3045936 3807420 4568904 5076560 5711130 7614840 9137808 11422260 15229680 22844520 45689040
- Sum of all divisors σ(n): 167132160
- Sum of proper divisors (its aliquot sum) s(n): 121443120
- 45689040 is an abundant number, because the sum of its proper divisors (121443120) is greater than itself. Its abundance is 75754080
Bases of 45689040
- Binary: 101011100100101000110100002
- Hexadecimal: 0x2B928D0
- Base-36: R79W0
Squares and roots of 45689040
- 45689040 squared (456890402) is 2087488376121600
- 45689040 cubed (456890403) is 95375339916154827264000
-
The
square root of 45689040 is 6759.3668342527 -
The
cube root of 45689040 is 357.4955808213
Scales and comparisons
How big is 45689040?- 45,689,040 seconds is equal to 1 year, 23 weeks, 3 days, 19 hours, 24 minutes.
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To count from 1 to 45,689,040 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 45689040 cubic inches would be around 29.8 feet tall.
Recreational maths with 45689040
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