45096480
45,096,480 is an even composite number composed of six prime numbers multiplied together.
45096480 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of three hundred eighty-four divisors.
Prime factorization of 45096480:
25 × 33 × 5 × 11 × 13 × 73
(2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 5 × 11 × 13 × 73)See below for interesting mathematical facts about the number 45096480 from the Numbermatics database.
Names of 45096480
- Cardinal: 45096480 can be written as Forty-five million, ninety-six thousand, four hundred eighty.
Scientific notation
- Scientific notation: 4.509648 × 107
Factors of 45096480
Divisors of 45096480
- Number of divisors d(n): 384
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Complete list of divisors:
1 2 3 4 5 6 8 9 10 11 12 13 15 16 18 20 22 24 26 27 30 32 33 36 39 40 44 45 48 52 54 55 60 65 66 72 73 78 80 88 90 96 99 104 108 110 117 120 130 132 135 143 144 146 156 160 165 176 180 195 198 208 216 219 220 234 240 260 264 270 286 288 292 297 312 330 351 352 360 365 390 396 416 429 432 438 440 468 480 495 520 528 540 572 584 585 594 624 657 660 702 715 720 730 780 792 803 858 864 876 880 936 949 990 1040 1056 1080 1095 1144 1168 1170 1188 1248 1287 1314 1320 1404 1430 1440 1460 1485 1560 1584 1606 1716 1752 1755 1760 1872 1898 1971 1980 2080 2145 2160 2190 2288 2336 2340 2376 2409 2574 2628 2640 2808 2847 2860 2920 2970 3120 3168 3212 3285 3432 3504 3510 3744 3796 3861 3942 3960 4015 4290 4320 4380 4576 4680 4745 4752 4818 5148 5256 5280 5616 5694 5720 5840 5940 6240 6424 6435 6570 6864 7008 7020 7227 7592 7722 7884 7920 8030 8541 8580 8760 9360 9490 9504 9636 9855 10296 10439 10512 11232 11388 11440 11680 11880 12045 12848 12870 13140 13728 14040 14235 14454 15184 15444 15768 15840 16060 17082 17160 17520 18720 18980 19272 19305 19710 20592 20878 21024 21681 22776 22880 23760 24090 25623 25696 25740 26280 28080 28470 28908 30368 30888 31317 31536 32120 34164 34320 35040 36135 37960 38544 38610 39420 41184 41756 42705 43362 45552 47520 48180 51246 51480 52195 52560 56160 56940 57816 61776 62634 63072 64240 68328 68640 72270 75920 77088 77220 78840 83512 85410 86724 91104 93951 96360 102492 102960 104390 105120 108405 113880 115632 123552 125268 128115 128480 136656 144540 151840 154440 156585 157680 167024 170820 173448 187902 192720 204984 205920 208780 216810 227760 231264 250536 256230 273312 281853 289080 308880 313170 315360 334048 341640 346896 375804 385440 409968 417560 433620 455520 469755 501072 512460 563706 578160 617760 626340 683280 693792 751608 819936 835120 867240 939510 1002144 1024920 1127412 1156320 1252680 1366560 1409265 1503216 1670240 1734480 1879020 2049840 2254824 2505360 2818530 3006432 3468960 3758040 4099680 4509648 5010720 5637060 7516080 9019296 11274120 15032160 22548240 45096480
- Sum of all divisors σ(n): 187971840
- Sum of proper divisors (its aliquot sum) s(n): 142875360
- 45096480 is an abundant number, because the sum of its proper divisors (142875360) is greater than itself. Its abundance is 97778880
Bases of 45096480
- Binary: 101011000000011110001000002
- Hexadecimal: 0x2B01E20
- Base-36: QUKO0
Squares and roots of 45096480
- 45096480 squared (450964802) is 2033692508390400
- 45096480 cubed (450964803) is 91712373530777505792000
-
The
square root of 45096480 is 6715.3912767611 -
The
cube root of 45096480 is 355.9433483055
Scales and comparisons
How big is 45096480?- 45,096,480 seconds is equal to 1 year, 22 weeks, 3 days, 22 hours, 48 minutes.
-
To count from 1 to 45,096,480 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 45096480 cubic inches would be around 29.7 feet tall.
Recreational maths with 45096480
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