145741680
145,741,680 is an even composite number composed of five prime numbers multiplied together.
145741680 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of four hundred eighty divisors.
Prime factorization of 145741680:
24 × 37 × 5 × 72 × 17
(2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 5 × 7 × 7 × 17)See below for interesting mathematical facts about the number 145741680 from the Numbermatics database.
Names of 145741680
- Cardinal: 145741680 can be written as One hundred forty-five million, seven hundred forty-one thousand, six hundred eighty.
Scientific notation
- Scientific notation: 1.4574168 × 108
Factors of 145741680
Divisors of 145741680
- Number of divisors d(n): 480
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Complete list of divisors:
1 2 3 4 5 6 7 8 9 10 12 14 15 16 17 18 20 21 24 27 28 30 34 35 36 40 42 45 48 49 51 54 56 60 63 68 70 72 80 81 84 85 90 98 102 105 108 112 119 120 126 135 136 140 144 147 153 162 168 170 180 189 196 204 210 216 238 240 243 245 252 255 270 272 280 294 306 315 324 336 340 357 360 378 392 405 408 420 432 441 459 476 486 490 504 510 540 560 567 588 595 612 630 648 680 714 720 729 735 756 765 784 810 816 833 840 882 918 945 952 972 980 1008 1020 1071 1080 1134 1176 1190 1215 1224 1260 1296 1323 1360 1377 1428 1458 1470 1512 1530 1620 1666 1680 1701 1764 1785 1836 1890 1904 1944 1960 2040 2142 2160 2187 2205 2268 2295 2352 2380 2430 2448 2499 2520 2646 2754 2835 2856 2916 2940 3024 3060 3213 3240 3332 3402 3528 3570 3645 3672 3780 3888 3920 3969 4080 4131 4165 4284 4374 4410 4536 4590 4760 4860 4998 5040 5103 5292 5355 5508 5670 5712 5832 5880 6120 6426 6480 6615 6664 6804 6885 7056 7140 7290 7344 7497 7560 7938 8262 8330 8505 8568 8748 8820 9072 9180 9520 9639 9720 9996 10206 10584 10710 10935 11016 11340 11664 11760 11907 12240 12393 12495 12852 13230 13328 13608 13770 14280 14580 14994 15120 15309 15876 16065 16524 16660 17010 17136 17496 17640 18360 19278 19440 19845 19992 20412 20655 21168 21420 21870 22032 22491 22680 23814 24786 24990 25515 25704 26460 27216 27540 28560 28917 29160 29988 30618 31752 32130 33048 33320 34020 34992 35280 35721 36720 37179 37485 38556 39690 39984 40824 41310 42840 43740 44982 45360 47628 48195 49572 49980 51030 51408 52920 55080 57834 58320 59535 59976 61236 61965 63504 64260 66096 66640 67473 68040 71442 74358 74970 76545 77112 79380 81648 82620 85680 86751 87480 89964 95256 96390 99144 99960 102060 105840 107163 110160 112455 115668 119070 119952 122472 123930 128520 134946 136080 142884 144585 148716 149940 153090 154224 158760 165240 173502 174960 178605 179928 185895 190512 192780 198288 199920 202419 204120 214326 224910 231336 238140 244944 247860 257040 260253 269892 285768 289170 297432 299880 306180 317520 330480 337365 347004 357210 359856 371790 385560 404838 408240 428652 433755 449820 462672 476280 495720 520506 535815 539784 571536 578340 594864 599760 607257 612360 674730 694008 714420 743580 771120 809676 857304 867510 899640 952560 991440 1012095 1041012 1071630 1079568 1156680 1214514 1224720 1301265 1349460 1388016 1428840 1487160 1619352 1714608 1735020 1799280 1821771 2024190 2082024 2143260 2313360 2429028 2602530 2698920 2857680 2974320 3036285 3238704 3470040 3643542 4048380 4164048 4286520 4858056 5205060 5397840 6072570 6940080 7287084 8096760 8573040 9108855 9716112 10410120 12145140 14574168 16193520 18217710 20820240 24290280 29148336 36435420 48580560 72870840 145741680
- Sum of all divisors σ(n): 625942080
- Sum of proper divisors (its aliquot sum) s(n): 480200400
- 145741680 is an abundant number, because the sum of its proper divisors (480200400) is greater than itself. Its abundance is 334458720
Bases of 145741680
- Binary: 10001010111111010111011100002
- Hexadecimal: 0x8AFD770
- Base-36: 2ERR00
Squares and roots of 145741680
- 145741680 squared (1457416802) is 21240637289222400
- 145741680 cubed (1457416803) is 3095646162801918469632000
-
The
square root of 145741680 is 12072.3518835395 -
The
cube root of 145741680 is 526.2530070935
Scales and comparisons
How big is 145741680?- 145,741,680 seconds is equal to 4 years, 32 weeks, 6 days, 19 hours, 48 minutes.
-
To count from 1 to 145,741,680 would take you about six 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 145741680 cubic inches would be around 43.9 feet tall.
Recreational maths with 145741680
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