145356120
145,356,120 is an even composite number composed of seven prime numbers multiplied together.
145356120 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of six hundred forty divisors.
Prime factorization of 145356120:
23 × 34 × 5 × 7 × 13 × 17 × 29
(2 × 2 × 2 × 3 × 3 × 3 × 3 × 5 × 7 × 13 × 17 × 29)See below for interesting mathematical facts about the number 145356120 from the Numbermatics database.
Names of 145356120
- Cardinal: 145356120 can be written as One hundred forty-five million, three hundred fifty-six thousand, one hundred twenty.
Scientific notation
- Scientific notation: 1.4535612 × 108
Factors of 145356120
Divisors of 145356120
- Number of divisors d(n): 640
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Complete list of divisors:
1 2 3 4 5 6 7 8 9 10 12 13 14 15 17 18 20 21 24 26 27 28 29 30 34 35 36 39 40 42 45 51 52 54 56 58 60 63 65 68 70 72 78 81 84 85 87 90 91 102 104 105 108 116 117 119 120 126 130 135 136 140 145 153 156 162 168 170 174 180 182 189 195 203 204 210 216 221 232 234 238 252 255 260 261 270 273 280 290 306 312 315 324 340 348 351 357 360 364 377 378 390 405 406 408 420 435 442 455 459 468 476 493 504 510 520 522 540 546 567 580 585 595 609 612 630 648 663 680 696 702 714 728 754 756 765 780 783 810 812 819 840 870 884 910 918 936 945 952 986 1015 1020 1044 1053 1071 1080 1092 1105 1131 1134 1160 1170 1190 1218 1224 1260 1305 1326 1365 1377 1404 1428 1479 1508 1512 1530 1547 1560 1566 1620 1624 1638 1740 1755 1768 1785 1820 1827 1836 1885 1890 1972 1989 2030 2040 2088 2106 2142 2184 2210 2262 2268 2295 2340 2349 2380 2436 2457 2465 2520 2610 2639 2652 2730 2754 2808 2835 2856 2958 3016 3045 3060 3094 3132 3213 3240 3276 3315 3393 3451 3480 3510 3570 3640 3654 3672 3770 3780 3915 3944 3978 4060 4095 4212 4284 4420 4437 4524 4536 4590 4641 4680 4698 4760 4872 4914 4930 5220 5265 5278 5304 5355 5460 5481 5508 5655 5670 5916 5967 6090 6120 6188 6264 6409 6426 6552 6630 6786 6885 6902 7020 7140 7308 7371 7395 7540 7560 7735 7830 7917 7956 8120 8190 8424 8568 8840 8874 9048 9135 9180 9282 9396 9639 9828 9860 9945 10179 10353 10440 10530 10556 10710 10920 10962 11016 11310 11340 11745 11832 11934 12180 12285 12376 12818 12852 13195 13260 13311 13572 13770 13804 13923 14040 14280 14616 14742 14790 15080 15470 15660 15834 15912 16065 16380 16443 16965 17255 17748 17901 18270 18360 18564 18792 19227 19278 19656 19720 19890 20358 20706 21060 21112 21420 21924 22185 22620 22680 23205 23490 23751 23868 24360 24570 25636 25704 26390 26520 26622 27144 27405 27540 27608 27846 29484 29580 29835 30537 30940 31059 31320 31668 32045 32130 32760 32886 33930 34510 35496 35802 36540 36855 37128 38454 38556 39585 39780 39933 40716 41412 41769 42120 42840 43848 44370 44863 45240 46410 46980 47502 47736 48195 49140 50895 51272 51765 52780 53244 54810 55080 55692 57681 58968 59160 59670 61074 61880 62118 63336 64090 64260 65772 66555 67860 69020 69615 71253 71604 73080 73710 76908 77112 79170 79560 79866 81432 82215 82824 83538 88740 89505 89726 92820 93177 93960 95004 96135 96390 98280 101790 103530 105560 106488 109620 111384 115362 118755 119340 122148 124236 125307 128180 128520 131544 133110 134589 135720 138040 139230 142506 143208 147420 152685 153816 155295 158340 159732 164430 167076 173043 177480 179010 179452 185640 186354 190008 192270 192780 199665 203580 207060 208845 213759 219240 224315 230724 237510 238680 244296 248472 250614 256360 266220 269178 278460 279531 285012 288405 294840 305370 310590 316680 319464 328860 334152 346086 356265 358020 358904 372708 384540 385560 399330 403767 407160 414120 417690 427518 448630 461448 465885 475020 501228 519129 532440 538356 556920 559062 570024 576810 610740 621180 626535 657720 672945 692172 712530 716040 745416 769080 798660 807534 835380 855036 865215 897260 931770 950040 1002456 1038258 1068795 1076712 1118124 1153620 1211301 1221480 1242360 1253070 1345890 1384344 1397655 1425060 1597320 1615068 1670760 1710072 1730430 1794520 1863540 2018835 2076516 2137590 2236248 2307240 2422602 2506140 2595645 2691780 2795310 2850120 3230136 3460860 3633903 3727080 4037670 4153032 4275180 4845204 5012280 5191290 5383560 5590620 6056505 6921720 7267806 8075340 8550360 9690408 10382580 11181240 12113010 14535612 16150680 18169515 20765160 24226020 29071224 36339030 48452040 72678060 145356120
- Sum of all divisors σ(n): 658627200
- Sum of proper divisors (its aliquot sum) s(n): 513271080
- 145356120 is an abundant number, because the sum of its proper divisors (513271080) is greater than itself. Its abundance is 367914960
Bases of 145356120
- Binary: 10001010100111110101010110002
- Hexadecimal: 0x8A9F558
- Base-36: 2EJHI0
Squares and roots of 145356120
- 145356120 squared (1453561202) is 21128401621454400
- 145356120 cubed (1453561203) is 3071142481496320340928000
-
The
square root of 145356120 is 12056.3725888013 -
The
cube root of 145356120 is 525.7885293527
Scales and comparisons
How big is 145356120?- 145,356,120 seconds is equal to 4 years, 32 weeks, 2 days, 8 hours, 42 minutes.
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To count from 1 to 145,356,120 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 145356120 cubic inches would be around 43.8 feet tall.
Recreational maths with 145356120
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