514039680
514,039,680 is an even composite number composed of seven prime numbers multiplied together.
514039680 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of seven hundred sixty-eight divisors.
Prime factorization of 514039680:
27 × 32 × 5 × 7 × 11 × 19 × 61
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 7 × 11 × 19 × 61)See below for interesting mathematical facts about the number 514039680 from the Numbermatics database.
Names of 514039680
- Cardinal: 514039680 can be written as Five hundred fourteen million, thirty-nine thousand, six hundred eighty.
Scientific notation
- Scientific notation: 5.1403968 × 108
Factors of 514039680
Divisors of 514039680
- Number of divisors d(n): 768
-
Complete list of divisors:
1 2 3 4 5 6 7 8 9 10 11 12 14 15 16 18 19 20 21 22 24 28 30 32 33 35 36 38 40 42 44 45 48 55 56 57 60 61 63 64 66 70 72 76 77 80 84 88 90 95 96 99 105 110 112 114 120 122 126 128 132 133 140 144 152 154 160 165 168 171 176 180 183 190 192 198 209 210 220 224 228 231 240 244 252 264 266 280 285 288 304 305 308 315 320 330 336 342 352 360 366 380 384 385 396 399 418 420 427 440 448 456 462 480 488 495 504 528 532 549 560 570 576 608 610 616 627 630 640 660 665 671 672 684 693 704 720 732 760 770 792 798 836 840 854 855 880 896 912 915 924 960 976 990 1008 1045 1056 1064 1098 1120 1140 1152 1155 1159 1197 1216 1220 1232 1254 1260 1281 1320 1330 1342 1344 1368 1386 1408 1440 1463 1464 1520 1540 1584 1596 1672 1680 1708 1710 1760 1824 1830 1848 1881 1920 1952 1980 1995 2013 2016 2090 2112 2128 2135 2196 2240 2280 2310 2318 2394 2432 2440 2464 2508 2520 2562 2640 2660 2684 2688 2736 2745 2772 2880 2926 2928 3040 3080 3135 3168 3192 3344 3355 3360 3416 3420 3465 3477 3520 3648 3660 3696 3762 3843 3904 3960 3990 4026 4032 4180 4224 4256 4270 4389 4392 4480 4560 4620 4636 4697 4788 4880 4928 5016 5040 5124 5280 5320 5368 5472 5490 5544 5760 5795 5852 5856 5985 6039 6080 6160 6270 6336 6384 6405 6688 6710 6720 6832 6840 6930 6954 7040 7296 7315 7320 7392 7524 7686 7808 7920 7980 8052 8064 8113 8360 8512 8540 8778 8784 9120 9240 9272 9394 9405 9576 9760 9856 10032 10065 10080 10248 10431 10560 10640 10736 10944 10980 11088 11590 11704 11712 11970 12078 12160 12320 12540 12672 12749 12768 12810 13167 13376 13420 13440 13664 13680 13860 13908 14091 14630 14640 14784 15048 15372 15840 15960 16104 16226 16720 17024 17080 17385 17556 17568 18240 18480 18544 18788 18810 19152 19215 19520 20064 20130 20160 20496 20862 21120 21280 21472 21888 21945 21960 22176 23180 23408 23424 23485 23940 24156 24339 24640 25080 25498 25536 25620 26334 26752 26840 27328 27360 27720 27816 28182 29260 29280 29568 30096 30195 30744 31680 31920 32208 32452 33440 34160 34770 35112 35136 36480 36960 37088 37576 37620 38247 38304 38430 39040 40128 40260 40320 40565 40992 41724 42273 42560 42944 43890 43920 44352 46360 46816 46970 47880 48312 48678 49280 50160 50996 51072 51240 52155 52668 53680 54656 54720 55440 55632 56364 58520 58560 60192 60390 61488 63360 63745 63840 64416 64904 65835 66880 68320 69540 70224 70272 70455 73017 73920 74176 75152 75240 76494 76608 76860 80256 80520 81130 81984 83448 84546 85120 85888 87780 87840 88704 89243 92720 93632 93940 95760 96624 97356 100320 101992 102480 104310 105336 107360 109440 110880 111264 112728 114741 117040 117120 120384 120780 121695 122976 127490 127680 128832 129808 131670 133760 136640 139080 140448 140910 146034 147840 148352 150304 150480 152988 153216 153720 161040 162260 163968 166896 169092 175560 175680 178486 185440 187264 187880 191235 191520 193248 194712 200640 203984 204960 208620 210672 211365 214720 221760 222528 225456 229482 234080 240768 241560 243390 245952 254980 255360 257664 259616 263340 267729 273280 278160 280896 281820 292068 300608 300960 305976 307440 322080 324520 333792 338184 351120 351360 356972 365085 370880 375760 382470 383040 386496 389424 401280 407968 409920 417240 421344 422730 429440 443520 445056 446215 450912 458964 468160 483120 486780 491904 509960 519232 526680 535458 556320 561792 563640 573705 584136 601216 601920 611952 614880 644160 649040 667584 676368 702240 713944 730170 741760 751520 764940 766080 772992 778848 803187 815936 819840 834480 842688 845460 892430 901824 917928 936320 966240 973560 1019920 1038464 1053360 1070916 1112640 1127280 1147410 1168272 1203840 1223904 1229760 1288320 1298080 1335168 1338645 1352736 1404480 1427888 1460340 1503040 1529880 1557696 1606374 1631872 1668960 1685376 1690920 1784860 1803648 1835856 1932480 1947120 2039840 2106720 2141832 2225280 2254560 2294820 2336544 2447808 2459520 2596160 2677290 2705472 2808960 2855776 2920680 3006080 3059760 3115392 3212748 3337920 3381840 3569720 3671712 3864960 3894240 4015935 4079680 4213440 4283664 4509120 4589640 4673088 4895616 5192320 5354580 5410944 5711552 5841360 6119520 6425496 6675840 6763680 7139440 7343424 7788480 8031870 8159360 8426880 8567328 9018240 9179280 9346176 10709160 11423104 11682720 12239040 12850992 13527360 14278880 14686848 15576960 16063740 17134656 18358560 21418320 23365440 24478080 25701984 27054720 28557760 32127480 34269312 36717120 42836640 46730880 51403968 57115520 64254960 73434240 85673280 102807936 128509920 171346560 257019840 514039680
- Sum of all divisors σ(n): 2367705600
- Sum of proper divisors (its aliquot sum) s(n): 1853665920
- 514039680 is an abundant number, because the sum of its proper divisors (1853665920) is greater than itself. Its abundance is 1339626240
Bases of 514039680
- Binary: 111101010001110011111100000002
- Hexadecimal: 0x1EA39F80
- Base-36: 8I1NK0
Squares and roots of 514039680
- 514039680 squared (5140396802) is 264236792614502400
- 514039680 cubed (5140396803) is 135828196319785177055232000
-
The
square root of 514039680 is 22672.4431855061 -
The
cube root of 514039680 is 801.0609257571
Scales and comparisons
How big is 514039680?- 514,039,680 seconds is equal to 16 years, 17 weeks, 6 days, 12 hours, 48 minutes.
-
To count from 1 to 514,039,680 would take you about twenty-four 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 514039680 cubic inches would be around 66.8 feet tall.
Recreational maths with 514039680
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