468948480
468,948,480 is an even composite number composed of seven prime numbers multiplied together.
468948480 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 468948480:
29 × 3 × 5 × 7 × 11 × 13 × 61
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 7 × 11 × 13 × 61)See below for interesting mathematical facts about the number 468948480 from the Numbermatics database.
Names of 468948480
- Cardinal: 468948480 can be written as Four hundred sixty-eight million, nine hundred forty-eight thousand, four hundred eighty.
Scientific notation
- Scientific notation: 4.6894848 × 108
Factors of 468948480
Divisors of 468948480
- Number of divisors d(n): 640
-
Complete list of divisors:
1 2 3 4 5 6 7 8 10 11 12 13 14 15 16 20 21 22 24 26 28 30 32 33 35 39 40 42 44 48 52 55 56 60 61 64 65 66 70 77 78 80 84 88 91 96 104 105 110 112 120 122 128 130 132 140 143 154 156 160 165 168 176 182 183 192 195 208 210 220 224 231 240 244 256 260 264 273 280 286 305 308 312 320 330 336 352 364 366 384 385 390 416 420 427 429 440 448 455 462 480 488 512 520 528 546 560 572 610 616 624 640 660 671 672 704 715 728 732 768 770 780 793 832 840 854 858 880 896 910 915 924 960 976 1001 1040 1056 1092 1120 1144 1155 1220 1232 1248 1280 1281 1320 1342 1344 1365 1408 1430 1456 1464 1536 1540 1560 1586 1664 1680 1708 1716 1760 1792 1820 1830 1848 1920 1952 2002 2013 2080 2112 2135 2145 2184 2240 2288 2310 2379 2440 2464 2496 2560 2562 2640 2684 2688 2730 2816 2860 2912 2928 3003 3080 3120 3172 3328 3355 3360 3416 3432 3520 3584 3640 3660 3696 3840 3904 3965 4004 4026 4160 4224 4270 4290 4368 4480 4576 4620 4697 4758 4880 4928 4992 5005 5124 5280 5368 5376 5460 5551 5632 5720 5824 5856 6006 6160 6240 6344 6405 6656 6710 6720 6832 6864 7040 7280 7320 7392 7680 7808 7930 8008 8052 8320 8448 8540 8580 8723 8736 8960 9152 9240 9394 9516 9760 9856 9984 10010 10065 10248 10560 10736 10752 10920 11102 11440 11648 11712 11895 12012 12320 12480 12688 12810 13420 13440 13664 13728 14080 14091 14560 14640 14784 15015 15616 15860 16016 16104 16640 16653 16896 17080 17160 17446 17472 17920 18304 18480 18788 19032 19520 19712 19968 20020 20130 20496 21120 21472 21840 22204 22880 23296 23424 23485 23790 24024 24640 24960 25376 25620 26169 26840 26880 27328 27456 27755 28160 28182 29120 29280 29568 30030 31232 31720 32032 32208 33280 33306 34160 34320 34892 34944 36608 36960 37576 38064 39040 39424 40040 40260 40992 42240 42944 43615 43680 44408 45760 46592 46848 46970 47580 48048 49280 49920 50752 51240 52338 53680 53760 54656 54912 55510 56364 58240 58560 59136 60060 61061 63440 64064 64416 66612 68320 68640 69784 69888 70455 73216 73920 75152 76128 78080 80080 80520 81984 83265 84480 85888 87230 87360 88816 91520 93696 93940 95160 96096 98560 99840 101504 102480 104676 107360 109312 109824 111020 112728 116480 117120 118272 120120 122122 126880 128128 128832 130845 133224 136640 137280 139568 139776 140910 147840 150304 152256 156160 160160 161040 163968 166530 171776 174460 174720 177632 183040 183183 187880 190320 192192 197120 203008 204960 209352 214720 218624 219648 222040 225456 232960 234240 240240 244244 253760 256256 257664 261690 266448 273280 274560 279136 281820 295680 300608 304512 305305 320320 322080 327936 333060 343552 348920 349440 355264 366080 366366 375760 380640 384384 406016 409920 418704 429440 444080 450912 468480 480480 488488 507520 512512 515328 523380 532896 546560 549120 558272 563640 591360 601216 609024 610610 640640 644160 655872 666120 697840 698880 710528 732732 751520 761280 768768 819840 837408 858880 888160 901824 915915 960960 976976 1015040 1030656 1046760 1065792 1093120 1098240 1116544 1127280 1202432 1218048 1221220 1281280 1288320 1332240 1395680 1421056 1465464 1503040 1522560 1537536 1639680 1674816 1717760 1776320 1803648 1831830 1921920 1953952 2030080 2093520 2131584 2233088 2254560 2404864 2442440 2562560 2576640 2664480 2791360 2842112 2930928 3006080 3045120 3279360 3349632 3552640 3607296 3663660 3843840 3907904 4187040 4263168 4466176 4509120 4884880 5153280 5328960 5582720 5861856 6012160 6090240 6699264 7105280 7214592 7327320 7687680 7815808 8374080 8526336 9018240 9769760 10657920 11165440 11723712 12024320 13398528 14210560 14654640 15631616 16748160 18036480 19539520 21315840 22330880 23447424 29309280 31263232 33496320 36072960 39079040 42631680 46894848 58618560 66992640 78158080 93789696 117237120 156316160 234474240 468948480
- Sum of all divisors σ(n): 2045869056
- Sum of proper divisors (its aliquot sum) s(n): 1576920576
- 468948480 is an abundant number, because the sum of its proper divisors (1576920576) is greater than itself. Its abundance is 1107972096
Bases of 468948480
- Binary: 110111111001110010110000000002
- Hexadecimal: 0x1BF39600
- Base-36: 7R76YO
Squares and roots of 468948480
- 468948480 squared (4689484802) is 219912676894310400
- 468948480 cubed (4689484803) is 103127715562317982728192000
-
The
square root of 468948480 is 21655.2183087587 -
The
cube root of 468948480 is 776.9177507521
Scales and comparisons
How big is 468948480?- 468,948,480 seconds is equal to 14 years, 47 weeks, 2 days, 15 hours, 28 minutes.
-
To count from 1 to 468,948,480 would take you about twenty-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 468948480 cubic inches would be around 64.7 feet tall.
Recreational maths with 468948480
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