12318134400
12,318,134,400 is an even composite number composed of six prime numbers multiplied together.
12318134400 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of seven hundred sixty-eight divisors.
Prime factorization of 12318134400:
27 × 33 × 52 × 11 × 13 × 997
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 5 × 5 × 11 × 13 × 997)See below for interesting mathematical facts about the number 12318134400 from the Numbermatics database.
Names of 12318134400
- Cardinal: 12318134400 can be written as Twelve billion, three hundred eighteen million, one hundred thirty-four thousand, four hundred.
Scientific notation
- Scientific notation: 1.23181344 × 1010
Factors of 12318134400
Divisors of 12318134400
- Number of divisors d(n): 768
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 11 12 13 15 16 18 20 22 24 25 26 27 30 32 33 36 39 40 44 45 48 50 52 54 55 60 64 65 66 72 75 78 80 88 90 96 99 100 104 108 110 117 120 128 130 132 135 143 144 150 156 160 165 176 180 192 195 198 200 208 216 220 225 234 240 260 264 270 275 286 288 297 300 312 320 325 330 351 352 360 384 390 396 400 416 429 432 440 450 468 480 495 520 528 540 550 572 576 585 594 600 624 640 650 660 675 702 704 715 720 780 792 800 825 832 858 864 880 900 936 960 975 990 997 1040 1056 1080 1100 1144 1152 1170 1188 1200 1248 1287 1300 1320 1350 1404 1408 1430 1440 1485 1560 1584 1600 1650 1664 1716 1728 1755 1760 1800 1872 1920 1950 1980 1994 2080 2112 2145 2160 2200 2288 2340 2376 2400 2475 2496 2574 2600 2640 2700 2808 2860 2880 2925 2970 2991 3120 3168 3200 3300 3432 3456 3510 3520 3575 3600 3744 3861 3900 3960 3988 4160 4224 4290 4320 4400 4576 4680 4752 4800 4950 4985 4992 5148 5200 5280 5400 5616 5720 5760 5850 5940 5982 6240 6336 6435 6600 6864 7020 7040 7150 7200 7425 7488 7722 7800 7920 7976 8320 8580 8640 8775 8800 8973 9152 9360 9504 9600 9900 9970 10296 10400 10560 10725 10800 10967 11232 11440 11700 11880 11964 12480 12672 12870 12961 13200 13728 14040 14300 14400 14850 14955 14976 15444 15600 15840 15952 17160 17280 17550 17600 17946 18304 18720 19008 19305 19800 19940 20592 20800 21120 21450 21600 21934 22464 22880 23400 23760 23928 24925 24960 25740 25922 26400 26919 27456 28080 28600 28800 29700 29910 30888 31200 31680 31904 32175 32901 34320 35100 35200 35892 37440 38016 38610 38883 39600 39880 41184 41600 42900 43200 43868 44865 44928 45760 46800 47520 47856 49850 51480 51844 52800 53838 54835 54912 56160 57200 59400 59820 61776 62400 63360 63808 64350 64805 65802 68640 70200 71784 74775 74880 77220 77766 79200 79760 82368 85800 86400 87736 89730 91520 93600 95040 95712 96525 98703 99700 102960 103688 105600 107676 109670 112320 114400 116649 118800 119640 123552 124800 127616 128700 129610 131604 134595 137280 140400 142571 143568 149550 154440 155532 158400 159520 164505 164736 171600 175472 179460 187200 190080 191424 193050 194415 197406 199400 205920 207376 215352 219340 224325 224640 228800 233298 237600 239280 247104 257400 259220 263208 269190 274175 274560 280800 285142 287136 296109 299100 308880 311064 316800 319040 324025 329010 343200 349947 350944 358920 374400 382848 386100 388830 394812 398800 411840 414752 427713 430704 438680 448650 457600 466596 475200 478560 493515 494208 514800 518440 526416 538380 548350 561600 570284 574272 583245 592218 598200 617760 622128 638080 648050 658020 672975 686400 699894 701888 712855 717840 772200 777660 789624 797600 822525 823680 829504 855426 861408 877360 897300 933192 950400 957120 972075 987030 1029600 1036880 1052832 1076760 1096700 1123200 1140568 1148544 1166490 1184436 1196400 1235520 1244256 1283139 1296100 1316040 1345950 1372800 1399788 1403776 1425710 1435680 1480545 1544400 1555320 1579248 1595200 1645050 1659008 1710852 1722816 1749735 1754720 1794600 1866384 1914240 1944150 1974060 2059200 2073760 2105664 2138565 2153520 2193400 2281136 2332980 2368872 2392800 2467575 2471040 2488512 2566278 2592200 2632080 2691900 2799576 2851420 2871360 2916225 2961090 3088800 3110640 3158496 3190400 3290100 3421704 3445632 3499470 3509440 3564275 3589200 3732768 3849417 3888300 3948120 4118400 4147520 4211328 4277130 4307040 4386800 4562272 4665960 4737744 4785600 4935150 4977024 5132556 5184400 5264160 5383800 5599152 5702840 5742720 5832450 5922180 6177600 6221280 6316992 6415695 6580200 6843408 6998940 7018880 7128550 7178400 7402725 7465536 7698834 7776600 7896240 8295040 8554260 8614080 8748675 8773600 9124544 9331920 9475488 9571200 9870300 10265112 10368800 10528320 10692825 10767600 11198304 11405680 11664900 11844360 12355200 12442560 12633984 12831390 13160400 13686816 13997880 14257100 14356800 14805450 14931072 15397668 15553200 15792480 17108520 17228160 17497350 17547200 18249088 18663840 18950976 19247085 19740600 20530224 20737600 21056640 21385650 21535200 22396608 22811360 23329800 23688720 24885120 25662780 26320800 27373632 27995760 28514200 28713600 29610900 30795336 31106400 31584960 32078475 34217040 34994700 35094400 37327680 37901952 38494170 39481200 41060448 41475200 42771300 43070400 44793216 45622720 46659600 47377440 51325560 52641600 54747264 55991520 57028400 59221800 61590672 62212800 63169920 64156950 68434080 69989400 74655360 76988340 78962400 82120896 85542600 86140800 91245440 93319200 94754880 96235425 102651120 105283200 111983040 114056800 118443600 123181344 124425600 128313900 136868160 139978800 153976680 157924800 164241792 171085200 186638400 189509760 192470850 205302240 223966080 228113600 236887200 246362688 256627800 273736320 279957600 307953360 315849600 342170400 373276800 384941700 410604480 456227200 473774400 492725376 513255600 559915200 615906720 684340800 769883400 821208960 947548800 1026511200 1119830400 1231813440 1368681600 1539766800 2053022400 2463626880 3079533600 4106044800 6159067200 12318134400
- Sum of all divisors σ(n): 53015356800
- Sum of proper divisors (its aliquot sum) s(n): 40697222400
- 12318134400 is an abundant number, because the sum of its proper divisors (40697222400) is greater than itself. Its abundance is 28379088000
Bases of 12318134400
- Binary: 10110111100011011111010000100000002
- Hexadecimal: 0x2DE37D080
- Base-36: 5NPWDC0
Squares and roots of 12318134400
- 12318134400 squared (123181344002) is 151736435096463360000
- 12318134400 cubed (123181344003) is 1869109800895112633155584000000
-
The
square root of 12318134400 is 110987.0911412675 -
The
cube root of 12318134400 is 2309.4841148533
Scales and comparisons
How big is 12318134400?- 12,318,134,400 seconds is equal to 391 years, 35 weeks, 2 days.
-
To count from 1 to 12,318,134,400 would take you about seven hundred eighty-three 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 12318134400 cubic inches would be around 192.5 feet tall.
Recreational maths with 12318134400
- 12318134400 backwards is 00443181321
- 12318134400 is a
Harshad number . - The number of decimal digits it has is: 11
- The sum of 12318134400's digits is 27
- More coming soon!
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"Number 12318134400 - Facts about the integer". Numbermatics.com. 2024. Web. 8 June 2024.
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The information we have on file for 12318134400 includes mathematical data and numerical statistics calculated using standard algorithms and methods. We are adding more all the time. If there are any features you would like to see, please contact us. Information provided for educational use, intellectual curiosity and fun!
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