106680134400
106,680,134,400 is an even composite number composed of six prime numbers multiplied together.
What does the number 106680134400 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 864 divisors.
106680134400 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of eight hundred sixty-four divisors.
Prime factorization of 106680134400:
28 × 3 × 52 × 73 × 97 × 167
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 7 × 7 × 7 × 97 × 167)See below for interesting mathematical facts about the number 106680134400 from the Numbermatics database.
Names of 106680134400
- Cardinal: 106680134400 can be written as One hundred six billion, six hundred eighty million, one hundred thirty-four thousand, four hundred.
Scientific notation
- Scientific notation: 1.066801344 × 1011
Factors of 106680134400
Divisors of 106680134400
- Number of divisors d(n): 864
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Complete list of divisors:
1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 25 28 30 32 35 40 42 48 49 50 56 60 64 70 75 80 84 96 97 98 100 105 112 120 128 140 147 150 160 167 168 175 192 194 196 200 210 224 240 245 256 280 291 294 300 320 334 336 343 350 384 388 392 400 420 448 480 485 490 501 525 560 582 588 600 640 668 672 679 686 700 735 768 776 784 800 835 840 896 960 970 980 1002 1029 1050 1120 1164 1169 1176 1200 1225 1280 1336 1344 1358 1372 1400 1455 1470 1552 1568 1600 1670 1680 1715 1792 1920 1940 1960 2004 2037 2058 2100 2240 2328 2338 2352 2400 2425 2450 2505 2672 2688 2716 2744 2800 2910 2940 3104 3136 3200 3340 3360 3395 3430 3507 3675 3840 3880 3920 4008 4074 4116 4175 4200 4480 4656 4676 4704 4753 4800 4850 4900 5010 5145 5344 5376 5432 5488 5600 5820 5845 5880 6208 6272 6400 6680 6720 6790 6860 7014 7275 7350 7760 7840 8016 8148 8183 8232 8350 8400 8575 8960 9312 9352 9408 9506 9600 9700 9800 10020 10185 10290 10688 10864 10976 11200 11640 11690 11760 12416 12525 12544 13360 13440 13580 13720 14028 14259 14550 14700 15520 15680 16032 16199 16296 16366 16464 16700 16800 16975 17150 17535 18624 18704 18816 19012 19200 19400 19600 20040 20370 20580 21376 21728 21952 22400 23280 23380 23520 23765 24549 24832 25050 25725 26720 26880 27160 27440 28056 28518 29100 29225 29400 31040 31360 32064 32398 32592 32732 32928 33271 33400 33600 33950 34300 35070 37248 37408 37632 38024 38800 39200 40080 40740 40915 41160 42752 43456 43904 44800 46560 46760 47040 47530 48597 49098 50100 50925 51450 53440 54320 54880 56112 57036 57281 58200 58450 58800 62080 62720 64128 64796 65184 65464 65856 66542 66800 67200 67900 68600 70140 71295 74496 74816 76048 77600 78400 80160 80995 81480 81830 82320 86912 87675 87808 93120 93520 94080 95060 97194 98196 99813 100200 101850 102900 106880 108640 109760 112224 113393 114072 114562 116400 116900 117600 118825 122745 124160 128256 129592 130368 130928 131712 133084 133600 134400 135800 137200 140280 142590 149632 152096 155200 156800 160320 161990 162960 163660 164640 166355 171843 173824 175350 186240 187040 188160 190120 194388 196392 199626 200400 203700 204575 205800 213760 217280 219520 224448 226786 228144 229124 232800 233800 235200 237650 242985 245490 259184 260736 261856 263424 266168 267200 271600 274400 280560 285180 286405 299264 304192 310400 313600 320640 323980 325920 327320 329280 332710 340179 343686 350700 356475 372480 374080 380240 388776 392784 399252 400800 404975 407400 409150 411600 434560 439040 448896 453572 456288 458248 465600 467600 470400 475300 485970 490980 499065 518368 521472 523712 532336 534400 543200 548800 561120 566965 570360 572810 608384 613725 620800 641280 647960 651840 654640 658560 665420 680358 687372 701400 712950 748160 760480 777552 785568 793751 798504 801600 809950 814800 818300 823200 831775 859215 869120 897792 907144 912576 916496 931200 935200 940800 950600 971940 981960 998130 1036736 1047424 1064672 1068800 1086400 1097600 1122240 1133930 1140720 1145620 1214925 1216768 1227450 1295920 1303680 1309280 1317120 1330840 1360716 1374744 1402800 1425900 1432025 1496320 1520960 1555104 1571136 1587502 1597008 1603200 1619900 1629600 1636600 1646400 1663550 1700895 1718430 1814288 1825152 1832992 1862400 1870400 1901200 1943880 1963920 1996260 2073472 2094848 2129344 2172800 2195200 2244480 2267860 2281440 2291240 2381253 2429850 2454900 2495325 2591840 2607360 2618560 2661680 2721432 2749488 2805600 2834825 2851800 2864050 3041920 3110208 3142272 3175004 3194016 3206400 3239800 3259200 3273200 3292800 3327100 3401790 3436860 3628576 3650304 3665984 3740800 3802400 3887760 3927840 3968755 3992520 4146944 4258688 4296075 4345600 4488960 4535720 4562880 4582480 4762506 4859700 4909800 4990650 5183680 5237120 5323360 5442864 5498976 5556257 5611200 5669650 5703600 5728100 6083840 6220416 6284544 6350008 6388032 6479600 6518400 6546400 6585600 6654200 6803580 6873720 7257152 7331968 7481600 7604800 7775520 7855680 7937510 7985040 8504475 8517376 8592150 9071440 9125760 9164960 9525012 9719400 9819600 9981300 10367360 10474240 10646720 10885728 10997952 11112514 11222400 11339300 11407200 11456200 11906265 12440832 12700016 12776064 12959200 13036800 13092800 13308400 13607160 13747440 14514304 14663936 15209600 15551040 15711360 15875020 15970080 16668771 17008950 17184300 18142880 18251520 18329920 19050024 19438800 19639200 19843775 19962600 20734720 21293440 21771456 21995904 22225028 22444800 22678600 22814400 22912400 23812530 25400032 25552128 25918400 26185600 26616800 27214320 27494880 27781285 29028608 30419200 31102080 31422720 31750040 31940160 33337542 34017900 34368600 36285760 36659840 38100048 38877600 39278400 39687550 39925200 42586880 43542912 43991808 44450056 45357200 45628800 45824800 47625060 50800064 51836800 52371200 53233600 54428640 54989760 55562570 59531325 62204160 63500080 63880320 66675084 68035800 68737200 72571520 73319680 76200096 77755200 78556800 79375100 79850400 83343855 87085824 88900112 90714400 91257600 91649600 95250120 101600128 103673600 106467200 108857280 109979520 111125140 119062650 127000160 127760640 133350168 136071600 137474400 138906425 145143040 152400192 155510400 157113600 158750200 159700800 166687710 177800224 181428800 183299200 190500240 203200256 212934400 217714560 219959040 222250280 238125300 254000320 266700336 272143200 274948800 277812850 304800384 311020800 317500400 319401600 333375420 355600448 362857600 366598400 381000480 416719275 435429120 444500560 476250600 508000640 533400672 544286400 549897600 555625700 609600768 635000800 638803200 666750840 711200896 725715200 762000960 833438550 889001120 952501200 1016001280 1066801344 1088572800 1099795200 1111251400 1270001600 1333501680 1422401792 1524001920 1666877100 1778002240 1905002400 2133602688 2177145600 2222502800 2540003200 2667003360 3048003840 3333754200 3556004480 3810004800 4267205376 4445005600 5080006400 5334006720 6667508400 7112008960 7620009600 8890011200 10668013440 13335016800 15240019200 17780022400 21336026880 26670033600 35560044800 53340067200 106680134400
- Sum of all divisors σ(n): 417289958400
- Sum of proper divisors (its aliquot sum) s(n): 310609824000
- 106680134400 is an abundant number, because the sum of its proper divisors (310609824000) is greater than itself. Its abundance is 203929689600
Bases of 106680134400
- Binary: 11000110101101010000110101011000000002
- Hexadecimal: 0x18D6A1AB00
- Base-36: 1D0ALIIO
Squares and roots of 106680134400
- 106680134400 squared (1066801344002) is 11380651075602063360000
- 106680134400 cubed (1066801344003) is 1214089386304732680162115584000000
-
The
square root of 106680134400 is 326619.2498919805 -
The
cube root of 106680134400 is 4742.7239946307
Scales and comparisons
How big is 106680134400?- 106,680,134,400 seconds is equal to 3,392 years, 5 weeks, 18 hours, 40 minutes.
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To count from 1 to 106,680,134,400 would take you about six thousand, seven hundred eighty-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 106680134400 cubic inches would be around 395.2 feet tall.
Recreational maths with 106680134400
- 106680134400 backwards is 004431086601
- The number of decimal digits it has is: 12
- The sum of 106680134400's digits is 33
- More coming soon!
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