134938166400
134,938,166,400 is an even composite number composed of six prime numbers multiplied together.
134938166400 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 134938166400:
27 × 32 × 52 × 17 × 232 × 521
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 5 × 17 × 23 × 23 × 521)See below for interesting mathematical facts about the number 134938166400 from the Numbermatics database.
Names of 134938166400
- Cardinal: 134938166400 can be written as One hundred thirty-four billion, nine hundred thirty-eight million, one hundred sixty-six thousand, four hundred.
Scientific notation
- Scientific notation: 1.349381664 × 1011
Factors of 134938166400
Divisors of 134938166400
- Number of divisors d(n): 864
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 16 17 18 20 23 24 25 30 32 34 36 40 45 46 48 50 51 60 64 68 69 72 75 80 85 90 92 96 100 102 115 120 128 136 138 144 150 153 160 170 180 184 192 200 204 207 225 230 240 255 272 276 288 300 306 320 340 345 360 368 384 391 400 408 414 425 450 460 480 510 521 529 544 552 575 576 600 612 640 680 690 720 736 765 782 800 816 828 850 900 920 960 1020 1035 1042 1058 1088 1104 1150 1152 1173 1200 1224 1275 1360 1380 1440 1472 1530 1563 1564 1587 1600 1632 1656 1700 1725 1800 1840 1920 1955 2040 2070 2084 2116 2176 2208 2300 2346 2400 2448 2550 2605 2645 2720 2760 2880 2944 3060 3126 3128 3174 3200 3264 3312 3400 3450 3519 3600 3680 3825 3910 4080 4140 4168 4232 4416 4600 4689 4692 4761 4800 4896 5100 5175 5210 5290 5440 5520 5760 5865 6120 6252 6256 6348 6528 6624 6800 6900 7038 7200 7360 7650 7815 7820 7935 8160 8280 8336 8464 8832 8857 8993 9200 9378 9384 9522 9600 9775 9792 10200 10350 10420 10580 10880 11040 11730 11983 12240 12504 12512 12696 13025 13225 13248 13600 13800 14076 14400 14720 15300 15630 15640 15870 16320 16560 16672 16928 17595 17714 17986 18400 18756 18768 19044 19550 19584 20400 20700 20840 21160 22080 23445 23460 23805 23966 24480 25008 25024 25392 26050 26450 26496 26571 26979 27200 27600 28152 28800 29325 30600 31260 31280 31740 32640 33120 33344 33856 35190 35428 35949 35972 36800 37512 37536 38088 39075 39100 39675 40800 41400 41680 42320 44160 44285 44965 46890 46920 47610 47932 48960 50016 50048 50784 52100 52900 53142 53958 54400 55200 56304 58650 59915 61200 62520 62560 63480 66240 66688 67712 70380 70856 71898 71944 73600 75024 75072 76176 78150 78200 79350 79713 80937 81600 82800 83360 84640 87975 88570 89930 93780 93840 95220 95864 97920 100032 101568 104200 105800 106284 107847 107916 110400 112608 117225 117300 119025 119830 122400 125040 125120 126960 132480 132855 134895 140760 141712 143796 143888 150048 150144 152352 156300 156400 158700 159426 161874 163200 165600 166720 169280 175950 177140 179745 179860 187560 187680 190440 191728 200064 203136 203711 208400 211600 212568 215694 215832 220800 221425 224825 225216 234450 234600 238050 239660 244800 250080 250240 253920 265710 269790 275609 281520 283424 287592 287776 299575 300096 304704 312600 312800 317400 318852 323748 331200 333440 338560 351900 354280 359490 359720 375120 375360 380880 383456 398565 404685 407422 416800 423200 425136 431388 431664 442850 449650 450432 468900 469200 476100 479320 489600 500160 507840 531420 539235 539580 551218 563040 566848 575184 575552 599150 600192 609408 611133 625200 625600 634800 637704 647496 662400 664275 674475 703800 708560 718980 719440 750240 750720 761760 766912 797130 809370 814844 826827 833600 846400 850272 862776 863328 885700 898725 899300 937800 938400 952200 958640 1000320 1015680 1018555 1062840 1078470 1079160 1102436 1126080 1133696 1150368 1151104 1198300 1222266 1250400 1251200 1269600 1275408 1294992 1328550 1348950 1378045 1407600 1417120 1437960 1438880 1500480 1523520 1533824 1594260 1618740 1629688 1653654 1667200 1692800 1700544 1725552 1726656 1771400 1797450 1798600 1833399 1875600 1876800 1904400 1917280 1992825 2023425 2037110 2125680 2156940 2158320 2204872 2252160 2300736 2396600 2444532 2480481 2500800 2539200 2550816 2589984 2657100 2696175 2697900 2756090 2815200 2834240 2875920 2877760 3000960 3047040 3055665 3188520 3237480 3259376 3307308 3401088 3451104 3453312 3542800 3594900 3597200 3666798 3751200 3753600 3808800 3834560 3985650 4046850 4074220 4134135 4251360 4313880 4316640 4409744 4601472 4685353 4793200 4889064 4960962 5001600 5078400 5092775 5101632 5179968 5314200 5392350 5395800 5512180 5630400 5668480 5751840 5755520 6111330 6377040 6474960 6518752 6614616 6890225 6902208 7085600 7189800 7194400 7333596 7502400 7617600 7669120 7971300 8093700 8148440 8268270 8502720 8627760 8633280 8819488 9166995 9370706 9586400 9778128 9921924 10185550 10203264 10359936 10628400 10784700 10791600 11024360 11260800 11503680 12222660 12402405 12754080 12949920 13037504 13229232 13780450 13804416 14056059 14171200 14379600 14388800 14667192 15004800 15235200 15278325 15942600 16187400 16296880 16536540 17005440 17255520 17266560 17638976 18333990 18741412 19172800 19556256 19843848 20371100 20670675 21256800 21569400 21583200 22048720 23007360 23426765 24445320 24804810 25508160 25899840 26075008 26458464 27560900 28112118 28342400 28759200 28777600 29334384 30556650 31885200 32374800 32593760 33073080 34511040 35277952 36667980 37482824 38345600 39112512 39687696 40742200 41341350 42168177 42513600 43138800 43166400 44097440 45834975 46853530 48890640 49609620 51016320 51799680 52916928 55121800 56224236 57518400 58668768 61113300 62012025 63770400 64749600 65187520 66146160 69022080 70280295 73335960 74965648 78225024 79375392 81484400 82682700 84336354 85027200 86277600 86332800 88194880 91669950 93707060 97781280 99219240 105833856 110243600 112448472 115036800 117133825 117337536 122226600 124024050 127540800 129499200 130375040 132292320 140560590 146671920 149931296 158750784 162968800 165365400 168672708 172555200 176389760 183339900 187414120 195562560 198438480 210840885 220487200 224896944 234267650 234675072 244453200 248048100 255081600 258998400 264584640 281121180 293343840 299862592 317501568 325937600 330730800 337345416 345110400 351401475 366679800 374828240 391125120 396876960 421681770 440974400 449793888 468535300 488906400 496096200 529169280 562242360 586687680 599725184 651875200 661461600 674690832 702802950 733359600 749656480 793753920 843363540 881948800 899587776 937070600 977812800 992192400 1054204425 1124484720 1173375360 1322923200 1349381664 1405605900 1466719200 1499312960 1587507840 1686727080 1799175552 1874141200 1955625600 1984384800 2108408850 2248969440 2645846400 2698763328 2811211800 2933438400 2998625920 3373454160 3748282400 3968769600 4216817700 4497938880 5397526656 5622423600 5866876800 6746908320 7496564800 7937539200 8433635400 8995877760 11244847200 13493816640 14993129600 16867270800 22489694400 26987633280 33734541600 44979388800 67469083200 134938166400
- Sum of all divisors σ(n): 533965706820
- Sum of proper divisors (its aliquot sum) s(n): 399027540420
- 134938166400 is an abundant number, because the sum of its proper divisors (399027540420) is greater than itself. Its abundance is 264089374020
Bases of 134938166400
- Binary: 11111011010101111000100000100100000002
- Hexadecimal: 0x1F6AF10480
- Base-36: 1PZMP7K0
Squares and roots of 134938166400
- 134938166400 squared (1349381664002) is 18208308751394088960000
- 134938166400 cubed (1349381664003) is 2456995796158191808060882944000000
-
The
square root of 134938166400 is 367339.3069084767 -
The
cube root of 134938166400 is 5129.1445058389
Scales and comparisons
How big is 134938166400?- 134,938,166,400 seconds is equal to 4,290 years, 32 weeks, 8 hours.
-
To count from 1 to 134,938,166,400 would take you about eight thousand, five hundred eighty-one 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 134938166400 cubic inches would be around 427.4 feet tall.
Recreational maths with 134938166400
- 134938166400 backwards is 004661839431
- 134938166400 is a
Harshad number . - The number of decimal digits it has is: 12
- The sum of 134938166400's digits is 45
- More coming soon!
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The information we have on file for 134938166400 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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