34134134400
34,134,134,400 is an even composite number composed of six prime numbers multiplied together.
34134134400 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 34134134400:
27 × 33 × 52 × 23 × 89 × 193
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 5 × 5 × 23 × 89 × 193)See below for interesting mathematical facts about the number 34134134400 from the Numbermatics database.
Names of 34134134400
- Cardinal: 34134134400 can be written as Thirty-four billion, one hundred thirty-four million, one hundred thirty-four thousand, four hundred.
Scientific notation
- Scientific notation: 3.41341344 × 1010
Factors of 34134134400
Divisors of 34134134400
- Number of divisors d(n): 768
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 16 18 20 23 24 25 27 30 32 36 40 45 46 48 50 54 60 64 69 72 75 80 89 90 92 96 100 108 115 120 128 135 138 144 150 160 178 180 184 192 193 200 207 216 225 230 240 267 270 276 288 300 320 345 356 360 368 384 386 400 414 432 445 450 460 480 534 540 552 575 576 579 600 621 640 675 690 712 720 736 772 800 801 828 864 890 900 920 960 965 1035 1068 1080 1104 1150 1152 1158 1200 1242 1335 1350 1380 1424 1440 1472 1544 1600 1602 1656 1725 1728 1737 1780 1800 1840 1920 1930 2047 2070 2136 2160 2208 2225 2300 2316 2400 2403 2484 2670 2700 2760 2848 2880 2895 2944 3088 3105 3200 3204 3312 3450 3456 3474 3560 3600 3680 3860 4005 4094 4140 4272 4320 4416 4439 4450 4600 4632 4800 4806 4825 4968 5175 5211 5340 5400 5520 5696 5760 5790 6141 6176 6210 6408 6624 6675 6900 6948 7120 7200 7360 7720 8010 8188 8280 8544 8640 8685 8832 8878 8900 9200 9264 9600 9612 9650 9936 10235 10350 10422 10680 10800 11040 11392 11580 12015 12282 12352 12420 12816 13248 13317 13350 13800 13896 14240 14400 14475 14720 15440 15525 16020 16376 16560 17088 17177 17280 17370 17756 17800 18400 18423 18528 19224 19300 19872 20025 20470 20700 20844 21360 21600 22080 22195 23160 24030 24564 24704 24840 25632 26055 26496 26634 26700 27600 27792 28480 28800 28950 30705 30880 31050 32040 32752 33120 34176 34354 34740 35512 35600 36800 36846 37056 38448 38600 39744 39951 40050 40940 41400 41688 42720 43200 43425 44160 44390 46320 48060 49128 49680 51175 51264 51531 52110 53268 53400 55200 55269 55584 56960 57900 60075 61410 61760 62100 64080 65504 66240 66585 68708 69480 71024 71200 73600 73692 74112 76896 77200 79488 79902 80100 81880 82800 83376 85440 85885 86400 86850 88780 92115 92640 96120 98256 99360 102350 102528 103062 104220 106536 106800 110400 110538 110975 111168 115800 119853 120150 122820 123520 124200 128160 130275 131008 132480 133170 137416 138960 142048 142400 147384 153525 153792 154400 154593 159804 160200 163760 165600 166752 170880 171770 173700 177560 184230 185280 192240 196512 198720 199755 204700 206124 208440 213072 213600 220800 221076 221950 222336 231600 239706 240300 245640 248400 256320 257655 260550 262016 266340 274832 276345 277920 284096 284800 294768 307050 307584 308800 309186 319608 320400 327520 331200 332925 333504 343540 347400 355120 368460 370560 384480 393024 395071 397440 399510 409400 412248 416880 426144 427200 429425 442152 443900 460575 463200 463779 479412 480600 491280 496800 512640 515310 521100 532680 549664 552690 555840 568192 589536 599265 614100 617600 618372 639216 640800 655040 662400 665850 667008 687080 694800 710240 736920 768960 772965 786048 790142 799020 818800 824496 833760 852288 854400 858850 884304 887800 921150 926400 927558 958824 961200 982560 993600 998775 1030620 1042200 1065360 1099328 1105380 1111680 1179072 1185213 1198530 1228200 1236744 1278432 1281600 1288275 1310080 1331700 1374160 1381725 1389600 1420480 1473840 1537920 1545930 1580284 1598040 1637600 1648992 1667520 1704576 1717700 1768608 1775600 1842300 1852800 1855116 1917648 1922400 1965120 1975355 1987200 1997550 2061240 2084400 2130720 2198656 2210760 2318895 2358144 2370426 2397060 2456400 2473488 2556864 2563200 2576550 2663400 2748320 2763450 2779200 2840960 2947680 2996325 3091860 3160568 3196080 3275200 3297984 3335040 3435400 3537216 3551200 3555639 3684600 3710232 3835296 3844800 3864825 3930240 3950710 3995100 4122480 4168800 4261440 4421520 4637790 4740852 4794120 4912800 4946976 5113728 5153100 5326800 5496640 5526900 5558400 5895360 5926065 5992650 6183720 6321136 6392160 6550400 6595968 6870800 7074432 7102400 7111278 7369200 7420464 7670592 7689600 7729650 7901420 7990200 8244960 8337600 8522880 8843040 9275580 9481704 9588240 9825600 9876775 9893952 10306200 10653600 10666917 10993280 11053800 11594475 11790720 11852130 11985300 12367440 12642272 12784320 13741600 14204800 14222556 14738400 14840928 15341184 15459300 15802840 15980400 16489920 16675200 17686080 17778195 18551160 18963408 19176480 19651200 19753550 19787904 20612400 21307200 21333834 22107600 23188950 23704260 23970600 24734880 25284544 25568640 27483200 28445112 29476800 29630325 29681856 30918600 31605680 31960800 32979840 35372160 35556390 37102320 37926816 38352960 39507100 41224800 42614400 42667668 44215200 46377900 47408520 47941200 49469760 50569088 53334585 54966400 56890224 58953600 59260650 59363712 61837200 63211360 63921600 71112780 74204640 75853632 76705920 79014200 82449600 85335336 88430400 88890975 92755800 94817040 95882400 98939520 106669170 113780448 118521300 123674400 126422720 127843200 142225560 148409280 151707264 158028400 164899200 170670672 176860800 177781950 185511600 189634080 191764800 213338340 227560896 237042600 247348800 252845440 266672925 284451120 296818560 316056800 341341344 355563900 371023200 379268160 383529600 426676680 455121792 474085200 494697600 533345850 568902240 632113600 682682688 711127800 742046400 758536320 853353360 948170400 1066691700 1137804480 1264227200 1365365376 1422255600 1484092800 1706706720 1896340800 2133383400 2275608960 2844511200 3413413440 3792681600 4266766800 5689022400 6826826880 8533533600 11378044800 17067067200 34134134400
- Sum of all divisors σ(n): 132500448000
- Sum of proper divisors (its aliquot sum) s(n): 98366313600
- 34134134400 is an abundant number, because the sum of its proper divisors (98366313600) is greater than itself. Its abundance is 64232179200
Bases of 34134134400
- Binary: 111111100101000110110001110100000002
- Hexadecimal: 0x7F28D8E80
- Base-36: FOIKYO0
Squares and roots of 34134134400
- 34134134400 squared (341341344002) is 1165139131237263360000
- 34134134400 cubed (341341344003) is 39771015700351985818435584000000
-
The
square root of 34134134400 is 184754.2540782215 -
The
cube root of 34134134400 is 3243.8664404057
Scales and comparisons
How big is 34134134400?- 34,134,134,400 seconds is equal to 1,085 years, 18 weeks, 5 days.
-
To count from 1 to 34,134,134,400 would take you about two thousand, one hundred seventy 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 34134134400 cubic inches would be around 270.3 feet tall.
Recreational maths with 34134134400
- 34134134400 backwards is 00443143143
- 34134134400 is a
Harshad number . - The number of decimal digits it has is: 11
- The sum of 34134134400's digits is 27
- More coming soon!
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The information we have on file for 34134134400 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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