104354006400
104,354,006,400 is an even composite number composed of five prime numbers multiplied together.
104354006400 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of eight hundred sixty-four divisors.
Prime factorization of 104354006400:
27 × 33 × 52 × 72 × 1572
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 5 × 5 × 7 × 7 × 157 × 157)See below for interesting mathematical facts about the number 104354006400 from the Numbermatics database.
Names of 104354006400
- Cardinal: 104354006400 can be written as One hundred four billion, three hundred fifty-four million, six thousand, four hundred.
Scientific notation
- Scientific notation: 1.043540064 × 1011
Factors of 104354006400
Divisors of 104354006400
- Number of divisors d(n): 864
-
Complete list of divisors:
1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 20 21 24 25 27 28 30 32 35 36 40 42 45 48 49 50 54 56 60 63 64 70 72 75 80 84 90 96 98 100 105 108 112 120 126 128 135 140 144 147 150 157 160 168 175 180 189 192 196 200 210 216 224 225 240 245 252 270 280 288 294 300 314 315 320 336 350 360 378 384 392 400 420 432 441 448 450 471 480 490 504 525 540 560 576 588 600 628 630 640 672 675 700 720 735 756 784 785 800 840 864 882 896 900 942 945 960 980 1008 1050 1080 1099 1120 1152 1176 1200 1225 1256 1260 1323 1344 1350 1400 1413 1440 1470 1512 1568 1570 1575 1600 1680 1728 1764 1800 1884 1890 1920 1960 2016 2100 2160 2198 2205 2240 2352 2355 2400 2450 2512 2520 2646 2688 2700 2800 2826 2880 2940 3024 3136 3140 3150 3200 3297 3360 3456 3528 3600 3675 3768 3780 3920 3925 4032 4200 4239 4320 4396 4410 4480 4704 4710 4725 4800 4900 5024 5040 5292 5400 5495 5600 5652 5760 5880 6048 6272 6280 6300 6594 6615 6720 7056 7065 7200 7350 7536 7560 7693 7840 7850 8064 8400 8478 8640 8792 8820 9408 9420 9450 9600 9800 9891 10048 10080 10584 10800 10990 11025 11200 11304 11760 11775 12096 12560 12600 13188 13230 13440 14112 14130 14400 14700 15072 15120 15386 15680 15700 16485 16800 16956 17280 17584 17640 18816 18840 18900 19600 19782 20096 20160 21168 21195 21600 21980 22050 22400 22608 23079 23520 23550 24192 24649 25120 25200 26376 26460 27475 28224 28260 28800 29400 29673 30144 30240 30772 31360 31400 32970 33075 33600 33912 35168 35280 35325 37680 37800 38465 39200 39564 40320 42336 42390 43200 43960 44100 45216 46158 47040 47100 49298 49455 50240 50400 52752 52920 54950 56448 56520 58800 59346 60288 60480 61544 62800 65940 66150 67200 67824 69237 70336 70560 70650 73947 75360 75600 76930 78400 79128 82425 84672 84780 86400 87920 88200 90432 92316 94080 94200 98596 98910 100480 100800 105504 105840 105975 109900 113040 115395 117600 118692 120960 123088 123245 125600 131880 132300 135648 138474 140672 141120 141300 147894 148365 150720 151200 153860 156800 158256 164850 169344 169560 172543 175840 176400 180864 184632 188400 192325 197192 197820 201600 207711 211008 211680 211950 219800 221841 226080 230790 235200 237384 246176 246490 247275 251200 263760 264600 271296 276948 282240 282600 295788 296730 301440 302400 307720 316512 329700 339120 345086 346185 351680 352800 369264 369735 376800 384650 394384 395640 415422 422016 423360 423900 439600 443682 452160 461580 470400 474768 492352 492980 494550 502400 517629 527520 529200 542592 553896 565200 576975 591576 593460 604800 615440 616225 633024 659400 665523 678240 690172 692370 703360 705600 738528 739470 741825 753600 769300 788768 791280 830844 846720 847800 862715 879200 887364 904320 923160 949536 984704 985960 989100 1035258 1038555 1055040 1058400 1107792 1109205 1130400 1153950 1183152 1186920 1207801 1230880 1232450 1266048 1318800 1331046 1356480 1380344 1384740 1411200 1477056 1478940 1483650 1507200 1538600 1552887 1577536 1582560 1661688 1695600 1725430 1730925 1758400 1774728 1846320 1848675 1899072 1971920 1978200 2070516 2077110 2110080 2116800 2215584 2218410 2260800 2307900 2366304 2373840 2415602 2461760 2464900 2588145 2637600 2662092 2712960 2760688 2769480 2954112 2957880 2967300 3077200 3105774 3155072 3165120 3323376 3327615 3391200 3450860 3461850 3516800 3549456 3623403 3692640 3697350 3798144 3943840 3956400 4141032 4154220 4233600 4313575 4431168 4436820 4521600 4615800 4658661 4732608 4747680 4831204 4923520 4929800 5176290 5192775 5275200 5324184 5521376 5538960 5546025 5915760 5934600 6039005 6154400 6211548 6330240 6646752 6655230 6782400 6901720 6923700 7098912 7246806 7385280 7394700 7764435 7887680 7912800 8282064 8308440 8627150 8862336 8873640 9231600 9317322 9465216 9495360 9662408 9859600 10352580 10385550 10550400 10648368 10870209 11042752 11077920 11092050 11831520 11869200 12078010 12308800 12423096 12940725 13293504 13310460 13564800 13803440 13847400 14197824 14493612 14770560 14789400 15528870 15775360 15825600 16564128 16616880 16638075 17254300 17747280 18117015 18463200 18634644 18990720 19324816 19719200 20705160 20771100 21296736 21740418 22085504 22155840 22184100 23293305 23663040 23738400 24156020 24617600 24846192 25881450 26587008 26620920 27606880 27694800 28395648 28987224 29578800 30195025 31057740 31651200 32610627 33128256 33233760 33276150 34508600 35494560 36234030 36926400 37269288 38649632 38822175 39438400 41410320 41542200 42593472 43480836 44311680 44368200 46586610 47326080 47476800 48312040 49692384 51762900 53241840 54351045 55213760 55389600 57974448 59157600 60390050 62115480 65221254 66256512 66467520 66552300 69017200 70989120 72468060 73852800 74538576 77299264 77644350 78876800 82820640 83084400 85186944 86961672 88736400 90585075 93173220 94953600 96624080 99384768 103525800 106483680 108702090 110427520 110779200 115948896 116466525 118315200 120780100 124230960 130442508 132935040 133104600 138034400 141978240 144936120 149077152 154598528 155288700 163053135 165641280 166168800 173923344 177472800 181170150 186346440 193248160 198769536 207051600 212967360 217404180 221558400 231897792 232933050 236630400 241560200 248461920 260885016 266209200 271755225 276068800 289872240 298154304 310577400 326106270 331282560 332337600 347846688 354945600 362340300 372692880 386496320 414103200 425934720 434808360 463795584 465866100 483120400 496923840 521770032 532418400 543510450 552137600 579744480 596308608 621154800 652212540 664675200 695693376 709891200 724680600 745385760 772992640 815265675 828206400 869616720 931732200 966240800 993847680 1043540064 1064836800 1087020900 1159488960 1242309600 1304425080 1391386752 1449361200 1490771520 1630531350 1656412800 1739233440 1863464400 1932481600 2087080128 2129673600 2174041800 2318977920 2484619200 2608850160 2898722400 2981543040 3261062700 3478466880 3726928800 3864963200 4174160256 4348083600 4969238400 5217700320 5797444800 6522125400 6956933760 7453857600 8696167200 10435400640 11594889600 13044250800 14907715200 17392334400 20870801280 26088501600 34784668800 52177003200 104354006400
- Sum of all divisors σ(n): 447106483800
- Sum of proper divisors (its aliquot sum) s(n): 342752477400
- 104354006400 is an abundant number, because the sum of its proper divisors (342752477400) is greater than itself. Its abundance is 238398471000
Bases of 104354006400
- Binary: 11000010010111111101111000101100000002
- Hexadecimal: 0x184BFBC580
- Base-36: 1BXTOIO0
Squares and roots of 104354006400
- 104354006400 squared (1043540064002) is 10889758651731240960000
- 104354006400 cubed (1043540064003) is 1136389944037217290219782144000000
-
The
square root of 104354006400 is 323038.7072782455 -
The
cube root of 104354006400 is 4707.9991501415
Scales and comparisons
How big is 104354006400?- 104,354,006,400 seconds is equal to 3,318 years, 7 weeks.
-
To count from 1 to 104,354,006,400 would take you about six thousand, six hundred thirty-six 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 104354006400 cubic inches would be around 392.3 feet tall.
Recreational maths with 104354006400
- 104354006400 backwards is 004600453401
- 104354006400 is a
Harshad number . - The number of decimal digits it has is: 12
- The sum of 104354006400's digits is 27
- More coming soon!
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