4138828960000
4,138,828,960,000 is an even composite number composed of six prime numbers multiplied together.
4138828960000 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of seven hundred twenty divisors.
Prime factorization of 4138828960000:
28 × 54 × 7 × 29 × 79 × 1613
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 5 × 5 × 7 × 29 × 79 × 1613)See below for interesting mathematical facts about the number 4138828960000 from the Numbermatics database.
Names of 4138828960000
- Cardinal: 4138828960000 can be written as Four trillion, one hundred thirty-eight billion, eight hundred twenty-eight million, nine hundred sixty thousand.
Scientific notation
- Scientific notation: 4.13882896 × 1012
Factors of 4138828960000
Divisors of 4138828960000
- Number of divisors d(n): 720
-
Complete list of divisors:
1 2 4 5 7 8 10 14 16 20 25 28 29 32 35 40 50 56 58 64 70 79 80 100 112 116 125 128 140 145 158 160 175 200 203 224 232 250 256 280 290 316 320 350 395 400 406 448 464 500 553 560 580 625 632 640 700 725 790 800 812 875 896 928 1000 1015 1106 1120 1160 1250 1264 1280 1400 1450 1580 1600 1613 1624 1750 1792 1856 1975 2000 2030 2212 2240 2291 2320 2500 2528 2765 2800 2900 3160 3200 3226 3248 3500 3625 3712 3950 4000 4060 4375 4424 4480 4582 4640 5000 5056 5075 5530 5600 5800 6320 6400 6452 6496 7000 7250 7424 7900 8000 8065 8120 8750 8848 8960 9164 9280 9875 10000 10112 10150 11060 11200 11291 11455 11600 12640 12904 12992 13825 14000 14500 15800 16000 16037 16130 16240 17500 17696 18125 18328 18560 19750 20000 20224 20300 22120 22400 22582 22910 23200 25280 25375 25808 25984 27650 28000 29000 31600 32000 32074 32260 32480 35000 35392 36250 36656 37120 39500 40000 40325 40600 44240 44800 45164 45820 46400 46777 49375 50560 50750 51616 51968 55300 56000 56455 57275 58000 63200 64148 64520 64960 69125 70000 70784 72500 73312 79000 80000 80185 80650 81200 88480 90328 91640 92800 93554 98750 101120 101500 103232 110600 112000 112910 114550 116000 126400 126875 127427 128296 129040 129920 138250 140000 141568 145000 146624 158000 160000 160370 161300 162400 176960 180656 183280 185600 187108 197500 201625 203000 206464 221200 224000 225820 229100 232000 233885 252800 253750 254854 256592 258080 259840 276500 280000 282275 286375 290000 293248 316000 320740 322600 324800 327439 345625 353920 361312 366560 374216 395000 400925 403250 406000 412928 442400 451640 458200 464000 467770 505600 507500 509708 513184 516160 553000 560000 564550 572750 580000 586496 632000 637135 641480 645200 649600 654878 691250 707840 722624 733120 748432 790000 801850 806500 812000 884800 891989 903280 916400 928000 935540 1008125 1015000 1019416 1026368 1032320 1106000 1120000 1129100 1145500 1160000 1169425 1264000 1274270 1282960 1290400 1299200 1309756 1382500 1411375 1431875 1445248 1466240 1496864 1580000 1603700 1613000 1624000 1637195 1769600 1783978 1806560 1832800 1871080 2004625 2016250 2030000 2038832 2052736 2064640 2212000 2258200 2291000 2320000 2338850 2528000 2548540 2565920 2580800 2619512 2765000 2822750 2863750 2890496 2932480 2993728 3160000 3185675 3207400 3226000 3248000 3274390 3539200 3567956 3613120 3665600 3695383 3742160 4009250 4032500 4060000 4077664 4105472 4424000 4459945 4516400 4582000 4640000 4677700 5097080 5131840 5161600 5239024 5530000 5645500 5727500 5847125 5987456 6320000 6371350 6414800 6452000 6496000 6548780 7056875 7135912 7226240 7331200 7390766 7484320 8018500 8065000 8120000 8155328 8185975 8848000 8919890 9032800 9164000 9355400 10023125 10194160 10263680 10323200 10478048 11060000 11291000 11455000 11694250 11974912 12640000 12742700 12829600 12904000 13097560 14113750 14271824 14452480 14662400 14781532 14968640 15928375 16037000 16130000 16240000 16310656 16371950 17696000 17839780 18065600 18328000 18476915 18710800 20046250 20388320 20527360 20956096 22120000 22299725 22582000 22910000 23388500 25485400 25659200 25808000 25867681 26195120 28227500 28543648 29235625 29563064 29937280 31856750 32074000 32260000 32480000 32621312 32743900 35679560 36131200 36656000 36953830 37421600 40092500 40776640 40929875 41912192 44240000 44599450 45164000 45820000 46777000 50970800 51318400 51616000 51735362 52390240 56455000 57087296 58471250 59126128 59874560 63713500 64148000 64520000 65487800 71359120 72262400 73312000 73907660 74843200 79641875 80185000 81553280 81859750 83824384 88480000 89198900 90328000 91640000 92384575 93554000 101941600 102636800 103470724 104780480 111498625 112910000 114174592 116942500 118252256 127427000 128296000 129040000 129338405 130975600 142718240 147815320 149686400 159283750 160370000 163106560 163719500 178397800 180656000 183280000 184769150 187108000 203883200 204649375 206941448 209560960 222997250 225820000 228349184 233885000 236504512 254854000 256592000 258080000 258676810 261951200 285436480 295630640 299372800 318567500 320740000 327439000 356795600 361312000 366560000 369538300 374216000 407766400 409298750 413882896 419121920 445994500 451640000 461922875 467770000 473009024 509708000 513184000 517353620 523902400 557493125 570872960 591261280 637135000 641480000 646692025 654878000 713591200 739076600 748432000 815532800 818597500 827765792 891989000 903280000 923845750 935540000 946018048 1019416000 1034707240 1047804800 1114986250 1141745920 1182522560 1274270000 1282960000 1293384050 1309756000 1427182400 1478153200 1496864000 1637195000 1655531584 1783978000 1806560000 1847691500 1871080000 2038832000 2069414480 2095609600 2229972500 2309614375 2365045120 2548540000 2565920000 2586768100 2619512000 2854364800 2956306400 3233460125 3274390000 3311063168 3567956000 3695383000 3742160000 4077664000 4138828960 4459945000 4619228750 4730090240 5097080000 5173536200 5239024000 5708729600 5912612800 6466920250 6548780000 6622126336 7135912000 7390766000 7484320000 8277657920 8919890000 9238457500 10194160000 10347072400 10478048000 11825225600 12933840500 13097560000 14271824000 14781532000 16167300625 16555315840 17839780000 18476915000 20388320000 20694144800 23650451200 25867681000 26195120000 28543648000 29563064000 32334601250 33110631680 35679560000 36953830000 41388289600 51735362000 52390240000 59126128000 64669202500 71359120000 73907660000 82776579200 103470724000 118252256000 129338405000 142718240000 147815320000 165553158400 206941448000 258676810000 295630640000 413882896000 517353620000 591261280000 827765792000 1034707240000 2069414480000 4138828960000
- Sum of all divisors σ(n): 12367351180800
- Sum of proper divisors (its aliquot sum) s(n): 8228522220800
- 4138828960000 is an abundant number, because the sum of its proper divisors (8228522220800) is greater than itself. Its abundance is 4089693260800
Bases of 4138828960000
- Binary: 1111000011101001010110111000010001000000002
- Hexadecimal: 0x3C3A56E1100
- Base-36: 1GTCNWG74
Squares and roots of 4138828960000
- 4138828960000 squared (41388289600002) is 17129905160134681600000000
- 4138828960000 cubed (41388289600003) is 70897747558818857706459136000000000000
-
The
square root of 4138828960000 is 2034411.2072046793 -
The
cube root of 4138828960000 is 16055.5736247811
Scales and comparisons
How big is 4138828960000?- 4,138,828,960,000 seconds is equal to 131,601 years, 49 weeks, 5 days, 23 hours, 6 minutes, 40 seconds.
-
To count from 1 to 4,138,828,960,000 would take you about three hundred twenty-nine thousand and 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 4138828960000 cubic inches would be around 1338 feet tall.
Recreational maths with 4138828960000
- 4138828960000 backwards is 0000698288314
- The number of decimal digits it has is: 13
- The sum of 4138828960000's digits is 49
- More coming soon!
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