13729215504000
13,729,215,504,000 is an even composite number composed of six prime numbers multiplied together.
13729215504000 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 13729215504000:
27 × 3 × 53 × 172 × 257 × 3851
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 5 × 17 × 17 × 257 × 3851)See below for interesting mathematical facts about the number 13729215504000 from the Numbermatics database.
Names of 13729215504000
- Cardinal: 13729215504000 can be written as Thirteen trillion, seven hundred twenty-nine billion, two hundred fifteen million, five hundred four thousand.
Scientific notation
- Scientific notation: 1.3729215504 × 1013
Factors of 13729215504000
Divisors of 13729215504000
- Number of divisors d(n): 768
-
Complete list of divisors:
1 2 3 4 5 6 8 10 12 15 16 17 20 24 25 30 32 34 40 48 50 51 60 64 68 75 80 85 96 100 102 120 125 128 136 150 160 170 192 200 204 240 250 255 257 272 289 300 320 340 375 384 400 408 425 480 500 510 514 544 578 600 640 680 750 771 800 816 850 867 960 1000 1020 1028 1088 1156 1200 1275 1285 1360 1445 1500 1542 1600 1632 1700 1734 1920 2000 2040 2056 2125 2176 2312 2400 2550 2570 2720 2890 3000 3084 3200 3264 3400 3468 3851 3855 4000 4080 4112 4250 4335 4369 4624 4800 5100 5140 5440 5780 6000 6168 6375 6425 6528 6800 6936 7225 7702 7710 8000 8160 8224 8500 8670 8738 9248 9600 10200 10280 10880 11553 11560 12000 12336 12750 12850 13107 13600 13872 14450 15404 15420 16000 16320 16448 17000 17340 17476 18496 19255 19275 20400 20560 21675 21845 23106 23120 24000 24672 25500 25700 26214 27200 27744 28900 30808 30840 32125 32640 32896 34000 34680 34952 36125 36992 38510 38550 40800 41120 43350 43690 46212 46240 48000 49344 51000 51400 52428 54400 55488 57765 57800 61616 61680 64250 65467 65535 68000 69360 69904 72250 74273 77020 77100 81600 82240 86700 87380 92424 92480 96275 96375 98688 102000 102800 104856 108375 109225 110976 115530 115600 123232 123360 128500 130934 131070 136000 138720 139808 144500 148546 154040 154200 163200 164480 173400 174760 184848 184960 192550 192750 196401 204000 205600 209712 216750 218450 222819 231060 231200 246464 246720 257000 261868 262140 272000 277440 279616 288825 289000 297092 308080 308400 327335 327675 346800 349520 369696 371365 385100 385500 392802 408000 411200 419424 433500 436900 445638 462120 462400 481375 492928 493440 514000 523736 524280 546125 554880 559232 577650 578000 594184 616160 616800 654670 655350 693600 699040 739392 742730 770200 771000 785604 816000 822400 838848 867000 873800 891276 924240 924800 962750 982005 989707 1028000 1047472 1048560 1092250 1112939 1114095 1155300 1156000 1188368 1232320 1233600 1309340 1310700 1387200 1398080 1444125 1478784 1485460 1540400 1542000 1571208 1636675 1638375 1677696 1734000 1747600 1782552 1848480 1856825 1925500 1964010 1979414 2056000 2094944 2097120 2184500 2225878 2228190 2310600 2312000 2376736 2464640 2467200 2618680 2621400 2774400 2796160 2888250 2969121 2970920 3080800 3084000 3142416 3273350 3276750 3338817 3468000 3495200 3565104 3696960 3713650 3851000 3928020 3958828 4112000 4189888 4194240 4369000 4451756 4456380 4621200 4624000 4753472 4910025 4948535 5237360 5242800 5564695 5570475 5776500 5938242 5941840 6161600 6168000 6284832 6546700 6553500 6677634 6936000 6990400 7130208 7393920 7427300 7702000 7856040 7917656 8183375 8379776 8388480 8738000 8903512 8912760 9242400 9284125 9506944 9820050 9897070 10474720 10485600 11129390 11140950 11553000 11876484 11883680 12323200 12336000 12569664 13093400 13107000 13355268 13872000 13980800 14260416 14845605 14854600 15404000 15712080 15835312 16366750 16694085 16825019 17476000 17807024 17825520 18484800 18568250 19640100 19794140 20949440 20971200 22258780 22281900 23106000 23752968 23767360 24550125 24742675 25139328 26186800 26214000 26710536 27823475 27852375 28520832 29691210 29709200 30808000 31424160 31670624 32733500 33388170 33650038 34952000 35614048 35651040 36969600 37136500 39280200 39588280 41898880 41942400 44517560 44563800 46212000 47505936 47534720 49100250 49485350 50475057 52373600 52428000 53421072 55646950 55704750 59382420 59418400 61616000 62848320 63341248 65467000 66776340 67300076 69904000 71228096 71302080 74228025 74273000 78560400 79176560 83470425 84125095 89035120 89127600 92424000 95011872 98200500 98970700 100950114 104747200 104856000 106842144 111293900 111409500 118764840 118836800 123713375 125696640 126682496 130934000 133552680 134600152 139117375 142456192 142604160 148456050 148546000 157120800 158353120 166940850 168250190 178070240 178255200 184848000 190023744 196401000 197941400 201900228 209494400 209712000 213684288 222587800 222819000 237529680 237673600 247426750 252375285 261868000 267105360 269200304 278234750 286025323 296912100 297092000 314241600 316706240 333881700 336500380 356140480 356510400 371140125 380047488 392802000 395882800 403800456 417352125 420625475 427368576 445175600 445638000 475059360 494853500 504750570 523736000 534210720 538400608 556469500 572050646 593824200 594184000 628483200 633412480 667763400 673000760 712280960 713020800 742280250 785604000 791765600 807600912 834704250 841250950 858075969 890351200 891276000 950118720 989707000 1009501140 1047472000 1068421440 1076801216 1112939000 1144101292 1187648400 1188368000 1261876425 1335526800 1346001520 1430126615 1484560500 1571208000 1583531200 1615201824 1669408500 1682501900 1716151938 1780702400 1782552000 1900237440 1979414000 2019002280 2103127375 2136842880 2153602432 2225878000 2288202584 2375296800 2523752850 2671053600 2692003040 2860253230 2969121000 3142416000 3167062400 3230403648 3338817000 3365003800 3432303876 3561404800 3565104000 3958828000 4038004560 4206254750 4290379845 4451756000 4576405168 4750593600 5047505700 5342107200 5384006080 5720506460 5938242000 6309382125 6460807296 6677634000 6730007600 6864607752 7150633075 7917656000 8076009120 8412509500 8580759690 8903512000 9152810336 9501187200 10095011400 10684214400 10768012160 11441012920 11876484000 12618764250 13355268000 13460015200 13729215504 14301266150 15835312000 16152018240 16825019000 17161519380 17807024000 18305620672 20190022800 21451899225 22882025840 23752968000 25237528500 26710536000 26920030400 27458431008 28602532300 32304036480 33650038000 34323038760 35753165375 36611241344 40380045600 42903798450 45764051680 47505936000 50475057000 53421072000 53840060800 54916862016 57205064600 67300076000 68646077520 71506330750 80760091200 85807596900 91528103360 100950114000 107259496125 109833724032 114410129200 134600152000 137292155040 143012661500 161520182400 171615193800 183056206720 201900228000 214518992250 228820258400 269200304000 274584310080 286025323000 343230387600 403800456000 429037984500 457640516800 549168620160 572050646000 686460775200 807600912000 858075969000 915281033600 1144101292000 1372921550400 1716151938000 2288202584000 2745843100800 3432303876000 4576405168000 6864607752000 13729215504000
- Sum of all divisors σ(n): 48547752589440
- Sum of proper divisors (its aliquot sum) s(n): 34818537085440
- 13729215504000 is an abundant number, because the sum of its proper divisors (34818537085440) is greater than itself. Its abundance is 21089321581440
Bases of 13729215504000
- Binary: 110001111100100101010000001101011110100000002
- Hexadecimal: 0xC7C95035E80
- Base-36: 4V744FLHC
Squares and roots of 13729215504000
- 13729215504000 squared (137292155040002) is 188491358355273974016000000
- 13729215504000 cubed (137292155040003) is 2587838479501247384228160344064000000000
-
The
square root of 13729215504000 is 3705295.6027825905 -
The
cube root of 13729215504000 is 23945.0220164995
Scales and comparisons
How big is 13729215504000?- 13,729,215,504,000 seconds is equal to 436,546 years, 30 weeks, 3 days, 5 hours, 20 minutes.
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To count from 1 to 13,729,215,504,000 would take you about one million, ninety-one thousand, three hundred sixty-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 13729215504000 cubic inches would be around 1995.4 feet tall.
Recreational maths with 13729215504000
- 13729215504000 backwards is 00040551292731
- The number of decimal digits it has is: 14
- The sum of 13729215504000's digits is 39
- More coming soon!
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