13686132424704000
13,686,132,424,704,000 is an even composite number composed of four prime numbers multiplied together.
What does the number 13686132424704000 look like?
This visualization shows the relationship between its 4 prime factors (large circles) and 576 divisors.
13686132424704000 is an even composite number. It is composed of four distinct prime numbers multiplied together. It has a total of five hundred seventy-six divisors.
Prime factorization of 13686132424704000:
217 × 3 × 53 × 6533
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 5 × 653 × 653 × 653)See below for interesting mathematical facts about the number 13686132424704000 from the Numbermatics database.
Names of 13686132424704000
- Cardinal: 13686132424704000 can be written as Thirteen quadrillion, six hundred eighty-six trillion, one hundred thirty-two billion, four hundred twenty-four million, seven hundred four thousand.
Scientific notation
- Scientific notation: 1.3686132424704 × 1016
Factors of 13686132424704000
Divisors of 13686132424704000
- Number of divisors d(n): 576
-
Complete list of divisors:
1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 60 64 75 80 96 100 120 125 128 150 160 192 200 240 250 256 300 320 375 384 400 480 500 512 600 640 653 750 768 800 960 1000 1024 1200 1280 1306 1500 1536 1600 1920 1959 2000 2048 2400 2560 2612 3000 3072 3200 3265 3840 3918 4000 4096 4800 5120 5224 6000 6144 6400 6530 7680 7836 8000 8192 9600 9795 10240 10448 12000 12288 12800 13060 15360 15672 16000 16325 16384 19200 19590 20480 20896 24000 24576 25600 26120 30720 31344 32000 32650 32768 38400 39180 40960 41792 48000 48975 49152 51200 52240 61440 62688 64000 65300 65536 76800 78360 81625 81920 83584 96000 97950 98304 102400 104480 122880 125376 128000 130600 131072 153600 156720 163250 163840 167168 192000 195900 196608 204800 208960 244875 245760 250752 256000 261200 307200 313440 326500 327680 334336 384000 391800 393216 409600 417920 426409 489750 491520 501504 512000 522400 614400 626880 653000 655360 668672 768000 783600 819200 835840 852818 979500 983040 1003008 1024000 1044800 1228800 1253760 1279227 1306000 1337344 1536000 1567200 1638400 1671680 1705636 1959000 1966080 2006016 2048000 2089600 2132045 2457600 2507520 2558454 2612000 2674688 3072000 3134400 3276800 3343360 3411272 3918000 4012032 4096000 4179200 4264090 4915200 5015040 5116908 5224000 5349376 6144000 6268800 6396135 6686720 6822544 7836000 8024064 8192000 8358400 8528180 9830400 10030080 10233816 10448000 10660225 10698752 12288000 12537600 12792270 13373440 13645088 15672000 16048128 16384000 16716800 17056360 20060160 20467632 20896000 21320450 21397504 24576000 25075200 25584540 26746880 27290176 31344000 31980675 32096256 33433600 34112720 40120320 40935264 41792000 42640900 42795008 49152000 50150400 51169080 53301125 53493760 54580352 62688000 63961350 64192512 66867200 68225440 80240640 81870528 83584000 85281800 85590016 100300800 102338160 106602250 106987520 109160704 125376000 127922700 128385024 133734400 136450880 159903375 160481280 163741056 167168000 170563600 200601600 204676320 213204500 213975040 218321408 250752000 255845400 256770048 267468800 272901760 278445077 319806750 320962560 327482112 334336000 341127200 401203200 409352640 426409000 427950080 436642816 501504000 511690800 534937600 545803520 556890154 639613500 641925120 654964224 668672000 682254400 802406400 818705280 835335231 852818000 873285632 1003008000 1023381600 1069875200 1091607040 1113780308 1279227000 1283850240 1309928448 1337344000 1364508800 1392225385 1604812800 1637410560 1670670462 1705636000 1746571264 2006016000 2046763200 2139750400 2183214080 2227560616 2558454000 2619856896 2674688000 2729017600 2784450770 3209625600 3274821120 3341340924 3411272000 3493142528 4012032000 4093526400 4176676155 4366428160 4455121232 5116908000 5239713792 5349376000 5458035200 5568901540 6419251200 6549642240 6682681848 6822544000 6961126925 6986285056 8024064000 8187052800 8353352310 8732856320 8910242464 10233816000 10479427584 10698752000 10916070400 11137803080 13099284480 13365363696 13645088000 13922253850 13972570112 16048128000 16374105600 16706704620 17465712640 17820484928 20467632000 20883380775 20958855168 21832140800 22275606160 26198568960 26730727392 27290176000 27844507700 27945140224 32096256000 32748211200 33413409240 34805634625 34931425280 35640969856 40935264000 41766761550 41917710336 43664281600 44551212320 52397137920 53461454784 54580352000 55689015400 55890280448 65496422400 66826818480 69611269250 69862850560 71281939712 81870528000 83533523100 83835420672 87328563200 89102424640 104416903875 104794275840 106922909568 109160704000 111378030800 130992844800 133653636960 139222538500 139725701120 142563879424 163741056000 167067046200 167670841344 174657126400 178204849280 208833807750 209588551680 213845819136 218321408000 222756061600 261985689600 267307273920 278445077000 279451402240 285127758848 327482112000 334134092400 349314252800 356409698560 417667615500 419177103360 427691638272 436642816000 445512123200 523971379200 534614547840 556890154000 570255517696 654964224000 668268184800 698628505600 712819397120 835335231000 838354206720 855383276544 873285632000 891024246400 1047942758400 1069229095680 1113780308000 1140511035392 1309928448000 1336536369600 1397257011200 1425638794240 1670670462000 1710766553088 1746571264000 1782048492800 2095885516800 2138458191360 2227560616000 2281022070784 2619856896000 2673072739200 2851277588480 3341340924000 3421533106176 3493142528000 3564096985600 4191771033600 4276916382720 4455121232000 4562044141568 5239713792000 5346145478400 5702555176960 6682681848000 6843066212352 6986285056000 7128193971200 8553832765440 8910242464000 9124088283136 10479427584000 10692290956800 11405110353920 13365363696000 13686132424704 14256387942400 17107665530880 17820484928000 18248176566272 20958855168000 21384581913600 22810220707840 26730727392000 27372264849408 28512775884800 34215331061760 35640969856000 36496353132544 42769163827200 45620441415680 53461454784000 54744529698816 57025551769600 68430662123520 71281939712000 85538327654400 91240882831360 106922909568000 109489059397632 114051103539200 136861324247040 142563879424000 171076655308800 182481765662720 213845819136000 228102207078400 273722648494080 285127758848000 342153310617600 427691638272000 456204414156800 547445296988160 570255517696000 684306621235200 855383276544000 912408828313600 1140511035392000 1368613242470400 1710766553088000 2281022070784000 2737226484940800 3421533106176000 4562044141568000 6843066212352000 13686132424704000
- Sum of all divisors σ(n): 45617132743116480
- Sum of proper divisors (its aliquot sum) s(n): 31931000318412480
- 13686132424704000 is an abundant number, because the sum of its proper divisors (31931000318412480) is greater than itself. Its abundance is 18244867893708480
Bases of 13686132424704000
- Binary: 1100001001111101110111000001011000011000000000000000002
- Hexadecimal: 0x309F7705860000
- Base-36: 3QRBUFS78QO
Squares and roots of 13686132424704000
- 13686132424704000 squared (136861324247040002) is 187310220746534190229487616000000
- 13686132424704000 cubed (136861324247040003) is 2563552485637605461929934532165620465664000000000
-
The
square root of 13686132424704000 is 116987744.7628767651 -
The
cube root of 13686132424704000 is 239199.4881239443
Scales and comparisons
How big is 13686132424704000?- 13,686,132,424,704,000 seconds is equal to 435,176,677 years, 6 weeks, 1 day, 2 hours, 40 minutes.
-
To count from 1 to 13,686,132,424,704,000 would take you about one billion, three hundred five million, five hundred thirty thousand and thirty-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 13686132424704000 cubic inches would be around 19933.3 feet tall.
Recreational maths with 13686132424704000
- 13686132424704000 backwards is 00040742423168631
- The number of decimal digits it has is: 17
- The sum of 13686132424704000's digits is 51
- More coming soon!
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