138486527168000
138,486,527,168,000 is an even composite number composed of six prime numbers multiplied together.
What does the number 138486527168000 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 960 divisors.
138486527168000 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of nine hundred sixty divisors.
Prime factorization of 138486527168000:
29 × 53 × 11 × 17 × 312 × 12041
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 5 × 11 × 17 × 31 × 31 × 12041)See below for interesting mathematical facts about the number 138486527168000 from the Numbermatics database.
Names of 138486527168000
- Cardinal: 138486527168000 can be written as One hundred thirty-eight trillion, four hundred eighty-six billion, five hundred twenty-seven million, one hundred sixty-eight thousand.
Scientific notation
- Scientific notation: 1.38486527168 × 1014
Factors of 138486527168000
Divisors of 138486527168000
- Number of divisors d(n): 960
-
Complete list of divisors:
1 2 4 5 8 10 11 16 17 20 22 25 31 32 34 40 44 50 55 62 64 68 80 85 88 100 110 124 125 128 136 155 160 170 176 187 200 220 248 250 256 272 275 310 320 340 341 352 374 400 425 440 496 500 512 527 544 550 620 640 680 682 704 748 775 800 850 880 935 961 992 1000 1054 1088 1100 1240 1280 1360 1364 1375 1408 1496 1550 1600 1700 1705 1760 1870 1922 1984 2000 2108 2125 2176 2200 2480 2560 2635 2720 2728 2750 2816 2992 3100 3200 3400 3410 3520 3740 3844 3875 3968 4000 4216 4250 4352 4400 4675 4805 4960 5270 5440 5456 5500 5632 5797 5984 6200 6400 6800 6820 7040 7480 7688 7750 7936 8000 8432 8500 8525 8704 8800 9350 9610 9920 10540 10571 10880 10912 11000 11594 11968 12041 12400 12800 13175 13600 13640 14080 14960 15376 15500 15872 16000 16337 16864 17000 17050 17600 18700 19220 19840 21080 21142 21760 21824 22000 23188 23375 23936 24025 24082 24800 26350 27200 27280 28160 28985 29920 30752 31000 32000 32674 33728 34000 34100 35200 37400 38440 39680 42160 42284 42625 43520 43648 44000 46376 46750 47872 48050 48164 49600 52700 52855 54400 54560 57970 59840 60205 61504 62000 64000 65348 65875 67456 68000 68200 70400 74800 76880 79360 81685 84320 84568 85250 87296 88000 92752 93500 95744 96100 96328 99200 105400 105710 108800 109120 115940 119680 120125 120410 123008 124000 130696 131750 132451 134912 136000 136400 140800 144925 149600 153760 163370 168640 169136 170500 174592 176000 179707 185504 187000 192200 192656 198400 204697 210800 211420 217600 218240 231880 239360 240250 240820 246016 248000 261392 263500 264275 264902 269824 272000 272800 289850 299200 301025 307520 326740 337280 338272 341000 352000 359414 371008 373271 374000 384400 385312 396800 408425 409394 421600 422840 436480 463760 478720 480500 481640 492032 496000 522784 527000 528550 529804 544000 545600 579700 598400 602050 615040 653480 662255 674560 676544 682000 704000 718828 724625 742016 746542 748000 768800 770624 816850 818788 843200 845680 872960 898535 927520 961000 963280 992000 1023485 1045568 1054000 1057100 1059608 1088000 1091200 1159400 1196800 1204100 1230080 1306960 1321375 1324510 1349120 1353088 1364000 1437656 1449250 1484032 1493084 1496000 1505125 1537600 1541248 1633700 1637576 1686400 1691360 1797070 1855040 1866355 1922000 1926560 1984000 2042125 2046970 2091136 2108000 2114200 2119216 2182400 2251667 2318800 2393600 2408200 2460160 2613920 2642750 2649020 2706176 2728000 2875312 2898500 2968064 2986168 2992000 3010250 3075200 3082496 3267400 3275152 3311275 3372800 3382720 3594140 3710080 3732710 3844000 3853120 4084250 4093940 4105981 4182272 4216000 4228400 4238432 4364800 4492675 4503334 4637600 4816400 5117425 5227840 5285500 5298040 5412352 5456000 5750624 5797000 5972336 5984000 6020500 6150400 6164992 6345607 6534800 6550304 6622550 6745600 6765440 7188280 7420160 7465420 7688000 7706240 8168500 8187880 8211962 8364544 8432000 8456800 8476864 8985350 9006668 9275200 9331775 9632800 10234850 10455680 10571000 10596080 10912000 11258335 11501248 11571401 11594000 11944672 11968000 12041000 12300800 12691214 13069600 13100608 13245100 13530880 14376560 14840320 14930840 15376000 15412480 16337000 16375760 16423924 16556375 16864000 16913600 16953728 17970700 18013336 18550400 18663550 19265600 20469700 20529905 20911360 21142000 21192160 21824000 22463375 22516670 23002496 23142802 23188000 23889344 24082000 25382428 25587125 26139200 26201216 26490200 27061760 28753120 29861680 30752000 30824960 31728035 32674000 32751520 32847848 33112750 33728000 33827200 33907456 35941400 36026672 37100800 37327100 38531200 40939400 41059810 41822720 42284000 42384320 44926750 45033340 46004992 46285604 46376000 46658875 47778688 48164000 50764856 51174250 52278400 52402432 52980400 56291675 57506240 57857005 59723360 61504000 63456070 65348000 65503040 65695696 66225500 67654400 67814912 69801677 71882800 72053344 74201600 74654200 77062400 81878800 82119620 84568000 84768640 89853500 90066680 92009984 92571208 92752000 93317750 95557376 96328000 101529712 102348500 102649525 104556800 104804864 105960800 112583350 115012480 115714010 119446720 126912140 127285411 130696000 131006080 131391392 132451000 135308800 139603354 143765600 144106688 149308400 154124800 158640175 163757600 164239240 169136000 169537280 179707000 180133360 185142416 185504000 186635500 191114752 192656000 196713817 203059424 204697000 205299050 209113600 211921600 225166700 230024960 231428020 238893440 253824280 254570822 261392000 262012160 262782784 264902000 279206708 281458375 287531200 288213376 289285025 298616800 317280350 327515200 328478480 338272000 339074560 349008385 359414000 360266720 370284832 371008000 373271000 385312000 393427634 406118848 409394000 410598100 423843200 450333400 460049920 462856040 477786880 507648560 509141644 513247625 522784000 524024320 525565568 529804000 558413416 562916750 575062400 576426752 578570050 597233600 634560700 636427055 655030400 656956960 676544000 698016770 718828000 720533440 740569664 746542000 770624000 786855268 793200875 812237696 818788000 821196200 847686400 900666800 925712080 955573760 983569085 1015297120 1018283288 1026495250 1045568000 1051131136 1059608000 1116826832 1125833500 1150124800 1152853504 1157140100 1194467200 1269121400 1272854110 1310060800 1313913920 1396033540 1437656000 1441066880 1446425125 1481139328 1493084000 1573710536 1586401750 1624475392 1637576000 1642392400 1695372800 1745041925 1801333600 1851424160 1967138170 2030594240 2036566576 2052990500 2102262272 2119216000 2163851987 2233653664 2251667000 2300249600 2314280200 2388934400 2538242800 2545708220 2620121600 2627827840 2792067080 2875312000 2882133760 2892850250 2962278656 2986168000 3147421072 3172803500 3182135275 3248950784 3275152000 3284784800 3490083850 3602667200 3702848320 3934276340 4061188480 4073133152 4105981000 4238432000 4327703974 4467307328 4503334000 4628560400 4777868800 4917845425 5076485600 5091416440 5255655680 5584134160 5750624000 5764267520 5785700500 5924557312 5972336000 6294842144 6345607000 6364270550 6550304000 6569569600 6980167700 7205334400 7405696640 7868552680 8122376960 8146266304 8211962000 8476864000 8655407948 8725209625 8934614656 9006668000 9257120800 9835690850 10152971200 10182832880 10511311360 10819259935 11168268320 11501248000 11571401000 11944672000 12589684288 12691214000 12728541100 13100608000 13139139200 13960335400 14410668800 14811393280 15737105360 15910676375 16244753920 16292532608 16423924000 17310815896 17450419250 17869229312 18013336000 18514241600 19671381700 20305942400 20365665760 21638519870 22336536640 23142802000 23889344000 24589227125 25179368576 25382428000 25457082200 26278278400 27920670800 28821337600 29622786560 31474210720 31821352750 32585065216 32847848000 34621631792 34900838500 35738458624 36026672000 37028483200 39342763400 40611884800 40731331520 43277039740 44673073280 46285604000 49178454250 50358737152 50764856000 50914164400 52556556800 54096299675 55841341600 62948421440 63642705500 65170130432 65695696000 69243263584 69801677000 72053344000 74056966400 78685526800 81223769600 81462663040 86554079480 89346146560 92571208000 98356908500 100717474304 101529712000 101828328800 108192599350 111682683200 125896842880 127285411000 131391392000 138486527168 139603354000 144106688000 148113932800 157371053600 162925326080 173108158960 178692293120 185142416000 196713817000 203059424000 203656657600 216385198700 223365366400 251793685760 254570822000 262782784000 270481498375 276973054336 279206708000 314742107200 325850652160 346216317920 370284832000 393427634000 406118848000 407313315200 432770397400 446730732800 503587371520 509141644000 540962996750 553946108672 558413416000 629484214400 692432635840 740569664000 786855268000 814626630400 865540794800 893461465600 1018283288000 1081925993500 1107892217344 1116826832000 1258968428800 1384865271680 1573710536000 1629253260800 1731081589600 2036566576000 2163851987000 2233653664000 2517936857600 2769730543360 3147421072000 3462163179200 4073133152000 4327703974000 4467307328000 5539461086720 6294842144000 6924326358400 8146266304000 8655407948000 12589684288000 13848652716800 17310815896000 27697305433600 34621631792000 69243263584000 138486527168000
- Sum of all divisors σ(n): 412194179187648
- Sum of proper divisors (its aliquot sum) s(n): 273707652019648
- 138486527168000 is an abundant number, because the sum of its proper divisors (273707652019648) is greater than itself. Its abundance is 135221124851648
Bases of 138486527168000
- Binary: 111110111110011111010000100001000001110000000002
- Hexadecimal: 0x7DF3E8420E00
- Base-36: 1D37TYNQWW
Squares and roots of 138486527168000
- 138486527168000 squared (1384865271680002) is 19178518207053202100224000000
- 138486527168000 cubed (1384865271680003) is 2655966382723055921874065634885632000000000
-
The
square root of 138486527168000 is 11768029.8762367187 -
The
cube root of 138486527168000 is 51737.1508056125
Scales and comparisons
How big is 138486527168000?- 138,486,527,168,000 seconds is equal to 4,403,443 years, 10 weeks, 1 day, 16 hours, 53 minutes, 20 seconds.
-
To count from 1 to 138,486,527,168,000 would take you about eleven million, eight thousand, six hundred seven 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 138486527168000 cubic inches would be around 4311.4 feet tall.
Recreational maths with 138486527168000
- 138486527168000 backwards is 000861725684831
- The number of decimal digits it has is: 15
- The sum of 138486527168000's digits is 59
- More coming soon!
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The information we have on file for 138486527168000 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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