138464885104000
138,464,885,104,000 is an even composite number composed of eight prime numbers multiplied together.
What does the number 138464885104000 look like?
This visualization shows the relationship between its 8 prime factors (large circles) and 2048 divisors.
138464885104000 is an even composite number. It is composed of eight distinct prime numbers multiplied together. It has a total of two thousand and forty-eight divisors.
Prime factorization of 138464885104000:
27 × 53 × 7 × 13 × 37 × 73 × 137 × 257
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 5 × 7 × 13 × 37 × 73 × 137 × 257)See below for interesting mathematical facts about the number 138464885104000 from the Numbermatics database.
Names of 138464885104000
- Cardinal: 138464885104000 can be written as One hundred thirty-eight trillion, four hundred sixty-four billion, eight hundred eighty-five million, one hundred four thousand.
Scientific notation
- Scientific notation: 1.38464885104 × 1014
Factors of 138464885104000
Divisors of 138464885104000
- Number of divisors d(n): 2048
-
Complete list of divisors:
1 2 4 5 7 8 10 13 14 16 20 25 26 28 32 35 37 40 50 52 56 64 65 70 73 74 80 91 100 104 112 125 128 130 137 140 146 148 160 175 182 185 200 208 224 250 257 259 260 274 280 292 296 320 325 350 364 365 370 400 416 448 455 481 500 511 514 518 520 548 560 584 592 640 650 685 700 728 730 740 800 832 875 896 910 925 949 959 962 1000 1022 1028 1036 1040 1096 1120 1168 1184 1285 1295 1300 1370 1400 1456 1460 1480 1600 1625 1664 1750 1781 1799 1820 1825 1850 1898 1918 1924 2000 2044 2056 2072 2080 2192 2240 2275 2336 2368 2405 2555 2570 2590 2600 2701 2740 2800 2912 2920 2960 3200 3250 3341 3367 3425 3500 3562 3598 3640 3650 3700 3796 3836 3848 4000 4088 4112 4144 4160 4384 4480 4550 4625 4672 4736 4745 4795 4810 5069 5110 5140 5180 5200 5402 5480 5600 5824 5840 5920 6425 6475 6500 6643 6682 6734 6850 7000 7124 7196 7280 7300 7400 7592 7672 7696 8000 8176 8224 8288 8320 8768 8905 8995 9100 9125 9250 9344 9490 9509 9590 9620 10001 10138 10220 10280 10360 10400 10804 10960 11200 11375 11648 11680 11840 12025 12467 12775 12850 12950 13000 13286 13364 13468 13505 13700 14000 14248 14392 14560 14600 14800 15184 15344 15392 16000 16352 16448 16576 16705 16835 17125 17536 17810 17990 18200 18250 18500 18761 18907 18980 19018 19180 19240 20002 20276 20440 20560 20720 20800 21608 21920 22400 22750 23360 23387 23680 23725 23975 24050 24934 25345 25550 25700 25900 26000 26572 26728 26936 27010 27400 28000 28496 28784 29120 29200 29600 30368 30688 30784 32125 32375 32704 32896 33152 33215 33410 33670 34250 35113 35209 35483 35620 35980 36400 36500 37000 37522 37814 37960 38036 38360 38480 40004 40552 40880 41120 41440 41600 43216 43840 44525 44975 45500 46720 46774 47450 47545 47950 48100 49868 50005 50690 51100 51400 51800 52000 53144 53456 53872 54020 54800 56000 56992 57568 58240 58400 59200 60125 60736 61376 61568 62335 63875 64250 64750 65408 65897 66430 66563 66820 67340 67525 68500 70007 70226 70418 70966 71240 71960 72800 73000 74000 75044 75628 75920 76072 76720 76960 80008 81104 81760 82240 82880 83525 84175 86432 87680 89050 89950 91000 93548 93805 94535 94900 95090 95900 96200 99736 100010 101380 102200 102800 103600 104000 106288 106912 107744 108040 109600 112000 113984 115136 116800 116935 118400 118625 119875 120250 121472 122752 123617 124670 126725 127750 128500 129500 130013 131327 131794 132860 133126 133640 134680 135050 137000 140014 140452 140836 141932 142480 143920 145600 146000 148000 150088 151256 151840 152144 153440 153920 160016 162208 163520 164480 165760 166075 167050 168350 172864 175565 176045 177415 178100 179900 182000 187096 187610 189070 189800 190180 191800 192400 199472 200020 202760 204400 205600 207200 208000 212576 213824 215488 216080 219200 222625 224875 227968 230272 233600 233870 237250 237725 239750 240500 243893 245791 246463 247234 249340 250025 253450 255500 257000 259000 260026 262654 263588 265720 266252 267280 269360 270100 274000 280028 280904 281672 283864 284960 287840 291200 292000 296000 300176 302512 303680 304288 306880 307840 311675 320032 324416 327040 329485 332150 332815 334100 336700 337625 345728 350035 351130 352090 354830 356200 359800 364000 370037 374192 375220 378140 379600 380360 383600 384800 398944 400040 405520 408800 411200 414400 417625 420875 425152 427648 430976 432160 438400 445250 449750 457717 461279 467740 469025 472675 474500 475450 479500 481000 487786 491582 492926 494468 498680 500050 506900 511000 514000 518000 520052 525308 527176 531440 532504 534560 538720 540200 548000 560056 561808 563344 567728 569920 575680 584000 584675 592000 600352 605024 607360 608576 613760 618085 623350 633625 640064 648832 650065 656635 658970 664300 665630 668200 673400 675250 694157 700070 702260 704180 709660 712400 719600 728000 740074 748384 750440 756280 759200 760720 767200 769600 797888 800080 811040 817600 822400 828800 830375 835250 841750 850304 864320 865319 877825 880225 887075 890500 899500 910091 915434 922558 935480 938050 945350 949000 950900 959000 962000 975572 983164 985852 988936 997360 1000100 1013800 1022000 1028000 1036000 1040104 1050616 1054352 1062880 1065008 1069120 1077440 1080400 1096000 1120112 1123616 1126688 1135456 1139840 1151360 1168000 1169350 1188625 1200704 1210048 1217152 1219465 1228955 1232315 1236170 1246700 1250125 1267250 1280128 1300130 1302733 1313270 1317940 1328600 1331260 1336400 1346800 1350500 1388314 1400140 1404520 1408360 1419320 1424800 1439200 1456000 1480148 1496768 1500880 1512560 1518400 1521440 1534400 1539200 1558375 1595776 1600160 1622080 1635200 1647425 1660750 1664075 1670500 1683500 1707251 1728640 1730638 1750175 1755650 1760450 1774150 1781000 1799000 1820182 1830868 1845116 1850185 1870960 1876100 1890700 1898000 1901800 1918000 1924000 1951144 1966328 1971704 1977872 1994720 2000200 2027600 2044000 2056000 2072000 2080208 2101232 2108704 2125760 2130016 2138240 2154880 2160800 2192000 2240224 2247232 2253376 2270912 2288585 2306395 2338700 2345125 2363375 2377250 2401408 2420096 2438930 2457910 2464630 2472340 2493400 2500250 2534500 2570257 2590259 2600260 2605466 2626540 2635880 2657200 2662520 2672800 2693600 2701000 2776628 2800280 2809040 2816720 2838640 2849600 2878400 2923375 2960296 2993536 3001760 3025120 3036800 3042880 3068800 3090425 3116750 3200320 3204019 3244160 3250325 3283175 3294850 3321500 3328150 3341000 3367000 3414502 3461276 3470785 3500350 3511300 3520900 3548300 3562000 3598000 3640364 3661736 3690232 3700370 3741920 3752200 3781400 3796000 3803600 3836000 3848000 3902288 3932656 3943408 3955744 3989440 4000400 4055200 4088000 4112000 4144000 4160416 4202464 4217408 4251520 4260032 4321600 4326595 4389125 4401125 4435375 4480448 4494464 4506752 4541824 4550455 4577170 4612790 4677400 4690250 4726750 4754500 4810481 4859099 4877860 4915820 4929260 4944680 4986800 5000500 5069000 5140514 5180518 5200520 5210932 5253080 5271760 5314400 5325040 5345600 5387200 5402000 5553256 5600560 5618080 5633440 5677280 5699200 5756800 5846750 5920592 6003520 6050240 6085760 6097325 6144775 6161575 6180850 6233500 6400640 6408038 6500650 6513665 6566350 6589700 6643000 6656300 6682000 6734000 6829004 6922552 6941570 7000700 7022600 7041800 7096600 7124000 7196000 7280728 7323472 7380464 7400740 7483840 7504400 7562800 7592000 7607200 7672000 7696000 7804576 7865312 7886816 7911488 7978880 8000800 8110400 8176000 8237125 8320375 8320832 8404928 8434816 8520064 8536255 8643200 8653190 8750875 8778250 8802250 8870750 8960896 9024041 9100910 9119131 9154340 9225580 9250925 9354800 9380500 9453500 9509000 9620962 9718198 9755720 9831640 9858520 9889360 9973600 10001000 10138000 10281028 10361036 10401040 10421864 10506160 10543520 10628800 10650080 10691200 10774400 10804000 11106512 11201120 11236160 11266880 11354560 11442925 11531975 11693500 11841184 12007040 12100480 12194650 12289550 12323150 12361700 12467000 12816076 12851285 12951295 13001300 13027330 13132700 13179400 13286000 13312600 13364000 13468000 13658008 13845104 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4810481000 4859099000 4945174468 5053462960 5126430400 5140514000 5180518000 5210932000 5325572504 5346134560 5387738720 5419369280 5463203200 5553256000 5757375680 5775386240 5836243840 5847334675 5920592000 5927435150 6086368576 6181468085 6316828700 6408038000 6656965630 6682668200 6734673400 6774211600 6829004000 6922552000 7196719600 7219232800 7280728000 7295304800 7323472000 7380464000 7484588384 7587116992 7607960720 7696769600 7774558400 7896035875 8085540736 8224822400 8288828800 8353335250 8418341750 8467764500 8654055319 8995899500 9024041000 9119131000 9355735480 9483896240 9509950900 9620962000 9718198000 9890348936 10106925920 10252860800 10281028000 10361036000 10421864000 10651145008 10692269120 10775477440 10838738560 11106512000 11514751360 11694669350 11854870300 11887438625 12172737152 12362936170 12633657400 12816076000 13313931260 13365336400 13469346800 13548423200 13658008000 13845104000 14393439200 14438465600 14561456000 14590609600 14818587875 14969176768 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67346734000 67742116000 69232442552 71967196000 72192328000 72953048000 74845883840 75871169920 76079607200 76967696000 77745584000 79122791488 83212070375 85209160064 86540553190 93557354800 94838962400 95099509000 98903489360 101069259200 106511450080 106922691200 107754774400 116946693500 118548703000 123629361700 126336574000 133139312600 133653364000 134693468000 135484232000 138464885104 143934392000 144384656000 145906096000 149691767680 152159214400 154536702125 158245582976 166424140750 173081106380 187114709600 189677924800 190199018000 197806978720 202138518400 213022900160 216351382975 233893387000 237097406000 247258723400 252673148000 266278625200 267306728000 269386936000 270968464000 276929770208 287868784000 304318428800 309073404250 332848281500 346162212760 374229419200 379355849600 380398036000 395613957440 426045800320 432702765950 467786774000 474194812000 494517446800 505346296000 532557250400 534613456000 538773872000 553859540416 618146808500 665696563000 692324425520 748458838400 760796072000 791227914880 865405531900 935573548000 948389624000 989034893600 1010692592000 1065114500800 1081756914875 1107719080832 1236293617000 1331393126000 1384648851040 1521592144000 1730811063800 1871147096000 1896779248000 1978069787200 2130229001600 2163513829750 2472587234000 2662786252000 2769297702080 3461622127600 3742294192000 3956139574400 4327027659500 4945174468000 5325572504000 5538595404160 6923244255200 8654055319000 9890348936000 10651145008000 13846488510400 17308110638000 19780697872000 27692977020800 34616221276000 69232442552000 138464885104000
- Sum of all divisors σ(n): 446063728481280
- Sum of proper divisors (its aliquot sum) s(n): 307598843377280
- 138464885104000 is an abundant number, because the sum of its proper divisors (307598843377280) is greater than itself. Its abundance is 169133958273280
Bases of 138464885104000
- Binary: 111110111101110110111100100101001011101100000002
- Hexadecimal: 0x7DEEDE4A5D80
- Base-36: 1D2XW1J7GG
Squares and roots of 138464885104000
- 138464885104000 squared (1384648851040002) is 19172524406863921090816000000
- 138464885104000 cubed (1384648851040003) is 2654721389150048582802759789604864000000000
-
The
square root of 138464885104000 is 11767110.3123919085 -
The
cube root of 138464885104000 is 51734.4555805871
Scales and comparisons
How big is 138464885104000?- 138,464,885,104,000 seconds is equal to 4,402,755 years, 2 weeks, 2 days, 20 hours, 26 minutes, 40 seconds.
-
To count from 1 to 138,464,885,104,000 would take you about eleven million, six thousand, eight hundred eighty-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 138464885104000 cubic inches would be around 4311.2 feet tall.
Recreational maths with 138464885104000
- 138464885104000 backwards is 000401588464831
- 138464885104000 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 138464885104000's digits is 52
- More coming soon!
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Cite this page
MLA style:
"Number 138464885104000 - Facts about the integer". Numbermatics.com. 2024. Web. 19 June 2024.
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Numbermatics. (2024). Number 138464885104000 - Facts about the integer. Retrieved 19 June 2024, from https://numbermatics.com/n/138464885104000/
Chicago style:
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The information we have on file for 138464885104000 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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