138729217536000
138,729,217,536,000 is an even composite number composed of seven prime numbers multiplied together.
138729217536000 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of four thousand, nine hundred ninety-two divisors.
Prime factorization of 138729217536000:
212 × 33 × 53 × 7 × 132 × 17 × 499
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 5 × 5 × 5 × 7 × 13 × 13 × 17 × 499)See below for interesting mathematical facts about the number 138729217536000 from the Numbermatics database.
Names of 138729217536000
- Cardinal: 138729217536000 can be written as One hundred thirty-eight trillion, seven hundred twenty-nine billion, two hundred seventeen million, five hundred thirty-six thousand.
Scientific notation
- Scientific notation: 1.38729217536 × 1014
Factors of 138729217536000
Divisors of 138729217536000
- Number of divisors d(n): 4992
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Complete list of divisors:
1 2 3 4 5 6 7 8 9 10 12 13 14 15 16 17 18 20 21 24 25 26 27 28 30 32 34 35 36 39 40 42 45 48 50 51 52 54 56 60 63 64 65 68 70 72 75 78 80 84 85 90 91 96 100 102 104 105 108 112 117 119 120 125 126 128 130 135 136 140 144 150 153 156 160 168 169 170 175 180 182 189 192 195 200 204 208 210 216 221 224 225 234 238 240 250 252 255 256 260 270 272 273 280 288 300 306 312 315 320 325 336 338 340 350 351 357 360 364 375 378 384 390 400 408 416 420 425 432 442 448 450 455 459 468 476 480 499 500 504 507 510 512 520 525 540 544 546 560 576 585 595 600 612 624 630 640 650 663 672 675 676 680 700 702 714 720 728 750 756 765 768 780 800 816 819 832 840 845 850 864 875 884 896 900 910 918 936 945 952 960 975 998 1000 1008 1014 1020 1024 1040 1050 1071 1080 1088 1092 1105 1120 1125 1152 1170 1183 1190 1200 1224 1248 1260 1275 1280 1300 1326 1344 1350 1352 1360 1365 1400 1404 1428 1440 1456 1497 1500 1512 1521 1530 1536 1547 1560 1575 1600 1625 1632 1638 1664 1680 1690 1700 1728 1750 1755 1768 1785 1792 1800 1820 1836 1872 1890 1904 1920 1950 1989 1996 2000 2016 2028 2040 2048 2080 2100 2125 2142 2160 2176 2184 2210 2240 2250 2275 2295 2304 2340 2366 2380 2400 2448 2457 2495 2496 2520 2535 2550 2560 2600 2625 2652 2688 2700 2704 2720 2730 2800 2808 2856 2873 2880 2912 2925 2975 2994 3000 3024 3042 3060 3072 3094 3120 3150 3200 3213 3250 3264 3276 3315 3328 3360 3375 3380 3400 3456 3493 3500 3510 3536 3549 3570 3584 3600 3640 3672 3744 3780 3808 3825 3840 3900 3978 3992 4000 4032 4056 4080 4095 4096 4160 4200 4225 4250 4284 4320 4352 4368 4420 4480 4491 4500 4550 4563 4590 4608 4641 4680 4725 4732 4760 4800 4875 4896 4914 4990 4992 5040 5070 5100 5120 5200 5250 5304 5355 5376 5400 5408 5440 5460 5525 5600 5616 5712 5746 5760 5824 5850 5915 5950 5967 5988 6000 6048 6084 6120 6144 6188 6240 6300 6375 6400 6426 6487 6500 6528 6552 6630 6656 6720 6750 6760 6800 6825 6912 6986 7000 7020 7072 7098 7140 7168 7200 7280 7344 7485 7488 7560 7605 7616 7650 7680 7735 7800 7875 7956 7984 8000 8064 8112 8160 8190 8320 8400 8450 8483 8500 8568 8619 8640 8704 8736 8775 8840 8925 8960 8982 9000 9100 9126 9180 9216 9282 9360 9450 9464 9520 9600 9750 9792 9828 9945 9980 9984 10080 10140 10200 10240 10400 10479 10500 10608 10647 10710 10752 10800 10816 10880 10920 11050 11200 11232 11375 11424 11475 11492 11520 11648 11700 11830 11900 11934 11976 12000 12096 12168 12240 12285 12288 12376 12475 12480 12600 12675 12750 12800 12852 12974 13000 13056 13104 13260 13312 13440 13473 13500 13520 13600 13650 13824 13923 13972 14000 14040 14144 14196 14280 14336 14365 14400 14560 14625 14688 14875 14970 14976 15120 15210 15232 15300 15360 15470 15600 15750 15912 15968 16000 16065 16128 16224 16320 16380 16575 16640 16800 16900 16966 17000 17136 17238 17280 17408 17465 17472 17550 17680 17745 17850 17920 17964 18000 18200 18252 18360 18432 18564 18720 18900 18928 19040 19125 19200 19461 19500 19584 19656 19890 19960 19968 20111 20160 20280 20400 20475 20480 20800 20958 21000 21125 21216 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115607681280 116579174400 117268992000 118571980800 120424668000 123314860032 123865372800 125546803200 127041408000 127508472000 128452979200 129532416000 132123064320 133393478400 135477751500 136009036800 136813824000 137628192000 138729217536 139007232000 142286376960 144509601600 145723968000 146803404800 148214976000 151121152000 152449689600 154143575040 154831716000 156933504000 158547677184 160566224000 163210844160 164176588800 165153830400 166741848000 169388544000 170011296000 173411521920 177857971200 180637002000 181345382400 183504256000 184972290048 190562112000 192679468800 194298624000 197619968000 198184596480 204013555200 205220736000 205524766720 206442288000 209244672000 213429565440 216764402400 220205107200 222322464000 226681728000 231215362560 233158348800 237143961600 240849336000 247730745600 254082816000 255016944000 256905958400 264246128640 266786956800 270955503000 272018073600 273627648000 275256384000 277458435072 278014464000 289019203200 291447936000 296429952000 302242304000 304899379200 308287150080 309663432000 313867008000 321132448000 326421688320 330307660800 333483696000 340022592000 346823043840 355715942400 361274004000 367008512000 369944580096 381124224000 385358937600 388597248000 395239936000 396369192960 408027110400 410441472000 412884576000 426859130880 433528804800 440410214400 444644928000 453363456000 462430725120 481698672000 495461491200 508165632000 510033888000 513811916800 533573913600 541911006000 544036147200 550512768000 554916870144 578038406400 582895872000 592859904000 616574300160 619326864000 627734016000 642264896000 660615321600 666967392000 680045184000 693646087680 711431884800 722548008000 734017024000 762248448000 770717875200 792738385920 816054220800 820882944000 825769152000 867057609600 889289856000 906726912000 924861450240 963397344000 990922982400 1020067776000 1027623833600 1067147827200 1083822012000 1101025536000 1109833740288 1156076812800 1165791744000 1185719808000 1238653728000 1284529792000 1321230643200 1333934784000 1360090368000 1387292175360 1445096016000 1524496896000 1541435750400 1632108441600 1651538304000 1734115219200 1778579712000 1849722900480 1926794688000 1981845964800 2040135552000 2134295654400 2167644024000 2202051072000 2312153625600 2477307456000 2569059584000 2667869568000 2720180736000 2774584350720 2890192032000 3082871500800 3303076608000 3468230438400 3557159424000 3853589376000 3963691929600 4080271104000 4335288048000 4624307251200 4954614912000 5138119168000 5335739136000 5549168701440 5780384064000 6606153216000 6936460876800 7707178752000 8160542208000 8670576096000 9248614502400 9909229824000 10671478272000 11560768128000 13872921753600 15414357504000 17341152192000 19818459648000 23121536256000 27745843507200 34682304384000 46243072512000 69364608768000 138729217536000
- Sum of all divisors σ(n): 673449603840000
- Sum of proper divisors (its aliquot sum) s(n): 534720386304000
- 138729217536000 is an abundant number, because the sum of its proper divisors (534720386304000) is greater than itself. Its abundance is 395991168768000
Bases of 138729217536000
- Binary: 111111000101100011010011011101100110000000000002
- Hexadecimal: 0x7E2C69BB3000
- Base-36: 1D6BBM8LC0
Squares and roots of 138729217536000
- 138729217536000 squared (1387292175360002) is 19245795798150809911296000000
- 138729217536000 cubed (1387292175360003) is 2669954191935098454718767647686656000000000
-
The
square root of 138729217536000 is 11778336.7898867623 -
The
cube root of 138729217536000 is 51767.3553819887
Scales and comparisons
How big is 138729217536000?- 138,729,217,536,000 seconds is equal to 4,411,160 years.
-
To count from 1 to 138,729,217,536,000 would take you about eleven million, twenty-seven thousand, nine hundred 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 138729217536000 cubic inches would be around 4313.9 feet tall.
Recreational maths with 138729217536000
- 138729217536000 backwards is 000635712927831
- 138729217536000 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 138729217536000's digits is 54
- More coming soon!
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MLA style:
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The information we have on file for 138729217536000 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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