138040427616000
138,040,427,616,000 is an even composite number composed of seven prime numbers multiplied together.
What does the number 138040427616000 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 5184 divisors.
138040427616000 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of five thousand, one hundred eighty-four divisors.
Prime factorization of 138040427616000:
28 × 3 × 53 × 72 × 133 × 192 × 37
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 5 × 7 × 7 × 13 × 13 × 13 × 19 × 19 × 37)See below for interesting mathematical facts about the number 138040427616000 from the Numbermatics database.
Names of 138040427616000
- Cardinal: 138040427616000 can be written as One hundred thirty-eight trillion, forty billion, four hundred twenty-seven million, six hundred sixteen thousand.
Scientific notation
- Scientific notation: 1.38040427616 × 1014
Factors of 138040427616000
Divisors of 138040427616000
- Number of divisors d(n): 5184
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Complete list of divisors:
1 2 3 4 5 6 7 8 10 12 13 14 15 16 19 20 21 24 25 26 28 30 32 35 37 38 39 40 42 48 49 50 52 56 57 60 64 65 70 74 75 76 78 80 84 91 95 96 98 100 104 105 111 112 114 120 125 128 130 133 140 147 148 150 152 156 160 168 169 175 182 185 190 192 195 196 200 208 210 222 224 228 240 245 247 250 256 259 260 266 273 280 285 294 296 300 304 312 320 325 336 338 350 361 364 370 375 380 384 390 392 399 400 416 420 444 448 455 456 475 480 481 490 494 500 507 518 520 525 532 546 555 560 570 588 592 600 608 624 637 640 650 665 672 676 700 703 722 728 735 740 741 750 760 768 777 780 784 798 800 832 840 845 875 888 896 910 912 925 931 950 960 962 975 980 988 1000 1014 1036 1040 1050 1064 1083 1092 1110 1120 1140 1176 1183 1184 1200 1216 1225 1235 1248 1274 1280 1295 1300 1330 1344 1352 1365 1400 1406 1425 1443 1444 1456 1470 1480 1482 1500 1520 1554 1560 1568 1596 1600 1625 1664 1680 1690 1729 1750 1776 1792 1805 1813 1820 1824 1850 1862 1900 1911 1920 1924 1950 1960 1976 1995 2000 2028 2072 2080 2100 2109 2128 2166 2184 2197 2220 2240 2275 2280 2352 2366 2368 2375 2400 2405 2432 2450 2470 2496 2527 2535 2548 2590 2600 2625 2660 2688 2704 2730 2775 2793 2800 2812 2850 2886 2888 2912 2940 2960 2964 3000 3040 3108 3120 3136 3185 3192 3200 3211 3250 3325 3328 3360 3367 3380 3458 3500 3515 3549 3552 3610 3626 3640 3648 3675 3700 3705 3724 3800 3822 3840 3848 3885 3900 3920 3952 3990 4000 4056 4144 4160 4200 4218 4225 4256 4332 4368 4394 4440 4480 4550 4560 4625 4655 4693 4704 4732 4736 4750 4800 4810 4864 4875 4900 4921 4940 4992 5054 5070 5096 5180 5187 5200 5250 5320 5376 5408 5415 5439 5460 5550 5586 5600 5624 5700 5772 5776 5824 5880 5915 5920 5928 6000 6080 6125 6175 6216 6240 6253 6272 6370 6384 6400 6422 6475 6500 6591 6650 6720 6734 6760 6825 6916 7000 7030 7098 7104 7125 7215 7220 7252 7280 7296 7350 7400 7410 7448 7581 7600 7644 7696 7770 7800 7840 7904 7980 8000 8112 8281 8288 8320 8400 8436 8450 8512 8645 8664 8736 8788 8880 8960 9025 9065 9100 9120 9139 9250 9310 9386 9408 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28315985152 28380022125 28698633600 28758422420 29061142656 29147049750 29171688000 29345329000 29414112000 29654227200 29846578944 30272023600 30338555520 30812595450 31090186400 31415664000 31602662000 31865288000 32434311000 32672290560 32726512000 32866768480 33182795100 33310914000 34033636000 34510106904 34596598400 34929258000 35214394800 35394981440 35531641600 35873292000 35948028025 36117328000 36326428320 37067784000 37257875200 37308223680 37562021120 37840029500 37923194400 38069616000 38238345600 38862733000 38895584000 39271814400 39440122176 39919152000 40840363200 40998048000 41083460600 41478493875 41515918080 42473977728 42989856000 43137633630 43245748000 43340793600 44017993500 44243726800 44414552000 45408035400 46013475872 46572344000 46635279600 46952526400 47403993000 47797932000 47831056000 48435237760 49089768000 49300152720 49423712000 49744298240 50564259200 51050454000 51354325750 51894897600 52586829568 53092472160 53297462400 54175992000 54453817600 54626208000 55304658500 55886812800 56343031680 56760044250 57397267200 57516844840 58122285312 58294099500 58343376000 58690658000 60544047200 60677111040 61625190900 62180372800 62831328000 63205324000 63730576000 64868622000 65453024000 65733536960 66365590200 66621828000 68067272000 69020213808 69193196800 69858516000 70428789600 70789962880 71746584000 71896056050 72234656000 72652856640 74135568000 74616447360 75680059000 75846388800 76139232000 76476691200 77031488625 77725466000 78880244352 79838304000 81680726400 82166921200 82956987750 84947955456 86275267260 86491496000 88035987000 88487453600 88829104000 90816070800 92026951744 93144688000 93270559200 93905052800 94807986000 95595864000 95662112000 96870475520 98179536000 98600305440 101128518400 102100908000 102708651500 103789795200 106184944320 106594924800 107844084075 108351984000 110609317000 111773625600 112686063360 113520088500 115033689680 116588199000 116686752000 117381316000 121088094400 123250381800 124360745600 126410648000 127461152000 129737244000 131467073920 132731180400 133243656000 136134544000 138040427616 139717032000 140857579200 141579925760 143493168000 143792112100 145305713280 148271136000 149232894720 151360118000 151692777600 154062977250 155450932000 157760488704 163361452800 164333842400 165913975500 172550534520 172982992000 176071974000 176974907200 177658208000 179740140125 181632141600 184053903488 186289376000 186541118400 187810105600 189615972000 191191728000 196359072000 197200610880 204201816000 205417303000 207579590400 212369888640 215688168150 216703968000 221218634000 227040177000 230067379360 233176398000 234762632000 242176188800 246500763600 248721491200 252821296000 259474488000 262934147840 265462360800 266487312000 272269088000 276080855232 279434064000 281715158400 286986336000 287584224200 290611426560 302720236000 303385555200 308125954500 310901864000 328667684800 331827951000 345101069040 345965984000 352143948000 353949814400 359480280250 363264283200 368107806976 373082236800 379231944000 382383456000 394401221760 408403632000 410834606000 424739777280 431376336300 442437268000 454080354000 460134758720 466352796000 469525264000 484352377600 493001527200 505642592000 518948976000 530924721600 532974624000 539220420375 552161710464 558868128000 563430316800 575168448400 605440472000 616251909000 621803728000 657335369600 663655902000 690202138080 704287896000 707899628800 718960560500 726528566400 746164473600 758463888000 788802443520 816807264000 821669212000 862752672600 884874536000 908160708000 920269517440 932705592000 939050528000 986003054400 1037897952000 1061849443200 1078440840750 1104323420928 1150336896800 1210880944000 1232503818000 1243607456000 1314670739200 1327311804000 1380404276160 1408575792000 1437921121000 1453057132800 1516927776000 1643338424000 1725505345200 1769749072000 1816321416000 1840539034880 1865411184000 1972006108800 2123698886400 2156881681500 2300673793600 2421761888000 2465007636000 2654623608000 2760808552320 2817151584000 2875842242000 3286676848000 3451010690400 3539498144000 3632642832000 3730822368000 3944012217600 4313763363000 4601347587200 4930015272000 5309247216000 5521617104640 5751684484000 6573353696000 6902021380800 7265285664000 8627526726000 9202695174400 9860030544000 10618494432000 11503368968000 13804042761600 17255053452000 19720061088000 23006737936000 27608085523200 34510106904000 46013475872000 69020213808000 138040427616000
- Sum of all divisors σ(n): 626276152494720
- Sum of proper divisors (its aliquot sum) s(n): 488235724878720
- 138040427616000 is an abundant number, because the sum of its proper divisors (488235724878720) is greater than itself. Its abundance is 350195297262720
Bases of 138040427616000
- Binary: 111110110001100000010101010011100010111000000002
- Hexadecimal: 0x7D8C0AA71700
- Base-36: 1CXIWAI5MO
Squares and roots of 138040427616000
- 138040427616000 squared (1380404276160002) is 19055159656408135443456000000
- 138040427616000 cubed (1380404276160003) is 2630382387261730651235912028880896000000000
-
The
square root of 138040427616000 is 11749060.7120739657 -
The
cube root of 138040427616000 is 51681.5383048447
Scales and comparisons
How big is 138040427616000?- 138,040,427,616,000 seconds is equal to 4,389,258 years, 31 weeks, 5 days, 10 hours, 40 minutes.
-
To count from 1 to 138,040,427,616,000 would take you about ten million, nine hundred seventy-three thousand, one hundred forty-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 138040427616000 cubic inches would be around 4306.8 feet tall.
Recreational maths with 138040427616000
- 138040427616000 backwards is 000616724040831
- 138040427616000 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 138040427616000's digits is 42
- More coming soon!
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"Number 138040427616000 - Facts about the integer". Numbermatics.com. 2024. Web. 4 June 2024.
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The information we have on file for 138040427616000 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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