138684522220920
138,684,522,220,920 is an even composite number composed of six prime numbers multiplied together.
What does the number 138684522220920 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 1152 divisors.
138684522220920 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one thousand, one hundred fifty-two divisors.
Prime factorization of 138684522220920:
23 × 37 × 5 × 132 × 612 × 2521
(2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 5 × 13 × 13 × 61 × 61 × 2521)See below for interesting mathematical facts about the number 138684522220920 from the Numbermatics database.
Names of 138684522220920
- Cardinal: 138684522220920 can be written as One hundred thirty-eight trillion, six hundred eighty-four billion, five hundred twenty-two million, two hundred twenty thousand, nine hundred twenty.
Scientific notation
- Scientific notation: 1.3868452222092 × 1014
Factors of 138684522220920
Divisors of 138684522220920
- Number of divisors d(n): 1152
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 13 15 18 20 24 26 27 30 36 39 40 45 52 54 60 61 65 72 78 81 90 104 108 117 120 122 130 135 156 162 169 180 183 195 216 234 243 244 260 270 305 312 324 338 351 360 366 390 405 468 486 488 507 520 540 549 585 610 648 676 702 729 732 780 793 810 845 915 936 972 1014 1053 1080 1098 1170 1215 1220 1352 1404 1458 1464 1521 1560 1586 1620 1647 1690 1755 1830 1944 2028 2106 2187 2196 2340 2379 2430 2440 2521 2535 2745 2808 2916 3042 3159 3172 3240 3294 3380 3510 3645 3660 3721 3965 4056 4212 4374 4392 4563 4680 4758 4860 4941 5042 5070 5265 5490 5832 6084 6318 6344 6588 6760 7020 7137 7290 7320 7442 7563 7605 7930 8235 8424 8748 9126 9477 9516 9720 9882 10084 10140 10309 10530 10935 10980 11163 11895 12168 12605 12636 13176 13689 14040 14274 14580 14823 14884 15126 15210 15795 15860 16470 17496 18252 18605 18954 19032 19764 20168 20280 20618 21060 21411 21870 21960 22326 22689 22815 23790 24705 25210 25272 27378 28431 28548 29160 29646 29768 30252 30420 30927 31590 31720 32773 32940 33489 35685 36504 37210 37815 37908 39528 41067 41236 42120 42822 43740 44469 44652 45378 45630 47385 47580 48373 49410 50420 51545 54756 55815 56862 57096 59292 60504 60840 61854 63180 64233 65546 65880 66978 68067 68445 71370 74115 74420 75630 75816 82134 82472 85644 87480 88938 89304 90756 91260 92781 94770 95160 96746 98319 98820 100467 100840 103090 107055 109512 111630 113445 113724 118584 123201 123708 126360 128466 131092 133407 133956 136134 136890 142155 142740 145119 148230 148840 151260 153781 154635 163865 164268 167445 171288 177876 181512 182520 185562 189540 192699 193492 196638 197640 200934 204201 205335 206180 214110 222345 223260 226890 227448 241865 246402 247416 256932 262184 266814 267912 272268 273780 278343 284310 285480 290238 294957 296460 301401 302520 307562 309270 321165 327730 328536 334890 340335 355752 369603 371124 379080 385398 386984 393276 401868 408402 410670 412360 426049 428220 435357 444690 446520 453780 461343 463905 483730 491595 492804 502335 513864 533628 544536 547560 556686 568620 578097 580476 589914 592920 602802 612603 615124 616005 618540 628849 642330 655460 667035 669780 680670 725595 739206 742248 768905 770796 786552 803736 816804 821340 835029 852098 856440 870714 884871 889380 904203 907560 922686 927810 963495 967460 983190 985608 1004670 1021005 1067256 1113372 1137240 1156194 1160952 1179828 1205604 1225206 1230248 1232010 1237080 1257698 1278147 1284660 1306071 1310920 1334070 1339560 1361340 1384029 1391715 1451190 1474785 1478412 1507005 1537810 1541592 1633608 1642680 1670058 1704196 1734291 1741428 1769742 1778760 1808406 1837809 1845372 1848015 1855620 1886547 1926990 1934920 1966380 1999153 2009340 2042010 2130245 2176785 2226744 2306715 2312388 2359656 2411208 2450412 2464020 2505087 2515396 2556294 2569320 2612142 2654613 2668140 2712609 2722680 2768058 2783430 2890485 2902380 2949570 2956824 3014010 3063015 3075620 3144245 3340116 3408392 3468582 3482856 3539484 3616812 3675618 3690744 3696030 3711240 3773094 3834441 3853980 3918213 3932760 3998306 4018680 4084020 4152087 4175145 4260490 4353570 4424355 4521015 4613430 4624776 4900824 4928040 5010174 5030792 5112588 5224284 5309226 5336280 5425218 5513427 5536116 5566860 5659641 5780970 5804760 5899140 5997459 6028020 6126030 6151240 6288490 6390735 6530355 6680232 6920145 6937164 7078968 7233624 7351236 7392060 7515261 7546188 7668882 7707960 7836426 7963839 7996612 8137827 8168040 8304174 8350290 8520980 8671455 8707140 8848710 9042030 9189045 9226860 9380641 9432735 9995765 10020348 10225176 10448568 10618452 10850436 11026854 11072232 11133720 11319282 11503323 11561940 11754639 11798280 11994918 12056040 12252060 12456261 12525435 12576980 12781470 13060710 13273065 13563045 13840290 13874328 14702472 14784120 15030522 15092376 15337764 15672852 15927678 15993224 16275654 16608348 16700580 16978923 17041960 17342910 17414280 17697420 17992377 18084060 18378090 18453720 18761282 18865470 19172205 19591065 19991530 20040696 20760435 21236904 21700872 22053708 22545783 22638564 23006646 23123880 23509278 23891517 23989836 24504120 24912522 25050870 25153960 25562940 25988989 26121420 26546130 27126090 27567135 27680580 28141923 28298205 29987295 30061044 30675528 31345704 31855356 32551308 33216696 33401160 33957846 34509969 34685820 35263917 35394840 35984754 36168120 36756180 37368783 37522564 37576305 37730940 38344410 39182130 39819195 39983060 40689135 41520870 44107416 45091566 45277128 46013292 46903205 47018556 47783034 47979672 49825044 50101740 50936769 51125880 51977978 52242840 53092260 53977131 54252180 55134270 55361160 56283846 56596410 57516615 58773195 59974590 60122088 62281305 63710712 65102616 67915692 69019938 69371640 70527834 71674551 71969508 73512360 74737566 75045128 75152610 75461880 76688820 77966967 78364260 79638390 79966120 81378270 83041740 84425769 84894615 89961885 90183132 92026584 93806410 94037112 95566068 99650088 100203480 101873538 103529907 103955956 105791751 106184520 107954262 108504360 110268540 112106349 112567692 112728915 113192820 115033230 117546390 119457585 119949180 121948333 124562610 129944945 135831384 138039876 140709615 141055668 143349102 143939016 149475132 150305220 152810307 153377640 155933934 156728520 159276780 161931393 162756540 166083480 168851538 169789230 172549845 176319585 179923770 180366264 186843915 187612820 191132136 203747076 207059814 207911912 211583502 215908524 220537080 224212698 225135384 225457830 226385640 230066460 233900901 235092780 238915170 239898360 243896666 249125220 253277307 254683845 259889890 269885655 276079752 281419230 282111336 286698204 298950264 300610440 305620614 310589721 311867868 318553560 323862786 325513080 336319047 337703076 339578460 345099690 352639170 358372755 359847540 365844999 373687830 375225640 389834835 407494152 414119628 422128845 423167004 431817048 448425396 450915660 458430921 460132920 467801802 470185560 477830340 485794179 487793332 498250440 506554614 509367690 517649535 519779780 528958755 539771310 560531745 562838460 573396408 609741665 611241228 621179442 623735736 647725572 672638094 675406152 679156920 690199380 701702703 705278340 716745510 719695080 731689998 747375660 759831921 764051535 779669670 809656965 828239256 844257690 846334008 896850792 901831320 916861842 931769163 935603604 955660680 971588358 975586664 1013109228 1018735380 1035299070 1039559560 1057917510 1079542620 1097534997 1121063490 1125676920 1169504505 1219483330 1222482456 1242358884 1266386535 1295451144 1345276188 1375292763 1380398760 1403405406 1410556680 1433491020 1457382537 1463379996 1494751320 1519663842 1528103070 1552948605 1559339340 1585328329 1619313930 1681595235 1688515380 1829224995 1833723684 1863538326 1871207208 1943176716 2026218456 2037470760 2070598140 2105108109 2115835020 2159085240 2195069994 2242126980 2279495763 2292154605 2339009010 2428970895 2438966660 2484717768 2532773070 2690552376 2750585526 2806810812 2866982040 2914765074 2926759992 3039327684 3056206140 3105897210 3118678680 3170656658 3238627860 3292604991 3363190470 3377030760 3508513515 3658449990 3667447368 3727076652 3799159605 3886353432 4141196280 4210216218 4231670040 4372147611 4390139988 4484253960 4558991526 4584309210 4658845815 4678018020 4755984987 4857941790 4877933320 5065546140 5487674985 5501171052 5613621624 5829530148 6078655368 6112412280 6211794420 6315324327 6341313316 6477255720 6585209982 6726380940 6838487289 6876463815 7017027030 7286912685 7316899980 7454153304 7598319210 7926641645 8420432436 8744295222 8780279976 9117983052 9168618420 9317691630 9356036040 9511969974 9715883580 9877814973 10131092280 10525540545 10975349970 11002342104 11397478815 11659060296 12423588840 12630648654 12682626632 13170419964 13452761880 13676974578 13752927630 14034054060 14267954961 14573825370 14633799960 15196638420 15853283290 16463024955 16840864872 17488590444 18235966104 18337236840 18635383260 18945972981 19023939948 19431767160 19755629946 20515461867 21051081090 21860738055 21950699940 22794957630 23779924935 25261297308 26340839928 27353949156 27505855260 28068108120 28535909922 29147650740 29633444919 30393276840 31576621635 31706566580 32926049910 34192436445 34977180888 37270766520 37891945962 38047879896 39511259892 41030923734 42102162180 42803864883 43721476110 43901399880 45589915260 47559849870 49389074865 50522594616 54707898312 55011710520 56837918943 57071819844 58295301480 59266889838 63153243270 63413133160 65852099820 68384872890 71339774805 75783891924 79022519784 82061847468 84204324360 85607729766 87442952220 88900334757 91179830520 94729864905 95119699740 98778149730 102577309335 113675837886 114143639688 118533779676 126306486540 128411594649 131704199640 136769745780 142679549610 148167224595 151567783848 164123694936 171215459532 174885904440 177800669514 189459729810 190239399480 197556299460 205154618670 214019324415 227351675772 237067559352 252612973080 256823189298 266701004271 273539491560 284189594715 285359099220 296334449190 342430919064 355601339028 378919459620 385234783947 395112598920 410309237340 428038648830 444501673785 454703351544 513646378596 533402008542 568379189430 570718198440 592668898380 642057973245 711202678056 757838919240 770469567894 820618474680 856077297660 889003347570 1027292757192 1066804017084 1136758378860 1155704351841 1185337796760 1284115946490 1333505021355 1540939135788 1712154595320 1778006695140 1926173919735 2133608034168 2273516757720 2311408703682 2568231892980 2667010042710 3081878271576 3467113055523 3556013390280 3852347839470 4622817407364 5136463785960 5334020085420 5778521759205 6934226111046 7704695678940 9245634814728 10668040170840 11557043518410 13868452222092 15409391357880 17335565277615 23114087036820 27736904444184 34671130555230 46228174073640 69342261110460 138684522220920
- Sum of all divisors σ(n): 515405283681600
- Sum of proper divisors (its aliquot sum) s(n): 376720761460680
- 138684522220920 is an abundant number, because the sum of its proper divisors (376720761460680) is greater than itself. Its abundance is 238036239239760
Bases of 138684522220920
- Binary: 111111000100010000000011010111011001101011110002
- Hexadecimal: 0x7E2201AECD78
- Base-36: 1D5QSFSVI0
Squares and roots of 138684522220920
- 138684522220920 squared (1386845222209202) is 19233396703644853249285646400
- 138684522220920 cubed (1386845222209203) is 2667374432530404130406547692277205802688000
-
The
square root of 138684522220920 is 11776439.2844747431 -
The
cube root of 138684522220920 is 51761.7953737345
Scales and comparisons
How big is 138684522220920?- 138,684,522,220,920 seconds is equal to 4,409,738 years, 43 weeks, 2 hours, 42 minutes.
-
To count from 1 to 138,684,522,220,920 would take you about eleven million, twenty-four thousand, three hundred forty-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 138684522220920 cubic inches would be around 4313.5 feet tall.
Recreational maths with 138684522220920
- 138684522220920 backwards is 029022225486831
- 138684522220920 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 138684522220920's digits is 54
- More coming soon!
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"Number 138684522220920 - Facts about the integer". Numbermatics.com. 2024. Web. 8 June 2024.
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The information we have on file for 138684522220920 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!
Keywords: Divisors of 138684522220920, math, Factors of 138684522220920, curriculum, school, college, exams, university, Prime factorization of 138684522220920, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty-eight trillion, six hundred eighty-four billion, five hundred twenty-two million, two hundred twenty thousand, nine hundred twenty.