138938448859392
138,938,448,859,392 is an even composite number composed of seven prime numbers multiplied together.
What does the number 138938448859392 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 1944 divisors.
138938448859392 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of one thousand, nine hundred forty-four divisors.
Prime factorization of 138938448859392:
28 × 3 × 7 × 132 × 192 × 37 × 1072
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 7 × 13 × 13 × 19 × 19 × 37 × 107 × 107)See below for interesting mathematical facts about the number 138938448859392 from the Numbermatics database.
Names of 138938448859392
- Cardinal: 138938448859392 can be written as One hundred thirty-eight trillion, nine hundred thirty-eight billion, four hundred forty-eight million, eight hundred fifty-nine thousand, three hundred ninety-two.
Scientific notation
- Scientific notation: 1.38938448859392 × 1014
Factors of 138938448859392
Divisors of 138938448859392
- Number of divisors d(n): 1944
-
Complete list of divisors:
1 2 3 4 6 7 8 12 13 14 16 19 21 24 26 28 32 37 38 39 42 48 52 56 57 64 74 76 78 84 91 96 104 107 111 112 114 128 133 148 152 156 168 169 182 192 208 214 222 224 228 247 256 259 266 273 296 304 312 321 336 338 361 364 384 399 416 428 444 448 456 481 494 507 518 532 546 592 608 624 642 672 676 703 722 728 741 749 768 777 798 832 856 888 896 912 962 988 1014 1036 1064 1083 1092 1183 1184 1216 1248 1284 1344 1352 1391 1406 1443 1444 1456 1482 1498 1554 1596 1664 1712 1729 1776 1792 1824 1924 1976 2028 2033 2072 2109 2128 2166 2184 2247 2366 2368 2432 2496 2527 2568 2688 2704 2782 2812 2886 2888 2912 2964 2996 3108 3192 3211 3328 3367 3424 3458 3549 3552 3648 3848 3952 3959 4056 4066 4144 4173 4218 4256 4332 4368 4494 4693 4732 4736 4864 4921 4992 5054 5136 5187 5376 5408 5564 5624 5772 5776 5824 5928 5992 6099 6216 6253 6384 6422 6734 6848 6916 7098 7104 7296 7581 7696 7904 7918 8112 8132 8288 8346 8436 8512 8664 8736 8988 9139 9386 9464 9472 9633 9737 9842 9984 10101 10108 10272 10374 10816 11128 11248 11449 11544 11552 11648 11856 11877 11984 12198 12432 12506 12768 12844 13357 13468 13696 13832 14079 14196 14208 14231 14592 14763 15162 15392 15808 15836 16224 16264 16576 16692 16872 17024 17328 17472 17976 18083 18278 18759 18772 18928 19266 19474 19684 20202 20216 20544 20748 21632 22256 22477 22496 22898 23088 23104 23296 23712 23754 23968 24396 24864 25012 25536 25688 26429 26714 26936 27392 27417 27664 27713 28158 28392 28416 28462 29211 29526 30324 30784 31616 31672 32448 32528 32851 33152 33384 33744 34048 34347 34656 34944 35952 36166 36556 37518 37544 37856 38532 38627 38948 39368 40071 40404 40432 41088 41496 42693 43264 43771 44512 44954 44992 45796 46176 46208 47424 47508 47936 48792 49728 50024 51072 51376 51467 52858 53428 53872 54249 54834 55328 55426 56316 56784 56924 58422 59052 60648 61009 61568 63232 63344 63973 64896 65056 65702 66304 66768 67431 67488 68694 69312 69888 71904 72332 73112 75036 75088 75221 75712 77064 77254 77896 78736 79287 80142 80143 80808 80864 82176 82992 83139 85386 87542 89024 89908 89984 91592 92352 92416 93499 94848 95016 95872 97584 98553 99456 100048 102144 102752 102934 105716 106856 107744 108498 109668 110656 110852 112632 113568 113848 115881 116844 118104 118807 121296 122018 123136 126581 126688 127946 129792 130112 131313 131404 133536 134862 134976 137388 138624 143808 144664 146224 148837 150072 150176 150442 151424 154128 154401 154508 155792 157472 158574 160284 160286 161616 161728 165984 166278 170772 173641 175084 178048 179816 179968 183027 183184 184704 185003 186998 189696 190032 191744 191919 195168 197106 198912 200096 205504 205868 211432 213712 215488 216996 217531 219336 221312 221704 225264 225663 227136 227696 231762 233688 236208 237614 240429 242592 244036 253162 253376 255892 260224 262626 262808 267072 269724 269952 270389 274776 277248 280497 287616 289328 292448 297674 300144 300352 300884 302848 308256 308802 309016 311584 314944 317148 320568 320572 323232 323456 331968 332556 341544 343577 347282 350168 356096 356421 359632 360269 366054 366368 369408 370006 373996 379743 380064 383838 390336 394212 400192 411008 411736 422864 423613 427063 427424 430976 433992 435062 438672 442624 443408 446511 450528 451326 454272 455392 463524 467376 472416 475228 480858 485184 488072 502151 506324 506752 511784 520448 520923 525252 525616 526547 534144 539448 539904 540778 549552 555009 560994 575232 578656 584896 595348 600288 600704 601768 616512 617604 618032 623168 629888 634296 641136 641144 646464 646912 652593 663936 665112 669071 683088 687154 694564 700336 712842 719264 720538 732108 732736 740012 747992 759486 760128 767676 780672 788424 800384 811167 822016 823472 831649 845728 847226 854126 854848 861952 867984 870124 877344 886816 893022 901056 902652 908544 910784 927048 934752 944832 950456 961716 970368 976144 977873 1004302 1012648 1013504 1023568 1030731 1041846 1041859 1050504 1051232 1053094 1068288 1078896 1080807 1081556 1099104 1110018 1121988 1157312 1169792 1190696 1200576 1201408 1203536 1215487 1233024 1235208 1236064 1246336 1259776 1268592 1270839 1281189 1282272 1282288 1292928 1305186 1327872 1330224 1338142 1366176 1374308 1389128 1400672 1425684 1429199 1438528 1441076 1464216 1465472 1480024 1495984 1506453 1518972 1520256 1522717 1535352 1561344 1576848 1579641 1600768 1622334 1646944 1663298 1691456 1694452 1708252 1709696 1735968 1740248 1754688 1773632 1786044 1802112 1805304 1821568 1854096 1869504 1889664 1900912 1923432 1934881 1940736 1952288 1955746 2007213 2008604 2025296 2047136 2061462 2083692 2083718 2101008 2102464 2106188 2157792 2161614 2163112 2198208 2220036 2243976 2257333 2314624 2339584 2381392 2401152 2405039 2407072 2430974 2466048 2470416 2472128 2492672 2494947 2537184 2541678 2562378 2564544 2564576 2585856 2610372 2660448 2676284 2732352 2748616 2778256 2801344 2827903 2851368 2858398 2877056 2882152 2928432 2930944 2933619 2960048 2965291 2991968 3012906 3037944 3040512 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704892032 711891544 723943168 724603893 731131856 732426877 742994304 751006464 752222198 758463888 759114496 772017519 772670112 780342654 793553088 800147712 813590336 835579264 837059288 859087164 859682512 866815872 866826688 876174208 882305736 891820176 899231424 899854592 901448464 917545758 923534976 925170792 925811936 933494016 950175408 960421728 966138524 1002268358 1011285184 1029356692 1030226816 1040456872 1057338048 1058070784 1067837316 1070470051 1085914752 1096697784 1097624832 1128333297 1138671744 1145449552 1169446656 1176407648 1189093568 1198975232 1220385504 1223394344 1233561056 1253368896 1255588932 1266900544 1280562304 1289523768 1300240032 1314261312 1349781888 1352172696 1360221343 1388717904 1396984082 1409784064 1423783088 1449207786 1462263712 1464853754 1485988608 1503402537 1504444396 1516927776 1544035038 1545340224 1560685308 1587106176 1627180672 1671158528 1674118576 1690742417 1718174328 1719365024 1733631744 1733653376 1752348416 1764611472 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5013475584 5022355728 5067602176 5072227251 5158095072 5200960128 5257045248 5408690784 5440885372 5554871616 5587936328 5695132352 5796831144 5849054848 5859415016 5964047427 6013610148 6017777584 6067711104 6176140152 6181360896 6242741232 6422820306 6696474304 6762969668 6872697312 6877460096 7058445888 7134561408 7211587712 7340366064 7401366336 7406495488 7601403264 7683373824 7729108192 7952063236 8018146864 8161328058 8234853536 8323654976 8381904492 8542698528 8563760408 8773582272 8789122524 9026666376 9163596416 9411261184 9521549401 9763084032 9778888574 9787154752 9868488448 10044711456 10144454502 10316190144 10401920256 10817381568 10881770744 11109743232 11175872656 11390264704 11593662288 11698109696 11718830032 11928094854 12027220296 12035555168 12135422208 12352280304 12485482464 12845640612 13392948608 13525939336 13745394624 13754920192 13916110663 14116891776 14269122816 14423175424 14668332861 14680732128 14802732672 15202806528 15458216384 15904126472 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68341588224 68510083264 70312980192 72213331008 76172395208 77532616551 78231108592 80357691648 81155636016 83496663978 87054165952 89406981248 92749298304 93750640256 95424758832 96217762368 96284441344 98818242432 99883859712 102765124896 103376822068 108207514688 111328885304 114258592812 117346662888 117445857024 127233011776 128290349824 130581248928 134110471872 137020166528 140625960384 144426662016 152344790416 155065233102 156462217184 162311272032 166993327956 174108331904 178813962496 180909438619 185498596608 187501280512 190849517664 192435524736 197636484864 205530249792 206753644136 216415029376 222657770608 228517185624 234693325776 254466023552 261162497856 268220943744 274040333056 281251920768 288853324032 304689580832 310130466204 312924434368 324622544064 333986655912 348216663808 361818877238 381699035328 384871049472 411060499584 413507288272 432830058752 445315541216 457034371248 469386651552 508932047104 522324995712 536441887488 542728315857 562503841536 609379161664 620260932408 625848868736 649245088128 667973311824 723637754476 763398070656 822120999168 827014576544 890631082432 914068742496 938773303104 1044649991424 1085456631714 1218758323328 1240521864816 1251697737472 1298490176256 1335946623648 1447275508952 1526796141312 1654029153088 1781262164864 1828137484992 1877546606208 2170913263428 2437516646656 2481043729632 2671893247296 2894551017904 3308058306176 3562524329728 3656274969984 3755093212416 4341826526856 4962087459264 5343786494592 5789102035808 6616116612352 7312549939968 8683653053712 9924174918528 10687572989184 11578204071616 17367306107424 19848349837056 23156408143232 34734612214848 46312816286464 69469224429696 138938448859392
- Sum of all divisors σ(n): 500697766086336
- Sum of proper divisors (its aliquot sum) s(n): 361759317226944
- 138938448859392 is an abundant number, because the sum of its proper divisors (361759317226944) is greater than itself. Its abundance is 222820868367552
Bases of 138938448859392
- Binary: 111111001011101001000001110001111010001000000002
- Hexadecimal: 0x7E5D20E3D100
- Base-36: 1D8ZFX5ZPC
Squares and roots of 138938448859392
- 138938448859392 squared (1389384488593922) is 19303892571453886145786609664
- 138938448859392 cubed (1389384488593923) is 2682052890826142889431191408497807524364288
-
The
square root of 138938448859392 is 11787215.4837091189 -
The
cube root of 138938448859392 is 51793.3674740955
Scales and comparisons
How big is 138938448859392?- 138,938,448,859,392 seconds is equal to 4,417,812 years, 47 weeks, 1 day, 20 hours, 3 minutes, 12 seconds.
-
To count from 1 to 138,938,448,859,392 would take you about eleven million, forty-four thousand, five hundred thirty-two 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 138938448859392 cubic inches would be around 4316.1 feet tall.
Recreational maths with 138938448859392
- 138938448859392 backwards is 293958844839831
- 138938448859392 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 138938448859392's digits is 84
- More coming soon!
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MLA style:
"Number 138938448859392 - Facts about the integer". Numbermatics.com. 2024. Web. 25 June 2024.
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Numbermatics. (2024). Number 138938448859392 - Facts about the integer. Retrieved 25 June 2024, from https://numbermatics.com/n/138938448859392/
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The information we have on file for 138938448859392 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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