138474315360576
138,474,315,360,576 is an even composite number composed of six prime numbers multiplied together.
What does the number 138474315360576 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 2016 divisors.
138474315360576 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of two thousand and sixteen divisors.
Prime factorization of 138474315360576:
26 × 35 × 133 × 292 × 61 × 79
(2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 13 × 13 × 13 × 29 × 29 × 61 × 79)See below for interesting mathematical facts about the number 138474315360576 from the Numbermatics database.
Names of 138474315360576
- Cardinal: 138474315360576 can be written as One hundred thirty-eight trillion, four hundred seventy-four billion, three hundred fifteen million, three hundred sixty thousand, five hundred seventy-six.
Scientific notation
- Scientific notation: 1.38474315360576 × 1014
Factors of 138474315360576
Divisors of 138474315360576
- Number of divisors d(n): 2016
-
Complete list of divisors:
1 2 3 4 6 8 9 12 13 16 18 24 26 27 29 32 36 39 48 52 54 58 61 64 72 78 79 81 87 96 104 108 116 117 122 144 156 158 162 169 174 183 192 208 216 232 234 237 243 244 261 288 312 316 324 338 348 351 366 377 416 432 464 468 474 486 488 507 522 549 576 624 632 648 676 696 702 711 732 754 783 793 832 841 864 928 936 948 972 976 1014 1027 1044 1053 1098 1131 1248 1264 1296 1352 1392 1404 1422 1464 1508 1521 1566 1586 1647 1682 1728 1769 1856 1872 1896 1944 1952 2028 2054 2088 2106 2133 2196 2197 2262 2291 2349 2379 2496 2523 2528 2592 2704 2784 2808 2844 2928 3016 3042 3081 3132 3159 3172 3294 3364 3393 3538 3744 3792 3888 3904 4056 4108 4176 4212 4266 4392 4394 4524 4563 4582 4698 4758 4819 4901 4941 5046 5056 5184 5307 5408 5568 5616 5688 5856 6032 6084 6162 6264 6318 6344 6399 6588 6591 6728 6786 6873 7047 7076 7137 7488 7569 7584 7776 8112 8216 8352 8424 8532 8784 8788 9048 9126 9164 9243 9396 9516 9638 9802 9882 10092 10179 10309 10614 10816 10933 11232 11376 11712 12064 12168 12324 12528 12636 12688 12798 13176 13182 13351 13456 13572 13689 13746 14094 14152 14274 14457 14703 14823 15138 15168 15552 15921 16224 16432 16704 16848 17064 17568 17576 18096 18252 18328 18486 18792 19032 19197 19276 19604 19764 19773 20184 20358 20618 20619 21228 21411 21866 22464 22707 22752 22997 24128 24336 24648 25056 25272 25376 25596 26352 26364 26702 26912 27144 27378 27492 27729 28188 28304 28548 28914 29406 29646 29783 30276 30537 30927 31842 32448 32799 32864 33696 34128 35136 35152 36192 36504 36656 36972 37584 38064 38394 38552 39208 39528 39546 40053 40368 40716 41067 41236 41238 42456 42822 43371 43732 44109 45414 45504 45994 47763 48672 49296 50112 50544 50752 51192 51301 52704 52728 53404 53824 54288 54756 54984 55458 56376 56608 57096 57828 58812 59292 59319 59566 60552 61074 61854 61857 62647 63684 63713 64233 65598 65728 66439 67392 68121 68256 68991 70304 72384 73008 73312 73944 75168 76128 76788 77104 78416 79056 79092 80106 80736 81432 82134 82472 82476 83187 84912 85644 86742 87464 88218 89349 90828 91611 91988 92781 95526 97344 98397 98592 101088 102384 102602 105408 105456 106808 108576 109512 109968 110916 112752 113216 114192 115656 117624 118584 118638 119132 120159 121104 122148 123708 123714 125294 127368 127426 128466 130113 131196 132327 132878 134017 136242 136512 137982 139751 140608 142129 143289 146016 146624 147888 150336 152256 153576 153903 154208 156832 158112 158184 160212 161472 162864 164268 164944 164952 166374 169824 171288 173484 173563 174928 176436 177957 178698 181656 183222 183976 185562 185571 187941 191052 191139 192699 196794 197184 199317 202176 204363 204768 205204 206973 210912 213616 217152 219024 219936 221832 225504 228384 231312 235248 237168 237276 238264 240318 242208 244296 247416 247428 249561 250588 254736 254852 256932 260226 262392 264654 265756 268034 268047 272484 275964 278343 279502 284258 286578 292032 295191 295776 298961 307152 307806 308416 313664 316224 316368 320424 325728 328536 329888 329904 332748 339648 342576 346968 347126 349856 352872 355914 357396 360477 363312 366444 367952 371124 371142 375882 382104 382278 385398 387179 390339 393588 396981 398634 402051 408726 409536 410408 413946 419253 421824 426387 427232 429867 438048 439872 443664 451008 456768 461709 462624 470496 474336 474552 476528 480636 484416 488592 494832 494856 499122 501176 509472 509704 513864 520452 520689 524784 529308 531512 533871 536068 536094 544968 551928 556686 556713 559004 563823 568516 573156 573417 590382 591552 597922 597951 614304 615612 620919 632736 640848 651456 657072 659776 659808 665496 666913 685152 693936 694252 699712 705744 711828 714792 720954 726624 732888 735904 742248 742284 751764 764208 764556 770796 774358 780678 787176 793962 797268 804102 804141 814411 817452 820816 827892 835029 838506 852774 854464 859734 863707 876096 885573 887328 896883 923418 925248 940992 948672 949104 953056 961272 977184 989664 989712 998244 1002352 1018944 1019408 1027728 1040904 1041378 1049568 1058616 1063024 1067742 1072136 1072188 1081431 1089936 1103856 1113372 1113426 1118008 1127646 1137032 1146312 1146834 1161537 1171017 1180764 1190943 1195844 1195902 1206153 1228608 1231224 1241838 1257759 1265472 1279161 1281696 1314144 1319616 1330992 1333826 1370304 1385127 1387872 1388504 1411488 1423656 1429584 1441908 1453248 1465776 1471808 1484496 1484568 1503528 1528416 1529112 1541592 1548716 1561356 1562067 1574352 1587924 1594536 1608204 1608282 1628822 1634904 1641632 1655784 1670058 1677012 1691469 1705548 1719468 1720251 1727414 1771146 1774656 1793766 1793853 1816763 1846836 1847677 1862757 1898208 1906112 1922544 1954368 1979328 1979424 1996488 2000739 2004704 2038816 2055456 2081808 2082756 2099136 2117232 2126048 2135484 2144272 2144376 2162862 2179872 2207712 2226744 2226852 2236016 2255292 2274064 2292624 2293668 2323074 2342034 2361528 2381886 2391688 2391804 2412306 2412423 2443233 2462448 2483676 2505087 2515518 2558322 2563392 2591121 2628288 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373121424 376337988 377886704 381144348 384141888 387453456 389066784 392420808 395803746 398916576 399098232 404214876 407699487 416153712 419741244 419761602 421489016 425122542 432159624 437700132 437899449 441473409 448985511 449875296 450833188 463185216 468172926 469100736 474175143 483199392 487143072 495432288 497495232 501783984 508192464 516604608 516629664 521058096 523227744 527738328 532130976 538953168 543351888 543599316 552597552 554871616 559654992 559682136 566830056 571716522 576212832 581180184 583600176 583865932 588631212 598647348 606322314 614065894 624230568 629611866 632233524 637683813 648239436 656550198 669045312 674812944 676249782 677589952 684919651 694744128 702259389 703651104 718604224 724469184 724799088 736796736 746206656 746242848 752675976 755773408 762288696 774906912 778133568 784841616 791607492 797833152 798196464 808429752 815398974 832307424 839482488 839523204 842978032 850245084 857574783 864319248 875400264 875798898 882946818 897971022 899750592 901666376 909483471 921098841 936345852 944417799 948350286 966398784 974286144 984825297 990864576 1003567968 1014374673 1016384928 1033259328 1042116192 1046455488 1055476656 1064261952 1077906336 1086703776 1087198632 1105195104 1119309984 1119364272 1133660112 1143433044 1152425664 1162360368 1167200352 1167731864 1177262424 1197294696 1212644628 1223098461 1228131788 1248461136 1259223732 1264467048 1275367626 1296478872 1313100396 1313698347 1349625888 1352499564 1369839302 1404518778 1407302208 1422525429 1449598176 1492485696 1505351952 1511546816 1524577392 1549813824 1569683232 1583214984 1596392928 1616859504 1630797948 1664614848 1678964976 1679046408 1685956064 1700490168 1715149566 1728638496 1750800528 1751597796 1765893636 1795942044 1803332752 1818966942 1842197682 1872691704 1888835598 1896700572 1913051439 1969650594 2007135936 2028749346 2032769856 2054758953 2084232384 2106778167 2110953312 2155812672 2173407552 2174397264 2210390208 2238619968 2238728544 2267320224 2286866088 2324720736 2334400704 2335463728 2354524848 2394589392 2425289256 2446196922 2456263576 2496922272 2518447464 2528934096 2550735252 2572724349 2592957744 2626200792 2627396694 2699251776 2704999128 2728450413 2739678604 2763296523 2809037556 2845050858 2899196352 3010703904 3043124019 3049154784 3139366464 3166429968 3192785856 3233719008 3261595896 3357929952 3358092816 3371912128 3400980336 3430299132 3457276992 3501601056 3503195592 3531787272 3591884088 3606665504 3637933884 3684395364 3745383408 3777671196 3793401144 3826102878 3939301188 3941095041 4057498692 4109517906 4213556334 4221906624 4267576287 4348794528 4477457088 4534640448 4573732176 4649441472 4670927456 4709049696 4789178784 4850578512 4892393844 4912527152 4993844544 5036894928 5057868192 5101470504 5145448698 5185915488 5252401584 5254793388 5409998256 5456900826 5479357208 5526593046 5618075112 5690101716 5739154317 6021407808 6086248038 6098309568 6164276859 6332859936 6467438016 6523191792 6715859904 6716185632 6801960672 6860598264 7003202112 7006391184 7063574544 7183768176 7213331008 7275867768 7368790728 7490766816 7555342392 7586802288 7652205756 7878602376 7882190082 8114997384 8219035812 8289889569 8427112668 8535152574 8697589056 8903955463 9129372057 9147464352 9341854912 9418099392 9578357568 9701157024 9784787688 9825054304 10073789856 10115736384 10202941008 10290897396 10371830976 10504803168 10509586776 10819996512 10913801652 10958714416 11053186092 11236150224 11380203432 11478308634 11823285123 12172496076 12328553718 12665719872 12802728861 13046383584 13432371264 13603921344 13721196528 14012782368 14127149088 14367536352 14551735536 14737581456 14981533632 15110684784 15173604576 15304411512 15757204752 15764380164 16229994768 16438071624 16579779138 16854225336 17070305148 17807910926 18258744114 18294928704 18492830577 19402314048 19569575376 19650108608 20147579712 20405882016 20581794792 21009606336 21019173552 21639993024 21827603304 21917428832 22106372184 22472300448 22760406864 22956617268 23646570246 24344992152 24657107436 24869668707 25605457722 26092767168 26711866389 27388116171 27442393056 28025564736 28254298176 28735072704 29103471072 29475162912 30221369568 30347209152 30608823024 31514409504 31528760328 32459989536 32876143248 33159558276 33708450672 34140610296 35469855369 35615821852 36517488228 36985661154 39139150752 40811764032 41163589584 42038347104 43655206608 43834857664 44212744368 44944600896 45520813728 45913234536 47293140492 48689984304 49314214872 49739337414 51210915444 53423732778 54776232342 54884786112 55478491731 58206942144 58950325824 60442739136 61217646048 63028819008 63057520656 64919979072 65752286496 66319116552 67416901344 68281220592 70939710738 71231643704 73034976456 73971322308 74609006121 78278301504 80135599167 82327179168 84076694208 87310413216 88425488736 91041627456 91826469072 94586280984 97379968608 98628429744 99478674828 102421830888 106847465556 109552464684 110956983462 122435292096 126115041312 131504572992 132638233104 134833802688 136562441184 141879421476 142463287408 146069952912 147942644616 149218012242 160271198334 164654358336 166435475193 174620826432 176850977472 183652938144 189172561968 194759937216 197256859488 198957349656 204843661776 213694931112 219104929368 221913966924 240406797501 252230082624 265276466208 273124882368 283758842952 284926574816 292139905824 295885289232 298436024484 320542396668 332870950386 367305876288 378345123936 394513718976 397914699312 409687323552 427389862224 438209858736 443827933848 480813595002 530552932416 567517685904 569853149632 584279811648 591770578464 596872048968 641084793336 665741900772 721220392503 756690247872 795829398624 819374647104 854779724448 876419717472 887655867696 961627190004 1135035371808 1183541156928 1193744097936 1282169586672 1331483801544 1442440785006 1591658797248 1709559448896 1752839434944 1775311735392 1923254380008 2163661177509 2270070743616 2387488195872 2564339173344 2662967603088 2884881570012 3550623470784 3846508760016 4327322355018 4774976391744 5128678346688 5325935206176 5769763140024 7693017520032 8654644710036 10651870412352 11539526280048 15386035040064 17309289420072 23079052560096 34618578840144 46158105120192 69237157680288 138474315360576
- Sum of all divisors σ(n): 475315408422400
- Sum of proper divisors (its aliquot sum) s(n): 336841093061824
- 138474315360576 is an abundant number, because the sum of its proper divisors (336841093061824) is greater than itself. Its abundance is 198366777701248
Bases of 138474315360576
- Binary: 111110111110001000100000110000010101001010000002
- Hexadecimal: 0x7DF11060A940
- Base-36: 1D32802C00
Squares and roots of 138474315360576
- 138474315360576 squared (1384743153605762) is 19175136014580254340895051776
- 138474315360576 cubed (1384743153605763) is 2655263831564924575974508570793707629182976
-
The
square root of 138474315360576 is 11767511.0095795533 -
The
cube root of 138474315360576 is 51735.6300254399
Scales and comparisons
How big is 138474315360576?- 138,474,315,360,576 seconds is equal to 4,403,054 years, 46 weeks, 5 days, 8 hours, 9 minutes, 36 seconds.
-
To count from 1 to 138,474,315,360,576 would take you about eleven million, seven thousand, six hundred thirty-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 138474315360576 cubic inches would be around 4311.3 feet tall.
Recreational maths with 138474315360576
- 138474315360576 backwards is 675063513474831
- The number of decimal digits it has is: 15
- The sum of 138474315360576's digits is 63
- More coming soon!
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Cite this page
MLA style:
"Number 138474315360576 - Facts about the integer". Numbermatics.com. 2024. Web. 27 May 2024.
APA style:
Numbermatics. (2024). Number 138474315360576 - Facts about the integer. Retrieved 27 May 2024, from https://numbermatics.com/n/138474315360576/
Chicago style:
Numbermatics. 2024. "Number 138474315360576 - Facts about the integer". https://numbermatics.com/n/138474315360576/
The information we have on file for 138474315360576 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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