138213748420547904
138,213,748,420,547,904 is an even composite number composed of five prime numbers multiplied together.
What does the number 138213748420547904 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 1470 divisors.
138213748420547904 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one thousand, four hundred seventy divisors.
Prime factorization of 138213748420547904:
26 × 36 × 134 × 181 × 7572
(2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 3 × 13 × 13 × 13 × 13 × 181 × 757 × 757)See below for interesting mathematical facts about the number 138213748420547904 from the Numbermatics database.
Names of 138213748420547904
- Cardinal: 138213748420547904 can be written as One hundred thirty-eight quadrillion, two hundred thirteen trillion, seven hundred forty-eight billion, four hundred twenty million, five hundred forty-seven thousand, nine hundred four.
Scientific notation
- Scientific notation: 1.38213748420547904 × 1017
Factors of 138213748420547904
Divisors of 138213748420547904
- Number of divisors d(n): 1470
-
Complete list of divisors:
1 2 3 4 6 8 9 12 13 16 18 24 26 27 32 36 39 48 52 54 64 72 78 81 96 104 108 117 144 156 162 169 181 192 208 216 234 243 288 312 324 338 351 362 416 432 468 486 507 543 576 624 648 676 702 724 729 757 832 864 936 972 1014 1053 1086 1248 1296 1352 1404 1448 1458 1514 1521 1629 1728 1872 1944 2028 2106 2172 2197 2271 2353 2496 2592 2704 2808 2896 2916 3028 3042 3159 3258 3744 3888 4056 4212 4344 4394 4542 4563 4706 4887 5184 5408 5616 5792 5832 6056 6084 6318 6516 6591 6813 7059 7488 7776 8112 8424 8688 8788 9084 9126 9412 9477 9774 9841 10816 11232 11584 11664 12112 12168 12636 13032 13182 13626 13689 14118 14661 15552 16224 16848 17376 17576 18168 18252 18824 18954 19548 19682 19773 20439 21177 22464 23328 24224 24336 25272 26064 26364 27252 27378 28236 28561 29322 29523 30589 32448 33696 34752 35152 36336 36504 37648 37908 39096 39364 39546 40878 41067 42354 43983 46656 48448 48672 50544 52128 52728 54504 54756 56472 57122 58644 59046 59319 61178 61317 63531 67392 70304 72672 73008 75296 75816 78192 78728 79092 81756 82134 84708 85683 87966 88569 91767 97344 101088 104256 105456 109008 109512 112944 114244 117288 118092 118638 122356 122634 123201 127062 127933 131949 137017 140608 145344 146016 150592 151632 156384 157456 158184 163512 164268 169416 171366 175932 177138 177957 183534 183951 190593 202176 210912 218016 219024 225888 228488 234576 236184 237276 244712 245268 246402 254124 255866 257049 263898 265707 274034 275301 292032 303264 312768 314912 316368 327024 328536 338832 342732 351864 354276 355914 367068 367902 381186 383799 397657 411051 421824 436032 438048 451776 456976 469152 472368 474552 489424 490536 492804 508248 511732 514098 527796 531414 533871 548068 550602 551853 571779 573049 606528 629824 632736 654048 657072 677664 685464 703728 708552 711828 734136 735804 762372 767598 771147 795314 797121 822102 825903 876096 913952 938304 944736 949104 978848 981072 985608 1016496 1023464 1028196 1055592 1062828 1067742 1096136 1101204 1103706 1143558 1146098 1151397 1192971 1233153 1265472 1308096 1314144 1355328 1370928 1407456 1417104 1423656 1468272 1471608 1524744 1535196 1542294 1590628 1594242 1601613 1644204 1651806 1663129 1715337 1719147 1781221 1827904 1889472 1898208 1957696 1962144 1971216 2032992 2046928 2056392 2111184 2125656 2135484 2192272 2202408 2207412 2287116 2292196 2302794 2313441 2385942 2391363 2466306 2477709 2628288 2741856 2814912 2834208 2847312 2936544 2943216 3049488 3070392 3084588 3181256 3188484 3203226 3288408 3303612 3326258 3430674 3438294 3454191 3562442 3578913 3699459 3796416 3924288 3942432 4065984 4093856 4112784 4222368 4251312 4270968 4384544 4404816 4414824 4574232 4584392 4605588 4626882 4771884 4782726 4932612 4955418 4989387 5157441 5169541 5343663 5483712 5668416 5694624 5873088 5886432 6098976 6140784 6169176 6362512 6376968 6406452 6576816 6607224 6652516 6861348 6876588 6908382 6940323 7124884 7157826 7174089 7398918 7433127 7449637 7884864 8187712 8225568 8444736 8502624 8541936 8769088 8809632 8829648 9148464 9168784 9211176 9253764 9543768 9565452 9865224 9910836 9978774 10314882 10339082 10362573 10687326 10736739 11098377 11389248 11772864 12197952 12281568 12338352 12725024 12753936 12812904 13153632 13214448 13305032 13722696 13753176 13816764 13880646 14249768 14315652 14348178 14797836 14866254 14899274 14968161 15472323 15508623 16030989 16451136 17005248 17083872 17619264 17659296 18296928 18337568 18422352 18507528 19087536 19130904 19730448 19821672 19957548 20629764 20678164 20725146 20820969 21374652 21473478 21620677 22196754 22299381 22348911 23155873 24563136 24676704 25450048 25507872 25625808 26307264 26428896 26610064 27445392 27506352 27633528 27761292 28499536 28631304 28696356 29595672 29732508 29798548 29936322 30944646 31017246 31087719 32061978 32210217 33295131 34167744 35318592 36593856 36675136 36844704 37015056 38175072 38261808 39460896 39643344 39915096 41259528 41356328 41450292 41641938 42749304 42946956 43241354 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18458032641633 19579791531456 20286767711808 20970072586944 21211440825744 21876186834528 22717578635856 22822613675784 23699202404072 23862870928962 24610710188844 25557275965338 26661602704581 28281921100992 29369687297184 30290104847808 30430151567712 31455108880416 31817161238616 32814280251792 34076367953784 35548803606108 36916065283266 42422881651488 43752373669056 45435157271712 45645227351568 47398404808144 47725741857924 49221420377688 51114551930676 53323205409162 55374097924899 58739374594368 60860303135424 62910217760832 63634322477232 65628560503584 68152735907568 71097607212216 73832130566532 79984808113743 84845763302976 90870314543424 91290454703136 94796809616288 95451483715848 98442840755376 102229103861352 106646410818324 110748195849798 127268644954464 131257121007168 136305471815136 142195214424432 147664261133064 159969616227486 166122293774697 182580909406272 189593619232576 190902967431696 196885681510752 204458207722704 213292821636648 221496391699596 239954424341229 254537289908928 272610943630272 284390428848864 295328522266128 319939232454972 332244587549394 381805934863392 393771363021504 408916415445408 426585643273296 442992783399192 479908848682458 568780857697728 590657044532256 639878464909944 664489175098788 719863273023687 763611869726784 817832830890816 853171286546592 885985566798384 959817697364916 1181314089064512 1279756929819888 1328978350197576 1439726546047374 1706342573093184 1771971133596768 1919635394729832 2159589819071061 2559513859639776 2657956700395152 2879453092094748 3543942267193536 3839270789459664 4319179638142122 5119027719279552 5315913400790304 5758906184189496 7678541578919328 8638359276284244 10631826801580608 11517812368378992 15357083157838656 17276718552568488 23035624736757984 34553437105136976 46071249473515968 69106874210273952 138213748420547904
- Sum of all divisors σ(n): 448534092388537974
- Sum of proper divisors (its aliquot sum) s(n): 310320343967990070
- 138213748420547904 is an abundant number, because the sum of its proper divisors (310320343967990070) is greater than itself. Its abundance is 172106595547442166
Bases of 138213748420547904
- Binary: 1111010110000100010101100000000011010111010010101010000002
- Hexadecimal: 0x1EB08AC01AE9540
- Base-36: 11SWONH0D000
Squares and roots of 138213748420547904
- 138213748420547904 squared (1382137484205479042) is 19103040252458508227628923558793216
- 138213748420547904 cubed (1382137484205479043) is 2640302799520900174828487160362407432760275758219264
-
The
square root of 138213748420547904 is 371771096.8062846923 -
The
cube root of 138213748420547904 is 517031.5936088855
Scales and comparisons
How big is 138213748420547904?- 138,213,748,420,547,904 seconds is equal to 4,394,769,676 years, 30 weeks, 20 hours, 38 minutes, 24 seconds.
-
To count from 1 to 138,213,748,420,547,904 would take you about thirteen billion, one hundred eighty-four million, three hundred nine thousand and twenty-nine 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 138213748420547904 cubic inches would be around 43086 feet tall.
Recreational maths with 138213748420547904
- 138213748420547904 backwards is 409745024847312831
- 138213748420547904 is a
Harshad number . - The number of decimal digits it has is: 18
- The sum of 138213748420547904's digits is 72
- More coming soon!
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"Number 138213748420547904 - Facts about the integer". Numbermatics.com. 2024. Web. 12 June 2024.
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Numbermatics. (2024). Number 138213748420547904 - Facts about the integer. Retrieved 12 June 2024, from https://numbermatics.com/n/138213748420547904/
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The information we have on file for 138213748420547904 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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