138303842256216
138,303,842,256,216 is an even composite number composed of six prime numbers multiplied together.
138303842256216 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of three hundred eighty-four divisors.
Prime factorization of 138303842256216:
23 × 33 × 72 × 13 × 73 × 13769501
(2 × 2 × 2 × 3 × 3 × 3 × 7 × 7 × 13 × 73 × 13769501)See below for interesting mathematical facts about the number 138303842256216 from the Numbermatics database.
Names of 138303842256216
- Cardinal: 138303842256216 can be written as One hundred thirty-eight trillion, three hundred three billion, eight hundred forty-two million, two hundred fifty-six thousand, two hundred sixteen.
Scientific notation
- Scientific notation: 1.38303842256216 × 1014
Factors of 138303842256216
Divisors of 138303842256216
- Number of divisors d(n): 384
-
Complete list of divisors:
1 2 3 4 6 7 8 9 12 13 14 18 21 24 26 27 28 36 39 42 49 52 54 56 63 72 73 78 84 91 98 104 108 117 126 146 147 156 168 182 189 196 216 219 234 252 273 292 294 312 351 364 378 392 438 441 468 504 511 546 584 588 637 657 702 728 756 819 876 882 936 949 1022 1092 1176 1274 1314 1323 1404 1512 1533 1638 1752 1764 1898 1911 1971 2044 2184 2457 2548 2628 2646 2808 2847 3066 3276 3528 3577 3796 3822 3942 4088 4599 4914 5096 5256 5292 5694 5733 6132 6552 6643 7154 7592 7644 7884 8541 9198 9828 10584 10731 11388 11466 12264 13286 13797 14308 15288 15768 17082 17199 18396 19656 19929 21462 22776 22932 25623 26572 27594 28616 32193 34164 34398 36792 39858 42924 45864 46501 51246 53144 55188 59787 64386 68328 68796 79716 85848 93002 96579 102492 110376 119574 128772 137592 139503 159432 179361 186004 193158 204984 239148 257544 279006 358722 372008 386316 418509 478296 558012 717444 772632 837018 1116024 1255527 1434888 1674036 2511054 3348072 5022108 10044216 13769501 27539002 41308503 55078004 82617006 96386507 110156008 123925509 165234012 179003513 192773014 247851018 289159521 330468024 358007026 371776527 385546028 495702036 537010539 578319042 674705549 716014052 743553054 771092056 867478563 991404072 1005173573 1074021078 1156638084 1253024591 1349411098 1432028104 1487106108 1611031617 1734957126 2010347146 2024116647 2148042156 2313276168 2506049182 2602435689 2698822196 2974212216 3015520719 3222063234 3469914252 3759073773 4020694292 4048233294 4296084312 4833094851 5012098364 5204871378 5397644392 6031041438 6072349941 6444126468 6939828504 7036215011 7518147546 8041388584 8096466588 8771172137 9046562157 9666189702 10024196728 10409742756 11277221319 12062082876 12144699882 12888252936 13067256449 14072430022 15036295092 16192933176 17542344274 18093124314 18217049823 19332379404 20819485512 21108645033 22554442638 24124165752 24289399764 26134512898 26313516411 27139686471 28144860044 30072590184 33831663957 35084688548 36186248628 36434099646 38664758808 39201769347 42217290066 45108885276 48578799528 49253505077 52269025796 52627032822 54279372942 56289720088 63325935099 67663327914 70169377096 72372497256 72868199292 78403538694 78940549233 84434580132 90217770552 91470795143 98507010154 104538051592 105254065644 108558745884 117605308041 126651870198 135326655828 145736398584 147760515231 156807077388 157881098466 168869160264 182941590286 189977805297 197014020308 210508131288 217117491768 235210616082 236821647699 253303740396 270653311656 274412385429 295521030462 313614154776 315762196932 352815924123 365883180572 379955610594 394028040616 443281545693 470421232164 473643295398 506607480792 548824770858 591042060924 631524393864 640295566001 705631848246 731766361144 759911221188 823237156287 886563091386 940842464328 947286590796 1097649541716 1182084121848 1280591132002 1329844637079 1411263696492 1519822442376 1646474312574 1773126182772 1894573181592 1920886698003 2195299083432 2469711468861 2561182264004 2659689274158 2822527392984 3292948625148 3546252365544 3841773396006 4939422937722 5122364528008 5319378548316 5762660094009 6585897250296 7683546792012 9878845875444 10638757096632 11525320188018 15367093584024 17287980282027 19757691750888 23050640376036 34575960564054 46101280752072 69151921128108 138303842256216
- Sum of all divisors σ(n): 487869979262400
- Sum of proper divisors (its aliquot sum) s(n): 349566137006184
- 138303842256216 is an abundant number, because the sum of its proper divisors (349566137006184) is greater than itself. Its abundance is 211262294749968
Bases of 138303842256216
- Binary: 111110111001001010111110110001110000101010110002
- Hexadecimal: 0x7DC95F638558
- Base-36: 1D0VWOS2U0
Squares and roots of 138303842256216
- 138303842256216 squared (1383038422562162) is 19127952782832278429390638656
- 138303842256216 cubed (1383038422562163) is 2645469364361183298604606095023268225885696
-
The
square root of 138303842256216 is 11760265.3990552441 -
The
cube root of 138303842256216 is 51714.3910563269
Scales and comparisons
How big is 138303842256216?- 138,303,842,256,216 seconds is equal to 4,397,634 years, 19 weeks, 6 days, 3 minutes, 36 seconds.
-
To count from 1 to 138,303,842,256,216 would take you about ten million, nine hundred ninety-four thousand and eighty-five 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 138303842256216 cubic inches would be around 4309.5 feet tall.
Recreational maths with 138303842256216
- 138303842256216 backwards is 612652248303831
- 138303842256216 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 138303842256216's digits is 54
- More coming soon!
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