138513315766400
138,513,315,766,400 is an even composite number composed of six prime numbers multiplied together.
What does the number 138513315766400 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 384 divisors.
138513315766400 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 138513315766400:
27 × 52 × 23 × 683 × 1093 × 2521
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 23 × 683 × 1093 × 2521)See below for interesting mathematical facts about the number 138513315766400 from the Numbermatics database.
Names of 138513315766400
- Cardinal: 138513315766400 can be written as One hundred thirty-eight trillion, five hundred thirteen billion, three hundred fifteen million, seven hundred sixty-six thousand, four hundred.
Scientific notation
- Scientific notation: 1.385133157664 × 1014
Factors of 138513315766400
Divisors of 138513315766400
- Number of divisors d(n): 384
-
Complete list of divisors:
1 2 4 5 8 10 16 20 23 25 32 40 46 50 64 80 92 100 115 128 160 184 200 230 320 368 400 460 575 640 683 736 800 920 1093 1150 1366 1472 1600 1840 2186 2300 2521 2732 2944 3200 3415 3680 4372 4600 5042 5464 5465 6830 7360 8744 9200 10084 10928 10930 12605 13660 14720 15709 17075 17488 18400 20168 21856 21860 25139 25210 27320 27325 31418 34150 34976 36800 40336 43712 43720 50278 50420 54640 54650 57983 62836 63025 68300 69952 73600 78545 80672 87424 87440 100556 100840 109280 109300 115966 125672 125695 126050 136600 139904 157090 161344 174880 201112 201680 218560 218600 231932 251344 251390 252100 273200 289915 314180 322688 349760 392725 402224 403360 437120 437200 463864 502688 502780 504200 546400 579830 628360 628475 699520 746519 785450 804448 806720 874400 927728 1005376 1005560 1008400 1092800 1159660 1256720 1256950 1449575 1493038 1570900 1608896 1613440 1721843 1748800 1855456 2010752 2011120 2016800 2185600 2319320 2513440 2513900 2755453 2899150 2986076 3141800 3217792 3443686 3497600 3710912 3732595 4022240 4033600 4638640 5026880 5027800 5510906 5798300 5972152 6283600 6887372 7421824 7465190 8044480 8067200 8609215 9277280 10053760 10055600 11021812 11596600 11944304 12567200 13774744 13777265 14930380 16088960 17169937 17218430 18554560 18662975 20111200 22043624 23193200 23888608 25134400 27549488 27554530 29860760 34339874 34436860 37109120 37325950 39602389 40222400 43046075 44087248 46386400 47777216 50268800 55098976 55109060 59721520 63375419 68679748 68873720 68886325 74651900 79204778 80444800 85849685 86092150 88174496 92772800 95554432 110197952 110218120 119443040 126750838 137359496 137747440 137772650 149303800 158409556 171699370 172184300 176348992 185545600 198011945 220395904 220436240 238886080 253501676 274718992 275494880 275545300 298607600 316819112 316877095 343398740 344368600 352697984 396023890 429248425 440872480 477772160 507003352 549437984 550989760 551090600 597215200 633638224 633754190 686797480 688737200 792047780 858496850 881744960 990059725 1014006704 1098875968 1101979520 1102181200 1194430400 1267276448 1267508380 1373594960 1377474400 1584095560 1584385475 1716993700 1763489920 1881974399 1980119450 2028013408 2197751936 2204362400 2388860800 2534552896 2535016760 2747189920 2754948800 3168191120 3168770950 3433987400 3763948798 3960238900 4056026816 4408724800 5069105792 5070033520 5494379840 5509897600 6336382240 6337541900 6867974800 7527897596 7920477800 8112053632 8817449600 9409871995 10140067040 10988759680 12672764480 12675083800 13735949600 15055795192 15840955600 18819743990 20280134080 25345528960 25350167600 27471899200 30111590384 31681911200 37639487980 40560268160 43285411177 47049359975 50700335200 54943798400 60223180768 63363822400 75278975960 86570822354 94098719950 101400670400 120446361536 126727644800 150557951920 173141644708 188197439900 202801340800 216427055885 240892723072 301115903840 346283289416 376394879800 432854111770 602231807680 692566578832 752789759600 865708223540 1082135279425 1204463615360 1385133157664 1505579519200 1731416447080 2164270558850 2770266315328 3011159038400 3462832894160 4328541117700 5540532630656 6022318076800 6925665788320 8657082235400 13851331576640 17314164470800 27702663153280 34628328941600 69256657883200 138513315766400
- Sum of all divisors σ(n): 358040060576640
- Sum of proper divisors (its aliquot sum) s(n): 219526744810240
- 138513315766400 is an abundant number, because the sum of its proper divisors (219526744810240) is greater than itself. Its abundance is 81013429043840
Bases of 138513315766400
- Binary: 111110111111010001001001111101110100000100000002
- Hexadecimal: 0x7DFA24FBA080
- Base-36: 1D3K4ZWDQ8
Squares and roots of 138513315766400
- 138513315766400 squared (1385133157664002) is 19185938644602434819368960000
- 138513315766400 cubed (1385133157664003) is 2657507977754593481125526903266770944000000
-
The
square root of 138513315766400 is 11769168.0150467731 -
The
cube root of 138513315766400 is 51740.4865727011
Scales and comparisons
How big is 138513315766400?- 138,513,315,766,400 seconds is equal to 4,404,294 years, 51 weeks, 3 days, 22 hours, 13 minutes, 20 seconds.
-
To count from 1 to 138,513,315,766,400 would take you about eleven million, ten thousand, seven 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 138513315766400 cubic inches would be around 4311.7 feet tall.
Recreational maths with 138513315766400
- 138513315766400 backwards is 004667513315831
- The number of decimal digits it has is: 15
- The sum of 138513315766400's digits is 53
- More coming soon!
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