138356985537000
138,356,985,537,000 is an even composite number composed of five prime numbers multiplied together.
138356985537000 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of three hundred eighty-four divisors.
Prime factorization of 138356985537000:
23 × 32 × 53 × 311 × 3673
(2 × 2 × 2 × 3 × 3 × 5 × 5 × 5 × 311 × 367 × 367 × 367)See below for interesting mathematical facts about the number 138356985537000 from the Numbermatics database.
Names of 138356985537000
- Cardinal: 138356985537000 can be written as One hundred thirty-eight trillion, three hundred fifty-six billion, nine hundred eighty-five million, five hundred thirty-seven thousand.
Scientific notation
- Scientific notation: 1.38356985537 × 1014
Factors of 138356985537000
Divisors of 138356985537000
- Number of divisors d(n): 384
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Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 18 20 24 25 30 36 40 45 50 60 72 75 90 100 120 125 150 180 200 225 250 300 311 360 367 375 450 500 600 622 734 750 900 933 1000 1101 1125 1244 1468 1500 1555 1800 1835 1866 2202 2250 2488 2799 2936 3000 3110 3303 3670 3732 4404 4500 4665 5505 5598 6220 6606 7340 7464 7775 8808 9000 9175 9330 11010 11196 12440 13212 13995 14680 15550 16515 18350 18660 22020 22392 23325 26424 27525 27990 31100 33030 36700 37320 38875 44040 45875 46650 55050 55980 62200 66060 69975 73400 77750 82575 91750 93300 110100 111960 114137 116625 132120 134689 137625 139950 155500 165150 183500 186600 220200 228274 233250 269378 275250 279900 311000 330300 342411 349875 367000 404067 412875 456548 466500 538756 550500 559800 570685 660600 673445 684822 699750 808134 825750 913096 933000 1027233 1077512 1101000 1141370 1212201 1346890 1369644 1399500 1616268 1651500 1712055 2020335 2054466 2282740 2424402 2693780 2739288 2799000 2853425 3232536 3303000 3367225 3424110 4040670 4108932 4565480 4848804 5136165 5387560 5706850 6061005 6734450 6848220 8081340 8217864 8560275 9697608 10101675 10272330 11413700 12122010 13468900 13696440 14267125 16162680 16836125 17120550 20203350 20544660 22827400 24244020 25680825 26937800 28534250 30305025 33672250 34241100 40406700 41089320 41888279 42801375 48488040 49430863 50508375 51361650 57068500 60610050 67344500 68482200 80813400 83776558 85602750 98861726 101016750 102723300 114137000 121220100 125664837 128404125 134689000 148292589 151525125 167553116 171205500 197723452 202033500 205446600 209441395 242440200 247154315 251329674 256808250 296585178 303050250 335106232 342411000 376994511 395446904 404067000 418882790 444877767 494308630 502659348 513616500 593170356 606100500 628324185 741462945 753989022 837765580 889755534 988617260 1005318696 1027233000 1047206975 1186340712 1212201000 1235771575 1256648370 1482925890 1507978044 1675531160 1779511068 1884972555 1977234520 2094413950 2224388835 2471543150 2513296740 2965851780 3015956088 3141620925 3559022136 3707314725 3769945110 4188827900 4448777670 4943086300 5026593480 5236034875 5931703560 6178857875 6283241850 7414629450 7539890220 8377655800 8897555340 9424862775 9886172600 10472069750 11121944175 12357715750 12566483700 14829258900 15079780440 15372998393 15708104625 17795110680 18536573625 18849725550 20944139500 22243888350 24715431500 25132967400 29658517800 30745996786 31416209250 37073147250 37699451100 41888279000 44487776700 46118995179 47124313875 49430863000 55609720875 61491993572 62832418500 74146294500 75398902200 76864991965 88975553400 92237990358 94248627750 111219441750 122983987144 125664837000 138356985537 148292589000 153729983930 184475980716 188497255500 222438883500 230594975895 276713971074 307459967860 368951961432 376994511000 384324959825 444877767000 461189951790 553427942148 614919935720 691784927685 768649919650 922379903580 1106855884296 1152974879475 1383569855370 1537299839300 1844759807160 1921624799125 2305949758950 2767139710740 3074599678600 3458924638425 3843249598250 4611899517900 5534279421480 5764874397375 6917849276850 7686499196500 9223799035800 11529748794750 13835698553700 15372998393000 17294623192125 23059497589500 27671397107400 34589246384250 46118995179000 69178492768500 138356985537000
- Sum of all divisors σ(n): 470432129356800
- Sum of proper divisors (its aliquot sum) s(n): 332075143819800
- 138356985537000 is an abundant number, because the sum of its proper divisors (332075143819800) is greater than itself. Its abundance is 193718158282800
Bases of 138356985537000
- Binary: 111110111010101101111101111100110100001111010002
- Hexadecimal: 0x7DD5BEF9A1E8
- Base-36: 1D1KBKX0Q0
Squares and roots of 138356985537000
- 138356985537000 squared (1383569855370002) is 19142655446885627178369000000
- 138356985537000 cubed (1383569855370003) is 2648520102804528991210773852249153000000000
-
The
square root of 138356985537000 is 11762524.6242887841 -
The
cube root of 138356985537000 is 51721.0139633667
Scales and comparisons
How big is 138356985537000?- 138,356,985,537,000 seconds is equal to 4,399,324 years, 9 weeks, 6 hours, 30 minutes.
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To count from 1 to 138,356,985,537,000 would take you about ten million, nine hundred ninety-eight thousand, three hundred ten 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 138356985537000 cubic inches would be around 4310.1 feet tall.
Recreational maths with 138356985537000
- 138356985537000 backwards is 000735589653831
- The number of decimal digits it has is: 15
- The sum of 138356985537000's digits is 63
- More coming soon!
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