137968349143040000
137,968,349,143,040,000 is an even composite number composed of six prime numbers multiplied together.
What does the number 137968349143040000 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 4080 divisors.
137968349143040000 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of four thousand and eighty divisors.
Prime factorization of 137968349143040000:
216 × 54 × 133 × 192 × 31 × 137
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 5 × 5 × 13 × 13 × 13 × 19 × 19 × 31 × 137)See below for interesting mathematical facts about the number 137968349143040000 from the Numbermatics database.
Names of 137968349143040000
- Cardinal: 137968349143040000 can be written as One hundred thirty-seven quadrillion, nine hundred sixty-eight trillion, three hundred forty-nine billion, one hundred forty-three million, forty thousand.
Scientific notation
- Scientific notation: 1.3796834914304 × 1017
Factors of 137968349143040000
Divisors of 137968349143040000
- Number of divisors d(n): 4080
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Complete list of divisors:
1 2 4 5 8 10 13 16 19 20 25 26 31 32 38 40 50 52 62 64 65 76 80 95 100 104 124 125 128 130 137 152 155 160 169 190 200 208 247 248 250 256 260 274 304 310 320 325 338 361 380 400 403 416 475 494 496 500 512 520 548 589 608 620 625 640 650 676 685 722 760 775 800 806 832 845 950 988 992 1000 1024 1040 1096 1178 1216 1235 1240 1250 1280 1300 1352 1370 1444 1520 1550 1600 1612 1625 1664 1690 1781 1805 1900 1976 1984 2000 2015 2048 2080 2192 2197 2356 2375 2432 2470 2480 2500 2560 2600 2603 2704 2740 2888 2945 3040 3100 3200 3211 3224 3250 3328 3380 3425 3562 3610 3800 3875 3952 3968 4000 4030 4096 4160 4225 4247 4384 4394 4693 4712 4750 4864 4940 4960 5000 5120 5200 5206 5239 5408 5480 5776 5890 6080 6175 6200 6400 6422 6448 6500 6656 6760 6850 7124 7220 7600 7657 7750 7904 7936 8000 8060 8125 8192 8320 8450 8494 8768 8788 8905 9025 9386 9424 9500 9728 9880 9920 10000 10075 10240 10400 10412 10478 10816 10960 10985 11191 11552 11780 11875 12160 12350 12400 12800 12844 12896 13000 13015 13312 13520 13700 14248 14440 14725 15200 15314 15500 15808 15872 16000 16055 16120 16250 16384 16640 16900 16988 17125 17536 17576 17810 18050 18772 18848 19000 19375 19456 19760 19840 20000 20150 20480 20800 20824 20956 21125 21235 21632 21920 21970 22382 23104 23153 23465 23560 23750 24320 24700 24800 25600 25688 25792 26000 26030 26195 26624 27040 27400 28496 28880 29450 30400 30628 30875 31000 31616 31744 32000 32110 32240 32500 32768 33280 33800 33839 33976 34250 35072 35152 35620 36100 37544 37696 38000 38285 38750 38912 39520 39680 40000 40300 40960 41600 41648 41743 41912 42250 42470 43264 43840 43940 44525 44764 45125 46208 46306 46930 47120 47500 48640 49400 49457 49600 50375 51200 51376 51584 52000 52060 52390 53248 54080 54800 54925 55211 55955 56992 57760 58900 60800 61009 61256 61750 62000 63232 63488 64000 64220 64480 65000 65075 65536 66560 67600 67678 67952 68107 68500 70144 70304 71240 72200 73625 75088 75392 76000 76570 77500 77824 79040 79360 80000 80275 80600 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191091896320000 201413648384000 204095191040000 212258998681600 215575545536000 220749358628864 222529595392000 226921626880000 234241679360000 251767060480000 265323748352000 269469431920000 275936698286080 278161994240000 279288156160000 290459682406400 331654685440000 342353223680000 344920872857600 363074603008000 382183792640000 408190382080000 424517997363200 431151091072000 445059190784000 453843253760000 503534120960000 530647496704000 538938863840000 551873396572160 556323988480000 558576312320000 663309370880000 689841745715200 726149206016000 816380764160000 862302182144000 890118381568000 907686507520000 1007068241920000 1061294993408000 1077877727680000 1103746793144320 1112647976960000 1326618741760000 1379683491430400 1452298412032000 1724604364288000 1815373015040000 2122589986816000 2155755455360000 2225295953920000 2653237483520000 2759366982860800 3449208728576000 3630746030080000 4311510910720000 4450591907840000 5306474967040000 5518733965721600 6898417457152000 7261492060160000 8623021821440000 10612949934080000 13796834914304000 17246043642880000 27593669828608000 34492087285760000 68984174571520000 137968349143040000
- Sum of all divisors σ(n): 409910123533236480
- Sum of proper divisors (its aliquot sum) s(n): 271941774390196480
- 137968349143040000 is an abundant number, because the sum of its proper divisors (271941774390196480) is greater than itself. Its abundance is 133973425247156480
Bases of 137968349143040000
- Binary: 1111010100010100101111011100010001110101100000000000000002
- Hexadecimal: 0x1EA297B88EB0000
- Base-36: 11QHP4LMJYM8
Squares and roots of 137968349143040000
- 137968349143040000 squared (1379683491430400002) is 19035265365255786302380441600000000
- 137968349143040000 cubed (1379683491430400003) is 2626264137944027156682431970135416766464000000000000
-
The
square root of 137968349143040000 is 371440909.3557681885 -
The
cube root of 137968349143040000 is 516725.4148418401
Scales and comparisons
How big is 137968349143040000?- 137,968,349,143,040,000 seconds is equal to 4,386,966,738 years, 32 weeks, 3 days, 6 hours, 13 minutes, 20 seconds.
-
To count from 1 to 137,968,349,143,040,000 would take you about thirteen billion, one hundred sixty million, nine hundred thousand, two hundred fifteen 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 137968349143040000 cubic inches would be around 43060.5 feet tall.
Recreational maths with 137968349143040000
- 137968349143040000 backwards is 000040341943869731
- 137968349143040000 is a
Harshad number . - The number of decimal digits it has is: 18
- The sum of 137968349143040000's digits is 62
- More coming soon!
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The information we have on file for 137968349143040000 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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