131978397698200
131,978,397,698,200 is an even composite number composed of six prime numbers multiplied together.
131978397698200 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of two hundred eighty-eight divisors.
Prime factorization of 131978397698200:
23 × 52 × 19 × 137 × 2932 × 2953
(2 × 2 × 2 × 5 × 5 × 19 × 137 × 293 × 293 × 2953)See below for interesting mathematical facts about the number 131978397698200 from the Numbermatics database.
Names of 131978397698200
- Cardinal: 131978397698200 can be written as One hundred thirty-one trillion, nine hundred seventy-eight billion, three hundred ninety-seven million, six hundred ninety-eight thousand, two hundred.
Scientific notation
- Scientific notation: 1.319783976982 × 1014
Factors of 131978397698200
Divisors of 131978397698200
- Number of divisors d(n): 288
-
Complete list of divisors:
1 2 4 5 8 10 19 20 25 38 40 50 76 95 100 137 152 190 200 274 293 380 475 548 586 685 760 950 1096 1172 1370 1465 1900 2344 2603 2740 2930 2953 3425 3800 5206 5480 5567 5860 5906 6850 7325 10412 11134 11720 11812 13015 13700 14650 14765 20824 22268 23624 26030 27400 27835 29300 29530 40141 44536 52060 55670 56107 58600 59060 65075 73825 80282 85849 104120 111340 112214 118120 130150 139175 147650 160564 171698 200705 222680 224428 260300 278350 280535 295300 321128 343396 401410 404561 429245 448856 520600 556700 561070 590600 686792 762679 802820 809122 858490 865229 1003525 1113400 1122140 1402675 1525358 1605640 1618244 1631131 1716980 1730458 2007050 2022805 2146225 2244280 2805350 3050716 3236488 3262262 3433960 3460916 3813395 4014100 4045610 4292450 4326145 5610700 6101432 6524524 6921832 7626790 7686659 8028200 8091220 8155655 8584900 8652290 10114025 11221400 11761313 13049048 15253580 15373318 16182440 16311310 16439351 17169800 17304580 19066975 20228050 21630725 23522626 30507160 30746636 32622620 32878702 34609160 38133950 38433295 40456100 40778275 43261450 47045252 58806565 61493272 65245240 65757404 76267900 76866590 80912200 81556550 82196755 86522900 94090504 117613130 118536373 131514808 152535800 153733180 163113100 164393510 173045800 192166475 223464947 235226260 237072746 253512097 294032825 307466360 326226200 328787020 384332950 410983775 446929894 470452520 474145492 507024194 588065650 592681865 657574040 768665900 821967550 893859788 948290984 1014048388 1117324735 1176131300 1185363730 1267560485 1537331800 1643935100 1787719576 2028096776 2234649470 2252191087 2352262600 2370727460 2535120970 2963409325 3287870200 4469298940 4504382174 4741454920 4816729843 5070241940 5586623675 5926818650 6337802425 8938597880 9008764348 9633459686 10140483880 11173247350 11260955435 11853637300 12675604850 18017528696 19266919372 22346494700 22521910870 23707274600 24083649215 25351209700 34731157289 38533838744 44692989400 45043821740 48167298430 50702419400 56304777175 69462314578 90087643480 96334596860 112609554350 120418246075 138924629156 173655786445 192669193720 225219108700 240836492150 277849258312 347311572890 450438217400 481672984300 659891988491 694623145780 868278932225 963345968600 1319783976982 1389246291560 1736557864450 2639567953964 3299459942455 3473115728900 5279135907928 6598919884910 6946231457800 13197839769820 16497299712275 26395679539640 32994599424550 65989198849100 131978397698200
- Sum of all divisors σ(n): 326582205994800
- Sum of proper divisors (its aliquot sum) s(n): 194603808296600
- 131978397698200 is an abundant number, because the sum of its proper divisors (194603808296600) is greater than itself. Its abundance is 62625410598400
Bases of 131978397698200
- Binary: 111100000001000100111011000001101001000100110002
- Hexadecimal: 0x78089D834898
- Base-36: 1AS61EEP3S
Squares and roots of 131978397698200
- 131978397698200 squared (1319783976982002) is 17418297458984243058283240000
- 131978397698200 cubed (1319783976982003) is 2298838989267368932953398090459638168000000
-
The
square root of 131978397698200 is 11488185.1350942287 -
The
cube root of 131978397698200 is 50913.6559890839
Scales and comparisons
How big is 131978397698200?- 131,978,397,698,200 seconds is equal to 4,196,504 years, 42 weeks, 1 day, 3 hours, 16 minutes, 40 seconds.
-
To count from 1 to 131,978,397,698,200 would take you about ten million, four hundred ninety-one thousand, two hundred sixty-two 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 131978397698200 cubic inches would be around 4242.8 feet tall.
Recreational maths with 131978397698200
- 131978397698200 backwards is 002896793879131
- The number of decimal digits it has is: 15
- The sum of 131978397698200's digits is 73
- More coming soon!
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