137006084966800

Names of 137006084966800

• Cardinal: 137006084966800 can be written as One hundred thirty-seven trillion, six billion, eighty-four million, nine hundred sixty-six thousand, eight hundred.

Scientific notation

• Scientific notation: 1.370060849668 × 10¹⁴

Factors of 137006084966800

• Number of distinct prime factors ω(n): 7
• Total number of prime factors Ω(n): 11
• Sum of prime factors: 178868

Divisors of 137006084966800

• Number of divisors d(n): 480
• Complete list of divisors:
  1 2 4 5 7 8 10 14 16 19 20 25 28 35 38 40 47 50 56 70 76 80 94 95 100 112 133 140 152 175 188 190 200 235 266 280 304 307 329 350 376 380 400 470 475 532 560 614 658 665 700 752 760 893 940 950 1064 1175 1228 1316 1330 1400 1520 1535 1645 1786 1880 1900 2128 2149 2350 2456 2632 2660 2800 3070 3290 3325 3572 3760 3800 4298 4465 4700 4912 5264 5320 5833 6140 6251 6580 6650 7144 7600 7675 8225 8596 8930 9400 10640 10745 11666 12280 12502 13160 13300 14288 14429 15350 16450 17192 17860 18800 21490 22325 23332 24560 25004 26320 26600 28858 29165 30700 31255 32900 34384 35720 40831 42980 44650 46664 50008 53200 53725 57716 58330 61400 62510 65800 71440 72145 81662 85960 89300 93328 100016 101003 107450 115432 116660 122800 125020 131600 144290 145825 156275 163324 171920 178481 178600 202006 204155 214900 230864 233320 250040 274151 288580 291650 312550 326648 356962 357200 360725 404012 408310 429800 466640 500080 505015 548302 577160 583300 625100 653296 713924 721450 808024 816620 859600 892405 1010030 1020775 1096604 1154320 1166600 1249367 1250200 1370755 1427848 1442900 1616048 1633240 1784810 1919057 2020060 2041550 2193208 2333200 2498734 2500400 2525075 2741510 2855696 2885800 3266480 3391139 3569620 3838114 4040120 4083100 4386416 4462025 4997468 5050150 5483020 5771600 6246835 6782278 6853775 7139240 7676228 8080240 8166200 8388607 8924050 9595285 9994936 10100300 10966040 12493670 13564556 13707550 14278480 15352456 16332400 16777214 16955695 17848100 19190570 19989872 20200600 21932080 23737973 24987340 27129112 27415100 30704912 31234175 33554428 33911390 35696200 38381140 40401200 41943035 47475946 47976425 49974680 54258224 54793667 54830200 58720249 62468350 67108856 67822780 71392400 76762280 83886070 84778475 94951892 95952850 99949360 109587334 109660400 117440498 118689865 124936700 134217712 135645560 153524560 159383533 167772140 169556950 189903784 191905700 209715175 219174668 234880996 237379730 249873400 271291120 273968335 293601245 318767066 335544280 339113900 379807568 383555669 383811400 419430350 438349336 469761992 474759460 499746800 547936670 587202490 593449325 637534132 671088560 678227800 767111338 767622800 796917665 838860700 876698672 939523984 949518920 1041079673 1095873340 1115684731 1174404980 1186898650 1275068264 1356455600 1369841675 1468006225 1534222676 1593835330 1677721400 1899037840 1917778345 2082159346 2191746680 2231369462 2348809960 2373797300 2550136528 2575302349 2739683350 2936012450 3068445352 3187670660 3355442800 3835556690 3984588325 4164318692 4383493360 4462738924 4697619920 4747594600 5150604698 5205398365 5479366700 5578423655 5872024900 6136890704 6375341320 7287557711 7671113380 7969176650 8328637384 8925477848 9495189200 9588891725 10301209396 10410796730 10958733400 11156847310 11744049800 12750682640 12876511745 14575115422 15342226760 15938353300 16657274768 17850955696 18027116443 19177783450 20602418792 20821593460 21917466800 22313694620 23488099600 25753023490 26026991825 27892118275 29150230844 30684453520 31876706600 36054232886 36437788555 38355566900 41204837584 41643186920 44627389240 48930744631 51506046980 52053983650 55784236550 58300461688 63753413200 64382558725 72108465772 72875577110 76711133800 83286373840 89254778480 90135582215 97861489262 103012093960 104107967300 111568473100 116600923376 128765117450 144216931544 145751154220 153422267600 180271164430 182188942775 195722978524 206024187920 208215934600 223136946200 244653723155 257530234900 288433863088 291502308440 342515212417 360542328860 364377885550 391445957048 416431869200 446273892400 450677911075 489307446310 515060469800 583004616880 685030424834 721084657720 728755771100 782891914096 901355822150 978614892620 1030120939600 1223268615775 1370060849668 1442169315440 1457511542200 1712576062085 1802711644300 1957229785240 2446537231550 2740121699336 2915023084400 3425152124170 3605423288600 3914459570480 4893074463100 5480243398672 6850304248340 7210846577200 8562880310425 9786148926200 13700608496680 17125760620850 19572297852400 27401216993360 34251521241700 68503042483400 137006084966800
• Sum of all divisors σ(n): 405723112058880
• Sum of proper divisors (its aliquot sum) s(n): 268717027092080
• 137006084966800 is an abundant number, because the sum of its proper divisors (268717027092080) is greater than itself. Its abundance is 131710942125280

Bases of 137006084966800

• Binary: 11111001001101100110111000001101100100110010000₂
• Hexadecimal: 0x7C9B3706C990
• Base-36: 1CKBQ5LHN4

Squares and roots of 137006084966800

• 137006084966800 squared (137006084966800²) is 18770667317930020957102240000
• 137006084966800 cubed (137006084966800³) is 2571695641443856320345254151354605632000000
• The square root of 137006084966800 is 11704959.8447324885
• The cube root of 137006084966800 is 51552.1305754749

Scales and comparisons

• 137,006,084,966,800 seconds is equal to 4,356,369 years, 37 weeks, 1 day, 6 minutes, 40 seconds.
• To count from 1 to 137,006,084,966,800 would take you about ten million, eight hundred ninety thousand, nine hundred twenty-four 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 137006084966800 cubic inches would be around 4296 feet tall.

Recreational maths with 137006084966800

• 137006084966800 backwards is 008669480600731
• The number of decimal digits it has is: 15
• The sum of 137006084966800's digits is 58
• More coming soon!