137020379348116080
137,020,379,348,116,080 is an even composite number composed of five prime numbers multiplied together.
What does the number 137020379348116080 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 240 divisors.
137020379348116080 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of two hundred forty divisors.
Prime factorization of 137020379348116080:
24 × 35 × 5 × 173 × 40742042909
(2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 5 × 173 × 40742042909)See below for interesting mathematical facts about the number 137020379348116080 from the Numbermatics database.
Names of 137020379348116080
- Cardinal: 137020379348116080 can be written as One hundred thirty-seven quadrillion, twenty trillion, three hundred seventy-nine billion, three hundred forty-eight million, one hundred sixteen thousand and eighty.
Scientific notation
- Scientific notation: 1.3702037934811608 × 1017
Factors of 137020379348116080
- Number of distinct prime factors ω(n): 5
- Total number of prime factors Ω(n): 12
- Sum of prime factors: 40742043092
Divisors of 137020379348116080
- Number of divisors d(n): 240
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Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 36 40 45 48 54 60 72 80 81 90 108 120 135 144 162 173 180 216 240 243 270 324 346 360 405 432 486 519 540 648 692 720 810 865 972 1038 1080 1215 1296 1384 1557 1620 1730 1944 2076 2160 2430 2595 2768 3114 3240 3460 3888 4152 4671 4860 5190 6228 6480 6920 7785 8304 9342 9720 10380 12456 13840 14013 15570 18684 19440 20760 23355 24912 28026 31140 37368 41520 42039 46710 56052 62280 70065 74736 84078 93420 112104 124560 140130 168156 186840 210195 224208 280260 336312 373680 420390 560520 672624 840780 1121040 1681560 3363120 40742042909 81484085818 122226128727 162968171636 203710214545 244452257454 325936343272 366678386181 407420429090 488904514908 611130643635 651872686544 733356772362 814840858180 977809029816 1100035158543 1222261287270 1466713544724 1629681716360 1833391930905 1955618059632 2200070317086 2444522574540 2933427089448 3259363432720 3300105475629 3666783861810 4400140634172 4889045149080 5500175792715 5866854178896 6600210951258 7048373423257 7333567723620 8800281268344 9778090298160 9900316426887 11000351585430 13200421902516 14096746846514 14667135447240 16500527378145 17600562536688 19800632853774 21145120269771 22000703170860 26400843805032 28193493693028 29334270894480 33001054756290 35241867116285 39601265707548 42290240539542 44001406341720 49501582134435 52801687610064 56386987386056 63435360809313 66002109512580 70483734232570 79202531415096 84580481079084 88002812683440 99003164268870 105725601348855 112773974772112 126870721618626 132004219025160 140967468465140 158405062830192 169160962158168 190306082427939 198006328537740 211451202697710 253741443237252 264008438050320 281934936930280 317176804046565 338321924316336 380612164855878 396012657075480 422902405395420 507482886474504 563869873860560 570918247283817 634353608093130 761224329711756 792025314150960 845804810790840 951530412139695 1014965772949008 1141836494567634 1268707216186260 1522448659423512 1691609621581680 1712754741851451 1903060824279390 2283672989135268 2537414432372520 2854591236419085 3044897318847024 3425509483702902 3806121648558780 4567345978270536 5074828864745040 5709182472838170 6851018967405804 7612243297117560 8563773709257255 9134691956541072 11418364945676340 13702037934811608 15224486594235120 17127547418514510 22836729891352680 27404075869623216 34255094837029020 45673459782705360 68510189674058040 137020379348116080
- Sum of all divisors σ(n): 479961473533083360
- Sum of proper divisors (its aliquot sum) s(n): 342941094184967280
- 137020379348116080 is an abundant number, because the sum of its proper divisors (342941094184967280) is greater than itself. Its abundance is 205920714836851200
Bases of 137020379348116080
- Binary: 1111001101100101101001111000111100000100010100010011100002
- Hexadecimal: 0x1E6CB4F1E08A270
- Base-36: 11H5O5AEIF00
Squares and roots of 137020379348116080
- 137020379348116080 squared (1370203793481160802) is 18774584356701635556373445154566400
- 137020379348116080 cubed (1370203793481160803) is 2572500670658464003738460420087744451968249267712000
-
The
square root of 137020379348116080 is 370162639.0495346573 -
The
cube root of 137020379348116080 is 515539.2339167387
Scales and comparisons
How big is 137020379348116080?- 137,020,379,348,116,080 seconds is equal to 4,356,824,231 years, 21 weeks, 1 day, 19 hours, 48 minutes.
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To count from 1 to 137,020,379,348,116,080 would take you about thirteen billion, seventy million, four hundred seventy-two thousand, six hundred ninety-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 137020379348116080 cubic inches would be around 42961.6 feet tall.
Recreational maths with 137020379348116080
- 137020379348116080 backwards is 080611843973020731
- The number of decimal digits it has is: 18
- The sum of 137020379348116080's digits is 63
- More coming soon!
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