137040975759680
137,040,975,759,680 is an even composite number composed of six prime numbers multiplied together.
What does the number 137040975759680 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 224 divisors.
137040975759680 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of two hundred twenty-four divisors.
Prime factorization of 137040975759680:
26 × 5 × 19 × 349 × 2399 × 26921
(2 × 2 × 2 × 2 × 2 × 2 × 5 × 19 × 349 × 2399 × 26921)See below for interesting mathematical facts about the number 137040975759680 from the Numbermatics database.
Names of 137040975759680
- Cardinal: 137040975759680 can be written as One hundred thirty-seven trillion, forty billion, nine hundred seventy-five million, seven hundred fifty-nine thousand, six hundred eighty.
Scientific notation
- Scientific notation: 1.3704097575968 × 1014
Factors of 137040975759680
Divisors of 137040975759680
- Number of divisors d(n): 224
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Complete list of divisors:
1 2 4 5 8 10 16 19 20 32 38 40 64 76 80 95 152 160 190 304 320 349 380 608 698 760 1216 1396 1520 1745 2399 2792 3040 3490 4798 5584 6080 6631 6980 9596 11168 11995 13262 13960 19192 22336 23990 26524 26921 27920 33155 38384 45581 47980 53048 53842 55840 66310 76768 91162 95960 106096 107684 111680 132620 134605 153536 182324 191920 212192 215368 227905 265240 269210 364648 383840 424384 430736 455810 511499 530480 538420 729296 767680 837251 861472 911620 1022998 1060960 1076840 1458592 1674502 1722944 1823240 2045996 2121920 2153680 2557495 2917184 3349004 3646480 4091992 4186255 4307360 5114990 6698008 7292960 8183984 8372510 8614720 9395429 10229980 13396016 14585920 15907769 16367968 16745020 18790858 20459960 26792032 31815538 32735936 33490040 37581716 40919920 46977145 53584064 63631076 64583479 66980080 75163432 79538845 81839840 93954290 127262152 129166958 133960160 150326864 159077690 163679680 178513151 187908580 254524304 258333916 267920320 300653728 318155380 322917395 357026302 375817160 509048608 516667832 601307456 636310760 645834790 714052604 751634320 892565755 1018097216 1033335664 1227086101 1272621520 1291669580 1428105208 1503268640 1785131510 2066671328 2454172202 2545243040 2583339160 2856210416 3006537280 3570263020 4133342656 4908344404 5090486080 5166678320 5712420832 6135430505 7140526040 9816688808 10333356640 11424841664 12270861010 14281052080 19633377616 20666713280 22539634171 24541722020 28562104160 39266755232 45079268342 49083444040 57124208320 78533510464 90158536684 98166888080 112698170855 180317073368 196333776160 225396341710 360634146736 392667552320 428253049249 450792683420 721268293472 856506098498 901585366840 1442536586944 1713012196996 1803170733680 2141265246245 3426024393992 3606341467360 4282530492490 6852048787984 7212682934720 8565060984980 13704097575968 17130121969960 27408195151936 34260243939920 68520487879840 137040975759680
- Sum of all divisors σ(n): 344644675200000
- Sum of proper divisors (its aliquot sum) s(n): 207603699440320
- 137040975759680 is an abundant number, because the sum of its proper divisors (207603699440320) is greater than itself. Its abundance is 70562723680640
Bases of 137040975759680
- Binary: 111110010100011010101101010111000001001010000002
- Hexadecimal: 0x7CA356AE0940
- Base-36: 1CKRR6O9Q8
Squares and roots of 137040975759680
- 137040975759680 squared (1370409757596802) is 18780229037165201353113702400
- 137040975759680 cubed (1370409757596803) is 2573660912243394824455681226689257439232000
-
The
square root of 137040975759680 is 11706450.1775593783 -
The
cube root of 137040975759680 is 51556.5063958229
Scales and comparisons
How big is 137040975759680?- 137,040,975,759,680 seconds is equal to 4,357,479 years, 6 weeks, 6 days, 15 hours, 1 minute, 20 seconds.
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To count from 1 to 137,040,975,759,680 would take you about ten million, eight hundred ninety-three thousand, six hundred ninety-seven 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 137040975759680 cubic inches would be around 4296.4 feet tall.
Recreational maths with 137040975759680
- 137040975759680 backwards is 086957579040731
- The number of decimal digits it has is: 15
- The sum of 137040975759680's digits is 71
- More coming soon!
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