137859686027900640
137,859,686,027,900,640 is an even composite number composed of five prime numbers multiplied together.
What does the number 137859686027900640 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 216 divisors.
137859686027900640 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of two hundred sixteen divisors.
Prime factorization of 137859686027900640:
25 × 32 × 5 × 292 × 113835782491
(2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 29 × 29 × 113835782491)See below for interesting mathematical facts about the number 137859686027900640 from the Numbermatics database.
Names of 137859686027900640
- Cardinal: 137859686027900640 can be written as One hundred thirty-seven quadrillion, eight hundred fifty-nine trillion, six hundred eighty-six billion, twenty-seven million, nine hundred thousand, six hundred forty.
Scientific notation
- Scientific notation: 1.3785968602790064 × 1017
Factors of 137859686027900640
- Number of distinct prime factors ω(n): 5
- Total number of prime factors Ω(n): 11
- Sum of prime factors: 113835782530
Divisors of 137859686027900640
- Number of divisors d(n): 216
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Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 29 30 32 36 40 45 48 58 60 72 80 87 90 96 116 120 144 145 160 174 180 232 240 261 288 290 348 360 435 464 480 522 580 696 720 841 870 928 1044 1160 1305 1392 1440 1682 1740 2088 2320 2523 2610 2784 3364 3480 4176 4205 4640 5046 5220 6728 6960 7569 8352 8410 10092 10440 12615 13456 13920 15138 16820 20184 20880 25230 26912 30276 33640 37845 40368 41760 50460 60552 67280 75690 80736 100920 121104 134560 151380 201840 242208 302760 403680 605520 1211040 113835782491 227671564982 341507347473 455343129964 569178912455 683014694946 910686259928 1024522042419 1138357824910 1366029389892 1707536737365 1821372519856 2049044084838 2276715649820 2732058779784 3301237692239 3415073474730 3642745039712 4098088169676 4553431299640 5122610212095 5464117559568 6602475384478 6830146949460 8196176339352 9106862599280 9903713076717 10245220424190 10928235119136 13204950768956 13660293898920 16392352678704 16506188461195 18213725198560 19807426153434 20490440848380 26409901537912 27320587797840 29711139230151 32784705357408 33012376922390 39614852306868 40980881696760 49518565383585 52819803075824 54641175595680 59422278460302 66024753844780 79229704613736 81961763393520 95735893074931 99037130767170 105639606151648 118844556920604 132049507689560 148555696150755 158459409227472 163923526787040 191471786149862 198074261534340 237689113841208 264099015379120 287207679224793 297111392301510 316918818454944 382943572299724 396148523068680 475378227682416 478679465374655 528198030758240 574415358449586 594222784603020 765887144599448 792297046137360 861623037674379 950756455364832 957358930749310 1148830716899172 1188445569206040 1436038396123965 1531774289198896 1584594092274720 1723246075348758 1914717861498620 2297661433798344 2376891138412080 2872076792247930 3063548578397792 3446492150697516 3829435722997240 4308115188371895 4595322867596688 4753782276824160 5744153584495860 6892984301395032 7658871445994480 8616230376743790 9190645735193376 11488307168991720 13785968602790064 15317742891988960 17232460753487580 22976614337983440 27571937205580128 34464921506975160 45953228675966880 68929843013950320 137859686027900640
- Sum of all divisors σ(n): 487227849629314248
- Sum of proper divisors (its aliquot sum) s(n): 349368163601413608
- 137859686027900640 is an abundant number, because the sum of its proper divisors (349368163601413608) is greater than itself. Its abundance is 211508477573512968
Bases of 137859686027900640
- Binary: 1111010011100011010100111011011101000101000110110111000002
- Hexadecimal: 0x1E9C6A76E8A36E0
- Base-36: 11PF6HGDED40
Squares and roots of 137859686027900640
- 137859686027900640 squared (1378596860279006402) is 19005293031711342939976525712409600
- 137859686027900640 cubed (1378596860279006403) is 2620063730219973619315767445368540411738283782144000
-
The
square root of 137859686027900640 is 371294608.1320070019 -
The
cube root of 137859686027900640 is 516589.7225111225
Scales and comparisons
How big is 137859686027900640?- 137,859,686,027,900,640 seconds is equal to 4,383,511,587 years, 35 weeks, 2 days, 12 hours, 24 minutes.
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To count from 1 to 137,859,686,027,900,640 would take you about thirteen billion, one hundred fifty million, five hundred thirty-four thousand, seven hundred sixty-three 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 137859686027900640 cubic inches would be around 43049.1 feet tall.
Recreational maths with 137859686027900640
- 137859686027900640 backwards is 046009720686958731
- The number of decimal digits it has is: 18
- The sum of 137859686027900640's digits is 81
- More coming soon!
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