138621598039773167760
138,621,598,039,773,167,760 is an even composite number composed of seven prime numbers multiplied together.
What does the number 138621598039773167760 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 480 divisors.
138621598039773167760 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of four hundred eighty divisors.
Prime factorization of 138621598039773167760:
24 × 32 × 5 × 7 × 19 × 448793 × 3225527057
(2 × 2 × 2 × 2 × 3 × 3 × 5 × 7 × 19 × 448793 × 3225527057)See below for interesting mathematical facts about the number 138621598039773167760 from the Numbermatics database.
Names of 138621598039773167760
- Cardinal: 138621598039773167760 can be written as One hundred thirty-eight quintillion, six hundred twenty-one quadrillion, five hundred ninety-eight trillion, thirty-nine billion, seven hundred seventy-three million, one hundred sixty-seven thousand, seven hundred sixty.
Scientific notation
- Scientific notation: 1.3862159803977316776 × 1020
Factors of 138621598039773167760
- Number of distinct prime factors ω(n): 7
- Total number of prime factors Ω(n): 11
- Sum of prime factors: 3225975886
Divisors of 138621598039773167760
- Number of divisors d(n): 480
-
Complete list of divisors:
1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 19 20 21 24 28 30 35 36 38 40 42 45 48 56 57 60 63 70 72 76 80 84 90 95 105 112 114 120 126 133 140 144 152 168 171 180 190 210 228 240 252 266 280 285 304 315 336 342 360 380 399 420 456 504 532 560 570 630 665 684 720 760 798 840 855 912 1008 1064 1140 1197 1260 1330 1368 1520 1596 1680 1710 1995 2128 2280 2394 2520 2660 2736 3192 3420 3990 4560 4788 5040 5320 5985 6384 6840 7980 9576 10640 11970 13680 15960 19152 23940 31920 47880 95760 448793 897586 1346379 1795172 2243965 2692758 3141551 3590344 4039137 4487930 5385516 6283102 6731895 7180688 8078274 8527067 8975860 9424653 10771032 12566204 13463790 15707755 16156548 17054134 17951720 18849306 20195685 21542064 25132408 25581201 26927580 28273959 31415510 32313096 34108268 35903440 37698612 40391370 42635335 47123265 50264816 51162402 53855160 56547918 59689469 62831020 64626192 68216536 75397224 76743603 80782740 85270670 94246530 102324804 107710320 113095836 119378938 125662040 127906005 136433072 141369795 150794448 153487206 161565480 170541340 179068407 188493060 204649608 226191672 238757876 251324080 255812010 282739590 298447345 306974412 323130960 341082680 358136814 376986120 383718015 409299216 452383344 477515752 511624020 537205221 565479180 596894690 613948824 682165360 716273628 753972240 767436030 895342035 955031504 1023248040 1074410442 1130958360 1193789380 1227897648 1432547256 1534872060 1790684070 2046496080 2148820884 2261916720 2387578760 2686026105 2865094512 3069744120 3225527057 3581368140 4297641768 4775157520 5372052210 6139488240 6451054114 7162736280 8595283536 9676581171 10744104420 12902108228 14325472560 16127635285 19353162342 21488208840 22578689399 25804216456 29029743513 32255270570 38706324684 42976417680 45157378798 48382905855 51608432912 58059487026 61285014083 64510541140 67736068197 77412649368 90314757596 96765811710 112893446995 116118974052 122570028166 129021082280 135472136394 145148717565 154825298736 180629515192 183855042249 193531623420 203208204591 225786893990 232237948104 245140056332 258042164560 270944272788 290297435130 306425070415 338680340985 361259030384 367710084498 387063246840 406416409182 428995098581 451573787980 464475896208 490280112664 541888545576 551565126747 580594870260 612850140830 677360681970 735420168996 774126493680 812832818364 857990197162 903147575960 919275211245 980560225328 1016041022955 1083777091152 1103130253494 1161189740520 1225700281660 1286985295743 1354721363940 1470840337992 1625665636728 1715980394324 1806295151920 1838550422490 2032082045910 2144975492905 2206260506988 2322379481040 2451400563320 2573970591486 2709442727880 2757825633735 2941680675984 3251331273456 3431960788648 3677100844980 3860955887229 4064164091820 4289950985810 4412521013976 4902801126640 5147941182972 5418885455760 5515651267470 6434926478715 6863921577296 7354201689960 7721911774458 8128328183640 8579901971620 8825042027952 10295882365944 11031302534940 12869852957430 14708403379920 15443823548916 16256656367280 17159803943240 19304779436145 20591764731888 22062605069880 25739705914860 30887647097832 34319607886480 38609558872290 44125210139760 51479411829720 61775294195664 77219117744580 102958823659440 154438235489160 308876470978320 1447593964492201 2895187928984402 4342781893476603 5790375857968804 7237969822461005 8685563786953206 10133157751445407 11580751715937608 13028345680429809 14475939644922010 17371127573906412 20266315502890814 21713909467383015 23161503431875216 26056691360859618 27504285325351819 28951879289844020 30399473254336221 34742255147812824 40532631005781628 43427818934766030 50665788757227035 52113382721719236 55008570650703638 57903758579688040 60798946508672442 65141728402149045 69484510295625648 81065262011563256 82512855976055457 86855637869532060 91198419763008663 101331577514454070 104226765443438472 110017141301407276 115807517159376080 121597893017344884 130283456804298090 137521426626759095 151997366271681105 162130524023126512 165025711952110914 173711275739064120 182396839526017326 192529997277462733 202663155028908140 208453530886876944 220034282602814552 243195786034689768 247538567928166371 260566913608596180 275042853253518190 303994732543362210 330051423904221828 347422551478128240 364793679052034652 385059994554925466 405326310057816280 412564279880277285 440068565205629104 455992098815043315 486391572069379536 495077135856332742 521133827217192360 550085706507036380 577589991832388199 607989465086724420 660102847808443656 729587358104069304 770119989109850932 810652620115632560 825128559760554570 911984197630086630 962649986387313665 990154271712665484 1042267654434384720 1100171413014072760 1155179983664776398 1215978930173448840 1237692839640831855 1320205695616887312 1459174716208138608 1540239978219701864 1650257119521109140 1732769975497164597 1823968395260173260 1925299972774627330 1980308543425330968 2200342826028145520 2310359967329552796 2431957860346897680 2475385679281663710 2887949959161940995 3080479956439403728 3300514239042218280 3465539950994329194 3647936790520346520 3850599945549254660 3960617086850661936 4620719934659105592 4950771358563327420 5775899918323881990 6601028478084436560 6931079901988658388 7295873581040693040 7701199891098509320 8663849877485822985 9241439869318211184 9901542717126654840 11551799836647763980 13862159803977316776 15402399782197018640 17327699754971645970 19803085434253309680 23103599673295527960 27724319607954633552 34655399509943291940 46207199346591055920 69310799019886583880 138621598039773167760
- Sum of all divisors σ(n): 560046401048279957760
- Sum of proper divisors (its aliquot sum) s(n): 421424803008506790000
- 138621598039773167760 is an abundant number, because the sum of its proper divisors (421424803008506790000) is greater than itself. Its abundance is 282803204968733622240
Bases of 138621598039773167760
- Binary: 11110000011110000101101100011110111111011011010101001000000100100002
- Hexadecimal: 0x783C2D8F7EDAA4090
- Base-36: T96JREGZMPZ80
Squares and roots of 138621598039773167760
- 138621598039773167760 squared (1386215980397731677602) is 19215947443100444146408465833665103417600
- 138621598039773167760 cubed (1386215980397731677603) is 2663745342410876743406664514156672745669563738685954136576000
-
The
square root of 138621598039773167760 is 11773767368.1695090539 -
The
cube root of 138621598039773167760 is 5175396.5705694787
Scales and comparisons
How big is 138621598039773167760?- 138,621,598,039,773,167,760 seconds is equal to 293,274,701,009 years, 3 weeks, 3 days, 15 hours, 30 minutes, 7 seconds.
-
To count from 1 to 138,621,598,039,773,167,760 would take you about two hundred ninety-three billion, two hundred seventy-four million, seven hundred one thousand and nine 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 138621598039773167760 cubic inches would be around 431283 feet tall.
Recreational maths with 138621598039773167760
- 138621598039773167760 backwards is 067761377930895126831
- The number of decimal digits it has is: 21
- The sum of 138621598039773167760's digits is 99
- More coming soon!
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The information we have on file for 138621598039773167760 includes mathematical data and numerical statistics calculated using standard algorithms and methods. We are adding more all the time. If there are any features you would like to see, please contact us. Information provided for educational use, intellectual curiosity and fun!
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