137875781906742789
137,875,781,906,742,789 is an odd composite number composed of five prime numbers multiplied together.
What does the number 137875781906742789 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 288 divisors.
137875781906742789 is an odd composite number. It is composed of five distinct prime numbers multiplied together. It has a total of two hundred eighty-eight divisors.
Prime factorization of 137875781906742789:
32 × 7 × 132 × 233 × 10213
(3 × 3 × 7 × 13 × 13 × 23 × 23 × 23 × 1021 × 1021 × 1021)See below for interesting mathematical facts about the number 137875781906742789 from the Numbermatics database.
Names of 137875781906742789
- Cardinal: 137875781906742789 can be written as One hundred thirty-seven quadrillion, eight hundred seventy-five trillion, seven hundred eighty-one billion, nine hundred six million, seven hundred forty-two thousand, seven hundred eighty-nine.
Scientific notation
- Scientific notation: 1.37875781906742789 × 1017
Factors of 137875781906742789
Divisors of 137875781906742789
- Number of divisors d(n): 288
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Complete list of divisors:
1 3 7 9 13 21 23 39 63 69 91 117 161 169 207 273 299 483 507 529 819 897 1021 1183 1449 1521 1587 2093 2691 3063 3549 3703 3887 4761 6279 6877 7147 9189 10647 11109 11661 12167 13273 18837 20631 21441 23483 27209 33327 34983 36501 39819 48139 61893 64323 70449 81627 85169 89401 92911 109503 119457 144417 158171 164381 172549 211347 244881 255507 268203 278733 305279 433251 474513 493143 517647 540109 625807 766521 804609 836199 915837 1042441 1107197 1207843 1423539 1479429 1552941 1620327 1877421 2056223 2136953 2747511 3127323 3321591 3623529 3780763 3968627 4860981 5632263 6168669 6410859 7021417 7297087 9381969 9964773 10870587 11342289 11905881 12422507 13551733 14393561 18506007 19232577 21064251 21891261 23976143 27780389 34026867 35717643 37267521 40655199 43180683 49149919 63192753 65673783 71928429 83341167 86957549 91278421 94862131 111802563 121965597 129542049 147449757 161492591 167833001 176172529 215785287 250023501 260872647 273835263 284586393 311689859 442349271 484477773 503499003 528517587 551451289 638948947 782617941 821505789 853759179 935069577 1064332261 1130448137 1233207703 1453433319 1510497009 1585552761 1654353867 1916846841 2099403683 2181829013 2805208731 3192996783 3391344411 3699623109 3860159023 4051968167 4963061601 5750540523 6298211049 6545487039 7168866757 7450325827 9578990349 10174033233 11098869327 11580477069 12155904501 12683379647 13836319393 14695825781 18894633147 19636461117 21506600271 22350977481 24479642003 28363777169 34741431207 36467713503 38050138941 41508958179 44087477343 50182067299 64519800813 67052932443 73438926009 85091331507 88783657529 93195267841 96854235751 114150416823 124526874537 132262432029 150546201897 164883935411 171357494021 179872152109 220316778027 255273994521 266350972587 279585803523 290562707253 318235346039 451638605691 494651806233 514072482063 539616456327 563031766069 652366874887 799052917761 838757410569 871688121759 954706038117 1154187547877 1259105064763 1483955418699 1542217446189 1618849368981 1689095298207 1957100624661 2143491160343 2227647422273 2864118114351 3462562643631 3777315194289 3941222362483 4137059498507 5067285894621 5871301873983 6430473481029 6682942266819 7319412958897 10387687930893 11331945582867 11823667087449 12411178495521 12949730619587 15004438122401 19291420443087 20048826800457 21958238876691 28959416489549 35471001262347 37233535486563 38849191858761 45013314367203 51235890712279 65874716630073 86878249468647 90648114337109 95152368465661 116547575576283 135039943101609 153707672136837 168346498054631 260634748405941 271944343011327 285457105396983 461123016410511 505039494163893 666066579259627 815833029033981 856371316190949 1178425486382417 1515118482491679 1998199737778881 2188504474710203 3535276459147251 5994599213336643 6565513424130609 10605829377441753 15319531322971421 19696540272391827 45958593968914263 137875781906742789
- Sum of all divisors σ(n): 257913655511016960
- Sum of proper divisors (its aliquot sum) s(n): 120037873604274171
- 137875781906742789 is a deficient number, because the sum of its proper divisors (120037873604274171) is less than itself. Its deficiency is 17837908302468618
Bases of 137875781906742789
- Binary: 1111010011101010101001011000010111010111000111110000001012
- Hexadecimal: 0x1E9D54B0BAE3E05
- Base-36: 11PKVVSS2TJ9
Squares and roots of 137875781906742789
- 137875781906742789 squared (1378757819067427892) is 19009731236395702221168903403498521
- 137875781906742789 cubed (1378757819067427893) is 2620981558055089788216954629307103027379742288915069
-
The
square root of 137875781906742789 is 371316282.8462317635 -
The
cube root of 137875781906742789 is 516609.8266286719
Scales and comparisons
How big is 137875781906742789?- 137,875,781,906,742,789 seconds is equal to 4,384,023,386 years, 43 weeks, 4 days, 12 hours, 33 minutes, 9 seconds.
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To count from 1 to 137,875,781,906,742,789 would take you about thirteen billion, one hundred fifty-two million, seventy thousand, one hundred sixty 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 137875781906742789 cubic inches would be around 43050.8 feet tall.
Recreational maths with 137875781906742789
- 137875781906742789 backwards is 987247609187578731
- The number of decimal digits it has is: 18
- The sum of 137875781906742789's digits is 99
- More coming soon!
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