137629506480375
137,629,506,480,375 is an odd composite number composed of seven prime numbers multiplied together.
What does the number 137629506480375 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 384 divisors.
137629506480375 is an odd composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of three hundred eighty-four divisors.
Prime factorization of 137629506480375:
3 × 53 × 72 × 13 × 17 × 241 × 140629
(3 × 5 × 5 × 5 × 7 × 7 × 13 × 17 × 241 × 140629)See below for interesting mathematical facts about the number 137629506480375 from the Numbermatics database.
Names of 137629506480375
- Cardinal: 137629506480375 can be written as One hundred thirty-seven trillion, six hundred twenty-nine billion, five hundred six million, four hundred eighty thousand, three hundred seventy-five.
Scientific notation
- Scientific notation: 1.37629506480375 × 1014
Factors of 137629506480375
Divisors of 137629506480375
- Number of divisors d(n): 384
-
Complete list of divisors:
1 3 5 7 13 15 17 21 25 35 39 49 51 65 75 85 91 105 119 125 147 175 195 221 241 245 255 273 325 357 375 425 455 525 595 637 663 723 735 833 875 975 1105 1205 1225 1275 1365 1547 1625 1687 1785 1911 2125 2275 2499 2625 2975 3133 3185 3315 3615 3675 4097 4165 4641 4875 5061 5525 6025 6125 6375 6825 7735 8435 8925 9399 9555 10829 11375 11809 12291 12495 14875 15665 15925 16575 18075 18375 20485 20825 21931 23205 25305 27625 28679 30125 32487 34125 35427 38675 42175 44625 46995 47775 53261 54145 59045 61455 62475 65793 78325 79625 82875 86037 90375 102425 104125 109655 116025 126525 140629 143395 153517 159783 162435 177135 193375 200753 210875 234975 238875 266305 270725 295225 307275 312375 328965 372827 391625 421887 430185 460551 512125 548275 580125 602259 632625 703145 716975 767585 798915 812175 885675 984403 1003765 1118481 1174875 1331525 1353625 1476125 1536375 1644825 1828177 1864135 2109435 2150925 2302755 2390693 2609789 2741375 2953209 3011295 3515725 3584875 3837925 3994575 4060875 4428375 4922015 5018825 5484531 5592405 6657625 6890821 7172079 7829367 8224125 9140885 9320675 10547175 10754625 11513775 11953465 12797239 13048945 14766045 15056475 16734851 17578625 19189625 19972875 20672463 24610075 25094125 27422655 27962025 31079009 33891589 34454105 35860395 38391717 39146835 45704425 46603375 50204553 52735875 57568875 59767325 63986195 65244725 73830225 75282375 83674255 89580673 93237027 101674767 103362315 117143957 123050375 137113275 139810125 155395045 169457945 172270525 179301975 191958585 195734175 217553063 228522125 237241123 251022765 268742019 298836625 319930975 326223625 351431871 369151125 418371275 440590657 447903365 466185135 508373835 516811575 576157013 585719785 652659189 685566375 711723369 776975225 847289725 861352625 896509875 959792925 978670875 1087765315 1186205615 1255113825 1321771971 1343710095 1522871441 1599654875 1660687861 1728471039 1757159355 2091856375 2202953285 2239516825 2330925675 2541869175 2584057875 2880785065 2928598925 3084134599 3263295945 3558616845 3884876125 4033099091 4236448625 4568614323 4798964625 4982063583 5438826575 5931028075 6275569125 6608859855 6718550475 7490041169 7614357205 8303439305 8642355195 8785796775 9252403797 11014766425 11197584125 11654628375 12099297273 12709345875 14403925325 14642994625 15420672995 16316479725 17793084225 20165495455 21588942193 22470123507 22843071615 24910317915 27194132875 28231693637 29655140375 33044299275 33592752375 37450205845 38071786025 41517196525 43211775975 43928983875 46262018985 52430288183 55073832125 60496486365 64766826579 72019626625 77103364975 81582398625 84695080911 88965421125 100827477275 107944710965 112350617535 114215358075 124551589575 141158468185 157290864549 165221496375 187251029225 190358930125 207585982625 216058879875 231310094925 262151440915 302482431825 323834132895 367012017281 385516824875 423475404555 504137386375 539723554825 561753087675 571076790375 622757947875 705792340925 786454322745 936255146125 1101036051843 1156550474625 1310757204575 1512412159125 1619170664475 1835060086405 2117377022775 2698617774125 2808765438375 3528961704625 3932271613725 5505180259215 6553786022875 8095853322375 9175300432025 10586885113875 19661358068625 27525901296075 45876502160125 137629506480375
- Sum of all divisors σ(n): 305037567394560
- Sum of proper divisors (its aliquot sum) s(n): 167408060914185
- 137629506480375 is an abundant number, because the sum of its proper divisors (167408060914185) is greater than itself. Its abundance is 29778554433810
Bases of 137629506480375
- Binary: 111110100101100010111011101100000101000111101112
- Hexadecimal: 0x7D2C5DD828F7
- Base-36: 1CSA4EO453
Squares and roots of 137629506480375
- 137629506480375 squared (1376295064803752) is 18941881054031584120260140625
- 137629506480375 cubed (1376295064803753) is 2606961741276332342199269967479246302734375
-
The
square root of 137629506480375 is 11731560.2747620489 -
The
cube root of 137629506480375 is 51630.2051685465
Scales and comparisons
How big is 137629506480375?- 137,629,506,480,375 seconds is equal to 4,376,192 years, 30 weeks, 4 days, 18 hours, 46 minutes, 15 seconds.
-
To count from 1 to 137,629,506,480,375 would take you about ten million, nine hundred forty thousand, four hundred eighty-one 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 137629506480375 cubic inches would be around 4302.5 feet tall.
Recreational maths with 137629506480375
- 137629506480375 backwards is 573084605926731
- The number of decimal digits it has is: 15
- The sum of 137629506480375's digits is 66
- More coming soon!
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