137683768489917111
137,683,768,489,917,111 is an odd composite number composed of six prime numbers multiplied together.
What does the number 137683768489917111 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 1920 divisors.
137683768489917111 is an odd composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one thousand, nine hundred twenty divisors.
Prime factorization of 137683768489917111:
39 × 72 × 113 × 19 × 433 × 71
(3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 7 × 7 × 11 × 11 × 11 × 19 × 43 × 43 × 43 × 71)See below for interesting mathematical facts about the number 137683768489917111 from the Numbermatics database.
Names of 137683768489917111
- Cardinal: 137683768489917111 can be written as One hundred thirty-seven quadrillion, six hundred eighty-three trillion, seven hundred sixty-eight billion, four hundred eighty-nine million, nine hundred seventeen thousand, one hundred eleven.
Scientific notation
- Scientific notation: 1.37683768489917111 × 1017
Factors of 137683768489917111
Divisors of 137683768489917111
- Number of divisors d(n): 1920
-
Complete list of divisors:
1 3 7 9 11 19 21 27 33 43 49 57 63 71 77 81 99 121 129 133 147 171 189 209 213 231 243 297 301 363 387 399 441 473 497 513 539 567 627 639 693 729 781 817 847 891 903 931 1089 1161 1197 1323 1331 1349 1419 1463 1491 1539 1617 1701 1849 1881 1917 2079 2107 2187 2299 2343 2451 2541 2673 2709 2793 3053 3267 3311 3479 3483 3591 3969 3993 4047 4257 4389 4473 4617 4851 5103 5203 5467 5547 5643 5719 5751 5929 6237 6321 6561 6897 7029 7353 7623 8019 8127 8379 8591 8987 9159 9317 9443 9801 9933 10241 10437 10449 10773 11907 11979 12141 12771 12943 13167 13419 13851 14553 14839 15309 15609 16093 16401 16641 16929 17157 17253 17787 18711 18963 19683 20339 20691 21087 21371 22059 22869 23177 24057 24381 25137 25289 25773 26961 27477 27951 28329 29403 29799 30723 31311 31347 32319 33583 35131 35721 35937 36421 36423 38269 38313 38829 39501 40033 40257 41553 43659 44517 45927 46827 48279 49203 49923 50787 51471 51759 53361 56133 56889 57233 58007 60137 61017 62073 62909 63261 64113 65219 66101 66177 68607 69531 72171 73143 75411 75867 77319 79507 80883 82431 83853 84987 88209 89397 90601 92169 93933 94041 94501 96957 98857 100749 103873 105393 107163 107811 109263 109269 112651 114807 114939 116487 118503 120099 120771 124659 130977 131279 133551 137781 140481 142373 144837 147609 149597 149769 152361 154413 155277 160083 163229 168399 170667 171699 174021 177023 180411 183051 186219 188727 189783 192339 195657 198303 198531 205821 208593 216513 219429 223729 226233 227601 231957 235081 238521 242649 245917 247293 251559 254947 254961 264627 268191 271803 276507 281799 282123 283503 290871 296571 302247 311619 316179 321489 323433 327789 327807 337953 344421 344817 349461 355509 360297 362313 369413 373977 386441 392931 393837 400631 400653 406049 420959 421443 427119 434511 440363 442827 448791 449307 457083 463239 465831 480249 489687 505197 512001 515097 522063 531069 541233 549153 556549 558657 566181 569349 577017 586971 594909 595593 617463 625779 638077 658287 661507 671187 678699 682803 691999 695871 705243 715563 727111 727947 737751 741879 754677 764841 764883 793881 804573 815409 829521 845397 846369 850509 872613 874577 889713 906741 918953 934857 948537 964467 970299 983367 983421 996611 1013859 1033263 1034451 1048383 1066527 1080891 1086939 1087427 1108239 1142603 1159323 1178793 1181511 1201893 1201959 1218147 1239161 1262877 1264329 1281357 1303533 1321089 1328481 1346373 1347921 1371249 1389717 1397493 1440747 1444069 1469061 1510633 1515591 1536003 1545291 1566103 1566189 1593207 1623699 1645567 1647459 1669647 1675971 1698543 1708047 1721419 1731051 1760913 1784727 1786779 1795519 1852389 1877337 1914231 1974861 1984521 2013561 2036097 2048409 2075997 2087613 2115729 2146689 2181333 2183841 2213253 2225637 2264031 2294523 2294649 2381643 2413719 2446227 2461019 2488563 2494301 2536191 2551527 2585891 2617839 2623731 2669139 2705087 2720223 2756859 2804417 2804571 2842343 2845611 2910897 2950101 2950263 2989833 3041577 3099789 3103353 3145149 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805168236783141 936624275441613 1035216304435467 1067316034805559 1137882384214191 1390745136261789 1699799610986631 1788100889479443 1939208006900241 2185456642697097 2415504710349423 2809872826324839 3201948104416677 4172235408785367 5099398832959893 6556369928091291 7246514131048269 12516706226356101 15298196498879679 19669109784273873 45894589496639037 137683768489917111
- Sum of all divisors σ(n): 288787257234432000
- Sum of proper divisors (its aliquot sum) s(n): 151103488744514889
- 137683768489917111 is an abundant number, because the sum of its proper divisors (151103488744514889) is greater than itself. Its abundance is 13419720254597778
Bases of 137683768489917111
- Binary: 1111010010010011010101000011100000010110110111010101101112
- Hexadecimal: 0x1E926A8702DBAB7
- Base-36: 11NOTM1XC8FR
Squares and roots of 137683768489917111
- 137683768489917111 squared (1376837684899171112) is 18956820105585091940327271650586321
- 137683768489917111 cubed (1376837684899171113) is 2610046430722383842845653122086825406104979840438631
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The
square root of 137683768489917111 is 371057634.9974719373 -
The
cube root of 137683768489917111 is 516369.8954363095
Scales and comparisons
How big is 137683768489917111?- 137,683,768,489,917,111 seconds is equal to 4,377,917,954 years, 6 weeks, 1 day, 23 hours, 11 minutes, 51 seconds.
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To count from 1 to 137,683,768,489,917,111 would take you about thirteen billion, one hundred thirty-three million, seven hundred fifty-three thousand, eight hundred sixty-two 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 137683768489917111 cubic inches would be around 43030.8 feet tall.
Recreational maths with 137683768489917111
- 137683768489917111 backwards is 111719984867386731
- The number of decimal digits it has is: 18
- The sum of 137683768489917111's digits is 90
- More coming soon!
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The information we have on file for 137683768489917111 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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