138438227306808
138,438,227,306,808 is an even composite number composed of eight prime numbers multiplied together.
What does the number 138438227306808 look like?
This visualization shows the relationship between its 8 prime factors (large circles) and 1920 divisors.
138438227306808 is an even composite number. It is composed of eight distinct prime numbers multiplied together. It has a total of one thousand, nine hundred twenty divisors.
Prime factorization of 138438227306808:
23 × 34 × 112 × 13 × 19 × 73 × 181 × 541
(2 × 2 × 2 × 3 × 3 × 3 × 3 × 11 × 11 × 13 × 19 × 73 × 181 × 541)See below for interesting mathematical facts about the number 138438227306808 from the Numbermatics database.
Names of 138438227306808
- Cardinal: 138438227306808 can be written as One hundred thirty-eight trillion, four hundred thirty-eight billion, two hundred twenty-seven million, three hundred six thousand, eight hundred eight.
Scientific notation
- Scientific notation: 1.38438227306808 × 1014
Factors of 138438227306808
Divisors of 138438227306808
- Number of divisors d(n): 1920
-
Complete list of divisors:
1 2 3 4 6 8 9 11 12 13 18 19 22 24 26 27 33 36 38 39 44 52 54 57 66 72 73 76 78 81 88 99 104 108 114 117 121 132 143 146 152 156 162 171 181 198 209 216 219 228 234 242 247 264 286 292 297 312 324 342 351 362 363 396 418 429 438 456 468 484 494 513 541 543 572 584 594 627 648 657 684 702 724 726 741 792 803 836 858 876 891 936 949 968 988 1026 1053 1082 1086 1089 1144 1188 1254 1287 1314 1368 1387 1404 1448 1452 1482 1539 1573 1606 1623 1629 1672 1716 1752 1782 1881 1898 1971 1976 1991 2052 2106 2164 2172 2178 2223 2299 2353 2376 2409 2508 2574 2628 2717 2774 2808 2847 2904 2964 3078 3146 3212 3246 3258 3267 3432 3439 3564 3762 3796 3861 3942 3982 4104 4161 4212 4328 4344 4356 4446 4598 4706 4719 4818 4869 4887 5016 5148 5256 5434 5548 5643 5694 5913 5928 5951 5973 6156 6292 6424 6492 6516 6534 6669 6878 6897 7033 7059 7128 7227 7524 7592 7722 7884 7964 8151 8322 8424 8541 8712 8833 8892 9196 9412 9438 9636 9738 9774 9801 10279 10296 10317 10439 10868 11096 11286 11388 11583 11826 11902 11946 12312 12483 12584 12984 13032 13068 13213 13338 13756 13794 14066 14118 14157 14454 14607 14661 15048 15257 15444 15768 15928 16302 16644 16929 17082 17666 17784 17853 17919 18031 18392 18824 18876 19272 19476 19548 19602 20007 20558 20634 20691 20878 21099 21177 21681 21736 21901 22572 22776 23166 23652 23804 23892 24453 24966 25623 25883 26136 26426 26499 26676 27512 27588 28132 28236 28314 28908 29214 29322 29887 30514 30837 30888 30951 31317 32604 33288 33858 34164 35332 35706 35838 36062 37449 37752 37829 38952 39096 39204 39493 39639 40014 41116 41268 41382 41756 42198 42354 42471 43362 43802 43821 44707 45144 45771 46332 47304 47608 47784 48906 49932 51246 51766 52852 52998 53352 53559 53757 54093 55176 56264 56472 56628 57816 58428 58644 59774 61028 61674 61902 62073 62634 63297 63531 65043 65208 65461 65703 67716 68328 70664 71412 71676 72124 73359 74898 75658 76869 77363 77649 78408 78986 79278 79497 80028 82232 82536 82764 83512 84396 84708 84942 86724 87604 87642 89414 89661 91542 92511 92664 92853 93951 97812 97921 99864 102492 103532 105704 105996 107118 107514 108186 112347 113069 113256 113487 114829 116856 117288 118479 118917 119548 122056 123348 123804 124146 125268 126594 127062 127413 130086 130922 131406 133627 134121 135432 137313 142824 143352 144248 145343 146718 149796 151316 153738 154726 155298 157972 158556 158994 160056 160677 161271 162279 165528 167827 168792 169416 169884 171769 173448 175208 175284 178828 179322 183084 185022 185706 186219 187902 189891 190593 195624 195842 196383 197109 198341 204984 207064 211992 214236 215028 216372 220077 224694 226138 226974 229658 232089 232947 236958 237834 238491 239096 246696 247608 248292 250536 251047 253188 254124 254826 260172 261844 262812 267254 268242 268983 274626 277533 278559 281853 284713 290686 293436 293763 299592 302632 307476 309452 310596 315944 317112 317988 321354 322542 324558 335654 339207 339768 340461 343538 344487 350568 355437 356751 357656 358644 366168 370044 371412 372438 375804 379782 381186 391684 392766 394218 396682 400881 402363 411939 416119 428472 430056 432744 434423 436029 440154 449388 452276 453948 459316 464178 465894 473916 475668 476982 482031 486837 491777 496584 502094 503481 506376 508248 509652 513409 515307 520344 523688 525624 534508 536484 537966 549252 555066 557118 563706 569426 569673 581372 586872 587526 589149 591327 595023 614952 618904 621192 635976 642708 645084 649116 671308 678414 680922 687076 688974 696267 698841 710874 713502 715473 717288 740088 742824 744876 750367 751608 753141 759564 762372 783368 785532 788436 793364 801762 804726 806949 823878 832238 832599 845559 850993 854139 868846 872058 880308 881289 898776 904552 907896 918632 928356 931788 947832 951336 953964 964062 973674 983554 1004188 1006962 1017621 1019304 1021383 1026818 1030614 1033461 1066311 1069016 1070253 1072968 1075932 1077131 1098504 1110132 1114236 1127412 1138852 1139346 1162744 1175052 1178298 1182654 1190046 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5545070388 5661400536 5794333974 5815754802 5853129854 5975922788 6078250233 6133183914 6321091608 6369075603 6385232568 6537197304 6561364392 6630818436 6690746088 6709228812 6734031876 6919489544 7062454204 7081963746 7108144758 7183386639 7334087058 7354346967 7527089349 7677789768 7725778632 7754339736 7784425737 7836421788 8104333644 8177578552 8317605582 8492100804 8691500961 8779694781 8963884182 9073751544 9199775871 9442618328 9477526344 9577848852 9778782744 9805795956 9842046588 10036119132 10063843218 10379234316 10477425816 10593681306 10622945619 10662217137 11001130587 11090140776 11244170509 11588667948 11631509604 11706259708 11951845576 12156500466 12266367828 12476408373 12738151206 13261636872 13418457624 13445826273 13468063752 14124908408 14163927492 14216289516 14366773278 14668174116 14708693934 15054178698 15568851474 15672843576 15890521959 16208667288 16433787667 16635211164 16984201608 17383001922 17559389562 17927768364 18234750699 18399551742 19155697704 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1281835438026 1331136801027 1398365932392 1573161673941 1709113917368 1774849068036 1821555622458 1896414072696 1922753157039 2097548898588 2428740829944 2563670876052 2662273602054 3146323347882 3549698136072 3643111244916 3845506314078 4195097797176 5127341752104 5324547204108 5768259471117 6292646695764 7286222489832 7691012628156 10649094408216 11536518942234 12585293391528 15382025256312 17304778413351 23073037884468 34609556826702 46146075768936 69219113653404 138438227306808
- Sum of all divisors σ(n): 493388128833600
- Sum of proper divisors (its aliquot sum) s(n): 354949901526792
- 138438227306808 is an abundant number, because the sum of its proper divisors (354949901526792) is greater than itself. Its abundance is 216511674219984
Bases of 138438227306808
- Binary: 111110111101000101010010101110010101001001110002
- Hexadecimal: 0x7DE8A95CA938
- Base-36: 1D2LN663I0
Squares and roots of 138438227306808
- 138438227306808 squared (1384382273068082) is 19165142779851440192963148864
- 138438227306808 cubed (1384382273068083) is 2653188392524503829711016867791861904666112
-
The
square root of 138438227306808 is 11765977.5329892587 -
The
cube root of 138438227306808 is 51731.1353280959
Scales and comparisons
How big is 138438227306808?- 138,438,227,306,808 seconds is equal to 4,401,907 years, 21 weeks, 2 days, 12 hours, 46 minutes, 48 seconds.
-
To count from 1 to 138,438,227,306,808 would take you about eleven million, four thousand, seven hundred sixty-eight 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 138438227306808 cubic inches would be around 4310.9 feet tall.
Recreational maths with 138438227306808
- 138438227306808 backwards is 808603722834831
- The number of decimal digits it has is: 15
- The sum of 138438227306808's digits is 63
- More coming soon!
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Cite this page
MLA style:
"Number 138438227306808 - Facts about the integer". Numbermatics.com. 2024. Web. 21 June 2024.
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Numbermatics. (2024). Number 138438227306808 - Facts about the integer. Retrieved 21 June 2024, from https://numbermatics.com/n/138438227306808/
Chicago style:
Numbermatics. 2024. "Number 138438227306808 - Facts about the integer". https://numbermatics.com/n/138438227306808/
The information we have on file for 138438227306808 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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