137830016742912
137,830,016,742,912 is an even composite number composed of five prime numbers multiplied together.
What does the number 137830016742912 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 960 divisors.
137830016742912 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of nine hundred sixty divisors.
Prime factorization of 137830016742912:
29 × 32 × 133 × 313 × 457
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 13 × 13 × 13 × 31 × 31 × 31 × 457)See below for interesting mathematical facts about the number 137830016742912 from the Numbermatics database.
Names of 137830016742912
- Cardinal: 137830016742912 can be written as One hundred thirty-seven trillion, eight hundred thirty billion, sixteen million, seven hundred forty-two thousand, nine hundred twelve.
Scientific notation
- Scientific notation: 1.37830016742912 × 1014
Factors of 137830016742912
Divisors of 137830016742912
- Number of divisors d(n): 960
-
Complete list of divisors:
1 2 3 4 6 8 9 12 13 16 18 24 26 31 32 36 39 48 52 62 64 72 78 93 96 104 117 124 128 144 156 169 186 192 208 234 248 256 279 288 312 338 372 384 403 416 457 468 496 507 512 558 576 624 676 744 768 806 832 914 936 961 992 1014 1116 1152 1209 1248 1352 1371 1488 1521 1536 1612 1664 1828 1872 1922 1984 2028 2197 2232 2304 2418 2496 2704 2742 2883 2976 3042 3224 3328 3627 3656 3744 3844 3968 4056 4113 4394 4464 4608 4836 4992 5239 5408 5484 5766 5941 5952 6084 6448 6591 6656 7254 7312 7488 7688 7936 8112 8226 8649 8788 8928 9672 9984 10478 10816 10968 11532 11882 11904 12168 12493 12896 13182 14167 14508 14624 14976 15376 15717 15872 16224 16452 17298 17576 17823 17856 19344 19773 19968 20956 21632 21936 23064 23764 23808 24336 24986 25792 26364 28334 29016 29248 29791 29952 30752 31434 32448 32904 34596 35152 35646 35712 37479 38688 39546 41912 42501 43264 43872 46128 47151 47528 47616 48672 49972 51584 52728 53469 56668 58032 58496 59582 59904 61504 62868 64896 65808 68107 69192 70304 71292 71424 74958 77233 77376 79092 83824 85002 86528 87744 89373 92256 94302 95056 97344 99944 103168 105456 106938 112437 113336 116064 116992 119164 123008 125736 127503 129792 131616 136214 138384 140608 142584 142848 149916 154466 154752 158184 162409 167648 170004 175488 178746 184171 184512 188604 190112 194688 199888 204321 206336 210912 213876 224874 226672 231699 232128 233984 238328 246016 251472 255006 259584 263232 268119 272428 276768 281216 285168 299832 308932 309504 316368 324818 335296 340008 350976 357492 368342 369024 377208 380224 387283 389376 399776 408642 421824 427752 439177 449748 453344 463398 464256 476656 487227 492032 502944 510012 526464 536238 544856 552513 553536 562432 570336 599664 612963 617864 619008 632736 649636 670592 680016 695097 701952 714984 736684 738048 754416 760448 774566 778752 799552 817284 843648 855504 878354 899496 906688 926796 928512 953312 974454 1004029 1005888 1020024 1052928 1072476 1089712 1105026 1107072 1124864 1140672 1161849 1199328 1225926 1235728 1265472 1299272 1317531 1341184 1360032 1390194 1429968 1461681 1473368 1476096 1508832 1520896 1549132 1599104 1634568 1657539 1687296 1711008 1756708 1798992 1813376 1853592 1857024 1906624 1948908 2008058 2011776 2040048 2105856 2111317 2144952 2179424 2210052 2214144 2281344 2323698 2394223 2398656 2451852 2471456 2530944 2598544 2635062 2682368 2720064 2780388 2859936 2923362 2946736 3012087 3017664 3041792 3098264 3198208 3269136 3315078 3374592 3422016 3485547 3513416 3597984 3626752 3707184 3813248 3897816 3952593 4016116 4023552 4080096 4222634 4289904 4358848 4420104 4428288 4562688 4647396 4788446 4797312 4903704 4942912 5034679 5061888 5197088 5270124 5440128 5560776 5709301 5719872 5846724 5893472 6024174 6035328 6196528 6333951 6396416 6538272 6630156 6844032 6971094 7026832 7182669 7195968 7253504 7414368 7626496 7795632 7905186 8032232 8047104 8160192 8445268 8579808 8717696 8840208 9036261 9125376 9294792 9576892 9594624 9807408 9885824 10069358 10123776 10394176 10540248 10880256 11121552 11418602 11439744 11693448 11786944 12048348 12070656 12393056 12667902 13076544 13260312 13614487 13688064 13942188 14053664 14365338 14391936 14828736 15104037 15252992 15591264 15810372 16064464 16320384 16890536 17127903 17159616 17435392 17680416 18072522 18589584 19001853 19153784 19189248 19614816 19771648 20138716 20788352 21080496 21548007 21760512 22243104 22837204 22879488 23386896 23573888 24096696 24141312 24786112 25335804 26153088 26520624 27228974 27376128 27884376 28107328 28730676 28783872 29657472 30208074 31124899 31182528 31620744 32128928 32640768 33781072 34255806 34319232 34870784 35360832 36145044 37179168 38003706 38307568 39229632 39543296 40277432 40843461 41576704 42160992 43096014 44486208 45312111 45674408 45758976 46773792 47147776 48193392 49572224 50671608 51383709 52306176 53041248 54457948 55768752 56214656 57461352 57567744 59314944 60416148 62249798 62365056 63241488 64257856 65281536 65450827 67562144 68511612 68638464 70721664 72290088 74220913 74358336 76007412 76615136 78459264 80554864 81686922 83153408 84321984 86192028 88972416 90624222 91348816 93374697 93547584 94295552 96386784 99144448 101343216 102767418 104612352 106082496 108915896 111537504 112429312 114922704 118629888 120832296 122530383 124499596 124730112 126482976 128515712 130901654 135124288 137023224 137276928 141443328 144580176 148441826 148716672 152014824 153230272 156918528 161109728 163373844 168643968 172384056 176988331 177944832 181248444 182697632 186749394 187095168 192773568 196352481 198288896 202686432 205534836 212164992 217831792 222662739 223075008 224858624 229845408 241664592 245060766 248999192 249460224 252965952 257031424 261803308 270248576 274046448 280124091 282886656 289160352 296883652 297433344 304029648 306460544 313837056 322219456 326747688 337287936 344768112 353976662 355889664 362496888 365395264 373498788 374190336 385547136 392704962 405372864 411069672 424329984 435663584 445325478 446150016 459690816 483329184 490121532 497998384 505931904 514062848 523606616 530964993 540497152 548092896 560248182 578320704 589057443 593767304 594866688 608059296 612921088 644438912 653495376 667988217 674575872 689536224 707953324 724993776 730790528 746997576 748380672 771094272 785409924 810745728 822139344 848659968 871327168 890650956 892300032 919381632 964871869 966658368 980243064 995996768 1011863808 1047213232 1061929986 1080994304 1096185792 1120496364 1156641408 1178114886 1187534608 1216118592 1225842176 1288877824 1306990752 1335976434 1379072448 1415906648 1449987552 1461581056 1493995152 1542188544 1570819848 1592894979 1621491456 1644278688 1742654336 1781301912 1784600064 1838763264 1929743738 1933316736 1960486128 1991993536 2023727616 2094426464 2123859972 2192371584 2240992728 2300848303 2313282816 2356229772 2375069216 2432237184 2577755648 2613981504 2671952868 2758144896 2831813296 2894615607 2899975104 2923162112 2987990304 3141639696 3185789958 3242982912 3288557376 3485308672 3562603824 3677526528 3859487476 3866633472 3920972256 3983987072 4188852928 4247719944 4384743168 4481985456 4601696606 4626565632 4712459544 4750138432 4864474368 5227963008 5343905736 5516289792 5663626592 5789231214 5799950208 5975980608 6283279392 6371579916 6577114752 6902544909 6970617344 7125207648 7718974952 7733266944 7841944512 7967974144 8377705856 8495439888 8683846821 8769486336 8963970912 9203393212 9424919088 9500276864 9728948736 10455926016 10687811472 11032579584 11327253184 11578462428 11599900416 11951961216 12566558784 12743159832 13154229504 13805089818 14250415296 15437949904 15683889024 15935948288 16755411712 16990879776 17367693642 17927941824 18406786424 18849838176 19000553728 20707634727 20911852032 21375622944 22654506368 23156924856 23199800832 23903922432 25133117568 25486319664 26308459008 27610179636 28500830592 29911027939 30875899808 31367778048 33510823424 33981759552 34735387284 35855883648 36813572848 37699676352 38001107456 41415269454 42751245888 45309012736 46313849712 47807844864 50266235136 50972639328 55220359272 57001661184 59822055878 61751799616 62735556096 67963519104 69470774568 71711767296 73627145696 75399352704 82830538908 85502491776 89733083817 90618025472 92627699424 100532470272 101945278656 110440718544 114003322368 119644111756 123503599232 135927038208 138941549136 143423534592 147254291392 150798705408 165661077816 171004983552 179466167634 185255398848 203890557312 220881437088 239288223512 247007198464 269199251451 271854076416 277883098272 294508582784 301597410816 331322155632 342009967104 358932335268 370510797696 407781114624 441762874176 478576447024 494014396928 538398502902 555766196544 589017165568 662644311264 717864670536 741021595392 815562229248 883525748352 957152894048 1076797005804 1111532393088 1178034331136 1325288622528 1435729341072 1482043190784 1767051496704 1914305788096 2153594011608 2223064786176 2650577245056 2871458682144 3534102993408 3828611576192 4307188023216 4446129572352 5301154490112 5742917364288 7657223152384 8614376046432 10602308980224 11485834728576 15314446304768 17228752092864 22971669457152 34457504185728 45943338914304 68915008371456 137830016742912
- Sum of all divisors σ(n): 446258469296640
- Sum of proper divisors (its aliquot sum) s(n): 308428452553728
- 137830016742912 is an abundant number, because the sum of its proper divisors (308428452553728) is greater than itself. Its abundance is 170598435810816
Bases of 137830016742912
- Binary: 111110101011011000011010010111111110110000000002
- Hexadecimal: 0x7D5B0D2FF600
- Base-36: 1CUU8HAWW0
Squares and roots of 137830016742912
- 137830016742912 squared (1378300167429122) is 18997113515351402245102239744
- 137830016742912 cubed (1378300167429123) is 2618372473887883612981618570264751036694528
-
The
square root of 137830016742912 is 11740102.9272707827 -
The
cube root of 137830016742912 is 51655.2660800557
Scales and comparisons
How big is 137830016742912?- 137,830,016,742,912 seconds is equal to 4,382,568 years, 10 weeks, 1 day, 9 hours, 55 minutes, 12 seconds.
-
To count from 1 to 137,830,016,742,912 would take you about ten million, nine hundred fifty-six thousand, four hundred twenty 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 137830016742912 cubic inches would be around 4304.6 feet tall.
Recreational maths with 137830016742912
- 137830016742912 backwards is 219247610038731
- The number of decimal digits it has is: 15
- The sum of 137830016742912's digits is 54
- More coming soon!
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The information we have on file for 137830016742912 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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