137413122363504
137,413,122,363,504 is an even composite number composed of seven prime numbers multiplied together.
What does the number 137413122363504 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 1200 divisors.
137413122363504 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of one thousand, two hundred divisors.
Prime factorization of 137413122363504:
24 × 34 × 13 × 17 × 29 × 151 × 3312
(2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 13 × 17 × 29 × 151 × 331 × 331)See below for interesting mathematical facts about the number 137413122363504 from the Numbermatics database.
Names of 137413122363504
- Cardinal: 137413122363504 can be written as One hundred thirty-seven trillion, four hundred thirteen billion, one hundred twenty-two million, three hundred sixty-three thousand, five hundred four.
Scientific notation
- Scientific notation: 1.37413122363504 × 1014
Factors of 137413122363504
Divisors of 137413122363504
- Number of divisors d(n): 1200
-
Complete list of divisors:
1 2 3 4 6 8 9 12 13 16 17 18 24 26 27 29 34 36 39 48 51 52 54 58 68 72 78 81 87 102 104 108 116 117 136 144 151 153 156 162 174 204 208 216 221 232 234 261 272 302 306 312 324 331 348 351 377 408 432 442 453 459 464 468 493 522 604 612 624 648 662 663 696 702 754 783 816 884 906 918 936 986 993 1044 1053 1131 1208 1224 1296 1324 1326 1359 1377 1392 1404 1479 1508 1566 1768 1812 1836 1872 1963 1972 1986 1989 2088 2106 2262 2349 2416 2448 2567 2648 2652 2718 2754 2808 2958 2979 3016 3132 3393 3536 3624 3672 3926 3944 3972 3978 4077 4176 4212 4303 4379 4437 4524 4698 5134 5296 5304 5436 5508 5616 5627 5889 5916 5958 5967 6032 6264 6409 6786 7248 7344 7701 7852 7888 7944 7956 8154 8424 8606 8758 8874 8937 9048 9396 9599 10179 10268 10608 10872 11016 11254 11778 11832 11916 11934 12231 12528 12818 12909 13137 13311 13572 15402 15704 15888 15912 16308 16848 16881 17212 17516 17667 17748 17874 17901 18096 18792 19198 19227 20358 20536 21744 22032 22508 23103 23556 23664 23832 23868 24462 25636 25818 26274 26622 26811 27144 28797 30537 30804 31408 31824 32616 33371 33762 34424 35032 35334 35496 35748 35802 37584 38396 38454 38727 39411 39933 40716 41072 45016 46206 47112 47664 47736 48924 49981 50643 51272 51636 52548 53001 53244 53622 54288 56927 57594 57681 61074 61608 65232 66742 67524 68848 69309 70064 70668 70992 71496 71604 73151 74443 76792 76908 77454 78822 79866 81432 86391 90032 92412 94224 95472 97848 99962 100113 101286 102544 103272 105096 106002 106488 107244 109561 113854 115188 115362 116181 118233 122148 123216 124787 133484 135048 138618 141336 142992 143208 146302 148886 149943 151929 153584 153816 154908 157644 159003 159732 162864 163183 170781 172782 173043 184824 195696 199924 200226 202572 206544 207927 210192 212004 212976 214488 219122 219453 223329 227708 230376 230724 232362 236466 244296 249574 259173 266968 270096 277236 282672 286416 292604 297772 299886 300339 303858 307632 309816 315288 318006 319464 326366 328683 341562 345564 346086 348543 354699 369648 374361 399848 400452 405144 415854 424008 428976 438244 438906 446658 449829 455416 455787 460752 461448 464724 472932 488592 489549 499148 512343 518346 519129 533936 554472 585208 595544 599772 600678 607716 619632 630576 636012 638928 649753 652732 657366 658359 669987 683124 691128 692172 697086 709398 748722 777519 799696 800904 810288 831708 848016 849677 876488 877812 893316 899658 901017 910832 911574 922896 929448 945864 967759 979098 986049 998296 1024686 1036692 1038258 1108944 1123083 1170416 1191088 1199544 1201356 1215432 1272024 1299506 1305464 1314732 1316718 1339974 1349487 1366248 1382256 1384344 1394172 1418796 1424293 1449449 1468647 1497444 1537029 1555038 1601808 1663416 1699354 1752976 1755624 1786632 1799316 1802034 1823148 1858896 1862537 1891728 1935518 1949259 1958196 1972098 1975077 1996592 2009961 2049372 2073384 2076516 2121379 2246166 2399088 2402712 2430864 2544048 2549031 2599012 2610928 2629464 2633436 2679948 2698974 2703051 2732496 2768688 2788344 2837592 2848586 2898898 2903277 2937294 2958147 2994888 3074058 3110076 3177269 3326832 3369249 3398708 3511248 3573264 3598632 3604068 3646296 3725074 3871036 3898518 3916392 3944196 3950154 4019922 4048461 4098744 4146768 4153032 4242758 4272879 4348347 4405941 4492332 4611087 4805424 5098062 5198024 5258928 5266872 5359896 5397948 5406102 5576688 5587611 5675184 5697172 5797796 5806554 5847777 5874588 5916294 5925231 5989776 6029883 6148116 6220152 6354538 6364137 6738498 6797416 7197264 7208136 7292592 7450148 7647093 7742072 7797036 7832784 7888392 7900308 8039844 8096922 8197488 8306064 8485516 8545758 8696694 8709831 8811882 8874441 8984664 9222174 9531807 10107747 10196124 10396048 10533744 10719792 10795896 10812204 11045801 11175222 11394344 11595592 11613108 11695554 11749176 11832588 11850462 12059766 12296232 12440304 12709076 12728274 12818637 13045041 13217823 13476996 13594832 14416272 14900296 15294186 15484144 15594072 15776784 15800616 16079688 16193844 16543711 16762833 16971032 17091516 17393388 17419662 17543331 17623764 17748882 17969328 18444348 18842837 19063614 19092411 20215494 20392248 21591792 21624408 22091602 22350444 22788688 22941279 23191184 23226216 23391108 23498352 23665176 23700924 24119532 24212981 24592464 24640633 25418152 25456548 25637274 26090082 26129493 26435646 26953992 28595421 29800592 30588372 31188144 31601232 32159376 32387688 33087422 33137403 33525666 33942064 34183032 34786776 34839324 35086662 35247528 35497764 36888696 37685674 38127228 38184822 38455911 39135123 40430988 40784496 41304497 43248816 44183204 44700888 45882558 46452432 46782216 47330352 47401848 48239064 48425962 49281266 49631133 50288499 50836304 50913096 51274548 52180164 52258986 52629993 52871292 53907984 54013573 56528511 57190842 57277233 61176744 64775376 66174844 66274806 67051332 68366064 68823837 69573552 69678648 70173324 70495056 70995528 72638943 73777392 73921899 75371348 76254456 76369644 76911822 78270246 78388479 80861976 82608994 85786263 88366408 89401776 91765116 93564432 94803696 96478128 96851924 98562532 99262266 99412209 100576998 101826192 102549096 104360328 104517972 105259986 105742584 108027146 113057022 114381684 114554466 115367733 117405369 122353488 123913491 132349688 132549612 134102664 137647674 139357296 140346648 141991056 145277886 147843798 148893399 150742696 150865497 152508912 152739288 153823644 156540492 156776958 161723952 162040719 165217988 169585533 171572526 171831699 176732816 183530232 193703848 197125064 198524532 198824418 201153996 205098192 208720656 209035944 210519972 211485168 215068243 216054292 217916829 221765697 226114044 228763368 229108932 230735466 234810738 247826982 257358789 264699376 265099224 268205328 275295348 280693296 281243087 290555772 295687596 297786798 298236627 301485392 301730994 305478576 307647288 313080984 313553916 320328229 324081438 330435976 339171066 343145052 343663398 367060464 371740473 387407696 394250128 397049064 397648836 402307992 418071888 421039944 430136486 432108584 435833658 443531394 446680197 452228088 457526736 458217864 461470932 469621476 479767619 486122157 495653964 508756599 514717578 530198448 550590696 562486174 581111544 591375192 595573596 596473254 603461988 615294576 626161968 627107832 640656458 645204729 648162876 653750487 660871952 665297091 678342132 686290104 687326796 702176449 743480946 794098128 795297672 804615984 842079888 843729261 860272972 864217168 871667316 887062788 893360394 894709881 904456176 916435728 922941864 939242952 959535238 960984687 972244314 991307928 1017513198 1029435156 1101181392 1115221419 1124972348 1162223088 1182750384 1191147192 1192946508 1206923976 1254215664 1281312916 1290409458 1296325752 1307500974 1330594182 1340040591 1356684264 1372580208 1374653592 1404352898 1439302857 1458366471 1486961892 1526269797 1590595344 1687458522 1720545944 1743334632 1774125576 1786720788 1789419762 1845883728 1878485904 1919070476 1921969374 1935614187 1944488628 1961251461 1982615856 1995891273 2035026396 2058870312 2106529347 2230442838 2249944696 2382294384 2385893016 2413847952 2531187783 2562625832 2580818916 2592651504 2615001948 2661188364 2680081182 2713368528 2749307184 2808705796 2878605714 2882954061 2916732942 2973923784 3052539594 3345664257 3374917044 3441091888 3486669264 3548251152 3573441576 3578839524 3656160131 3838140952 3843938748 3871228374 3888977256 3922502922 3991782546 4070052792 4117740624 4213058694 4317908571 4375099413 4460885676 4499889392 4771786032 5062375566 5125251664 5161637832 5230003896 5322376728 5360162364 5617411592 5757211428 5765908122 5806842561 5833465884 5947847568 6105079188 6236979047 6319588041 6691328514 6749834088 7146883152 7157679048 7312320262 7593563349 7676281904 7687877496 7742456748 7777954512 7845005844 7983565092 8140105584 8156049523 8426117388 8635817142 8648862183 8750198826 8921771352 10124751132 10323275664 10460007792 10644753456 10720324728 10968480393 11234823184 11514422856 11531816244 11613685122 11666931768 12210158376 12473958094 12639176082 12953725713 13382657028 13499668176 14315358096 14624640524 15187126698 15375754992 15484913496 15690011688 15967130184 16312099046 16852234776 17271634284 17297724366 17420527683 17500397652 17843542704 18710937141 18958764123 20249502264 21440649456 21936960786 22780690047 23028845712 23063632488 23227370244 23333863536 24420316752 24468148569 24947916188 25278352164 25907451426 25946586549 26765314056 29249281048 30374253396 30969826992 31380023376 31934260368 32624198092 32905441179 33704469552 34543268568 34595448732 34841055366 35000795304 37421874282 37917528246 38861177139 40499004528 43873921572 45561380094 46127264976 46454740488 48936297138 49895832376 50556704328 51814902852 51893173098 53530628112 56132811423 56876292369 58498562096 60748506792 65248396184 65810882358 69086537136 69190897464 69682110732 70001590608 73404445707 74843748564 75835056492 77722354278 87747843144 91122760188 92909480976 97872594276 98716323537 99791664752 101113408656 103629805704 103786346196 106028643799 112265622846 113752584738 121497013584 130496792368 131621764716 138381794928 139364221464 146808891414 149687497128 151670112984 155444708556 168398434269 175495686288 182245520376 195745188552 197432647074 207259611408 207572692392 212057287598 220213337121 224531245692 227505169476 263243529432 278728442928 293617782828 296148970611 299374994256 303340225968 310889417112 318085931397 336796868538 364491040752 391490377104 394865294148 415145384784 424114575196 440426674242 449062491384 455010338952 505195302807 526487058864 587235565656 592297941222 621778834224 636171862794 660640011363 673593737076 789730588296 848229150392 880853348484 898124982768 910020677904 954257794191 1010390605614 1174471131312 1184595882444 1272343725588 1321280022726 1347187474152 1579461176592 1696458300784 1761706696968 1908515588382 2020781211228 2369191764888 2544687451176 2642560045452 2694374948304 2862773382573 3523413393936 3817031176764 4041562422456 4738383529776 5089374902352 5285120090904 5725546765146 7634062353528 8083124844912 8588320147719 10570240181808 11451093530292 15268124707056 17176640295438 22902187060584 34353280590876 45804374121168 68706561181752 137413122363504
- Sum of all divisors σ(n): 473677195844160
- Sum of proper divisors (its aliquot sum) s(n): 336264073480656
- 137413122363504 is an abundant number, because the sum of its proper divisors (336264073480656) is greater than itself. Its abundance is 198850951117152
Bases of 137413122363504
- Binary: 111110011111001111111000101100010010000011100002
- Hexadecimal: 0x7CF9FC589070
- Base-36: 1CPIPT5J00
Squares and roots of 137413122363504
- 137413122363504 squared (1374131223635042) is 18882366197687323131111158016
- 137413122363504 cubed (1374131223635043) is 2594684896835299893592932259465316335448064
-
The
square root of 137413122363504 is 11722334.3393499915 -
The
cube root of 137413122363504 is 51603.1329302215
Scales and comparisons
How big is 137413122363504?- 137,413,122,363,504 seconds is equal to 4,369,312 years, 12 weeks, 4 days, 23 hours, 38 minutes, 24 seconds.
-
To count from 1 to 137,413,122,363,504 would take you about ten million, nine hundred twenty-three thousand, two hundred eighty 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 137413122363504 cubic inches would be around 4300.3 feet tall.
Recreational maths with 137413122363504
- 137413122363504 backwards is 405363221314731
- The number of decimal digits it has is: 15
- The sum of 137413122363504's digits is 45
- More coming soon!
Link to this page
HTML: To link to this page, just copy and paste the link below into your blog, web page or email.
BBCODE: To link to this page in a forum post or comment box, just copy and paste the link code below:
Cite this page
MLA style:
"Number 137413122363504 - Facts about the integer". Numbermatics.com. 2024. Web. 22 September 2024.
APA style:
Numbermatics. (2024). Number 137413122363504 - Facts about the integer. Retrieved 22 September 2024, from https://numbermatics.com/n/137413122363504/
Chicago style:
Numbermatics. 2024. "Number 137413122363504 - Facts about the integer". https://numbermatics.com/n/137413122363504/
The information we have on file for 137413122363504 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!
Keywords: Divisors of 137413122363504, math, Factors of 137413122363504, curriculum, school, college, exams, university, Prime factorization of 137413122363504, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty-seven trillion, four hundred thirteen billion, one hundred twenty-two million, three hundred sixty-three thousand, five hundred four.