137483834642399232
137,483,834,642,399,232 is an even composite number composed of four prime numbers multiplied together.
What does the number 137483834642399232 look like?
This visualization shows the relationship between its 4 prime factors (large circles) and 960 divisors.
137483834642399232 is an even composite number. It is composed of four distinct prime numbers multiplied together. It has a total of nine hundred sixty divisors.
Prime factorization of 137483834642399232:
219 × 37 × 13 × 30372
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 13 × 3037 × 3037)See below for interesting mathematical facts about the number 137483834642399232 from the Numbermatics database.
Names of 137483834642399232
- Cardinal: 137483834642399232 can be written as One hundred thirty-seven quadrillion, four hundred eighty-three trillion, eight hundred thirty-four billion, six hundred forty-two million, three hundred ninety-nine thousand, two hundred thirty-two.
Scientific notation
- Scientific notation: 1.37483834642399232 × 1017
Factors of 137483834642399232
Divisors of 137483834642399232
- Number of divisors d(n): 960
-
Complete list of divisors:
1 2 3 4 6 8 9 12 13 16 18 24 26 27 32 36 39 48 52 54 64 72 78 81 96 104 108 117 128 144 156 162 192 208 216 234 243 256 288 312 324 351 384 416 432 468 486 512 576 624 648 702 729 768 832 864 936 972 1024 1053 1152 1248 1296 1404 1458 1536 1664 1728 1872 1944 2048 2106 2187 2304 2496 2592 2808 2916 3037 3072 3159 3328 3456 3744 3888 4096 4212 4374 4608 4992 5184 5616 5832 6074 6144 6318 6656 6912 7488 7776 8192 8424 8748 9111 9216 9477 9984 10368 11232 11664 12148 12288 12636 13312 13824 14976 15552 16384 16848 17496 18222 18432 18954 19968 20736 22464 23328 24296 24576 25272 26624 27333 27648 28431 29952 31104 32768 33696 34992 36444 36864 37908 39481 39936 41472 44928 46656 48592 49152 50544 53248 54666 55296 56862 59904 62208 65536 67392 69984 72888 73728 75816 78962 79872 81999 82944 89856 93312 97184 98304 101088 106496 109332 110592 113724 118443 119808 124416 131072 134784 139968 145776 147456 151632 157924 159744 163998 165888 179712 186624 194368 196608 202176 212992 218664 221184 227448 236886 239616 245997 248832 262144 269568 279936 291552 294912 303264 315848 319488 327996 331776 355329 359424 373248 388736 393216 404352 425984 437328 442368 454896 473772 479232 491994 497664 524288 539136 559872 583104 589824 606528 631696 638976 655992 663552 710658 718848 737991 746496 777472 786432 808704 851968 874656 884736 909792 947544 958464 983988 995328 1065987 1078272 1119744 1166208 1179648 1213056 1263392 1277952 1311984 1327104 1421316 1437696 1475982 1492992 1554944 1572864 1617408 1703936 1749312 1769472 1819584 1895088 1916928 1967976 1990656 2131974 2156544 2213973 2239488 2332416 2359296 2426112 2526784 2555904 2623968 2654208 2842632 2875392 2951964 2985984 3109888 3197961 3234816 3407872 3498624 3538944 3639168 3790176 3833856 3935952 3981312 4263948 4313088 4427946 4478976 4664832 4718592 4852224 5053568 5111808 5247936 5308416 5685264 5750784 5903928 5971968 6219776 6395922 6469632 6641919 6815744 6997248 7077888 7278336 7580352 7667712 7871904 7962624 8527896 8626176 8855892 8957952 9223369 9329664 9593883 9704448 10107136 10223616 10495872 10616832 11370528 11501568 11807856 11943936 12439552 12791844 12939264 13283838 13994496 14155776 14556672 15160704 15335424 15743808 15925248 17055792 17252352 17711784 17915904 18446738 18659328 19187766 19408896 20214272 20447232 20991744 21233664 22741056 23003136 23615712 23887872 24879104 25583688 25878528 26567676 27670107 27988992 28781649 29113344 30321408 30670848 31487616 31850496 34111584 34504704 35423568 35831808 36893476 37318656 38375532 38817792 40428544 41983488 42467328 45482112 46006272 47231424 47775744 49758208 51167376 51757056 53135352 55340214 55977984 57563298 58226688 60642816 61341696 62975232 63700992 68223168 69009408 70847136 71663616 73786952 74637312 76751064 77635584 80857088 83010321 83966976 86344947 90964224 92012544 94462848 95551488 99516416 102334752 103514112 106270704 110680428 111955968 115126596 116453376 119903797 121285632 125950464 127401984 136446336 138018816 141694272 143327232 147573904 149274624 153502128 155271168 161714176 166020642 167933952 172689894 181928448 184025088 188925696 191102976 199032832 204669504 207028224 212541408 221360856 223911936 230253192 232906752 239807594 242571264 249030963 251900928 272892672 276037632 283388544 286654464 295147808 298549248 307004256 310542336 323428352 332041284 335867904 345379788 359711391 363856896 377851392 382205952 398065664 409339008 414056448 425082816 442721712 447823872 460506384 465813504 479615188 485142528 498061926 503801856 545785344 552075264 566777088 573308928 590295616 597098496 614008512 621084672 646856704 664082568 671735808 690759576 719422782 727713792 747092889 755702784 796131328 818678016 828112896 850165632 885443424 895647744 921012768 931627008 959230376 970285056 996123852 1007603712 1079134173 1091570688 1133554176 1146617856 1180591232 1194196992 1228017024 1242169344 1293713408 1328165136 1343471616 1381519152 1438845564 1455427584 1494185778 1511405568 1592262656 1637356032 1656225792 1700331264 1770886848 1791295488 1842025536 1863254016 1918460752 1940570112 1992247704 2015207424 2158268346 2183141376 2241278667 2267108352 2361182464 2388393984 2456034048 2484338688 2587426816 2656330272 2686943232 2763038304 2877691128 2910855168 2988371556 3022811136 3237402519 3274712064 3400662528 3541773696 3582590976 3684051072 3726508032 3836921504 3881140224 3984495408 4030414848 4316536692 4366282752 4482557334 4534216704 4722364928 4776787968 4912068096 4968677376 5174853632 5312660544 5373886464 5526076608 5755382256 5821710336 5976743112 6045622272 6474805038 6549424128 6723836001 6801325056 7083547392 7165181952 7368102144 7453016064 7673843008 7762280448 7968990816 8060829696 8633073384 8732565504 8965114668 9068433408 9444729856 9712207557 9824136192 10349707264 10625321088 10747772928 11052153216 11510764512 11643420672 11953486224 12091244544 12949610076 13098848256 13447672002 13602650112 14167094784 14330363904 14736204288 14906032128 15347686016 15524560896 15937981632 16121659392 17266146768 17465131008 17930229336 18136866816 18889459712 19424415114 19648272384 20171508003 20699414528 21250642176 21495545856 22104306432 23021529024 23286841344 23906972448 24182489088 25899220152 26197696512 26895344004 27205300224 28334189568 29136622671 29472408576 30695372032 31049121792 31875963264 32243318784 34532293536 34930262016 35860458672 36273733632 37778919424 38848830228 39296544768 40343016006 42501284352 42991091712 44208612864 46043058048 46573682688 47813944896 48364978176 51798440304 52395393024 53790688008 54410600448 56668379136 58273245342 58944817152 61390744064 62098243584 63751926528 64486637568 69064587072 69860524032 71720917344 72547467264 75557838848 77697660456 78593089536 80686032012 85002568704 87409868013 88417225728 92086116096 93147365376 95627889792 96729956352 103596880608 104790786048 107581376016 108821200896 113336758272 116546490684 117889634304 122781488128 127503853056 128973275136 138129174144 139721048064 143441834688 145094934528 151115677696 155395320912 157186179072 161372064024 170005137408 174819736026 176834451456 184172232192 186294730752 191255779584 193459912704 207193761216 209581572096 215162752032 217642401792 226673516544 233092981368 235779268608 245562976256 255007706112 262229604039 276258348288 279442096128 286883669376 290189869056 302231355392 310790641824 314372358144 322744128048 340010274816 349639472052 353668902912 368344464384 382511559168 386919825408 414387522432 419163144192 430325504064 435284803584 453347033088 466185962736 471558537216 491125952512 510015412224 524459208078 552516696576 558884192256 573767338752 580379738112 604462710784 621581283648 628744716288 645488256096 680020549632 699278944104 707337805824 736688928768 765023118336 828775044864 838326288384 860651008128 870569607168 906694066176 932371925472 943117074432 982251905024 1020030824448 1048918416156 1105033393152 1147534677504 1160759476224 1208925421568 1243162567296 1257489432576 1290976512192 1360041099264 1398557888208 1414675611648 1473377857536 1530046236672 1657550089728 1676652576768 1721302016256 1741139214336 1813388132352 1864743850944 1886234148864 1964503810048 2040061648896 2097836832312 2210066786304 2295069355008 2417850843136 2486325134592 2514978865152 2581953024384 2720082198528 2797115776416 2829351223296 2946755715072 3060092473344 3315100179456 3442604032512 3482278428672 3626776264704 3729487701888 3772468297728 3929007620096 4080123297792 4195673664624 4420133572608 4590138710016 4835701686272 4972650269184 5029957730304 5163906048768 5440164397056 5594231552832 5658702446592 5893511430144 6120184946688 6630200358912 6885208065024 7253552529408 7458975403776 7544936595456 7858015240192 8160246595584 8391347329248 8840267145216 9180277420032 9945300538368 10327812097536 10880328794112 11188463105664 11317404893184 11787022860288 12240369893376 13260400717824 13770416130048 14507105058816 14917950807552 15089873190912 15716030480384 16320493191168 16782694658496 17680534290432 18360554840064 19890601076736 20655624195072 21760657588224 22376926211328 22634809786368 23574045720576 24480739786752 26520801435648 27540832260096 29835901615104 31432060960768 32640986382336 33565389316992 35361068580864 36721109680128 39781202153472 41311248390144 43521315176448 44753852422656 45269619572736 47148091441152 48961479573504 53041602871296 55081664520192 59671803230208 62864121921536 65281972764672 67130778633984 70722137161728 73442219360256 79562404306944 82622496780288 89507704845312 94296182882304 97922959147008 106083205742592 110163329040384 119343606460416 130563945529344 134261557267968 141444274323456 146884438720512 159124808613888 165244993560576 179015409690624 188592365764608 195845918294016 212166411485184 220326658080768 238687212920832 268523114535936 282888548646912 293768877441024 318249617227776 330489987121152 358030819381248 391691836588032 424332822970368 440653316161536 477374425841664 537046229071872 565777097293824 587537754882048 636499234455552 660979974242304 716061638762496 848665645940736 881306632323072 954748851683328 1074092458143744 1175075509764096 1272998468911104 1321959948484608 1432123277524992 1697331291881472 1762613264646144 1909497703366656 2148184916287488 2545996937822208 2643919896969216 2864246555049984 3525226529292288 3818995406733312 4296369832574976 5091993875644416 5287839793938432 5728493110099968 7637990813466624 8592739665149952 10575679587876864 11456986220199936 15275981626933248 17185479330299904 22913972440399872 34370958660599808 45827944880799744 68741917321199616 137483834642399232
- Sum of all divisors σ(n): 444256700743548000
- Sum of proper divisors (its aliquot sum) s(n): 306772866101148768
- 137483834642399232 is an abundant number, because the sum of its proper divisors (306772866101148768) is greater than itself. Its abundance is 169289031458749536
Bases of 137483834642399232
- Binary: 1111010000111000011010001101101100011100000000000000000002
- Hexadecimal: 0x1E870D1B6380000
- Base-36: 11LPY9PMO000
Squares and roots of 137483834642399232
- 137483834642399232 squared (1374838346423992322) is 18901804787978575160707749274189824
- 137483834642399232 cubed (1374838346423992323) is 2598692603913356502162627039419268957493316359815168
-
The
square root of 137483834642399232 is 370788126.3503447623 -
The
cube root of 137483834642399232 is 516119.8300539983
Scales and comparisons
How big is 137483834642399232?- 137,483,834,642,399,232 seconds is equal to 4,371,560,676 years, 10 weeks, 4 days, 21 hours, 7 minutes, 12 seconds.
-
To count from 1 to 137,483,834,642,399,232 would take you about thirteen billion, one hundred fourteen million, six hundred eighty-two thousand and twenty-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 137483834642399232 cubic inches would be around 43010 feet tall.
Recreational maths with 137483834642399232
- 137483834642399232 backwards is 232993246438384731
- 137483834642399232 is a
Harshad number . - The number of decimal digits it has is: 18
- The sum of 137483834642399232's digits is 81
- 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 137483834642399232 - Facts about the integer". Numbermatics.com. 2024. Web. 26 May 2024.
APA style:
Numbermatics. (2024). Number 137483834642399232 - Facts about the integer. Retrieved 26 May 2024, from https://numbermatics.com/n/137483834642399232/
Chicago style:
Numbermatics. 2024. "Number 137483834642399232 - Facts about the integer". https://numbermatics.com/n/137483834642399232/
The information we have on file for 137483834642399232 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 137483834642399232, math, Factors of 137483834642399232, curriculum, school, college, exams, university, Prime factorization of 137483834642399232, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty-seven quadrillion, four hundred eighty-three trillion, eight hundred thirty-four billion, six hundred forty-two million, three hundred ninety-nine thousand, two hundred thirty-two.