137829694123264
137,829,694,123,264 is an even composite number composed of six prime numbers multiplied together.
137829694123264 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of nine hundred seventy-two divisors.
Prime factorization of 137829694123264:
28 × 112 × 132 × 29 × 89 × 1012
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 11 × 11 × 13 × 13 × 29 × 89 × 101 × 101)See below for interesting mathematical facts about the number 137829694123264 from the Numbermatics database.
Names of 137829694123264
- Cardinal: 137829694123264 can be written as One hundred thirty-seven trillion, eight hundred twenty-nine billion, six hundred ninety-four million, one hundred twenty-three thousand, two hundred sixty-four.
Scientific notation
- Scientific notation: 1.37829694123264 × 1014
Factors of 137829694123264
Divisors of 137829694123264
- Number of divisors d(n): 972
-
Complete list of divisors:
1 2 4 8 11 13 16 22 26 29 32 44 52 58 64 88 89 101 104 116 121 128 143 169 176 178 202 208 232 242 256 286 319 338 352 356 377 404 416 464 484 572 638 676 704 712 754 808 832 928 968 979 1111 1144 1157 1276 1313 1352 1408 1424 1508 1573 1616 1664 1856 1859 1936 1958 2222 2288 2314 2552 2581 2626 2704 2816 2848 2929 3016 3146 3232 3328 3509 3712 3718 3872 3916 4147 4444 4576 4628 4901 5104 5162 5252 5408 5696 5858 6032 6292 6464 7018 7424 7436 7744 7832 8294 8888 8989 9152 9256 9802 10201 10208 10324 10504 10769 10816 11392 11716 12064 12221 12584 12727 12928 14036 14443 14872 15041 15488 15664 16588 17069 17776 17978 18304 18512 19604 20402 20416 20449 20648 21008 21538 21632 22784 23432 24128 24442 25168 25454 25856 28072 28391 28886 29744 30082 30976 31328 32219 33176 33553 34138 35552 35956 36608 37024 38077 39208 40804 40832 40898 41296 42016 43076 43264 45617 46864 48256 48884 50336 50908 53911 56144 56782 57772 59488 60164 62656 64438 66352 67106 68276 71104 71912 74048 76154 78416 81608 81664 81796 82592 84032 86152 91234 93728 96512 97768 98879 100672 101816 107822 112211 112288 113564 115544 116857 118976 120328 125312 128876 132613 132704 134212 136552 139997 142208 143824 148096 152308 156832 158873 163216 163592 165184 165451 168064 172304 182468 187456 187759 195536 197758 201344 203632 215644 224422 224576 227128 231088 233714 237952 240656 250624 257752 260681 265226 265408 268424 273104 279994 284416 287648 295829 296192 304616 312301 313664 317746 326432 327184 330368 330902 336128 344608 354409 364936 369083 374912 375518 391072 395516 402688 407264 418847 431288 436189 448844 449152 454256 462176 467428 475904 481312 495001 515504 521362 530452 530816 536848 546208 559988 575296 591658 593021 609232 624602 627328 635492 652864 654368 660736 661804 689216 708818 729872 738166 749824 751036 782144 791032 814528 837694 862576 872378 897688 898304 907889 908512 924352 934856 962624 990002 1031008 1042724 1060904 1061632 1073696 1087669 1092416 1119976 1150592 1183316 1186042 1218464 1234321 1249204 1254656 1270984 1285427 1305728 1308736 1323608 1378432 1417636 1458743 1459744 1476332 1502072 1519141 1564288 1582064 1629056 1675388 1723969 1725152 1744756 1795376 1815778 1817024 1819961 1848704 1869712 1925248 1980004 2062016 2065349 2085448 2121808 2147392 2175338 2184832 2239952 2301184 2366632 2372084 2436928 2468642 2498408 2541968 2570854 2611456 2617472 2647216 2756864 2835272 2867491 2917486 2919488 2952664 3004144 3038282 3128576 3164128 3254119 3258112 3350776 3388853 3447938 3450304 3489512 3590752 3631556 3634048 3639922 3697408 3739424 3845777 3850496 3960008 4059913 4124032 4130698 4170896 4243616 4294784 4350676 4369664 4479904 4607317 4733264 4744168 4798079 4873856 4937284 4996816 5083936 5141708 5234944 5294432 5445011 5670544 5734982 5834972 5838976 5905328 6008288 6076564 6328256 6508238 6701552 6777706 6895876 6900608 6979024 7181504 7263112 7268096 7279844 7478848 7691554 7920016 8119826 8248064 8261396 8341792 8487232 8589568 8701352 8959808 9214634 9466528 9488336 9596158 9747712 9874568 9986779 9993632 10167872 10283416 10588864 10890022 11341088 11469964 11669944 11677952 11802557 11810656 12016576 12153128 12656512 13016476 13403104 13555412 13791752 13801216 13958048 14139697 14363008 14526224 14559688 14957696 15383108 15840032 16046173 16239652 16522792 16683584 16710551 16974464 17402704 17919616 18429268 18933056 18963659 18976672 19192316 19749136 19973558 19987264 20335744 20566832 21177728 21780044 22682176 22939928 23339888 23605114 23621312 24033152 24306256 25313024 26032952 26328781 26806208 27110824 27583504 27916096 28279394 28726016 29052448 29119376 29915392 30766216 31542401 31680064 32092346 32479304 33045584 33367168 33421102 33948928 34805408 35795309 35839232 36858536 37277383 37866112 37927318 37953344 38384632 39498272 39947116 39974528 40671488 41133664 42303547 42355456 43560088 44055089 45364352 45879856 46679776 47210228 47242624 48066304 48612512 49995101 52065904 52657562 52778869 53612416 54221648 55167008 55832192 56558788 58104896 58238752 59895121 61532432 63084802 63360128 64184692 64958608 66091168 66734336 66842204 69610816 71590618 73717072 74554766 75732224 75854636 75906688 76769264 78996544 79894232 79949056 82267328 84607094 87120176 88110178 90728704 91759712 93359552 94420456 94485248 97225024 99990202 104131808 105315124 105557738 107224832 108443296 109854569 110334016 111664384 113117576 116209792 116477504 119790242 123064864 126169604 126720256 128369384 129828127 129917216 132182336 133684408 139221632 143181236 147434144 149109532 151709272 151813376 153433241 153538528 157993088 159788464 164534656 169214188 174240352 176220356 183519424 183816061 186719104 188840912 194450048 199980404 208263616 208600249 210630248 211115476 216886592 219709138 220668032 226235152 232419584 232955008 239580484 246129728 252339208 256738768 259656254 259834432 264364672 267368816 278443264 286362472 289616591 294868288 298219064 303418544 306866482 307077056 315986176 319576928 329069312 338428376 342274153 348480704 352440712 367038848 367632122 373438208 377681824 388900096 399960808 410051213 416527232 417200498 421260496 422230952 433773184 439418276 441336064 452470304 465339017 465910016 479160968 484605979 492259456 504678416 513477536 519312508 519668864 528729344 534737632 549946111 572724944 579233182 589736576 596438128 606837088 613732964 614154112 639153856 676856752 684548306 696961408 704881424 734077696 735264244 755363648 799921616 820102426 833054464 834400996 842520992 844461904 867546368 878836552 904940608 930678034 958321936 969211958 984518912 1009356832 1026955072 1038625016 1039337728 1069475264 1099892222 1145449888 1158466364 1179473152 1192876256 1213674176 1227465928 1228308224 1278307712 1353713504 1369096612 1393922816 1409762848 1428109397 1470528488 1510727296 1599843232 1640204852 1668801992 1685041984 1687765651 1688923808 1757673104 1809881216 1861356068 1916643872 1938423916 2018713664 2053910144 2077250032 2138950528 2199784444 2290899776 2316932728 2385752512 2427348352 2454931856 2556615424 2707427008 2738193224 2819525696 2856218794 2941056976 3021454592 3185782501 3199686464 3280409704 3337603984 3370083968 3375531302 3377847616 3515346208 3619762432 3722712136 3765015683 3833287744 3876847832 4037427328 4107820288 4154500064 4277901056 4399568888 4449563989 4581799552 4633865456 4771505024 4854696704 4909863712 5330665769 5414854016 5476386448 5639051392 5712437588 5882113952 6049407221 6371565002 6399372928 6560819408 6675207968 6740167936 6751062604 6755695232 7030692416 7445424272 7530031366 7666575488 7753695664 8074854656 8309000128 8799137776 8899127978 9163599104 9267730912 9543010048 9819727424 10661331538 10829708032 10952772896 11278102784 11424875176 11764227904 12098814442 12743130004 12798745856 13121638816 13350415936 13502125208 13511390464 14061384832 14890848544 15060062732 15333150976 15507391328 16618000256 17598275552 17798255956 18535461824 18565422161 19639454848 21322663076 21905545792 22849750352 23528455808 24197628884 25486260008 26243277632 26700831872 27004250416 28122769664 29781697088 30120125464 31014782656 33236000512 35196551104 35596511912 37070923648 37130844322 39278909696 41415172513 42645326152 43811091584 45699500704 47056911616 48395257768 48945203879 50972520016 52486555264 53401663744 54008500832 59563394176 60240250928 62029565312 70393102208 71193023824 74141847296 74261688644 82830345026 85290652304 87622183168 91399001408 96790515536 97890407758 101945040032 104973110528 108017001664 119126788352 120480501856 124059130624 140786204416 142386047648 148523377288 165660690052 170581304608 182798002816 193581031072 195780815516 203890080064 216034003328 240961003712 284772095296 297046754576 331321380104 341162609216 365596005632 387162062144 391561631032 407780160128 432068006656 481922007424 538397242669 569544190592 594093509152 662642760208 682325218432 774324124288 783123262064 815560320256 963844014848 1076794485338 1139088381184 1188187018304 1325285520416 1364650436864 1548648248576 1566246524128 2153588970676 2376374036608 2650571040832 3132493048256 4307177941352 4752748073216 5301142081664 6264986096512 8614355882704 10602284163328 12529972193024 17228711765408 34457423530816 68914847061632 137829694123264
- Sum of all divisors σ(n): 345980080044900
- Sum of proper divisors (its aliquot sum) s(n): 208150385921636
- 137829694123264 is an abundant number, because the sum of its proper divisors (208150385921636) is greater than itself. Its abundance is 70320691798372
Bases of 137829694123264
- Binary: 111110101011010111110011111010100101101000000002
- Hexadecimal: 0x7D5AF9F52D00
- Base-36: 1CUU3581Z4
Squares and roots of 137829694123264
- 137829694123264 squared (1378296941232642) is 18997024582112514817626013696
- 137829694123264 cubed (1378296941232643) is 2618354087404695028973376300639341976223744
-
The
square root of 137829694123264 is 11740089.1871937669 -
The
cube root of 137829694123264 is 51655.2257767479
Scales and comparisons
How big is 137829694123264?- 137,829,694,123,264 seconds is equal to 4,382,557 years, 48 weeks, 5 days, 9 hours, 21 minutes, 4 seconds.
-
To count from 1 to 137,829,694,123,264 would take you about ten million, nine hundred fifty-six thousand, three hundred ninety-four 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 137829694123264 cubic inches would be around 4304.6 feet tall.
Recreational maths with 137829694123264
- 137829694123264 backwards is 462321496928731
- The number of decimal digits it has is: 15
- The sum of 137829694123264's digits is 67
- More coming soon!
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The information we have on file for 137829694123264 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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