137055841468416
137,055,841,468,416 is an even composite number composed of four prime numbers multiplied together.
What does the number 137055841468416 look like?
This visualization shows the relationship between its 4 prime factors (large circles) and 960 divisors.
137055841468416 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 137055841468416:
214 × 37 × 133 × 1741
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 13 × 13 × 13 × 1741)See below for interesting mathematical facts about the number 137055841468416 from the Numbermatics database.
Names of 137055841468416
- Cardinal: 137055841468416 can be written as One hundred thirty-seven trillion, fifty-five billion, eight hundred forty-one million, four hundred sixty-eight thousand, four hundred sixteen.
Scientific notation
- Scientific notation: 1.37055841468416 × 1014
Factors of 137055841468416
Divisors of 137055841468416
- 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 96 104 108 117 128 144 156 162 169 192 208 216 234 243 256 288 312 324 338 351 384 416 432 468 486 507 512 576 624 648 676 702 729 768 832 864 936 972 1014 1024 1053 1152 1248 1296 1352 1404 1458 1521 1536 1664 1728 1741 1872 1944 2028 2048 2106 2187 2197 2304 2496 2592 2704 2808 2916 3042 3072 3159 3328 3456 3482 3744 3888 4056 4096 4212 4374 4394 4563 4608 4992 5184 5223 5408 5616 5832 6084 6144 6318 6591 6656 6912 6964 7488 7776 8112 8192 8424 8748 8788 9126 9216 9477 9984 10368 10446 10816 11232 11664 12168 12288 12636 13182 13312 13689 13824 13928 14976 15552 15669 16224 16384 16848 17496 17576 18252 18432 18954 19773 19968 20736 20892 21632 22464 22633 23328 24336 24576 25272 26364 26624 27378 27648 27856 28431 29952 31104 31338 32448 33696 34992 35152 36504 36864 37908 39546 39936 41067 41472 41784 43264 44928 45266 46656 47007 48672 49152 50544 52728 53248 54756 55296 55712 56862 59319 59904 62208 62676 64896 67392 67899 69984 70304 73008 73728 75816 79092 79872 82134 82944 83568 86528 89856 90532 93312 94014 97344 101088 105456 106496 109512 110592 111424 113724 118638 119808 123201 124416 125352 129792 134784 135798 139968 140608 141021 146016 147456 151632 158184 159744 164268 165888 167136 173056 177957 179712 181064 186624 188028 194688 202176 203697 210912 212992 219024 221184 222848 227448 237276 239616 246402 248832 250704 259584 269568 271596 279936 281216 282042 292032 294229 303264 316368 319488 328536 331776 334272 346112 355914 359424 362128 369603 373248 376056 389376 404352 407394 421824 423063 438048 442368 445696 454896 474552 479232 492804 497664 501408 519168 533871 539136 543192 559872 562432 564084 584064 588458 606528 611091 632736 638976 657072 663552 668544 692224 711828 718848 724256 739206 746496 752112 778752 808704 814788 843648 846126 876096 882687 891392 909792 949104 958464 985608 995328 1002816 1038336 1067742 1078272 1086384 1119744 1124864 1128168 1168128 1176916 1213056 1222182 1265472 1269189 1314144 1327104 1337088 1384448 1423656 1437696 1448512 1478412 1492992 1504224 1557504 1601613 1617408 1629576 1687296 1692252 1752192 1765374 1782784 1819584 1833273 1898208 1916928 1971216 1990656 2005632 2076672 2135484 2156544 2172768 2239488 2249728 2256336 2336256 2353832 2426112 2444364 2530944 2538378 2628288 2648061 2674176 2768896 2847312 2875392 2897024 2956824 2985984 3008448 3115008 3203226 3234816 3259152 3374592 3384504 3504384 3530748 3565568 3639168 3666546 3796416 3807567 3824977 3942432 3981312 4011264 4153344 4270968 4313088 4345536 4478976 4499456 4512672 4672512 4707664 4804839 4852224 4888728 5061888 5076756 5256576 5296122 5348352 5499819 5694624 5750784 5794048 5913648 5971968 6016896 6230016 6406452 6469632 6518304 6749184 6769008 7008768 7061496 7131136 7278336 7333092 7592832 7615134 7649954 7884864 7944183 8022528 8306688 8541936 8626176 8691072 8957952 8998912 9025344 9345024 9415328 9609678 9704448 9777456 10123776 10153512 10513152 10592244 10696704 10999638 11389248 11474931 11588096 11827296 11943936 12033792 12460032 12812904 12939264 13036608 13498368 13538016 14017536 14122992 14262272 14556672 14666184 15185664 15230268 15299908 15769728 15888366 16045056 16499457 17083872 17252352 17382144 17915904 17997824 18050688 18690048 18830656 19219356 19408896 19554912 20247552 20307024 21026304 21184488 21393408 21999276 22778496 22949862 23176192 23654592 23832549 24067584 24920064 25625808 25878528 26073216 26996736 27076032 28035072 28245984 28524544 29113344 29332368 30371328 30460536 30599816 31539456 31776732 32090112 32998914 34167744 34424793 34764288 35831808 35995648 36101376 37380096 37661312 38438712 38817792 39109824 40495104 40614048 42052608 42368976 42786816 43998552 45556992 45899724 46352384 47309184 47665098 48135168 49498371 51251616 51757056 52146432 53993472 54152064 56070144 56491968 58226688 58664736 60742656 60921072 61199632 63078912 63553464 64180224 65997828 68335488 68849586 69528576 71497647 72202752 74760192 75322624 76877424 77635584 78219648 80990208 81228096 84105216 84737952 85573632 87997104 91113984 91799448 92704768 94618368 95330196 96270336 98996742 102503232 103274379 104292864 107986944 108304128 112140288 112983936 116453376 117329472 121485312 121842144 122399264 126157824 127106928 128360448 131995656 136670976 137699172 139057152 142995294 144405504 150645248 153754848 155271168 156439296 161980416 162456192 168210432 169475904 175994208 182227968 183598896 185409536 189236736 190660392 192540672 197993484 205006464 206548758 208585728 214492941 216608256 224280576 225967872 232906752 234658944 242970624 243684288 244798528 252315648 254213856 256720896 263991312 273341952 275398344 278114304 285990588 288811008 301290496 307509696 309823137 312878592 323960832 324912384 336420864 338951808 351988416 364455936 367197792 370819072 378473472 381320784 385081344 395986968 410012928 413097516 417171456 428985882 433216512 451935744 465813504 469317888 485941248 487368576 489597056 504631296 508427712 527982624 546683904 550796688 556228608 571981176 577622016 602580992 615019392 619646274 625757184 643478823 649824768 672841728 677903616 703976832 728911872 734395584 756946944 762641568 770162688 791973936 820025856 826195032 834342912 857971764 866433024 903871488 929469411 938635776 971882496 974737152 979194112 1009262592 1016855424 1055965248 1093367808 1101593376 1112457216 1143962352 1155244032 1205161984 1230038784 1239292548 1251514368 1286957646 1299649536 1355807232 1407953664 1457823744 1468791168 1513893888 1525283136 1583947872 1640051712 1652390064 1668685824 1715943528 1732866048 1807742976 1858938822 1877271552 1949474304 1958388224 2018525184 2033710848 2111930496 2186735616 2203186752 2287924704 2310488064 2410323968 2460077568 2478585096 2503028736 2573915292 2599299072 2711614464 2788408233 2815907328 2915647488 2937582336 3027787776 3050566272 3167895744 3280103424 3304780128 3337371648 3431887056 3465732096 3615485952 3717877644 3754543104 3898948608 3916776448 4067421696 4223860992 4373471232 4406373504 4575849408 4820647936 4920155136 4957170192 5006057472 5147830584 5198598144 5423228928 5576816466 5631814656 5875164672 6055575552 6101132544 6335791488 6560206848 6609560256 6863774112 6931464192 7230971904 7435755288 7509086208 7797897216 7833552896 8134843392 8365224699 8447721984 8746942464 8812747008 9151698816 9840310272 9914340384 10012114944 10295661168 10397196288 10846457856 11153632932 11263629312 11750329344 12202265088 12671582976 13120413696 13219120512 13727548224 14461943808 14871510576 15018172416 15595794432 15667105792 16269686784 16730449398 16895443968 17625494016 18303397632 19680620544 19828680768 20591322336 20794392576 21692915712 22307265864 22527258624 23500658688 24404530176 25343165952 26240827392 26438241024 27455096448 29743021152 30036344832 31191588864 31334211584 32539373568 33460898796 33790887936 35250988032 36606795264 39361241088 39657361536 41182644672 43385831424 44614531728 45054517248 47001317376 48809060352 50686331904 52876482048 54910192896 59486042304 62383177728 62668423168 65078747136 66921797592 67581775872 70501976064 73213590528 78722482176 79314723072 82365289344 89229063456 90109034496 94002634752 97618120704 101372663808 105752964096 109820385792 118972084608 130157494272 133843595184 135163551744 141003952128 146427181056 158629446144 164730578688 178458126912 188005269504 195236241408 202745327616 211505928192 219640771584 237944169216 267687190368 270327103488 282007904256 292854362112 317258892288 329461157376 356916253824 390472482816 405490655232 423011856384 439281543168 475888338432 535374380736 564015808512 585708724224 634517784576 658922314752 713832507648 810981310464 846023712768 878563086336 951776676864 1070748761472 1171417448448 1269035569152 1317844629504 1427665015296 1692047425536 1757126172672 1903553353728 2141497522944 2538071138304 2635689259008 2855330030592 3514252345344 3807106707456 4282995045888 5076142276608 5271378518016 5710660061184 7614213414912 8565990091776 10542757036032 11421320122368 15228426829824 17131980183552 22842640244736 34263960367104 45685280489472 68527920734208 137055841468416
- Sum of all divisors σ(n): 445590201929600
- Sum of proper divisors (its aliquot sum) s(n): 308534360461184
- 137055841468416 is an abundant number, because the sum of its proper divisors (308534360461184) is greater than itself. Its abundance is 171478518992768
Bases of 137055841468416
- Binary: 111110010100110110011001011111011000000000000002
- Hexadecimal: 0x7CA6CCBEC000
- Base-36: 1CKYL1C000
Squares and roots of 137055841468416
- 137055841468416 squared (1370558414684162) is 18784303680615578855125549056
- 137055841468416 cubed (1370558414684163) is 2574498547345031950550276271459325282615296
-
The
square root of 137055841468416 is 11707085.0970007047 -
The
cube root of 137055841468416 is 51558.3705494503
Scales and comparisons
How big is 137055841468416?- 137,055,841,468,416 seconds is equal to 4,357,951 years, 42 weeks, 3 days, 10 hours, 33 minutes, 36 seconds.
-
To count from 1 to 137,055,841,468,416 would take you about ten million, eight hundred ninety-four thousand, eight hundred seventy-nine 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 137055841468416 cubic inches would be around 4296.5 feet tall.
Recreational maths with 137055841468416
- 137055841468416 backwards is 614864148550731
- The number of decimal digits it has is: 15
- The sum of 137055841468416's digits is 63
- More coming soon!
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The information we have on file for 137055841468416 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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