137328963452928
137,328,963,452,928 is an even composite number composed of five prime numbers multiplied together.
What does the number 137328963452928 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 1344 divisors.
137328963452928 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one thousand, three hundred forty-four divisors.
Prime factorization of 137328963452928:
215 × 36 × 13 × 47 × 972
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 3 × 13 × 47 × 97 × 97)See below for interesting mathematical facts about the number 137328963452928 from the Numbermatics database.
Names of 137328963452928
- Cardinal: 137328963452928 can be written as One hundred thirty-seven trillion, three hundred twenty-eight billion, nine hundred sixty-three million, four hundred fifty-two thousand, nine hundred twenty-eight.
Scientific notation
- Scientific notation: 1.37328963452928 × 1014
Factors of 137328963452928
Divisors of 137328963452928
- Number of divisors d(n): 1344
-
Complete list of divisors:
1 2 3 4 6 8 9 12 13 16 18 24 26 27 32 36 39 47 48 52 54 64 72 78 81 94 96 97 104 108 117 128 141 144 156 162 188 192 194 208 216 234 243 256 282 288 291 312 324 351 376 384 388 416 423 432 468 486 512 564 576 582 611 624 648 702 729 752 768 776 832 846 864 873 936 972 1024 1053 1128 1152 1164 1222 1248 1261 1269 1296 1404 1458 1504 1536 1552 1664 1692 1728 1746 1833 1872 1944 2048 2106 2256 2304 2328 2444 2496 2522 2538 2592 2619 2808 2916 3008 3072 3104 3159 3328 3384 3456 3492 3666 3744 3783 3807 3888 4096 4212 4512 4559 4608 4656 4888 4992 5044 5076 5184 5238 5499 5616 5832 6016 6144 6208 6318 6656 6768 6912 6984 7332 7488 7566 7614 7776 7857 8192 8424 9024 9118 9216 9312 9409 9477 9776 9984 10088 10152 10368 10476 10998 11232 11349 11421 11664 12032 12288 12416 12636 13312 13536 13677 13824 13968 14664 14976 15132 15228 15552 15714 16384 16497 16848 18048 18236 18432 18624 18818 18954 19552 19968 20176 20304 20736 20952 21996 22464 22698 22842 23328 23571 24064 24576 24832 25272 26624 27072 27354 27648 27936 28227 29328 29952 30264 30456 31104 31428 32768 32994 33696 34047 34263 36096 36472 36864 37248 37636 37908 39104 39936 40352 40608 41031 41472 41904 43992 44928 45396 45684 46656 47142 48128 49152 49491 49664 50544 53248 54144 54708 55296 55872 56454 58656 59267 59904 60528 60912 62208 62856 65988 67392 68094 68526 70713 72192 72944 73728 74496 75272 75816 78208 79872 80704 81216 82062 82944 83808 84681 87984 89856 90792 91368 93312 94284 96256 98304 98982 99328 101088 102141 106496 108288 109416 110592 111744 112908 117312 118534 119808 121056 121824 122317 123093 124416 125712 131976 134784 136188 137052 141426 144384 145888 147456 148473 148992 150544 151632 156416 159744 161408 162432 164124 165888 167616 169362 175968 177801 179712 181584 182736 186624 188568 192512 197964 198656 202176 204282 212992 216576 218832 221184 223488 225816 234624 237068 239616 242112 243648 244634 246186 248832 251424 254043 263952 269568 272376 274104 282852 288768 291776 294912 296946 297984 301088 303264 306423 312832 319488 322816 324864 328248 331776 335232 338724 351936 355602 359424 363168 365472 366951 369279 373248 377136 385024 395928 397312 404352 408564 425984 433152 437664 442223 442368 445419 446976 451632 469248 474136 479232 484224 487296 489268 492372 497664 502848 508086 527904 533403 539136 544752 548208 565704 577536 583552 593892 595968 602176 606528 612846 625664 638976 645632 649728 656496 663552 670464 677448 703872 711204 718848 726336 730944 733902 738558 746496 754272 762129 770048 791856 794624 808704 817128 866304 875328 884446 884736 890838 893952 903264 919269 938496 948272 958464 968448 974592 978536 984744 995328 1005696 1016172 1055808 1066806 1078272 1089504 1096416 1100853 1107837 1131408 1155072 1167104 1187784 1191936 1204352 1213056 1225692 1251328 1277952 1291264 1299456 1312992 1326669 1327104 1340928 1354896 1407744 1422408 1437696 1452672 1461888 1467804 1477116 1492992 1508544 1524258 1540096 1583712 1589248 1600209 1617408 1634256 1732608 1750656 1768892 1781676 1787904 1806528 1838538 1876992 1896544 1916928 1936896 1949184 1957072 1969488 1990656 2011392 2032344 2111616 2133612 2156544 2179008 2192832 2201706 2215674 2262816 2286387 2310144 2334208 2375568 2383872 2408704 2426112 2451384 2502656 2582528 2598912 2625984 2653338 2654208 2681856 2709792 2815488 2844816 2875392 2905344 2923776 2935608 2954232 2985984 3017088 3048516 3167424 3178496 3200418 3234816 3268512 3302559 3323511 3465216 3501312 3537784 3563352 3575808 3613056 3677076 3753984 3793088 3833856 3873792 3898368 3914144 3938976 3980007 3981312 4022784 4064688 4223232 4267224 4313088 4358016 4385664 4403412 4431348 4525632 4572774 4620288 4668416 4751136 4767744 4800627 4817408 4852224 4902768 5005312 5165056 5197824 5251968 5306676 5363712 5419584 5630976 5689632 5748899 5750784 5810688 5847552 5871216 5908464 5971968 6034176 6097032 6334848 6400836 6469632 6537024 6605118 6647022 6859161 6930432 7002624 7075568 7126704 7151616 7226112 7354152 7507968 7586176 7747584 7796736 7828288 7877952 7960014 7962624 8045568 8129376 8446464 8534448 8626176 8716032 8771328 8806824 8862696 9051264 9145548 9336832 9502272 9535488 9601254 9634816 9704448 9805536 9907677 10010624 10330112 10395648 10503936 10613352 10727424 10839168 11261952 11379264 11497798 11501568 11621376 11695104 11742432 11816928 11940021 11943936 12068352 12194064 12669696 12801672 12939264 13074048 13210236 13294044 13718322 13860864 14005248 14151136 14253408 14303232 14401881 14452224 14708304 15015936 15172352 15495168 15593472 15656576 15755904 15920028 16091136 16258752 16892928 17068896 17246697 17252352 17432064 17542656 17613648 17725392 18102528 18291096 18673664 19004544 19202508 19269632 19408896 19611072 19815354 20021248 20660224 20791296 21007872 21226704 21454848 21678336 22523904 22758528 22995596 23242752 23390208 23484864 23633856 23880042 23887872 24136704 24388128 25339392 25603344 25878528 26148096 26420472 26588088 27436644 28010496 28302272 28506816 28606464 28803762 28904448 29416608 29723031 30031872 30344704 30990336 31186944 31313152 31511808 31840056 32182272 32517504 33785856 34137792 34493394 34504704 34864128 35085312 35227296 35450784 35820063 36205056 36582192 37347328 38009088 38405016 38539264 38817792 39222144 39630708 41320448 41582592 42015744 42453408 42909696 43205643 43356672 45047808 45517056 45991192 46485504 46780416 46969728 47267712 47760084 48273408 48776256 50678784 51206688 51740091 51757056 52296192 52840944 53176176 54873288 56020992 56604544 57013632 57607524 57808896 58833216 59446062 60063744 60689408 61980672 62373888 62626304 63023616 63680112 64364544 65035008 67571712 68275584 68986788 69728256 70170624 70454592 70901568 71640126 72410112 73164384 74694656 76018176 76810032 77078528 77635584 78444288 79261416 84031488 84906816 85819392 86411286 86713344 89169093 90095616 91034112 91982384 92971008 93560832 93939456 94535424 95520168 96546816 97552512 101357568 102413376 103480182 103514112 104592384 105681888 106352352 107460189 109746576 112041984 113209088 114027264 115215048 115617792 117666432 118892124 121378816 123961344 124747776 125252608 126047232 127360224 128729088 130070016 135143424 136551168 137973576 139456512 140341248 140909184 141803136 143280252 144820224 146328768 149389312 152036352 153620064 154157056 155220273 155271168 156888576 158522832 168062976 169813632 172822572 173426688 178338186 180191232 182068224 183964768 185942016 187121664 187878912 189070848 191040336 193093632 195105024 202715136 204826752 206960364 209184768 211363776 212704704 214920378 219493152 224083968 226418176 228054528 230430096 231235584 235332864 237784248 242757632 250505216 252094464 254720448 257458176 260140032 270286848 273102336 275947152 278913024 280682496 281818368 283606272 286560504 289640448 292657536 304072704 307240128 308314112 310440546 310542336 313777152 317045664 322380567 336125952 339627264 345645144 346853376 356676372 364136448 367929536 371884032 374243328 375757824 378141696 382080672 386187264 390210048 405430272 409653504 413920728 418369536 422727552 425409408 429840756 438986304 448167936 452836352 456109056 460860192 462471168 465660819 470665728 475568496 485515264 501010432 504188928 509440896 520280064 540573696 546204672 551894304 557826048 561364992 563636736 567212544 573121008 579280896 585315072 608145408 614480256 620881092 627554304 634091328 644761134 672251904 679254528 691290288 693706752 713352744 728272896 735859072 751515648 756283392 764161344 772374528 780420096 810860544 819307008 827841456 836739072 845455104 850818816 859681512 877972608 905672704 912218112 921720384 924942336 931321638 941331456 951136992 971030528 1002020864 1008377856 1018881792 1040560128 1092409344 1103788608 1115652096 1122729984 1127273472 1134425088 1146242016 1158561792 1170630144 1216290816 1228960512 1241762184 1255108608 1268182656 1289522268 1344503808 1358509056 1382580576 1387413504 1396982457 1426705488 1456545792 1471718144 1503031296 1512566784 1528322688 1560840192 1621721088 1638614016 1655682912 1673478144 1690910208 1701637632 1719363024 1755945216 1811345408 1824436224 1843440768 1862643276 1882662912 1902273984 1942061056 2004041728 2016755712 2037763584 2081120256 2184818688 2207577216 2254546944 2268850176 2292484032 2317123584 2341260288 2432581632 2457921024 2483524368 2510217216 2536365312 2579044536 2717018112 2765161152 2774827008 2793964914 2853410976 2913091584 2943436288 3006062592 3025133568 3056645376 3121680384 3277228032 3311365824 3346956288 3381820416 3403275264 3438726048 3511890432 3622690816 3648872448 3686881536 3725286552 3765325824 3804547968 4008083456 4033511424 4075527168 4162240512 4190947371 4369637376 4415154432 4509093888 4537700352 4584968064 4682520576 4865163264 4915842048 4967048736 5020434432 5072730624 5158089072 5434036224 5530322304 5587929828 5706821952 5826183168 5886872576 6012125184 6050267136 6113290752 6243360768 6554456064 6622731648 6763640832 6806550528 6877452096 7023780864 7245381632 7297744896 7373763072 7450573104 7530651648 7609095936 8151054336 8324481024 8381894742 8739274752 8830308864 9018187776 9075400704 9169936128 9365041152 9831684096 9934097472 10040868864 10145461248 10316178144 10868072448 11060644608 11175859656 11413643904 11773745152 12024250368 12100534272 12226581504 12486721536 13108912128 13245463296 13527281664 13613101056 13754904192 14047561728 14490763264 14595489792 14747526144 14901146208 15061303296 15218191872 16302108672 16763789484 17478549504 17660617728 18036375552 18150801408 18339872256 18730082304 19663368192 19868194944 20290922496 20632356288 21736144896 22121289216 22351719312 22827287808 23547490304 24453163008 24973443072 26217824256 26490926592 27054563328 27226202112 27509808384 28095123456 29495052288 29802292416 30122606592 30436383744 32604217344 33527578968 35321235456 36072751104 36301602816 36679744512 37460164608 39326736384 39736389888 40581844992 41264712576 43472289792 44242578432 44703438624 45654575616 47094980608 48906326016 52435648512 52981853184 54109126656 54452404224 55019616768 56190246912 58990104576 59604584832 60872767488 65208434688 67055157936 70642470912 73359489024 74920329216 78653472768 79472779776 81163689984 82529425152 88485156864 89406877248 91309151232 94189961216 97812652032 105963706368 108218253312 108904808448 110039233536 112380493824 117980209152 119209169664 121745534976 130416869376 134110315872 141284941824 146718978048 157306945536 158945559552 162327379968 165058850304 176970313728 178813754496 182618302464 188379922432 195625304064 211927412736 220078467072 224760987648 235960418304 238418339328 243491069952 268220631744 282569883648 293437956096 317891119104 324654759936 330117700608 353940627456 357627508992 365236604928 391250608128 423854825472 440156934144 471920836608 476836678656 486982139904 536441263488 565139767296 586875912192 635782238208 660235401216 707881254912 715255017984 730473209856 847709650944 880313868288 953673357312 973964279808 1072882526976 1173751824384 1271564476416 1320470802432 1415762509824 1430510035968 1460946419712 1695419301888 1760627736576 1907346714624 2145765053952 2543128952832 2640941604864 2861020071936 2921892839424 3521255473152 3814693429248 4291530107904 5086257905664 5281883209728 5722040143872 7629386858496 8583060215808 10563766419456 11444080287744 15258773716992 17166120431616 22888160575488 34332240863232 45776321150976 68664481726464 137328963452928
- Sum of all divisors σ(n): 457621302287520
- Sum of proper divisors (its aliquot sum) s(n): 320292338834592
- 137328963452928 is an abundant number, because the sum of its proper divisors (320292338834592) is greater than itself. Its abundance is 182963375381664
Bases of 137328963452928
- Binary: 111110011100110011001000001010110000000000000002
- Hexadecimal: 0x7CE664158000
- Base-36: 1COG1Z4000
Squares and roots of 137328963452928
- 137328963452928 squared (1373289634529282) is 18859244203055634312471773184
- 137328963452928 cubed (1373289634529283) is 2589920457911271449840548916009143476682752
-
The
square root of 137328963452928 is 11718744.1073234465 -
The
cube root of 137328963452928 is 51592.5959686977
Scales and comparisons
How big is 137328963452928?- 137,328,963,452,928 seconds is equal to 4,366,636 years, 13 weeks, 12 hours, 28 minutes, 48 seconds.
-
To count from 1 to 137,328,963,452,928 would take you about ten million, nine hundred sixteen thousand, five hundred ninety 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 137328963452928 cubic inches would be around 4299.4 feet tall.
Recreational maths with 137328963452928
- 137328963452928 backwards is 829254369823731
- 137328963452928 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 137328963452928's digits is 72
- 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 137328963452928 - Facts about the integer". Numbermatics.com. 2024. Web. 11 May 2024.
APA style:
Numbermatics. (2024). Number 137328963452928 - Facts about the integer. Retrieved 11 May 2024, from https://numbermatics.com/n/137328963452928/
Chicago style:
Numbermatics. 2024. "Number 137328963452928 - Facts about the integer". https://numbermatics.com/n/137328963452928/
The information we have on file for 137328963452928 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 137328963452928, math, Factors of 137328963452928, curriculum, school, college, exams, university, Prime factorization of 137328963452928, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty-seven trillion, three hundred twenty-eight billion, nine hundred sixty-three million, four hundred fifty-two thousand, nine hundred twenty-eight.