137728752033792
137,728,752,033,792 is an even composite number composed of six prime numbers multiplied together.
137728752033792 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of eight hundred ninety-six divisors.
Prime factorization of 137728752033792:
213 × 3 × 31 × 373 × 43 × 83
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 31 × 37 × 37 × 37 × 43 × 83)See below for interesting mathematical facts about the number 137728752033792 from the Numbermatics database.
Names of 137728752033792
- Cardinal: 137728752033792 can be written as One hundred thirty-seven trillion, seven hundred twenty-eight billion, seven hundred fifty-two million, thirty-three thousand, seven hundred ninety-two.
Scientific notation
- Scientific notation: 1.37728752033792 × 1014
Factors of 137728752033792
Divisors of 137728752033792
- Number of divisors d(n): 896
-
Complete list of divisors:
1 2 3 4 6 8 12 16 24 31 32 37 43 48 62 64 74 83 86 93 96 111 124 128 129 148 166 172 186 192 222 248 249 256 258 296 332 344 372 384 444 496 498 512 516 592 664 688 744 768 888 992 996 1024 1032 1147 1184 1328 1333 1369 1376 1488 1536 1591 1776 1984 1992 2048 2064 2294 2368 2573 2656 2666 2738 2752 2976 3071 3072 3182 3441 3552 3569 3968 3984 3999 4096 4107 4128 4588 4736 4773 5146 5312 5332 5476 5504 5952 6142 6144 6364 6882 7104 7138 7719 7936 7968 7998 8192 8214 8256 9176 9213 9472 9546 10292 10624 10664 10707 10952 11008 11904 12284 12288 12728 13764 14208 14276 15438 15872 15936 15996 16428 16512 18352 18426 18944 19092 20584 21248 21328 21414 21904 22016 23808 24568 24576 25456 27528 28416 28552 30876 31744 31872 31992 32856 33024 36704 36852 37888 38184 41168 42439 42496 42656 42828 43808 44032 47616 49136 49321 50653 50912 55056 56832 57104 58867 61752 63488 63744 63984 65712 66048 73408 73704 75776 76368 82336 84878 84992 85312 85656 87616 88064 95201 95232 98272 98642 101306 101824 110112 110639 113627 113664 114208 117734 123504 126976 127317 127488 127968 131424 132053 132096 146816 147408 147963 151552 151959 152736 164672 169756 169984 170624 171312 175232 176128 176601 190402 190464 196544 197284 202612 203648 220224 221278 227254 227328 228416 235468 247008 253952 254634 254976 255936 262848 264106 264192 285603 293632 294816 295926 303104 303918 305472 329344 331917 339512 339968 340881 341248 342624 350464 352256 353202 380804 380928 393088 394568 396159 405224 407296 440448 442556 454508 454656 456832 470936 494016 509268 509952 511872 525696 528212 528384 571206 587264 589632 591852 607836 610944 658688 663834 679024 679936 681762 682496 685248 700928 706404 761608 761856 786176 789136 792318 810448 814592 880896 885112 909016 909312 913664 941872 988032 1018536 1019904 1023744 1051392 1056424 1056768 1142412 1174528 1179264 1183704 1215672 1221888 1317376 1327668 1358048 1363524 1364992 1370496 1401856 1412808 1523216 1570243 1572352 1578272 1584636 1620896 1629184 1761792 1770224 1818032 1824877 1827328 1883744 1976064 2037072 2039808 2047488 2102784 2112848 2178079 2284824 2349056 2358528 2367408 2431344 2443776 2634752 2655336 2716096 2727048 2729984 2740992 2803712 2825616 3046432 3140486 3144704 3156544 3169272 3241792 3258368 3522437 3523584 3540448 3636064 3649754 3654656 3767488 3952128 4074144 4093643 4094976 4204199 4205568 4225696 4356158 4569648 4698112 4710729 4717056 4734816 4862688 4885961 4887552 5269504 5310672 5432192 5454096 5459968 5474631 5481984 5607424 5651232 6092864 6280972 6289408 6313088 6338544 6483584 6516736 6534237 7044874 7047168 7080896 7272128 7299508 7309312 7534976 7904256 8148288 8187286 8189952 8408398 8411136 8451392 8712316 9139296 9396224 9421458 9434112 9469632 9725376 9771922 9775104 10539008 10567311 10621344 10864384 10908192 10919936 10949262 10963968 11214848 11302464 12185728 12280929 12561944 12578816 12612597 12626176 12677088 12967168 13033472 13068474 14089748 14094336 14161792 14544256 14599016 14618624 14657883 15069952 15808512 16296576 16374572 16379904 16816796 16822272 16902784 17424632 18278592 18842916 18868224 18939264 19450752 19543844 19550208 21078016 21134622 21242688 21728768 21816384 21898524 21927936 22604928 24371456 24561858 25123888 25157632 25225194 25252352 25354176 25934336 26136948 28179496 28188672 28323584 29088512 29198032 29237248 29315766 30139904 31617024 32593152 32749144 32759808 33633592 33644544 33805568 34849264 36557184 37685832 37736448 37878528 38901504 39087688 39100416 42269244 42485376 43457536 43632768 43797048 43855872 45209856 48742912 49123716 50247776 50450388 50504704 50708352 51868672 52273896 56358992 56647168 58177024 58396064 58631532 60279808 63234048 65186304 65498288 67267184 67520449 67611136 69698528 73114368 75371664 75472896 75757056 77803008 78175376 84538488 84970752 86915072 87265536 87594096 87711744 90419712 97485824 98247432 100495552 100900776 101009408 101416704 103737344 104547792 112717984 113294336 116354048 116792128 117263064 120559616 130330169 130372608 130996576 134534368 135040898 135222272 139397056 146228736 150743328 151464791 151514112 155606016 156350752 169076976 169941504 173830144 174531072 175188192 180780557 180839424 194971648 196494864 200991104 201801552 202018816 202561347 202833408 207474688 209095584 225435968 226588672 232708096 233584256 234526128 241119232 260660338 260745216 261993152 269068736 270081796 270444544 278794112 292457472 301486656 302929582 303028224 311212032 312701504 338153952 339883008 347660288 349062144 350376384 361561114 361678848 389943296 390990507 392989728 401982208 403603104 404037632 405122694 405666816 414949376 418191168 450871936 453177344 454394373 465416192 467168512 469052256 482238464 521320676 521490432 523986304 538137472 540163592 540889088 542341671 557588224 584914944 602973312 605859164 606056448 622424064 625403008 676307904 679766016 698124288 700752768 723122228 723357696 779886592 781981014 785979456 803964416 807206208 810245388 811333632 836382336 901743872 906354688 908788746 930832384 934337024 938104512 1042641352 1042980864 1047972608 1076274944 1080327184 1081778176 1084683342 1115176448 1169829888 1205946624 1211718328 1212112896 1244848128 1250806016 1352615808 1359532032 1396248576 1401505536 1446244456 1446715392 1563962028 1571958912 1607928832 1614412416 1620490776 1622667264 1672764672 1803487744 1817577492 1868674048 1876209024 2085282704 2095945216 2152549888 2160654368 2169366684 2230352896 2339659776 2411893248 2423436656 2501612032 2705231616 2719064064 2792497152 2803011072 2892488912 3127924056 3143917824 3215857664 3228824832 3240981552 3245334528 3345529344 3606975488 3635154984 3737348096 3752418048 4170565408 4191890432 4305099776 4321308736 4338733368 4460705792 4823786496 4846873312 5003224064 5410463232 5604197267 5606022144 5784977824 6255848112 6287835648 6431715328 6457649664 6481963104 6691058688 7213950976 7270309968 7474696192 7504836096 8341130816 8383780864 8610199552 8642617472 8677466736 8921411584 9647572992 9693746624 10006448128 10820926464 11208394534 11212044288 11569955648 12511696224 12575671296 12863430656 12915299328 12963926208 13382117376 14427901952 14540619936 14949392384 15009672192 16682261632 16767561728 16812591801 17220399104 17285234944 17354933472 17842823168 19295145984 19387493248 20012896256 21641852928 22416789068 22424088576 23139911296 25023392448 25151342592 25830598656 25927852416 26764234752 28855803904 29081239872 30019344384 33364523264 33535123456 33625183602 34440798208 34570469888 34709866944 38590291968 38774986496 40025792512 43283705856 44833578136 44848177152 46279822592 50046784896 50302685184 51661197312 51855704832 53528469504 58162479744 60038688768 66729046528 67250367204 69140939776 69419733888 77549972992 86567411712 89667156272 92559645184 100093569792 100605370368 103322394624 103711409664 116324959488 120077377536 133458093056 134500734408 138281879552 138839467776 155099945984 179334312544 185119290368 200187139584 207422819328 232649918976 266916186112 269001468816 276563759104 277678935552 310199891968 358668625088 370238580736 400374279168 414845638656 465299837952 533832372224 538002937632 553127518208 555357871104 620399783936 717337250176 740477161472 800748558336 829691277312 930599675904 1067664744448 1076005875264 1110715742208 1240799567872 1434674500352 1480954322944 1601497116672 1659382554624 1861199351808 2152011750528 2221431484416 2869349000704 3202994233344 3722398703616 4304023501056 4442862968832 5738698001408 8608047002112 11477396002816 17216094004224 22954792005632 34432188008448 45909584011264 68864376016896 137728752033792
- Sum of all divisors σ(n): 403496272650240
- Sum of proper divisors (its aliquot sum) s(n): 265767520616448
- 137728752033792 is an abundant number, because the sum of its proper divisors (265767520616448) is greater than itself. Its abundance is 128038768582656
Bases of 137728752033792
- Binary: 111110101000011011110010101011100100000000000002
- Hexadecimal: 0x7D4379572000
- Base-36: 1CTJPQWR9C
Squares and roots of 137728752033792
- 137728752033792 squared (1377287520337922) is 18969209136785763976309899264
- 137728752033792 cubed (1377287520337923) is 2612605501477508078973984527163902643929088
-
The
square root of 137728752033792 is 11735789.3656026393 -
The
cube root of 137728752033792 is 51642.6124815871
Scales and comparisons
How big is 137728752033792?- 137,728,752,033,792 seconds is equal to 4,379,348 years, 15 weeks, 1 day, 4 hours, 3 minutes, 12 seconds.
-
To count from 1 to 137,728,752,033,792 would take you about ten million, nine hundred forty-eight thousand, three hundred seventy 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 137728752033792 cubic inches would be around 4303.6 feet tall.
Recreational maths with 137728752033792
- 137728752033792 backwards is 297330257827731
- The number of decimal digits it has is: 15
- The sum of 137728752033792's digits is 66
- More coming soon!
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"Number 137728752033792 - Facts about the integer". Numbermatics.com. 2024. Web. 9 June 2024.
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Numbermatics. (2024). Number 137728752033792 - Facts about the integer. Retrieved 9 June 2024, from https://numbermatics.com/n/137728752033792/
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The information we have on file for 137728752033792 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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