137420680992768
137,420,680,992,768 is an even composite number composed of six prime numbers multiplied together.
137420680992768 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of seven hundred sixty-eight divisors.
Prime factorization of 137420680992768:
211 × 33 × 19 × 37 × 181 × 19531
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 19 × 37 × 181 × 19531)See below for interesting mathematical facts about the number 137420680992768 from the Numbermatics database.
Names of 137420680992768
- Cardinal: 137420680992768 can be written as One hundred thirty-seven trillion, four hundred twenty billion, six hundred eighty million, nine hundred ninety-two thousand, seven hundred sixty-eight.
Scientific notation
- Scientific notation: 1.37420680992768 × 1014
Factors of 137420680992768
Divisors of 137420680992768
- Number of divisors d(n): 768
-
Complete list of divisors:
1 2 3 4 6 8 9 12 16 18 19 24 27 32 36 37 38 48 54 57 64 72 74 76 96 108 111 114 128 144 148 152 171 181 192 216 222 228 256 288 296 304 333 342 362 384 432 444 456 512 513 543 576 592 608 666 684 703 724 768 864 888 912 999 1024 1026 1086 1152 1184 1216 1332 1368 1406 1448 1536 1629 1728 1776 1824 1998 2048 2052 2109 2172 2304 2368 2432 2664 2736 2812 2896 3072 3258 3439 3456 3552 3648 3996 4104 4218 4344 4608 4736 4864 4887 5328 5472 5624 5792 6144 6327 6516 6697 6878 6912 7104 7296 7992 8208 8436 8688 9216 9472 9728 9774 10317 10656 10944 11248 11584 12654 13032 13394 13756 13824 14208 14592 15984 16416 16872 17376 18432 18944 18981 19456 19531 19548 20091 20634 21312 21888 22496 23168 25308 26064 26788 27512 27648 28416 29184 30951 31968 32832 33744 34752 37888 37962 38912 39062 39096 40182 41268 42624 43776 44992 46336 50616 52128 53576 55024 55296 56832 58368 58593 60273 61902 63936 65664 67488 69504 75776 75924 78124 78192 80364 82536 85248 87552 89984 92672 92853 101232 104256 107152 110048 113664 116736 117186 120546 123804 127243 127872 131328 134976 139008 151848 156248 156384 160728 165072 170496 175104 175779 179968 180819 185344 185706 202464 208512 214304 220096 227328 234372 241092 247608 254486 255744 262656 269952 278016 303696 312496 312768 321456 330144 340992 350208 351558 359936 361638 370688 371089 371412 381729 404928 417024 428608 440192 468744 482184 495216 508972 511488 525312 527337 539904 556032 607392 624992 625536 642912 660288 681984 703116 719872 722647 723276 742178 742824 763458 809856 834048 857216 880384 937488 964368 990432 1017944 1022976 1050624 1054674 1079808 1112064 1113267 1145187 1214784 1249984 1251072 1285824 1320576 1406232 1439744 1445294 1446552 1484356 1485648 1526916 1619712 1668096 1714432 1760768 1874976 1928736 1980864 2035888 2045952 2109348 2159616 2167941 2226534 2290374 2429568 2499968 2502144 2571648 2641152 2812464 2890588 2893104 2968712 2971296 3053832 3239424 3336192 3339801 3428864 3435561 3521536 3535111 3749952 3857472 3961728 4071776 4218696 4319232 4335882 4453068 4580748 4859136 4999936 5004288 5143296 5282304 5624928 5781176 5786208 5937424 5942592 6107664 6478848 6503823 6679602 6857728 6871122 7043072 7070222 7499904 7714944 7923456 8143552 8437392 8671764 8906136 9161496 9718272 9999872 10008576 10019403 10286592 10564608 10605333 11249856 11562352 11572416 11874848 11885184 12215328 12957696 13007646 13359204 13715456 13730293 13742244 14140444 14999808 15429888 15846912 16287104 16874784 17343528 17812272 18322992 19436544 19511469 19999744 20038806 20573184 21129216 21210666 22499712 23124704 23144832 23749696 23770368 24430656 26015292 26718408 27460586 27484488 28280888 29999616 30859776 31693824 31815999 32574208 33749568 34687056 35624544 36645984 38873088 39022938 39999488 40077612 41146368 41190879 42421332 44999424 46249408 46289664 47499392 47540736 48861312 52030584 53436816 54921172 54968976 56561776 59999232 61719552 63387648 63631998 65148416 67167109 67499136 69374112 71249088 73291968 78045876 80155224 82381758 84842664 89998848 92498816 92579328 94998784 95081472 95447997 97722624 104061168 106873632 109842344 109937952 113123552 119998464 123439104 123572637 127263996 130296832 130799107 134334218 134998272 138748224 142498176 146583936 156091752 160310448 164763516 169685328 179997696 184997632 185158656 189997568 190162944 190895994 195445248 201501327 208122336 213747264 219684688 219875904 226247104 247145274 254527992 260593664 261598214 268668436 269996544 277496448 284996352 293167872 312183504 320620896 329527032 339370656 359995392 369995264 370317312 370717911 379995136 381791988 390890496 392397321 403002654 416244672 427494528 439369376 439751808 452494208 494290548 509055984 523196428 537336872 539993088 554992896 569992704 586335744 604503981 624367008 641241792 659054064 678741312 739990528 741435822 759990272 763583976 781780992 784794642 806005308 832489344 854989056 878738752 879503616 904988416 988581096 1018111968 1046392856 1074673744 1079986176 1109985792 1139985408 1172671488 1177191963 1209007962 1248734016 1282483584 1318108128 1357482624 1479981056 1482871644 1527167952 1569589284 1612010616 1664978688 1709978112 1757477504 1759007232 1809976832 1813511943 1977162192 2036223936 2092785712 2149347488 2219971584 2279970816 2345342976 2354383926 2418015924 2485183033 2497468032 2564967168 2636216256 2714965248 2965743288 3054335904 3139178568 3224021232 3329957376 3419956224 3514955008 3518014464 3531575889 3619953664 3627023886 3954324384 4072447872 4185571424 4298694976 4439943168 4708767852 4836031848 4970366066 4994936064 5129934336 5272432512 5429930496 5931486576 6108671808 6278357136 6448042464 6659914752 6839912448 7029910016 7036028928 7063151778 7239907328 7254047772 7455549099 7908648768 8144895744 8371142848 8597389952 9417535704 9672063696 9940732132 9989872128 10259868672 10544865024 10859860992 11862973152 12217343616 12556714272 12896084928 13319829504 14059820032 14126303556 14508095544 14911098198 15817297536 16289791488 16742285696 17194779904 18835071408 19344127392 19881464264 19979744256 20519737344 21089730048 21719721984 22366647297 23725946304 24434687232 25113428544 25792169856 28119640064 28252607112 29016191088 29822196396 31634595072 32579582976 33484571392 34389559808 37670142816 38688254784 39762928528 39959488512 42179460096 44733294594 47451892608 48869374464 50226857088 51584339712 56505214224 58032382176 59644392792 63269190144 65159165952 66969142784 67099941891 68779119616 75340285632 77376509568 79525857056 84358920192 89466589188 94903785216 97738748928 100453714176 103168679424 113010428448 116064764352 119288785584 126538380288 133938285568 134199883782 137558239232 150680571264 154753019136 159051714112 178933178376 189807570432 195477497856 200907428352 206337358848 226020856896 232129528704 238577571168 253076760576 267876571136 268399767564 301361142528 309506038272 318103428224 357866356752 379615140864 401814856704 412674717696 452041713792 464259057408 477155142336 536799535128 602722285056 619012076544 636206856448 715732713504 759230281728 803629713408 904083427584 928518114816 954310284672 1073599070256 1205444570112 1238024153088 1272413712896 1431465427008 1808166855168 1857036229632 1908620569344 2147198140512 2410889140224 2544827425792 2862930854016 3616333710336 3714072459264 3817241138688 4294396281024 5089654851584 5725861708032 7232667420672 7634482277376 8588792562048 11451723416064 15268964554752 17177585124096 22903446832128 34355170248192 45806893664256 68710340496384 137420680992768
- Sum of all divisors σ(n): 442532930112000
- Sum of proper divisors (its aliquot sum) s(n): 305112249119232
- 137420680992768 is an abundant number, because the sum of its proper divisors (305112249119232) is greater than itself. Its abundance is 167691568126464
Bases of 137420680992768
- Binary: 111110011111011101111101110000000011000000000002
- Hexadecimal: 0x7CFBBEE01800
- Base-36: 1CPM6TD6O0
Squares and roots of 137420680992768
- 137420680992768 squared (1374206809927682) is 18884443564516108270068301824
- 137420680992768 cubed (1374206809927683) is 2595113094805298738083937458158488185208832
-
The
square root of 137420680992768 is 11722656.7378204843 -
The
cube root of 137420680992768 is 51604.0790839135
Scales and comparisons
How big is 137420680992768?- 137,420,680,992,768 seconds is equal to 4,369,552 years, 30 weeks, 3 days, 2 hours, 52 minutes, 48 seconds.
-
To count from 1 to 137,420,680,992,768 would take you about ten million, nine hundred twenty-three thousand, eight hundred eighty-one 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 137420680992768 cubic inches would be around 4300.3 feet tall.
Recreational maths with 137420680992768
- 137420680992768 backwards is 867299086024731
- 137420680992768 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 137420680992768's digits is 72
- More coming soon!
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The information we have on file for 137420680992768 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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