137931428926368

Names of 137931428926368

• Cardinal: 137931428926368 can be written as One hundred thirty-seven trillion, nine hundred thirty-one billion, four hundred twenty-eight million, nine hundred twenty-six thousand, three hundred sixty-eight.

Scientific notation

• Scientific notation: 1.37931428926368 × 10¹⁴

Factors of 137931428926368

• Number of distinct prime factors ω(n): 7
• Total number of prime factors Ω(n): 12
• Sum of prime factors: 28078

Divisors of 137931428926368

• Number of divisors d(n): 576
• Complete list of divisors:
  1 2 3 4 6 7 8 9 11 12 14 16 18 21 22 24 28 32 33 36 42 44 48 56 63 66 72 77 83 84 88 96 99 112 126 132 144 154 166 168 176 198 224 231 249 252 264 288 308 332 336 352 396 462 498 504 528 581 616 664 672 693 747 792 913 924 996 1008 1056 1162 1232 1328 1386 1494 1584 1743 1826 1848 1992 2016 2324 2464 2656 2739 2772 2988 3001 3168 3486 3652 3696 3984 4648 5229 5478 5544 5976 6002 6391 6972 7304 7392 7968 8217 9003 9296 10458 10956 11088 11952 12004 12782 13944 14608 16434 18006 18592 19173 20916 21007 21912 22176 23904 24008 24971 25564 27009 27888 29216 32868 33011 36012 38346 41832 42014 43824 48016 49942 51128 54018 55776 57519 63021 65736 66022 72024 74913 76692 83664 84028 87648 96032 99033 99884 102256 108036 115038 126042 131472 132044 144048 149826 153384 167328 168056 174797 189063 198066 199768 204512 216072 224739 230076 231077 249083 252084 262944 264088 274681 288096 297099 299652 306768 336112 349594 378126 396132 399536 432144 449478 460152 462154 498166 504168 524391 528176 549362 594198 599304 613536 672224 693231 699188 747249 756252 792264 799072 824043 864288 898956 920304 924308 996332 1008336 1048782 1056352 1098724 1188396 1198608 1386462 1398376 1494498 1512504 1573173 1584528 1648086 1743581 1797912 1840608 1848616 1922767 1992664 2016672 2072593 2079693 2097564 2197448 2241747 2376792 2397216 2472129 2739913 2772924 2796752 2988996 3025008 3146346 3169056 3296172 3487162 3595824 3697232 3845534 3985328 4145186 4159386 4195128 4394896 4483494 4753584 4944258 5230743 5479826 5545848 5593504 5768301 5977992 6050016 6217779 6292692 6592344 6974324 7191648 7394464 7691068 7970656 8219739 8290372 8318772 8390256 8789792 8966988 9507168 9888516 10461486 10959652 11091696 11536602 11955984 12435558 12585384 13184688 13948648 14508151 15382136 15692229 16439478 16580744 16637544 16780512 17304903 17933976 18653337 19179391 19777032 20922972 21919304 22183392 22798523 23073204 23911968 24659217 24871116 25170768 26369376 27897296 29016302 30764272 31384458 32878956 33161488 33275088 34609806 35867952 37306674 38358782 39554064 41845944 43524453 43838608 45597046 46146408 49318434 49742232 50341536 55794592 57538173 58032604 61528544 62768916 65757912 66322976 66550176 68395569 69219612 71735904 74613348 74937971 76717564 79108128 83691888 87048906 87677216 91194092 92292816 98636868 99484464 115076346 116065208 125537832 130573359 131515824 136791138 138439224 149226696 149875942 153435128 159589661 167383776 172614519 174097812 182388184 184585632 197273736 198968928 205186707 224813913 230152692 232130416 251075664 261146718 263031648 273582276 276878448 298453392 299751884 306870256 319179322 345229038 348195624 364776368 394547472 410373414 449627826 460305384 464260832 478768983 502151328 522293436 524565797 547164552 553756896 596906784 599503768 613740512 638358644 674441739 690458076 696391248 729552736 789094944 820746828 824317681 899255652 920610768 957537966 1044586872 1049131594 1094329104 1199007536 1276717288 1348883478 1380916152 1392782496 1436306949 1573697391 1641493656 1648635362 1798511304 1841221536 1915075932 2089173744 2098263188 2188658208 2398015072 2472953043 2553434576 2697766956 2761832304 2872613898 3147394782 3282987312 3297270724 3597022608 3830151864 4178347488 4196526376 4721092173 4945906086 5106869152 5395533912 5523664608 5745227796 5770223767 6219851593 6294789564 6565974624 6594541448 7194045216 7418859129 7660303728 8393052752 9442184346 9891812172 10791067824 11490455592 11540447534 12439703186 12589579128 13189082896 14837718258 15320607456 16786105504 17310671301 18659554779 18884368692 19783624344 21582135648 22980911184 23080895068 24879406372 25179158256 26378165792 29675436516 34621342602 37319109558 37768737384 39567248688 43538961151 45961822368 46161790136 49758812744 50358316512 51932013903 55978664337 59350873032 68418367523 69242685204 74638219116 75537474768 79134497376 87077922302 92323580272 99517625488 103864027806 111957328674 118701746064 130616883453 136836735046 138485370408 149276438232 151074949536 174155844604 184647160544 199035250976 205255102569 207728055612 223914657348 237403492128 261233766906 273673470092 276970740816 298552876464 348311689208 391850650359 410510205138 415456111224 447829314696 478928572661 522467533812 547346940184 553941481632 597105752928 615765307707 696623378416 783701300718 821020410276 830912222448 895658629392 957857145322 1044935067624 1094693880368 1231530615414 1393246756832 1436785717983 1567402601436 1642040820552 1661824444896 1791317258784 1915714290644 2089870135248 2189387760736 2463061230828 2873571435966 3134805202872 3284081641104 3831428581288 4179740270496 4310357153949 4926122461656 5747142871932 6269610405744 6568163282208 7662857162576 8620714307898 9852244923312 11494285743864 12539220811488 15325714325152 17241428615796 19704489846624 22988571487728 34482857231592 45977142975456 68965714463184 137931428926368
• Sum of all divisors σ(n): 495106280008704
• Sum of proper divisors (its aliquot sum) s(n): 357174851082336
• 137931428926368 is an abundant number, because the sum of its proper divisors (357174851082336) is greater than itself. Its abundance is 219243422155968

Bases of 137931428926368

• Binary: 11111010111001010101001110100110001001110100000₂
• Hexadecimal: 0x7D72A9D313A0
• Base-36: 1CW4TNHYG0

Squares and roots of 137931428926368

• 137931428926368 squared (137931428926368²) is 19025079085669707045165671424
• 137931428926368 cubed (137931428926368³) is 2624156343723581491515036732107146177708032
• The square root of 137931428926368 is 11744421.1831136233
• The cube root of 137931428926368 is 51667.9318964621

Scales and comparisons

• 137,931,428,926,368 seconds is equal to 4,385,792 years, 41 weeks, 12 hours, 52 minutes, 48 seconds.
• To count from 1 to 137,931,428,926,368 would take you about ten million, nine hundred sixty-four thousand, four 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 137931428926368 cubic inches would be around 4305.7 feet tall.

Recreational maths with 137931428926368

• 137931428926368 backwards is 863629824139731
• 137931428926368 is a Harshad number.
• The number of decimal digits it has is: 15
• The sum of 137931428926368's digits is 72
• More coming soon!