146996935255040

Names of 146996935255040

• Cardinal: 146996935255040 can be written as One hundred forty-six trillion, nine hundred ninety-six billion, nine hundred thirty-five million, two hundred fifty-five thousand and forty.

Scientific notation

• Scientific notation: 1.4699693525504 × 10¹⁴

Factors of 146996935255040

• Number of distinct prime factors ω(n): 7
• Total number of prime factors Ω(n): 16
• Sum of prime factors: 896

Divisors of 146996935255040

• Number of divisors d(n): 704
• Complete list of divisors:
  1 2 4 5 8 10 13 16 20 26 32 40 52 64 65 80 104 128 130 160 181 197 208 241 256 257 260 320 362 394 416 482 512 514 520 640 724 788 832 905 964 985 1024 1028 1040 1205 1280 1285 1448 1576 1664 1810 1928 1970 2056 2080 2353 2410 2560 2561 2570 2896 3133 3152 3328 3341 3620 3856 3940 4112 4160 4706 4820 5120 5122 5140 5792 6266 6304 6656 6682 7240 7712 7880 8224 8320 9412 9640 10244 10280 11584 11765 12532 12608 12805 13312 13364 14480 15424 15665 15760 16448 16640 16705 18824 19280 20488 20560 23168 23530 25064 25216 25610 26728 28960 30848 31330 31520 32896 33280 33410 35657 37648 38560 40976 41120 43621 46336 46517 47060 47477 50128 50432 50629 51220 53456 57920 61696 61937 62660 63040 65792 66560 66820 71314 75296 77120 81952 82240 87242 92672 93034 94120 94954 100256 100864 101258 102440 106912 115840 123392 123874 125320 126080 131584 133640 142628 150592 154240 163904 164480 174484 178285 185344 186068 188240 189908 200512 201728 202516 204880 213824 218105 231680 232585 237385 246784 247748 250640 252160 253145 263168 267280 285256 301184 308480 309685 327808 328960 348968 356570 372136 376480 379816 401024 405032 409760 427648 436210 463360 463541 465170 474770 495496 501280 504320 506290 534560 567073 570512 602368 604721 616960 617201 619370 655616 657920 658177 697936 713140 744272 752960 759632 802048 805181 810064 819520 855296 872420 926720 927082 930340 949540 990992 1002560 1008640 1012580 1069120 1134146 1141024 1204736 1209442 1233920 1234402 1238740 1311232 1315840 1316354 1395872 1426280 1488544 1505920 1519264 1604096 1610362 1620128 1639040 1710592 1744840 1854164 1860680 1899080 1981984 2005120 2025160 2138240 2268292 2282048 2317705 2409472 2418884 2468804 2477480 2622464 2632708 2791744 2835365 2852560 2977088 3011840 3023605 3038528 3086005 3208192 3220724 3240256 3278080 3290885 3421184 3489680 3708328 3721360 3798160 3963968 4010240 4025905 4050320 4276480 4536584 4564096 4635410 4837768 4937608 4954960 5265416 5583488 5670730 5705120 5954176 6023680 6047210 6077056 6172010 6441448 6480512 6556160 6581770 6979360 7416656 7442720 7596320 7927936 8020480 8051810 8100640 8552960 8593337 9073168 9128192 9163849 9270820 9675536 9875216 9909920 10530832 11166976 11210597 11341460 11410240 11908352 12047360 12094420 12154112 12201589 12344020 12882896 12961024 13112320 13163540 13958720 14833312 14885440 15192640 15855872 16040960 16103620 16201280 17105920 17186674 18146336 18256384 18327698 18541640 19351072 19750432 19819840 21061664 22333952 22421194 22682920 22820480 23816704 24188840 24308224 24403178 24688040 25765792 25922048 26327080 27917440 29666624 29770880 30385280 31711744 32207240 32402560 34373348 36292672 36512768 36655396 37083280 38702144 39500864 39639680 42123328 42966685 44667904 44842388 45365840 45640960 45819245 47633408 48377680 48616448 48806356 49376080 51531584 51844096 52654160 55834880 56052985 59333248 59541760 60770560 61007945 63423488 64414480 64805120 68746696 72585344 73310792 74166560 77404288 79001728 79279360 84246656 85933370 89684776 90731680 91281920 91638490 96755360 97612712 98752160 103063168 105308320 111669760 111713381 112105970 118666496 119083520 119130037 121541120 122015890 128828960 129610240 137493392 145170688 145737761 146621584 148333120 154808576 158003456 158558720 158620657 168493312 171866740 179369552 181463360 182563840 183276980 193510720 195225424 197504320 206126336 210616640 223339520 223426762 224211940 237332992 238167040 238260074 243082240 244031780 257657920 259220480 274986784 290341376 291475522 293243168 296666240 309617152 316006912 317117440 317241314 336986624 343733480 358739104 362926720 366553960 387021440 390450848 395008640 412252672 421233280 446853524 448423880 474665984 476520148 488063560 515315840 549973568 558566905 580682752 582951044 586486336 593332480 595650185 619234304 632013824 634482628 673973248 687466960 717478208 725853440 728688805 733107920 774042880 780901696 790017280 793103285 824505344 842466560 893707048 896847760 953040296 976127120 1030631680 1099947136 1117133810 1165902088 1172972672 1186664960 1191300370 1268965256 1374933920 1434956416 1451706880 1457377610 1466215840 1548085760 1561803392 1580034560 1586206570 1684933120 1787414096 1793695520 1906080592 1952254240 2061263360 2199894272 2208487609 2234267620 2331804176 2345945344 2373329920 2382600740 2537930512 2749867840 2869912832 2903413760 2914755220 2932431680 3096171520 3123606784 3160069120 3172413140 3369866240 3574828192 3587391040 3812161184 3904508480 4122526720 4399788544 4416975218 4468535240 4663608352 4691890688 4765201480 5075861024 5499735680 5739825664 5829510440 5864863360 6247213568 6344826280 7149656384 7174782080 7624322368 7809016960 8799577088 8833950436 8937070480 9327216704 9383781376 9530402960 10151722048 10999471360 11042438045 11479651328 11659020880 11729726720 12494427136 12689652560 14299312768 14349564160 15248644736 15618033920 17667900872 17874140960 18654433408 19060805920 20303444096 21998942720 22084876090 23318041760 23459453440 25379305120 28598625536 28699128320 28710338917 30497289472 31236067840 35335801744 35748281920 37308866816 38121611840 40606888192 43997885440 44169752180 46636083520 46918906880 50758610240 57197251072 57398256640 57420677834 60994578944 62472135680 70671603488 71496563840 74617733632 76243223680 81213776384 88339504360 93272167040 101517220480 114394502144 114841355668 121989157888 141343206976 142993127680 143551694585 149235467264 152486447360 162427552768 176679008720 186544334080 203034440960 229682711336 282686413952 285986255360 287103389170 304972894720 353358017440 373088668160 406068881920 459365422672 565372827904 571972510720 574206778340 609945789440 706716034880 746177336320 812137763840 918730845344 1130745655808 1148413556680 1413432069760 1837461690688 2261491311616 2296827113360 2826864139520 3674923381376 4593654226720 5653728279040 7349846762752 9187308453440 11307456558080 14699693525504 18374616906880 29399387051008 36749233813760 73498467627520 146996935255040
• Sum of all divisors σ(n): 386873318639808
• Sum of proper divisors (its aliquot sum) s(n): 239876383384768
• 146996935255040 is an abundant number, because the sum of its proper divisors (239876383384768) is greater than itself. Its abundance is 92879448129728

Bases of 146996935255040

• Binary: 100001011011000101100100000110111110010000000000₂
• Hexadecimal: 0x85B1641BE400
• Base-36: 1G3TGJWHKW

Squares and roots of 146996935255040

• 146996935255040 squared (146996935255040²) is 21608098974374421669845401600
• 146996935255040 cubed (146996935255040³) is 3176324325920613090289308461721467224064000
• The square root of 146996935255040 is 12124229.2643714059
• The cube root of 146996935255040 is 52775.9541055997

Scales and comparisons

• 146,996,935,255,040 seconds is equal to 4,674,047 years, 44 weeks, 1 day, 7 hours, 17 minutes, 20 seconds.
• To count from 1 to 146,996,935,255,040 would take you about eleven million, six hundred eighty-five thousand, one hundred nineteen 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 146996935255040 cubic inches would be around 4398 feet tall.

Recreational maths with 146996935255040

• 146996935255040 backwards is 040552539699641
• The number of decimal digits it has is: 15
• The sum of 146996935255040's digits is 68
• More coming soon!