13735978863480012800

Names of 13735978863480012800

• Cardinal: 13735978863480012800 can be written as Thirteen quintillion, seven hundred thirty-five quadrillion, nine hundred seventy-eight trillion, eight hundred sixty-three billion, four hundred eighty million, twelve thousand, eight hundred.

Scientific notation

• Scientific notation: 1.37359788634800128 × 10¹⁹

Factors of 13735978863480012800

• Number of distinct prime factors ω(n): 3
• Total number of prime factors Ω(n): 56
• Sum of prime factors: 68

Divisors of 13735978863480012800

• Number of divisors d(n): 324
• Complete list of divisors:
  1 2 4 5 8 10 16 20 25 32 40 50 61 64 80 100 122 128 160 200 244 256 305 320 400 488 512 610 640 800 976 1024 1220 1280 1525 1600 1952 2048 2440 2560 3050 3200 3904 4096 4880 5120 6100 6400 7808 8192 9760 10240 12200 12800 15616 16384 19520 20480 24400 25600 31232 32768 39040 40960 48800 51200 62464 65536 78080 81920 97600 102400 124928 131072 156160 163840 195200 204800 249856 262144 312320 327680 390400 409600 499712 524288 624640 655360 780800 819200 999424 1048576 1249280 1310720 1561600 1638400 1998848 2097152 2498560 2621440 3123200 3276800 3997696 4194304 4997120 5242880 6246400 6553600 7995392 8388608 9994240 10485760 12492800 13107200 15990784 16777216 19988480 20971520 24985600 26214400 31981568 33554432 39976960 41943040 49971200 52428800 63963136 67108864 79953920 83886080 99942400 104857600 127926272 134217728 159907840 167772160 199884800 209715200 255852544 268435456 319815680 335544320 399769600 419430400 511705088 536870912 639631360 671088640 799539200 838860800 1023410176 1073741824 1279262720 1342177280 1599078400 1677721600 2046820352 2147483648 2558525440 2684354560 3198156800 3355443200 4093640704 4294967296 5117050880 5368709120 6396313600 6710886400 8187281408 8589934592 10234101760 10737418240 12792627200 13421772800 16374562816 17179869184 20468203520 21474836480 25585254400 26843545600 32749125632 34359738368 40936407040 42949672960 51170508800 53687091200 65498251264 68719476736 81872814080 85899345920 102341017600 107374182400 130996502528 137438953472 163745628160 171798691840 204682035200 214748364800 261993005056 274877906944 327491256320 343597383680 409364070400 429496729600 523986010112 549755813888 654982512640 687194767360 818728140800 858993459200 1047972020224 1099511627776 1309965025280 1374389534720 1637456281600 1717986918400 2095944040448 2199023255552 2619930050560 2748779069440 3274912563200 3435973836800 4191888080896 4398046511104 5239860101120 5497558138880 6549825126400 6871947673600 8383776161792 8796093022208 10479720202240 10995116277760 13099650252800 13743895347200 16767552323584 17592186044416 20959440404480 21990232555520 26199300505600 27487790694400 33535104647168 35184372088832 41918880808960 43980465111040 52398601011200 54975581388800 67070209294336 70368744177664 83837761617920 87960930222080 104797202022400 109951162777600 134140418588672 140737488355328 167675523235840 175921860444160 209594404044800 219902325555200 268280837177344 281474976710656 335351046471680 351843720888320 419188808089600 439804651110400 536561674354688 562949953421312 670702092943360 703687441776640 838377616179200 879609302220800 1073123348709376 1125899906842624 1341404185886720 1407374883553280 1676755232358400 1759218604441600 2146246697418752 2251799813685248 2682808371773440 2814749767106560 3353510464716800 3518437208883200 4292493394837504 4503599627370496 5365616743546880 5629499534213120 6707020929433600 7036874417766400 8584986789675008 9007199254740992 10731233487093760 11258999068426240 13414041858867200 14073748835532800 17169973579350016 21462466974187520 22517998136852480 26828083717734400 28147497671065600 34339947158700032 42924933948375040 45035996273704960 53656167435468800 56294995342131200 68679894317400064 85849867896750080 107312334870937600 112589990684262400 137359788634800128 171699735793500160 214624669741875200 225179981368524800 274719577269600256 343399471587000320 429249339483750400 549439154539200512 686798943174000640 858498678967500800 1373597886348001280 1716997357935001600 2747195772696002560 3433994715870003200 6867989431740006400 13735978863480012800
• Sum of all divisors σ(n): 34623673935224371326
• Sum of proper divisors (its aliquot sum) s(n): 20887695071744358526
• 13735978863480012800 is an abundant number, because the sum of its proper divisors (20887695071744358526) is greater than itself. Its abundance is 7151716208264345726

Bases of 13735978863480012800

• Binary: 1011111010100000000000000000000000000000000000000000000000000000₂
• Hexadecimal: 0xBEA0000000000000
• Base-36: 2WCXY4O9VILFK

Squares and roots of 13735978863480012800

• 13735978863480012800 squared (13735978863480012800²) is 188677115337969664118769305088163840000
• 13735978863480012800 cubed (13735978863480012800³) is 2591664868304731838099926461052926844410337691697152000000
• The square root of 13735978863480012800 is 3706208151.6666077291
• The cube root of 13735978863480012800 is 2394895.3345897537

Scales and comparisons

• 13,735,978,863,480,012,800 seconds is equal to 293,274,701,009 years, 3 weeks, 3 days, 15 hours, 30 minutes, 7 seconds.
• To count from 1 to 13,735,978,863,480,012,800 would take you about two hundred ninety-three billion, two hundred seventy-four million, seven hundred one thousand and nine 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 13735978863480012800 cubic inches would be around 199574.6 feet tall.

Recreational maths with 13735978863480012800

• 13735978863480012800 backwards is 00821008436887953731
• The number of decimal digits it has is: 20
• The sum of 13735978863480012800's digits is 83
• More coming soon!