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139726371589281 = 3459211321972
BaseRepresentation
bin11111110001010010010100…
…101111101000110010100001
3200022201201012002010001110000
4133301102110233220302201
5121303234102111324111
61213101224200330213
741300616513131361
oct3761222457506241
9608651162101400
10139726371589281
1140580692115334
1213807aa7173969
135cc71a932a2b9
142670b1476a9a1
15112490c131c56
hex7f1494be8ca1

139726371589281 has 135 divisors (see below), whose sum is σ = 215313298498441. Its totient is φ = 90300993543936.

The previous prime is 139726371589229. The next prime is 139726371589361. The reversal of 139726371589281 is 182985173627931.

It is a happy number.

The square root of 139726371589281 is 11820591.

It is a perfect power (a square), and thus also a powerful number.

139726371589281 is a `hidden beast` number, since 1 + 3 + 9 + 7 + 2 + 6 + 37 + 1 + 589 + 2 + 8 + 1 = 666.

139726371589281 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 12553185681 + 139713818403600 = 112041^2 + 11820060^2 .

It is not a de Polignac number, because 139726371589281 - 219 = 139726371064993 is a prime.

It is a super-2 number, since 2×1397263715892812 (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (139726371589081) by changing a digit.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 709270921675 + ... + 709270921871.

Almost surely, 2139726371589281 is an apocalyptic number.

139726371589281 is the 11820591-st square number.

139726371589281 is the 5910296-th centered octagonal number.

It is an amenable number.

139726371589281 is a deficient number, since it is larger than the sum of its proper divisors (75586926909160).

139726371589281 is an frugal number, since it uses more digits than its factorization.

139726371589281 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 750 (or 372 counting only the distinct ones).

The product of its digits is 274337280, while the sum is 72.

The spelling of 139726371589281 in words is "one hundred thirty-nine trillion, seven hundred twenty-six billion, three hundred seventy-one million, five hundred eighty-nine thousand, two hundred eighty-one".

Divisors: 1 3 9 27 59 81 113 177 197 339 531 591 1017 1593 1773 3051 3481 4779 5319 6667 9153 10443 11623 12769 15957 20001 22261 31329 34869 38307 38809 60003 66783 93987 104607 114921 116427 180009 200349 281961 313821 344763 349281 393353 540027 601047 685757 753371 941463 1034289 1047843 1180059 1313399 1803141 2057271 2260113 2289731 2515493 3143529 3540177 3940197 4385417 6171813 6780339 6869193 7546479 10620531 11820591 13156251 18515439 20341017 20607579 22639437 31861593 35461773 39468753 44448889 55546317 61023051 61822737 67918311 77490541 106385319 118406259 133346667 135094129 148414087 185468211 203754933 232471623 258739603 355218777 400040001 405282387 445242261 495552121 697414869 776218809 1200120003 1215847161 1335726783 1486656363 2092244607 2328656427 3600360009 3647541483 4007180349 4459969089 6276733821 6985969281 8756431133 10942624449 12021541047 13379907267 15265636577 20957907843 26269293399 29237575139 40139721801 45796909731 78807880197 87712725417 137390729193 236423640591 263138176251 412172187579 709270921773 789414528753 1236516562737 1725016933201 2368243586259 5175050799603 15525152398809 46575457196427 139726371589281