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14278577049 = 34112172712
BaseRepresentation
bin11010100110001000…
…11100101110011001
31100212002122212110000
431103010130232121
5213220303431144
610320503243213
71013556621342
oct152304345631
940762585400
1014278577049
116067980300
122925a49509
131467248979
149964b10c9
1558880e769
hex35311cb99

14278577049 has 135 divisors (see below), whose sum is σ = 25261037263. Its totient is φ = 8029929600.

The previous prime is 14278577023. The next prime is 14278577051. The reversal of 14278577049 is 94077587241.

The square root of 14278577049 is 119493.

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

14278577049 is a `hidden beast` number, since 1 + 4 + 27 + 8 + 577 + 0 + 49 = 666.

14278577049 is digitally balanced in base 2, 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 only one way, i.e., 11116539225 + 3162037824 = 105435^2 + 56232^2 .

It is not a de Polignac number, because 14278577049 - 211 = 14278575001 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 14278576986 and 14278577004.

It is not an unprimeable number, because it can be changed into a prime (14278577849) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 201106684 + ... + 201106754.

Almost surely, 214278577049 is an apocalyptic number.

14278577049 is the 119493-rd square number.

14278577049 is the 59747-th centered octagonal number.

It is an amenable number.

14278577049 is a deficient number, since it is larger than the sum of its proper divisors (10982460214).

14278577049 is an equidigital number, since it uses as much as digits as its factorization.

14278577049 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 210 (or 102 counting only the distinct ones).

The product of its (nonzero) digits is 3951360, while the sum is 54.

The spelling of 14278577049 in words is "fourteen billion, two hundred seventy-eight million, five hundred seventy-seven thousand, forty-nine".

Divisors: 1 3 9 11 17 27 33 51 71 81 99 121 153 187 213 289 297 363 459 561 639 781 867 891 1089 1207 1377 1683 1917 2057 2343 2601 3179 3267 3621 5041 5049 5751 6171 7029 7803 8591 9537 9801 10863 13277 15123 15147 18513 20519 21087 23409 25773 28611 32589 34969 39831 45369 55451 55539 61557 63261 77319 85697 85833 97767 104907 119493 136107 146047 166353 166617 184671 225709 231957 257091 257499 314721 358479 408321 438141 499059 554013 609961 677127 695871 771273 942667 944163 1075437 1314423 1456849 1497177 1662039 1829883 2031381 2313819 2482799 2828001 2832489 3943269 4370547 4491531 5489649 6094143 6941457 7448397 8484003 10369337 11829807 13111641 16025339 16468947 18282429 22345191 25452009 31108011 39334923 48076017 49406841 67035573 76356027 93324033 118004769 144228051 176278729 201106719 279972099 432684153 528836187 839916297 1298052459 1586508561 4759525683 14278577049