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144709866657 = 331011133731259
BaseRepresentation
bin1000011011000101100…
…0010101010010100001
3111211112002010220012000
42012301120111102201
54332331211213112
6150251230354213
713312021366656
oct2066130252241
9454462126160
10144709866657
1156409a46724
122406705b969
1310852598a45
14700ad67c2d
153b6e4677dc
hex21b16154a1

144709866657 has 64 divisors (see below), whose sum is σ = 219183148800. Its totient is φ = 94343961600.

The previous prime is 144709866643. The next prime is 144709866677. The reversal of 144709866657 is 756668907441.

It is a happy number.

It is not a de Polignac number, because 144709866657 - 26 = 144709866593 is a prime.

It is a super-3 number, since 3×1447098666573 (a number of 34 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 144709866594 and 144709866603.

It is not an unprimeable number, because it can be changed into a prime (144709866617) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 114939694 + ... + 114940952.

It is an arithmetic number, because the mean of its divisors is an integer number (3424736700).

Almost surely, 2144709866657 is an apocalyptic number.

It is an amenable number.

144709866657 is a deficient number, since it is larger than the sum of its proper divisors (74473282143).

144709866657 is a wasteful number, since it uses less digits than its factorization.

144709866657 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1855 (or 1849 counting only the distinct ones).

The product of its (nonzero) digits is 60963840, while the sum is 63.

The spelling of 144709866657 in words is "one hundred forty-four billion, seven hundred nine million, eight hundred sixty-six thousand, six hundred fifty-seven".

Divisors: 1 3 9 27 101 113 303 339 373 909 1017 1119 1259 2727 3051 3357 3777 10071 11331 11413 33993 34239 37673 42149 102717 113019 126447 127159 142267 308151 339057 379341 381477 426801 469607 1017171 1138023 1144431 1280403 1408821 3433293 3841209 4226463 4257049 12679389 12771147 14368967 38313441 43106901 47430307 53065591 114940323 129320703 142290921 159196773 387962109 426872763 477590319 1280618289 1432770957 5359624691 16078874073 48236622219 144709866657