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141661305 = 3451093209
BaseRepresentation
bin10000111000110…
…01010001111001
3100212120010210000
420130121101321
5242231130210
622020143213
73340046502
oct1034312171
9325503700
10141661305
1172a67265
123b537b09
132346c576
1414b57ba9
15c683ac0
hex8719479

141661305 has 40 divisors (see below), whose sum is σ = 256350600. Its totient is φ = 74836224.

The previous prime is 141661241. The next prime is 141661309. The reversal of 141661305 is 503166141.

141661305 is a `hidden beast` number, since 1 + 41 + 6 + 613 + 0 + 5 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 27342441 + 114318864 = 5229^2 + 10692^2 .

It is not a de Polignac number, because 141661305 - 26 = 141661241 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (141661309) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 42541 + ... + 45749.

It is an arithmetic number, because the mean of its divisors is an integer number (6408765).

Almost surely, 2141661305 is an apocalyptic number.

141661305 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

141661305 is a deficient number, since it is larger than the sum of its proper divisors (114689295).

141661305 is a wasteful number, since it uses less digits than its factorization.

141661305 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3335 (or 3326 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 141661305 is about 11902.1554770554. The cubic root of 141661305 is about 521.2952240665.

The spelling of 141661305 in words is "one hundred forty-one million, six hundred sixty-one thousand, three hundred five".

Divisors: 1 3 5 9 15 27 45 81 109 135 327 405 545 981 1635 2943 3209 4905 8829 9627 14715 16045 28881 44145 48135 86643 144405 259929 349781 433215 1049343 1299645 1748905 3148029 5246715 9444087 15740145 28332261 47220435 141661305