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144561006 = 23219222247
BaseRepresentation
bin10001001110111…
…01001101101110
3101002000110102100
420213131031232
5244001423011
622202235530
73403514442
oct1047351556
9332013370
10144561006
1174667907
12404b5ba6
1323c46375
14152b0822
15ca57d56
hex89dd36e

144561006 has 36 divisors (see below), whose sum is σ = 330583032. Its totient is φ = 45648792.

The previous prime is 144560981. The next prime is 144561007. The reversal of 144561006 is 600165441.

144561006 is a `hidden beast` number, since 1 + 4 + 45 + 610 + 0 + 6 = 666.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144561007) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 4626 + ... + 17621.

It is an arithmetic number, because the mean of its divisors is an integer number (9182862).

Almost surely, 2144561006 is an apocalyptic number.

144561006 is an abundant number, since it is smaller than the sum of its proper divisors (186022026).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

144561006 is a wasteful number, since it uses less digits than its factorization.

144561006 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22293 (or 22271 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 144561006 is about 12023.3525274775. The cubic root of 144561006 is about 524.8280688709.

The spelling of 144561006 in words is "one hundred forty-four million, five hundred sixty-one thousand, six".

Divisors: 1 2 3 6 9 18 19 38 57 114 171 342 361 722 1083 2166 3249 6498 22247 44494 66741 133482 200223 400446 422693 845386 1268079 2536158 3804237 7608474 8031167 16062334 24093501 48187002 72280503 144561006