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144051602085 = 32510729917259
BaseRepresentation
bin1000011000101000100…
…1010000001010100101
3111202211012111120221200
42012022021100022211
54330004202231320
6150102033433113
713256506262166
oct2061211201245
9452735446850
10144051602085
1156101412816
1223b0270b799
13107790b0091
146d8777576d
153b3178b290
hex218a2502a5

144051602085 has 24 divisors (see below), whose sum is σ = 252022998240. Its totient is φ = 76109504352.

The previous prime is 144051602039. The next prime is 144051602119. The reversal of 144051602085 is 580206150441.

It is a happy number.

144051602085 is a `hidden beast` number, since 1 + 4 + 40 + 5 + 1 + 602 + 0 + 8 + 5 = 666.

It is not a de Polignac number, because 144051602085 - 27 = 144051601957 is a prime.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 14953815 + ... + 14963444.

It is an arithmetic number, because the mean of its divisors is an integer number (10500958260).

Almost surely, 2144051602085 is an apocalyptic number.

144051602085 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

144051602085 is a deficient number, since it is larger than the sum of its proper divisors (107971396155).

144051602085 is a wasteful number, since it uses less digits than its factorization.

144051602085 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29917377 (or 29917374 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 36.

The spelling of 144051602085 in words is "one hundred forty-four billion, fifty-one million, six hundred two thousand, eighty-five".

Divisors: 1 3 5 9 15 45 107 321 535 963 1605 4815 29917259 89751777 149586295 269255331 448758885 1346276655 3201146713 9603440139 16005733565 28810320417 48017200695 144051602085