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144672318108 = 22331970503079
BaseRepresentation
bin1000011010111100100…
…1000110001010011100
3111211102110111020021000
42012233021012022130
54332242103134413
6150243405510300
713311054261663
oct2065711061234
9454373436230
10144672318108
115639a82a96a
1224056572390
131084787cc76
147005d91dda
153b6aeec073
hex21af24629c

144672318108 has 48 divisors (see below), whose sum is σ = 394817248000. Its totient is φ = 45685994544.

The previous prime is 144672318083. The next prime is 144672318157. The reversal of 144672318108 is 801813276441.

144672318108 is a `hidden beast` number, since 1 + 4 + 467 + 2 + 3 + 181 + 0 + 8 = 666.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 35249488 + ... + 35253591.

Almost surely, 2144672318108 is an apocalyptic number.

144672318108 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

144672318108 is an abundant number, since it is smaller than the sum of its proper divisors (250144929892).

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

144672318108 is a wasteful number, since it uses less digits than its factorization.

144672318108 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70503111 (or 70503103 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 45.

The spelling of 144672318108 in words is "one hundred forty-four billion, six hundred seventy-two million, three hundred eighteen thousand, one hundred eight".

Divisors: 1 2 3 4 6 9 12 18 19 27 36 38 54 57 76 108 114 171 228 342 513 684 1026 2052 70503079 141006158 211509237 282012316 423018474 634527711 846036948 1269055422 1339558501 1903583133 2538110844 2679117002 3807166266 4018675503 5358234004 7614332532 8037351006 12056026509 16074702012 24112053018 36168079527 48224106036 72336159054 144672318108