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144687704112 = 2434722325973
BaseRepresentation
bin1000011011000000001…
…1110010100000110000
3111211110112102220220000
42012300003302200300
54332310023012422
6150245115350000
713311332123100
oct2066003624060
9454415386800
10144687704112
11563a8489676
122405b752300
131084ab09203
147008039200
153b6c53acac
hex21b00f2830

144687704112 has 900 divisors, whose sum is σ = 524964603240. Its totient is φ = 38339288064.

The previous prime is 144687704107. The next prime is 144687704129. The reversal of 144687704112 is 211407786441.

144687704112 is a `hidden beast` number, since 1 + 4 + 468 + 7 + 70 + 4 + 112 = 666.

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 179 ways as a sum of consecutive naturals, for example, 1982023308 + ... + 1982023380.

Almost surely, 2144687704112 is an apocalyptic number.

144687704112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 144687704112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (262482301620).

144687704112 is an abundant number, since it is smaller than the sum of its proper divisors (380276899128).

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

144687704112 is a wasteful number, since it uses less digits than its factorization.

144687704112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 212 (or 167 counting only the distinct ones).

The product of its (nonzero) digits is 301056, while the sum is 45.

The spelling of 144687704112 in words is "one hundred forty-four billion, six hundred eighty-seven million, seven hundred four thousand, one hundred twelve".