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144081445752 = 233211171791523
BaseRepresentation
bin1000011000101111101…
…1000110001101111000
3111202220021122210202200
42012023323012031320
54330034322231002
6150105021230200
713260321040026
oct2061373061570
9452807583680
10144081445752
1156117246802
1223b10702360
131078232bb5a
146d8b703716
153b341d3b1c
hex218bec6378

144081445752 has 48 divisors (see below), whose sum is σ = 390570147240. Its totient is φ = 47984125248.

The previous prime is 144081445721. The next prime is 144081445813. The reversal of 144081445752 is 257544180441.

144081445752 is a `hidden beast` number, since 1 + 4 + 408 + 144 + 57 + 52 = 666.

144081445752 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 144081445698 and 144081445707.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 815338 + ... + 976185.

Almost surely, 2144081445752 is an apocalyptic number.

144081445752 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

144081445752 is an abundant number, since it is smaller than the sum of its proper divisors (246488701488).

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

144081445752 is a wasteful number, since it uses less digits than its factorization.

144081445752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1792652 (or 1792645 counting only the distinct ones).

The product of its (nonzero) digits is 716800, while the sum is 45.

The spelling of 144081445752 in words is "one hundred forty-four billion, eighty-one million, four hundred forty-five thousand, seven hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 1117 2234 3351 4468 6702 8936 10053 13404 20106 26808 40212 80424 1791523 3583046 5374569 7166092 10749138 14332184 16123707 21498276 32247414 42996552 64494828 128989656 2001131191 4002262382 6003393573 8004524764 12006787146 16009049528 18010180719 24013574292 36020361438 48027148584 72040722876 144081445752