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144071829 = 32112396089
BaseRepresentation
bin10001001011001…
…01110010010101
3101001002121101200
420211211302111
5243340244304
622143543113
73366406326
oct1045456225
9331077350
10144071829
1174363330
12402baa99
1323b04805
14151c444d
15c9ace39
hex8965c95

144071829 has 24 divisors (see below), whose sum is σ = 228009600. Its totient is φ = 86936640.

The previous prime is 144071789. The next prime is 144071831. The reversal of 144071829 is 928170441.

It is not a de Polignac number, because 144071829 - 213 = 144063637 is a prime.

It is a super-2 number, since 2×1440718292 = 41513383822810482, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 144071793 and 144071802.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144071029) by changing a digit.

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, 20617 + ... + 26705.

It is an arithmetic number, because the mean of its divisors is an integer number (9500400).

Almost surely, 2144071829 is an apocalyptic number.

It is an amenable number.

144071829 is a deficient number, since it is larger than the sum of its proper divisors (83937771).

144071829 is a wasteful number, since it uses less digits than its factorization.

144071829 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6345 (or 6342 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The square root of 144071829 is about 12002.9925018722. The cubic root of 144071829 is about 524.2354149263.

The spelling of 144071829 in words is "one hundred forty-four million, seventy-one thousand, eight hundred twenty-nine".

Divisors: 1 3 9 11 33 99 239 717 2151 2629 6089 7887 18267 23661 54801 66979 200937 602811 1455271 4365813 13097439 16007981 48023943 144071829