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144014020033 = 1353209018897
BaseRepresentation
bin1000011000011111100…
…1111000110111000001
3111202201120210020001211
42012013321320313001
54324420042120113
6150054212130121
713255541654422
oct2060771706701
9452646706054
10144014020033
1156092183874
1223ab2006941
1310771381c90
146d82791649
153b2d315b3d
hex2187e78dc1

144014020033 has 8 divisors (see below), whose sum is σ = 158018286888. Its totient is φ = 130427791104.

The previous prime is 144014019983. The next prime is 144014020079. The reversal of 144014020033 is 330020410441.

144014020033 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 33934060944 + 110079959089 = 184212^2 + 331783^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 144014020033 - 221 = 144011922881 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 144014019986 and 144014020013.

It is not an unprimeable number, because it can be changed into a prime (144014020433) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 104508760 + ... + 104510137.

It is an arithmetic number, because the mean of its divisors is an integer number (19752285861).

Almost surely, 2144014020033 is an apocalyptic number.

144014020033 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

144014020033 is a deficient number, since it is larger than the sum of its proper divisors (14004266855).

144014020033 is a wasteful number, since it uses less digits than its factorization.

144014020033 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 209018963.

The product of its (nonzero) digits is 1152, while the sum is 22.

Adding to 144014020033 its reverse (330020410441), we get a palindrome (474034430474).

The spelling of 144014020033 in words is "one hundred forty-four billion, fourteen million, twenty thousand, thirty-three".

Divisors: 1 13 53 689 209018897 2717245661 11078001541 144014020033