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144134444300 = 225271118718759
BaseRepresentation
bin1000011000111100010…
…1010001010100001100
3111210000222101102002212
42012033011101110030
54330141404204200
6150114153205552
713261533363530
oct2061705212414
9453028342085
10144134444300
1156144155360
1223b264008b8
13107902c7042
146d9477bbc0
153b38ba2035
hex218f15150c

144134444300 has 72 divisors (see below), whose sum is σ = 389949208320. Its totient is φ = 44925019200.

The previous prime is 144134444299. The next prime is 144134444309. The reversal of 144134444300 is 3444431441.

144134444300 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (144134444309) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9351680 + ... + 9367079.

Almost surely, 2144134444300 is an apocalyptic number.

144134444300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

144134444300 is an abundant number, since it is smaller than the sum of its proper divisors (245814764020).

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

144134444300 is a wasteful number, since it uses less digits than its factorization.

144134444300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18718791 (or 18718784 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 32.

Adding to 144134444300 its reverse (3444431441), we get a palindrome (147578875741).

It can be divided in two parts, 14 and 4134444300, that added together give a palindrome (4134444314).

The spelling of 144134444300 in words is "one hundred forty-four billion, one hundred thirty-four million, four hundred forty-four thousand, three hundred".

Divisors: 1 2 4 5 7 10 11 14 20 22 25 28 35 44 50 55 70 77 100 110 140 154 175 220 275 308 350 385 550 700 770 1100 1540 1925 3850 7700 18718759 37437518 74875036 93593795 131031313 187187590 205906349 262062626 374375180 411812698 467968975 524125252 655156565 823625396 935937950 1029531745 1310313130 1441344443 1871875900 2059063490 2620626260 2882688886 3275782825 4118126980 5147658725 5765377772 6551565650 7206722215 10295317450 13103131300 14413444430 20590634900 28826888860 36033611075 72067222150 144134444300