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144443414133 = 33109184726573
BaseRepresentation
bin1000011010000101111…
…1111001011001110101
3111210211111202201001000
42012201133321121311
54331310003223013
6150204551353513
713302304522314
oct2064137713165
9453744681030
10144443414133
11562925a5a27
1223bb1982899
131080c315825
146dc380827b
153b55d83973
hex21a17f9675

144443414133 has 32 divisors (see below), whose sum is σ = 216078508800. Its totient is φ = 95356916928.

The previous prime is 144443414119. The next prime is 144443414149. The reversal of 144443414133 is 331414344441.

144443414133 is a `hidden beast` number, since 1 + 44 + 443 + 4 + 141 + 33 = 666.

It is not a de Polignac number, because 144443414133 - 234 = 127263544949 is a prime.

It is a super-4 number, since 4×1444434141334 (a number of 46 digits) contains 4444 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144443414153) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5422435 + ... + 5449007.

It is an arithmetic number, because the mean of its divisors is an integer number (6752453400).

Almost surely, 2144443414133 is an apocalyptic number.

It is an amenable number.

144443414133 is a deficient number, since it is larger than the sum of its proper divisors (71635094667).

144443414133 is a wasteful number, since it uses less digits than its factorization.

144443414133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28538 (or 28532 counting only the distinct ones).

The product of its digits is 110592, while the sum is 36.

Adding to 144443414133 its reverse (331414344441), we get a palindrome (475857758574).

The spelling of 144443414133 in words is "one hundred forty-four billion, four hundred forty-three million, four hundred fourteen thousand, one hundred thirty-three".

Divisors: 1 3 9 27 109 327 981 1847 2943 5541 16623 26573 49869 79719 201323 239157 603969 717471 1811907 2896457 5435721 8689371 26068113 49080331 78204339 147240993 441722979 1325168937 5349756079 16049268237 48147804711 144443414133