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2144130144 = 253131718053
BaseRepresentation
bin111111111001100…
…1101010001100000
312112102120002121120
41333303031101200
513342344131034
6552432052240
7104063543202
oct17763152140
95472502546
102144130144
11a0033a792
124ba094080
1328229c580
14164a96772
15c8382c49
hex7fccd460

2144130144 has 48 divisors (see below), whose sum is σ = 6061294512. Its totient is φ = 659731968.

The previous prime is 2144130103. The next prime is 2144130161. The reversal of 2144130144 is 4410314412.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 857779 + ... + 860274.

It is an arithmetic number, because the mean of its divisors is an integer number (126276969).

Almost surely, 22144130144 is an apocalyptic number.

2144130144 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2144130144 is an abundant number, since it is smaller than the sum of its proper divisors (3917164368).

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

2144130144 is a wasteful number, since it uses less digits than its factorization.

2144130144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1718079 (or 1718071 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

The square root of 2144130144 is about 46304.7529309897. The cubic root of 2144130144 is about 1289.4872356642.

Adding to 2144130144 its reverse (4410314412), we get a palindrome (6554444556).

The spelling of 2144130144 in words is "two billion, one hundred forty-four million, one hundred thirty thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 78 96 104 156 208 312 416 624 1248 1718053 3436106 5154159 6872212 10308318 13744424 20616636 22334689 27488848 41233272 44669378 54977696 67004067 82466544 89338756 134008134 164933088 178677512 268016268 357355024 536032536 714710048 1072065072 2144130144