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2424114144 = 25328417063
BaseRepresentation
bin1001000001111101…
…0000101111100000
320020221101202110100
42100133100233200
514431033123034
61040313102400
7114033426114
oct22037205740
96227352410
102424114144
111034392921
125779b7a00
132c82ac88a
1418dd39744
15e2c3b099
hex907d0be0

2424114144 has 36 divisors (see below), whose sum is σ = 6893575416. Its totient is φ = 808037952.

The previous prime is 2424114101. The next prime is 2424114149. The reversal of 2424114144 is 4414114242.

It is a happy number.

2424114144 is a `hidden beast` number, since 2 + 4 + 241 + 1 + 414 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2424114149) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 4208244 + ... + 4208819.

It is an arithmetic number, because the mean of its divisors is an integer number (191488206).

Almost surely, 22424114144 is an apocalyptic number.

2424114144 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2424114144 is an abundant number, since it is smaller than the sum of its proper divisors (4469461272).

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

2424114144 is a wasteful number, since it uses less digits than its factorization.

2424114144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8417079 (or 8417068 counting only the distinct ones).

The product of its digits is 4096, while the sum is 27.

The square root of 2424114144 is about 49235.2936824794. The cubic root of 2424114144 is about 1343.3350771315.

Adding to 2424114144 its reverse (4414114242), we get a palindrome (6838228386).

The spelling of 2424114144 in words is "two billion, four hundred twenty-four million, one hundred fourteen thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 8417063 16834126 25251189 33668252 50502378 67336504 75753567 101004756 134673008 151507134 202009512 269346016 303014268 404019024 606028536 808038048 1212057072 2424114144