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4114454144 = 27137234629
BaseRepresentation
bin1111010100111101…
…1001011010000000
3101121202001221000112
43311033121122000
531411300013034
61520135010452
7203650166063
oct36517313200
911552057015
104114454144
111821558329
12969b09a28
13507556268
142b06288da
151913327ce
hexf53d9680

4114454144 has 32 divisors (see below), whose sum is σ = 8256629700. Its totient is φ = 2042202112.

The previous prime is 4114454143. The next prime is 4114454147. The reversal of 4114454144 is 4414544114.

4114454144 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 2 ways, for example, as 4107271744 + 7182400 = 64088^2 + 2680^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a self number, because there is not a number n which added to its sum of digits gives 4114454144.

It is not an unprimeable number, because it can be changed into a prime (4114454143) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 99779 + ... + 134850.

Almost surely, 24114454144 is an apocalyptic number.

It is an amenable number.

4114454144 is an abundant number, since it is smaller than the sum of its proper divisors (4142175556).

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

4114454144 is a wasteful number, since it uses less digits than its factorization.

4114454144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 234780 (or 234768 counting only the distinct ones).

The product of its digits is 20480, while the sum is 32.

The square root of 4114454144 is about 64144.0109753046. The cubic root of 4114454144 is about 1602.3992836836.

Adding to 4114454144 its reverse (4414544114), we get a palindrome (8528998258).

The spelling of 4114454144 in words is "four billion, one hundred fourteen million, four hundred fifty-four thousand, one hundred forty-four".

Divisors: 1 2 4 8 16 32 64 128 137 274 548 1096 2192 4384 8768 17536 234629 469258 938516 1877032 3754064 7508128 15016256 30032512 32144173 64288346 128576692 257153384 514306768 1028613536 2057227072 4114454144