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4010442144 = 25341775439
BaseRepresentation
bin1110111100001010…
…0111110110100000
3101100111100120101020
43233002213312200
531203133122034
61501541405440
7201245124102
oct35702476640
911314316336
104010442144
1117788765a5
1293b109880
134bbb395b7
142a08b1572
15187139249
hexef0a7da0

4010442144 has 24 divisors (see below), whose sum is σ = 10527410880. Its totient is φ = 1336814016.

The previous prime is 4010442143. The next prime is 4010442151. The reversal of 4010442144 is 4412440104.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (24).

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

It is not an unprimeable number, because it can be changed into a prime (4010442143) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 20887624 + ... + 20887815.

It is an arithmetic number, because the mean of its divisors is an integer number (438642120).

Almost surely, 24010442144 is an apocalyptic number.

It is an amenable number.

4010442144 is an abundant number, since it is smaller than the sum of its proper divisors (6516968736).

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

4010442144 is a wasteful number, since it uses less digits than its factorization.

4010442144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41775452 (or 41775444 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 24.

The square root of 4010442144 is about 63328.0517938141. The cubic root of 4010442144 is about 1588.7811742419.

Adding to 4010442144 its reverse (4412440104), we get a palindrome (8422882248).

The spelling of 4010442144 in words is "four billion, ten million, four hundred forty-two thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 41775439 83550878 125326317 167101756 250652634 334203512 501305268 668407024 1002610536 1336814048 2005221072 4010442144