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2404040144 = 241129538887
BaseRepresentation
bin1000111101001010…
…1011110111010000
320012112121220002212
42033102223313100
514410413241034
61034314531252
7113401001252
oct21722536720
96175556085
102404040144
111024021a40
12571136b28
132c40a187c
1418b3d1cd2
15e10c32ce
hex8f4abdd0

2404040144 has 80 divisors (see below), whose sum is σ = 5356264320. Its totient is φ = 1035041280.

The previous prime is 2404040141. The next prime is 2404040147. The reversal of 2404040144 is 4410404042.

It is an interprime number because it is at equal distance from previous prime (2404040141) and next prime (2404040147).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2404040141) 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 15 ways as a sum of consecutive naturals, for example, 266069 + ... + 274955.

It is an arithmetic number, because the mean of its divisors is an integer number (66953304).

Almost surely, 22404040144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2404040144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2678132160).

2404040144 is an abundant number, since it is smaller than the sum of its proper divisors (2952224176).

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

2404040144 is a wasteful number, since it uses less digits than its factorization.

2404040144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8988 (or 8982 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 23.

The square root of 2404040144 is about 49031.0120637949. The cubic root of 2404040144 is about 1339.6167583021.

Adding to 2404040144 its reverse (4410404042), we get a palindrome (6814444186).

The spelling of 2404040144 in words is "two billion, four hundred four million, forty thousand, one hundred forty-four".

Divisors: 1 2 4 8 11 16 22 29 44 53 58 88 106 116 176 212 232 319 424 464 583 638 848 1166 1276 1537 2332 2552 3074 4664 5104 6148 8887 9328 12296 16907 17774 24592 33814 35548 67628 71096 97757 135256 142192 195514 257723 270512 391028 471011 515446 782056 942022 1030892 1564112 1884044 2061784 2834953 3768088 4123568 5181121 5669906 7536176 10362242 11339812 13659319 20724484 22679624 27318638 41448968 45359248 54637276 82897936 109274552 150252509 218549104 300505018 601010036 1202020072 2404040144