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2431040004 = 223267528889
BaseRepresentation
bin1001000011100110…
…1011101000000100
320021102102121221200
42100321223220010
514434321240004
61041121342500
7114146333121
oct22071535004
96242377850
102431040004
111038293378
1257a197a30
132c9866113
14190c1d748
15e3658239
hex90e6ba04

2431040004 has 18 divisors (see below), whose sum is σ = 6145128990. Its totient is φ = 810346656.

The previous prime is 2431039957. The next prime is 2431040021. The reversal of 2431040004 is 4000401342.

It can be written as a sum of positive squares in only one way, i.e., 1571963904 + 859076100 = 39648^2 + 29310^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 33764409 + ... + 33764480.

It is an arithmetic number, because the mean of its divisors is an integer number (341396055).

Almost surely, 22431040004 is an apocalyptic number.

It is an amenable number.

2431040004 is an abundant number, since it is smaller than the sum of its proper divisors (3714088986).

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

2431040004 is a wasteful number, since it uses less digits than its factorization.

2431040004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67528899 (or 67528894 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 2431040004 is about 49305.5778183361. The cubic root of 2431040004 is about 1344.6131940955.

Adding to 2431040004 its reverse (4000401342), we get a palindrome (6431441346).

The spelling of 2431040004 in words is "two billion, four hundred thirty-one million, forty thousand, four".

Divisors: 1 2 3 4 6 9 12 18 36 67528889 135057778 202586667 270115556 405173334 607760001 810346668 1215520002 2431040004