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444240004040 = 23571586571443
BaseRepresentation
bin1100111011011101100…
…01001000001111001000
31120110122211221102120222
412131232301020033020
524234300420112130
6540025301005212
744044452505430
oct6355661101710
91513584842528
10444240004040
111614459a0208
127211b0b3808
1332b78c64c21
141770391b2c0
15b850762ce5
hex676ec483c8

444240004040 has 32 divisors (see below), whose sum is σ = 1142331439680. Its totient is φ = 152310858432.

The previous prime is 444240003959. The next prime is 444240004097. The reversal of 444240004040 is 40400042444.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 793285442 + ... + 793286001.

It is an arithmetic number, because the mean of its divisors is an integer number (35697857490).

Almost surely, 2444240004040 is an apocalyptic number.

444240004040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

444240004040 is an abundant number, since it is smaller than the sum of its proper divisors (698091435640).

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

444240004040 is a wasteful number, since it uses less digits than its factorization.

444240004040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1586571461 (or 1586571457 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 26.

Adding to 444240004040 its reverse (40400042444), we get a palindrome (484640046484).

The spelling of 444240004040 in words is "four hundred forty-four billion, two hundred forty million, four thousand, forty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 140 280 1586571443 3173142886 6346285772 7932857215 11106000101 12692571544 15865714430 22212000202 31731428860 44424000404 55530000505 63462857720 88848000808 111060001010 222120002020 444240004040