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40444000420 = 2252281886541
BaseRepresentation
bin100101101010101001…
…100111100010100100
310212101121112002120111
4211222221213202210
51130312131003140
630325115142404
72631145221445
oct455251474244
9125347462514
1040444000420
111617464713a
127a08744a04
133a7705b4c5
141d595472cc
1510ba98c7ea
hex96aa678a4

40444000420 has 24 divisors (see below), whose sum is σ = 84969731448. Its totient is φ = 16170489600.

The previous prime is 40444000403. The next prime is 40444000427. The reversal of 40444000420 is 2400044404.

It can be written as a sum of positive squares in 4 ways, for example, as 3594816 + 40440405604 = 1896^2 + 201098^2 .

It is a junction number, because it is equal to n+sod(n) for n = 40444000391 and 40444000400.

It is not an unprimeable number, because it can be changed into a prime (40444000427) 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 7 ways as a sum of consecutive naturals, for example, 397651 + ... + 488890.

It is an arithmetic number, because the mean of its divisors is an integer number (3540405477).

Almost surely, 240444000420 is an apocalyptic number.

It is an amenable number.

40444000420 is an abundant number, since it is smaller than the sum of its proper divisors (44525731028).

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

40444000420 is a wasteful number, since it uses less digits than its factorization.

40444000420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 888831 (or 888829 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 22.

Adding to 40444000420 its reverse (2400044404), we get a palindrome (42844044824).

The spelling of 40444000420 in words is "forty billion, four hundred forty-four million, four hundred twenty", and thus it is an aban number.

Divisors: 1 2 4 5 10 20 2281 4562 9124 11405 22810 45620 886541 1773082 3546164 4432705 8865410 17730820 2022200021 4044400042 8088800084 10111000105 20222000210 40444000420