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40444022224 = 242989979369
BaseRepresentation
bin100101101010101001…
…101100110111010000
310212101121120012111001
4211222221230313100
51130312132202344
630325115431344
72631145342144
oct455251546720
9125347505431
1040444022224
1116174661561
127a08755554
133a770683c8
141d59551224
1510ba993ed4
hex96aa6cdd0

40444022224 has 40 divisors (see below), whose sum is σ = 81973269000. Its totient is φ = 19305302016.

The previous prime is 40444022221. The next prime is 40444022237. The reversal of 40444022224 is 42222044404.

40444022224 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 15681600 + 40428340624 = 3960^2 + 201068^2 .

It is a junction number, because it is equal to n+sod(n) for n = 40444022192 and 40444022201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40444022221) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 448389 + ... + 530980.

It is an arithmetic number, because the mean of its divisors is an integer number (2049331725).

Almost surely, 240444022224 is an apocalyptic number.

It is an amenable number.

40444022224 is an abundant number, since it is smaller than the sum of its proper divisors (41529246776).

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

40444022224 is a wasteful number, since it uses less digits than its factorization.

40444022224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 979495 (or 979489 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 28.

Adding to 40444022224 its reverse (42222044404), we get a palindrome (82666066628).

The spelling of 40444022224 in words is "forty billion, four hundred forty-four million, twenty-two thousand, two hundred twenty-four".

Divisors: 1 2 4 8 16 29 58 89 116 178 232 356 464 712 1424 2581 5162 10324 20648 41296 979369 1958738 3917476 7834952 15669904 28401701 56803402 87163841 113606804 174327682 227213608 348655364 454427216 697310728 1394621456 2527751389 5055502778 10111005556 20222011112 40444022224