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2400044220040 = 235193733424129
BaseRepresentation
bin100010111011001101110…
…010000111111010001000
322111102221012121211110011
4202323031302013322020
5303310242310020130
65034322021001304
7335253222161335
oct42731562077210
98442835554404
102400044220040
11845942436375
12329189b53234
131454280b5ccc
148423c88398c
154266d70d52a
hex22ecdc87e88

2400044220040 has 64 divisors (see below), whose sum is σ = 5435497393200. Its totient is φ = 953738330112.

The previous prime is 2400044219977. The next prime is 2400044220043. The reversal of 2400044220040 is 400224400042.

2400044220040 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 8 ways, for example, as 2069449119364 + 330595100676 = 1438558^2 + 574974^2 .

It is a junction number, because it is equal to n+sod(n) for n = 2400044219993 and 2400044220020.

It is not an unprimeable number, because it can be changed into a prime (2400044220043) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5446696 + ... + 5870824.

Almost surely, 22400044220040 is an apocalyptic number.

2400044220040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2400044220040 is an abundant number, since it is smaller than the sum of its proper divisors (3035453173160).

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

2400044220040 is a wasteful number, since it uses less digits than its factorization.

2400044220040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 425066 (or 425062 counting only the distinct ones).

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

Adding to 2400044220040 its reverse (400224400042), we get a palindrome (2800268620082).

The spelling of 2400044220040 in words is "two trillion, four hundred billion, forty-four million, two hundred twenty thousand, forty".

Divisors: 1 2 4 5 8 10 20 40 193 386 733 772 965 1466 1544 1930 2932 3665 3860 5864 7330 7720 14660 29320 141469 282938 424129 565876 707345 848258 1131752 1414690 1696516 2120645 2829380 3393032 4241290 5658760 8482580 16965160 81856897 163713794 310886557 327427588 409284485 621773114 654855176 818568970 1243546228 1554432785 1637137940 2487092456 3108865570 3274275880 6217731140 12435462280 60001105501 120002211002 240004422004 300005527505 480008844008 600011055010 1200022110020 2400044220040