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244444200040 = 23531371948073
BaseRepresentation
bin1110001110101000000…
…0100111110001101000
3212100221201212222100101
43203222000213301220
513001110203400130
6304143543315144
723442361263145
oct3435200476150
9770851788311
10244444200040
1194739418537
123b45ba4bab4
131a08803bbb1
14bb8c9d13cc
15655a1c61ca
hex38ea027c68

244444200040 has 32 divisors (see below), whose sum is σ = 550175059080. Its totient is φ = 97746460672.

The previous prime is 244444200029. The next prime is 244444200041. The reversal of 244444200040 is 40002444442.

It can be written as a sum of positive squares in 4 ways, for example, as 212928719364 + 31515480676 = 461442^2 + 177526^2 .

It is a junction number, because it is equal to n+sod(n) for n = 244444199981 and 244444200008.

It is not an unprimeable number, because it can be changed into a prime (244444200041) 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, 848557 + ... + 1099516.

Almost surely, 2244444200040 is an apocalyptic number.

244444200040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

244444200040 is an abundant number, since it is smaller than the sum of its proper divisors (305730859040).

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

244444200040 is a wasteful number, since it uses less digits than its factorization.

244444200040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1951221 (or 1951217 counting only the distinct ones).

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

Adding to 244444200040 its reverse (40002444442), we get a palindrome (284446644482).

The spelling of 244444200040 in words is "two hundred forty-four billion, four hundred forty-four million, two hundred thousand, forty".

Divisors: 1 2 4 5 8 10 20 40 3137 6274 12548 15685 25096 31370 62740 125480 1948073 3896146 7792292 9740365 15584584 19480730 38961460 77922920 6111105001 12222210002 24444420004 30555525005 48888840008 61111050010 122222100020 244444200040