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402440231440 = 245132921273623
BaseRepresentation
bin1011101101100110100…
…11101001101000010000
31102110202202021222020001
411312303103221220100
523043144144401230
6504513430455344
741034562345252
oct5666323515020
91373682258201
10402440231440
111457460233a5
1265bb4504554
132bc47071c80
141569a2d5cd2
15a705c6a0ca
hex5db34e9a10

402440231440 has 240 divisors, whose sum is σ = 1052100661248. Its totient is φ = 142300440576.

The previous prime is 402440231437. The next prime is 402440231443. The reversal of 402440231440 is 44132044204.

It is an interprime number because it is at equal distance from previous prime (402440231437) and next prime (402440231443).

It is a junction number, because it is equal to n+sod(n) for n = 402440231399 and 402440231408.

It is not an unprimeable number, because it can be changed into a prime (402440231443) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 111077469 + ... + 111081091.

Almost surely, 2402440231440 is an apocalyptic number.

402440231440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 402440231440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (526050330624).

402440231440 is an abundant number, since it is smaller than the sum of its proper divisors (649660429808).

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

402440231440 is a wasteful number, since it uses less digits than its factorization.

402440231440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3834 (or 3799 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 28.

Adding to 402440231440 its reverse (44132044204), we get a palindrome (446572275644).

The spelling of 402440231440 in words is "four hundred two billion, four hundred forty million, two hundred thirty-one thousand, four hundred forty".