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24440012340 = 22354361831871
BaseRepresentation
bin10110110000101111…
…001111111000110100
32100002021012021011020
4112300233033320310
5400023120343330
615121054141140
71523434451202
oct266057177064
970067167136
1024440012340
11a401828007
1248a0ab17b0
1323c6509c83
14127bc58072
1598095a210
hex5b0bcfe34

24440012340 has 192 divisors, whose sum is σ = 72067387392. Its totient is φ = 6182668800.

The previous prime is 24440012339. The next prime is 24440012347. The reversal of 24440012340 is 4321004442.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 24440012340.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (24440012347) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 13061605 + ... + 13063475.

It is an arithmetic number, because the mean of its divisors is an integer number (375350976).

Almost surely, 224440012340 is an apocalyptic number.

24440012340 is a gapful number since it is divisible by the number (20) 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 24440012340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36033693696).

24440012340 is an abundant number, since it is smaller than the sum of its proper divisors (47627375052).

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

24440012340 is a wasteful number, since it uses less digits than its factorization.

24440012340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2070 (or 2068 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

Adding to 24440012340 its reverse (4321004442), we get a palindrome (28761016782).

The spelling of 24440012340 in words is "twenty-four billion, four hundred forty million, twelve thousand, three hundred forty".