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10440233440 = 2557134117489
BaseRepresentation
bin10011011100100100…
…10101000111100000
3222221121010210212121
421232102111013200
5132340144432230
64443550234024
7516501343240
oct115622250740
928847123777
1010440233440
11447826a9aa
1220344b5914
13ca4c77930
147107dbb20
1541186c77a
hex26e4951e0

10440233440 has 192 divisors, whose sum is σ = 31099178880. Its totient is φ = 3223388160.

The previous prime is 10440233423. The next prime is 10440233471. The reversal of 10440233440 is 4433204401.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 588216 + ... + 605704.

It is an arithmetic number, because the mean of its divisors is an integer number (161974890).

Almost surely, 210440233440 is an apocalyptic number.

10440233440 is a gapful number since it is divisible by the number (10) 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 10440233440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15549589440).

10440233440 is an abundant number, since it is smaller than the sum of its proper divisors (20658945440).

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

10440233440 is a wasteful number, since it uses less digits than its factorization.

10440233440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17565 (or 17557 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 25.

Adding to 10440233440 its reverse (4433204401), we get a palindrome (14873437841).

The spelling of 10440233440 in words is "ten billion, four hundred forty million, two hundred thirty-three thousand, four hundred forty".