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10440300024 = 233271123411997
BaseRepresentation
bin10011011100100101…
…00101010111111000
3222221121021012012200
421232102211113320
5132340204100044
64443551510200
7516502041330
oct115622452770
928847235180
1010440300024
114478305a30
122034528360
13ca4c9c02b
147108180c0
15411882369
hex26e4a55f8

10440300024 has 384 divisors, whose sum is σ = 37701780480. Its totient is φ = 2529331200.

The previous prime is 10440300019. The next prime is 10440300109. The reversal of 10440300024 is 42000304401.

It is a super-2 number, since 2×104403000242 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5226994 + ... + 5228990.

It is an arithmetic number, because the mean of its divisors is an integer number (98181720).

Almost surely, 210440300024 is an apocalyptic number.

10440300024 is a gapful number since it is divisible by the number (14) 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 10440300024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18850890240).

10440300024 is an abundant number, since it is smaller than the sum of its proper divisors (27261480456).

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

10440300024 is a wasteful number, since it uses less digits than its factorization.

10440300024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2091 (or 2084 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

Adding to 10440300024 its reverse (42000304401), we get a palindrome (52440604425).

The spelling of 10440300024 in words is "ten billion, four hundred forty million, three hundred thousand, twenty-four".