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1110340132440 = 2335711811148171
BaseRepresentation
bin10000001010000101011…
…011011101111001011000
310221010222111211220211220
4100022011123131321120
5121142434033214230
62210025550252040
7143135156255160
oct20120533357130
93833874756756
101110340132440
113989900705a0
1215b2367b7020
13809210a5436
143ba528895a0
151dd38648d10
hex102856dde58

1110340132440 has 256 divisors, whose sum is σ = 4158109347840. Its totient is φ = 230433984000.

The previous prime is 1110340132427. The next prime is 1110340132457. The reversal of 1110340132440 is 442310430111.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 1110340132440.

It is a congruent number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 7419555 + ... + 7567725.

It is an arithmetic number, because the mean of its divisors is an integer number (16242614640).

Almost surely, 21110340132440 is an apocalyptic number.

1110340132440 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 1110340132440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2079054673920).

1110340132440 is an abundant number, since it is smaller than the sum of its proper divisors (3047769215400).

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

1110340132440 is a wasteful number, since it uses less digits than its factorization.

1110340132440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149014 (or 149010 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 1110340132440 its reverse (442310430111), we get a palindrome (1552650562551).

The spelling of 1110340132440 in words is "one trillion, one hundred ten billion, three hundred forty million, one hundred thirty-two thousand, four hundred forty".