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110420403040 = 255191311791549
BaseRepresentation
bin110011011010110010…
…0011010001101100000
3101120000101110122221001
41212311210122031200
53302120110344130
6122420524241344
710656214640203
oct1466544321540
9346011418831
10110420403040
1142913491142
12194976a0254
13a5496331bc
1454b6d7993a
152d13e8b6ca
hex19b591a360

110420403040 has 192 divisors, whose sum is σ = 278419680000. Its totient is φ = 41265469440.

The previous prime is 110420403031. The next prime is 110420403073. The reversal of 110420403040 is 40304024011.

It is a Harshad number since it is a multiple of its sum of digits (19).

It is a junction number, because it is equal to n+sod(n) for n = 110420402999 and 110420403017.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 71284186 + ... + 71285734.

It is an arithmetic number, because the mean of its divisors is an integer number (1450102500).

Almost surely, 2110420403040 is an apocalyptic number.

110420403040 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 110420403040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139209840000).

110420403040 is an abundant number, since it is smaller than the sum of its proper divisors (167999276960).

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

110420403040 is a wasteful number, since it uses less digits than its factorization.

110420403040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1893 (or 1885 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 19.

Adding to 110420403040 its reverse (40304024011), we get a palindrome (150724427051).

The spelling of 110420403040 in words is "one hundred ten billion, four hundred twenty million, four hundred three thousand, forty".