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2410442141112 = 23351968395549
BaseRepresentation
bin100011000100111001100…
…011000010110110111000
322112102202212010221200000
4203010321203002312320
5303443041142003422
65043201500313000
7336102001066125
oct43047143026670
98472685127600
102410442141112
1184a298826375
1232b1b0242760
131463c4367725
14849477c974c
1542a7b4bdcac
hex231398c2db8

2410442141112 has 192 divisors, whose sum is σ = 7136897040000. Its totient is φ = 760069816704.

The previous prime is 2410442141059. The next prime is 2410442141113. The reversal of 2410442141112 is 2111412440142.

2410442141112 is a `hidden beast` number, since 24 + 104 + 421 + 4 + 1 + 112 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2410442141113) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 25179514 + ... + 25275062.

It is an arithmetic number, because the mean of its divisors is an integer number (37171338750).

Almost surely, 22410442141112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2410442141112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3568448520000).

2410442141112 is an abundant number, since it is smaller than the sum of its proper divisors (4726454898888).

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

2410442141112 is a wasteful number, since it uses less digits than its factorization.

2410442141112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96272 (or 96256 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 27.

Adding to 2410442141112 its reverse (2111412440142), we get a palindrome (4521854581254).

The spelling of 2410442141112 in words is "two trillion, four hundred ten billion, four hundred forty-two million, one hundred forty-one thousand, one hundred twelve".