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1104332041140 = 2235732293533119
BaseRepresentation
bin10000000100011111010…
…100011010101110110100
310220120110210120020222220
4100010133110122232310
5121043133000304030
62203153444122340
7142533243320046
oct20043724325664
93816423506886
101104332041140
11396387713689
1215a03a6963b0
13801a4435823
143b642971a96
151dad5e63a10
hex1011f51abb4

1104332041140 has 192 divisors, whose sum is σ = 3158105932800. Its totient is φ = 288274415616.

The previous prime is 1104332041139. The next prime is 1104332041147. The reversal of 1104332041140 is 411402334011.

It is a self number, because there is not a number n which added to its sum of digits gives 1104332041140.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1104332041147) 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 63 ways as a sum of consecutive naturals, for example, 354064501 + ... + 354067619.

It is an arithmetic number, because the mean of its divisors is an integer number (16448468400).

Almost surely, 21104332041140 is an apocalyptic number.

1104332041140 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 1104332041140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1579052966400).

1104332041140 is an abundant number, since it is smaller than the sum of its proper divisors (2053773891660).

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

1104332041140 is a wasteful number, since it uses less digits than its factorization.

1104332041140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3786 (or 3784 counting only the distinct ones).

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

Adding to 1104332041140 its reverse (411402334011), we get a palindrome (1515734375151).

The spelling of 1104332041140 in words is "one trillion, one hundred four billion, three hundred thirty-two million, forty-one thousand, one hundred forty".