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1104314442440 = 23511219292109131
BaseRepresentation
bin10000000100011110010…
…001010010001011001000
310220120102120110011010012
4100010132101102023020
5121043113444124230
62203152015011052
7142532640611636
oct20043621221310
93816376404105
101104314442440
11396378793500
1215a034809a88
13801a08b33b1
143b6404b0356
151dad4639395
hex1011e4522c8

1104314442440 has 576 divisors, whose sum is σ = 3027672648000. Its totient is φ = 361167206400.

The previous prime is 1104314442419. The next prime is 1104314442463. The reversal of 1104314442440 is 442444134011.

It is a junction number, because it is equal to n+sod(n) for n = 1104314442397 and 1104314442406.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 8429881175 + ... + 8429881305.

It is an arithmetic number, because the mean of its divisors is an integer number (5256376125).

Almost surely, 21104314442440 is an apocalyptic number.

1104314442440 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 1104314442440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1513836324000).

1104314442440 is an abundant number, since it is smaller than the sum of its proper divisors (1923358205560).

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

1104314442440 is a wasteful number, since it uses less digits than its factorization.

1104314442440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 350 (or 306 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 32.

Adding to 1104314442440 its reverse (442444134011), we get a palindrome (1546758576451).

The spelling of 1104314442440 in words is "one trillion, one hundred four billion, three hundred fourteen million, four hundred forty-two thousand, four hundred forty".