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1104114333042 = 233779127347839
BaseRepresentation
bin10000000100010010010…
…101111011010101110010
310220112220121220112122000
4100010102111323111302
5121042211232124132
62203120105554430
7142524660660420
oct20042225732562
93815817815560
101104114333042
11396285836336
12159b997a5a16
138016b2bb376
143b621aa0110
151dac1cac87c
hex1011257b572

1104114333042 has 256 divisors, whose sum is σ = 2873622528000. Its totient is φ = 307757765952.

The previous prime is 1104114333017. The next prime is 1104114333137. The reversal of 1104114333042 is 2403334114011.

1104114333042 is a `hidden beast` number, since 110 + 41 + 143 + 330 + 42 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 1104114332997 and 1104114333015.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1315988059 + ... + 1315988897.

It is an arithmetic number, because the mean of its divisors is an integer number (11225088000).

Almost surely, 21104114333042 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1104114333042, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1436811264000).

1104114333042 is an abundant number, since it is smaller than the sum of its proper divisors (1769508194958).

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

1104114333042 is a wasteful number, since it uses less digits than its factorization.

1104114333042 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1410 (or 1404 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 1104114333042 its reverse (2403334114011), we get a palindrome (3507448447053).

The spelling of 1104114333042 in words is "one trillion, one hundred four billion, one hundred fourteen million, three hundred thirty-three thousand, forty-two".