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1041045044040 = 2332515137351343
BaseRepresentation
bin11110010011000110001…
…11101011101101001000
310200112010012220200220100
433021203013223231020
5114024030012402130
62114125520125400
7135133031604321
oct17114307535510
93615105820810
101041045044040
11371560872aa1
12149917a66860
13772299c9951
143855b729448
151c12ed7ac60
hexf2631ebb48

1041045044040 has 192 divisors, whose sum is σ = 3415000343040. Its totient is φ = 275028825600.

The previous prime is 1041045043957. The next prime is 1041045044041. The reversal of 1041045044040 is 404405401401.

1041045044040 is a `hidden beast` number, since 10 + 4 + 104 + 504 + 4 + 0 + 40 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 1041045043995 and 1041045044013.

It is not an unprimeable number, because it can be changed into a prime (1041045044041) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 20250609 + ... + 20301951.

It is an arithmetic number, because the mean of its divisors is an integer number (17786460120).

Almost surely, 21041045044040 is an apocalyptic number.

1041045044040 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 1041045044040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1707500171520).

1041045044040 is an abundant number, since it is smaller than the sum of its proper divisors (2373955299000).

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

1041045044040 is a wasteful number, since it uses less digits than its factorization.

1041045044040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51884 (or 51877 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 27.

The spelling of 1041045044040 in words is "one trillion, forty-one billion, forty-five million, forty-four thousand, forty".