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1118290434240 = 26357268334807
BaseRepresentation
bin10000010001011111010…
…011011101100011000000
310221220111120202002122010
4100101133103131203000
5121310224322343430
62213422513012520
7143536164565500
oct20213723354300
93856446662563
101118290434240
113a129a883a51
12160895254140
13815ba237625
143c1a86d7a00
151e1515c8cb0
hex1045f4dd8c0

1118290434240 has 336 divisors, whose sum is σ = 4136423438592. Its totient is φ = 255227664384.

The previous prime is 1118290434203. The next prime is 1118290434259. The reversal of 1118290434240 is 424340928111.

It is a tau number, because it is divible by the number of its divisors (336).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 32110917 + ... + 32145723.

Almost surely, 21118290434240 is an apocalyptic number.

1118290434240 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 1118290434240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2068211719296).

1118290434240 is an abundant number, since it is smaller than the sum of its proper divisors (3018133004352).

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

1118290434240 is a wasteful number, since it uses less digits than its factorization.

1118290434240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35524 (or 35507 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 39.

The spelling of 1118290434240 in words is "one trillion, one hundred eighteen billion, two hundred ninety million, four hundred thirty-four thousand, two hundred forty".