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1042280358912 = 21035132314009
BaseRepresentation
bin11110010101011001100…
…00000010010000000000
310200122022022101012100000
433022230300002100000
5114034042232441122
62114452245200000
7135205451605362
oct17125460022000
93618268335300
101042280358912
113720350aa381
1214a001700000
13773959072b0
143863780cd32
151c1a35400ac
hexf2acc02400

1042280358912 has 528 divisors, whose sum is σ = 3507491594880. Its totient is φ = 306736201728.

The previous prime is 1042280358881. The next prime is 1042280358937. The reversal of 1042280358912 is 2198530822401.

1042280358912 is a `hidden beast` number, since 1 + 0 + 4 + 2 + 280 + 358 + 9 + 12 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 74393764 + ... + 74407772.

Almost surely, 21042280358912 is an apocalyptic number.

1042280358912 is a gapful number since it is divisible by the number (12) 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 1042280358912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1753745797440).

1042280358912 is an abundant number, since it is smaller than the sum of its proper divisors (2465211235968).

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

1042280358912 is a wasteful number, since it uses less digits than its factorization.

1042280358912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14080 (or 14050 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The spelling of 1042280358912 in words is "one trillion, forty-two billion, two hundred eighty million, three hundred fifty-eight thousand, nine hundred twelve".