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1042386840000 = 2633541187743
BaseRepresentation
bin11110010101100110001…
…10001110100111000000
310200122120201201222221000
433022303012032213000
5114034302012340000
62114511011332000
7135211213643022
oct17126306164700
93618521658830
101042386840000
1137208a218180
1214a0312b1000
13773b19a9a5c
1438647a0a012
151c1aca75000
hexf2b318e9c0

1042386840000 has 560 divisors, whose sum is σ = 4177470781440. Its totient is φ = 252696960000.

The previous prime is 1042386839987. The next prime is 1042386840007. The reversal of 1042386840000 is 486832401.

1042386840000 is a `hidden beast` number, since 10 + 4 + 238 + 6 + 8 + 400 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1042386840007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 11836129 + ... + 11923871.

Almost surely, 21042386840000 is an apocalyptic number.

1042386840000 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 1042386840000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2088735390720).

1042386840000 is an abundant number, since it is smaller than the sum of its proper divisors (3135083941440).

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

1042386840000 is an equidigital number, since it uses as much as digits as its factorization.

1042386840000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87795 (or 87764 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The spelling of 1042386840000 in words is "one trillion, forty-two billion, three hundred eighty-six million, eight hundred forty thousand".