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1040541115614 = 23711135328111633
BaseRepresentation
bin11110010010001010001…
…01010110010011011110
310200110211002200111001120
433021011011112103132
5114022012011144424
62114003515151410
7135114402356250
oct17110505262336
93613732614046
101040541115614
11371322373120
121497b7145566
137717949a750
143851082dcd0
151c1009d8a79
hexf2451564de

1040541115614 has 256 divisors, whose sum is σ = 2857277638656. Its totient is φ = 243881164800.

The previous prime is 1040541115591. The next prime is 1040541115619. The reversal of 1040541115614 is 4165111450401.

It is a happy number.

1040541115614 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1040541115619) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 89441542 + ... + 89453174.

It is an arithmetic number, because the mean of its divisors is an integer number (11161240776).

Almost surely, 21040541115614 is an apocalyptic number.

1040541115614 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1040541115614, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1428638819328).

1040541115614 is an abundant number, since it is smaller than the sum of its proper divisors (1816736523042).

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

1040541115614 is a wasteful number, since it uses less digits than its factorization.

1040541115614 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12003.

The product of its (nonzero) digits is 9600, while the sum is 33.

The spelling of 1040541115614 in words is "one trillion, forty billion, five hundred forty-one million, one hundred fifteen thousand, six hundred fourteen".