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1014313241140 = 225291748815933
BaseRepresentation
bin11101100001010011100…
…01111100101000110100
310120222010020022102010021
432300221301330220310
5113104303142204030
62053545152534524
7133165425203023
oct16605161745064
93528106272107
101014313241140
11361193421901
121446b7551444
13748597603b4
143714337c8ba
151b5b812197a
hexec29c7ca34

1014313241140 has 24 divisors (see below), whose sum is σ = 2203508076840. Its totient is φ = 391734768768.

The previous prime is 1014313241131. The next prime is 1014313241143. The reversal of 1014313241140 is 411423134101.

1014313241140 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 249188659344 + 765124581796 = 499188^2 + 874714^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1014313241143) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 874407387 + ... + 874408546.

It is an arithmetic number, because the mean of its divisors is an integer number (91812836535).

Almost surely, 21014313241140 is an apocalyptic number.

1014313241140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1014313241140 is an abundant number, since it is smaller than the sum of its proper divisors (1189194835700).

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

1014313241140 is a wasteful number, since it uses less digits than its factorization.

1014313241140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1748815971 (or 1748815969 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 25.

Adding to 1014313241140 its reverse (411423134101), we get a palindrome (1425736375241).

The spelling of 1014313241140 in words is "one trillion, fourteen billion, three hundred thirteen million, two hundred forty-one thousand, one hundred forty".

Divisors: 1 2 4 5 10 20 29 58 116 145 290 580 1748815933 3497631866 6995263732 8744079665 17488159330 34976318660 50715662057 101431324114 202862648228 253578310285 507156620570 1014313241140