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10014304241140 = 2251014957576357
BaseRepresentation
bin1001000110111010001100…
…0011000000010111110100
31022110100200002011222210021
42101232203003000113310
52303033243341204030
633144301410334524
72052336536365243
oct221564303002764
938410602158707
1010014304241140
113211051743111
121158a0a28a444
135784637bb734
142689a2ba095a
15125765b2197a
hex91ba30c05f4

10014304241140 has 24 divisors (see below), whose sum is σ = 21238257117672. Its totient is φ = 3966061084800.

The previous prime is 10014304241077. The next prime is 10014304241143. The reversal of 10014304241140 is 4114240341001.

It can be written as a sum of positive squares in 4 ways, for example, as 1205731371364 + 8808572869776 = 1098058^2 + 2967924^2 .

It is a super-2 number, since 2×100143042411402 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10014304241143) 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 7 ways as a sum of consecutive naturals, for example, 2478786159 + ... + 2478790198.

It is an arithmetic number, because the mean of its divisors is an integer number (884927379903).

Almost surely, 210014304241140 is an apocalyptic number.

10014304241140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10014304241140 is an abundant number, since it is smaller than the sum of its proper divisors (11223952876532).

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

10014304241140 is a wasteful number, since it uses less digits than its factorization.

10014304241140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4957576467 (or 4957576465 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 25.

Adding to 10014304241140 its reverse (4114240341001), we get a palindrome (14128544582141).

The spelling of 10014304241140 in words is "ten trillion, fourteen billion, three hundred four million, two hundred forty-one thousand, one hundred forty".

Divisors: 1 2 4 5 10 20 101 202 404 505 1010 2020 4957576357 9915152714 19830305428 24787881785 49575763570 99151527140 500715212057 1001430424114 2002860848228 2503576060285 5007152120570 10014304241140