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1043240310144 = 273219311094231
BaseRepresentation
bin11110010111001011111…
…01111101010110000000
310200201210012200202212100
433023211331331112000
5114043024004411034
62115131420230400
7135241316216124
oct17134575752600
93621705622770
101043240310144
11372487a599aa
1214a22b09b400
13774b9761686
14386c90d3584
151c20c960099
hexf2e5f7d580

1043240310144 has 192 divisors, whose sum is σ = 3021022087200. Its totient is φ = 345551339520.

The previous prime is 1043240310143. The next prime is 1043240310157. The reversal of 1043240310144 is 4410130423401.

1043240310144 is a `hidden beast` number, since 10 + 4 + 324 + 0 + 310 + 14 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1043240310143) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 246568509 + ... + 246572739.

Almost surely, 21043240310144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1043240310144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1510511043600).

1043240310144 is an abundant number, since it is smaller than the sum of its proper divisors (1977781777056).

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

1043240310144 is a wasteful number, since it uses less digits than its factorization.

1043240310144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5553 (or 5538 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 1043240310144 its reverse (4410130423401), we get a palindrome (5453370733545).

The spelling of 1043240310144 in words is "one trillion, forty-three billion, two hundred forty million, three hundred ten thousand, one hundred forty-four".