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7042314240000 = 2153254132939
BaseRepresentation
bin110011001111010101010…
…1000111000000000000000
3220221020102222200002100100
41212132222220320000000
51410340124421140000
622551110002322400
71324535053241334
oct146365250700000
926836388602310
107042314240000
1122756a0883126
12958a20959400
133c1119c9a770
141a4bc7cdb7c4
15c32c046ba00
hex667aaa38000

7042314240000 has 960 divisors, whose sum is σ = 27386911351800. Its totient is φ = 1732902912000.

The previous prime is 7042314239993. The next prime is 7042314240011. The reversal of 7042314240000 is 424132407.

7042314240000 is a `hidden beast` number, since 7 + 0 + 4 + 231 + 424 + 0 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 2396158531 + ... + 2396161469.

Almost surely, 27042314240000 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 7042314240000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13693455675900).

7042314240000 is an abundant number, since it is smaller than the sum of its proper divisors (20344597111800).

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

7042314240000 is an equidigital number, since it uses as much as digits as its factorization.

7042314240000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3008 (or 2962 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 27.

Adding to 7042314240000 its reverse (424132407), we get a palindrome (7042738372407).

The spelling of 7042314240000 in words is "seven trillion, forty-two billion, three hundred fourteen million, two hundred forty thousand".