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1304220305142 = 233167144624119
BaseRepresentation
bin10010111110101001100…
…101101000011011110110
311121200102100121011112000
4102332221211220123312
5132332020344231032
62435052303240130
7163140536452116
oct22765145503366
94550370534460
101304220305142
114631313a7987
121909248a9046
1395cab562411
14471a5c89046
1523dd46b5e7c
hex12fa99686f6

1304220305142 has 32 divisors (see below), whose sum is σ = 2915622259200. Its totient is φ = 432136864584.

The previous prime is 1304220305117. The next prime is 1304220305147. The reversal of 1304220305142 is 2415030224031.

1304220305142 is a `hidden beast` number, since 130 + 4 + 220 + 305 + 1 + 4 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1304220305147) 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 15 ways as a sum of consecutive naturals, for example, 72303042 + ... + 72321077.

It is an arithmetic number, because the mean of its divisors is an integer number (91113195600).

Almost surely, 21304220305142 is an apocalyptic number.

1304220305142 is an abundant number, since it is smaller than the sum of its proper divisors (1611401954058).

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

1304220305142 is a wasteful number, since it uses less digits than its factorization.

1304220305142 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144624297 (or 144624291 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

Adding to 1304220305142 its reverse (2415030224031), we get a palindrome (3719250529173).

The spelling of 1304220305142 in words is "one trillion, three hundred four billion, two hundred twenty million, three hundred five thousand, one hundred forty-two".

Divisors: 1 2 3 6 9 18 27 54 167 334 501 1002 1503 3006 4509 9018 144624119 289248238 433872357 867744714 1301617071 2603234142 3904851213 7809702426 24152227873 48304455746 72456683619 144913367238 217370050857 434740101714 652110152571 1304220305142