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144221134304 = 25131918246601
BaseRepresentation
bin1000011001010000111…
…1111101110111100000
3111210021000111201102202
42012110033331313200
54330331102244204
6150130531232332
713263635262212
oct2062417756740
9453230451382
10144221134304
1156189085895
1223b4b4486a8
13107a525a4c0
146da20a65b2
153b415c7e1e
hex21943fdde0

144221134304 has 48 divisors (see below), whose sum is σ = 321870059280. Its totient is φ = 63060249600.

The previous prime is 144221134303. The next prime is 144221134313. The reversal of 144221134304 is 403431122441.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144221134301) 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, 9115397 + ... + 9131204.

It is an arithmetic number, because the mean of its divisors is an integer number (6705626235).

Almost surely, 2144221134304 is an apocalyptic number.

It is an amenable number.

144221134304 is an abundant number, since it is smaller than the sum of its proper divisors (177648924976).

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

144221134304 is a wasteful number, since it uses less digits than its factorization.

144221134304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18246643 (or 18246635 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 29.

Adding to 144221134304 its reverse (403431122441), we get a palindrome (547652256745).

The spelling of 144221134304 in words is "one hundred forty-four billion, two hundred twenty-one million, one hundred thirty-four thousand, three hundred four".

Divisors: 1 2 4 8 13 16 19 26 32 38 52 76 104 152 208 247 304 416 494 608 988 1976 3952 7904 18246601 36493202 72986404 145972808 237205813 291945616 346685419 474411626 583891232 693370838 948823252 1386741676 1897646504 2773483352 3795293008 4506910447 5546966704 7590586016 9013820894 11093933408 18027641788 36055283576 72110567152 144221134304