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144221221014 = 23132187375937
BaseRepresentation
bin1000011001010001000…
…0010011000010010110
3111210021000200010101020
42012110100103002112
54330331113033024
6150130533142010
713263636103053
oct2062420230226
9453230603336
10144221221014
1156189134a52
1223b4b48a906
13107a528ab00
146da20ca02a
153b415e3979
hex2194413096

144221221014 has 48 divisors (see below), whose sum is σ = 312507955152. Its totient is φ = 44351483904.

The previous prime is 144221220959. The next prime is 144221221031. The reversal of 144221221014 is 410122122441.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1861254 + ... + 1937190.

It is an arithmetic number, because the mean of its divisors is an integer number (6510582399).

Almost surely, 2144221221014 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 144221221014, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156253977576).

144221221014 is an abundant number, since it is smaller than the sum of its proper divisors (168286734138).

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

144221221014 is a wasteful number, since it uses less digits than its factorization.

144221221014 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77841 (or 77828 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 24.

Adding to 144221221014 its reverse (410122122441), we get a palindrome (554343343455).

The spelling of 144221221014 in words is "one hundred forty-four billion, two hundred twenty-one million, two hundred twenty-one thousand, fourteen".

Divisors: 1 2 3 6 13 26 39 78 169 338 507 1014 1873 3746 5619 11238 24349 48698 73047 75937 146094 151874 227811 316537 455622 633074 949611 987181 1899222 1974362 2961543 5923086 12833353 25666706 38500059 77000118 142230001 284460002 426690003 853380006 1848990013 3697980026 5546970039 11093940078 24036870169 48073740338 72110610507 144221221014