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144221420031 = 31317217528537
BaseRepresentation
bin1000011001010001000…
…1000011100111111111
3111210021001001020101020
42012110101003213333
54330331140420111
6150130541315223
713263640562223
oct2062421034777
9453231036336
10144221420031
1156189260527
1223b4b565b13
13107a532a580
146da213c783
153b41632906
hex21944439ff

144221420031 has 16 divisors (see below), whose sum is σ = 219268766304. Its totient is φ = 83530957824.

The previous prime is 144221420017. The next prime is 144221420033. The reversal of 144221420031 is 130024122441.

144221420031 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 144221420031 - 26 = 144221419967 is a prime.

It is a super-2 number, since 2×1442214200312 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 144221419983 and 144221420010.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144221420033) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 108763606 + ... + 108764931.

It is an arithmetic number, because the mean of its divisors is an integer number (13704297894).

Almost surely, 2144221420031 is an apocalyptic number.

144221420031 is a deficient number, since it is larger than the sum of its proper divisors (75047346273).

144221420031 is a wasteful number, since it uses less digits than its factorization.

144221420031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 217528570.

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 144221420031 its reverse (130024122441), we get a palindrome (274245542472).

The spelling of 144221420031 in words is "one hundred forty-four billion, two hundred twenty-one million, four hundred twenty thousand, thirty-one".

Divisors: 1 3 13 17 39 51 221 663 217528537 652585611 2827870981 3697985129 8483612943 11093955387 48073806677 144221420031