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144040043220020 = 22546477154958413
BaseRepresentation
bin100000110000000011101111…
…100111000000110000110100
3200220000002112021022120202022
4200300003233213000300310
5122334423002031020040
61230203025442132312
742224356356041663
oct4060035747006064
9626002467276668
10144040043220020
1141994048310782
12141a3b13051098
13624abc1511a5c
14277d80a848dda
15119bc2ab696b5
hex8300ef9c0c34

144040043220020 has 24 divisors (see below), whose sum is σ = 302490600967464. Its totient is φ = 57614777248896.

The previous prime is 144040043220019. The next prime is 144040043220041. The reversal of 144040043220020 is 20022340040441.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 34004432894224 + 110035610325796 = 5831332^2 + 10489786^2 .

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 76549667 + ... + 78408746.

It is an arithmetic number, because the mean of its divisors is an integer number (12603775040311).

Almost surely, 2144040043220020 is an apocalyptic number.

144040043220020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

144040043220020 is an abundant number, since it is smaller than the sum of its proper divisors (158450557747444).

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

144040043220020 is a wasteful number, since it uses less digits than its factorization.

144040043220020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 155004899 (or 155004897 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 26.

Adding to 144040043220020 its reverse (20022340040441), we get a palindrome (164062383260461).

The spelling of 144040043220020 in words is "one hundred forty-four trillion, forty billion, forty-three million, two hundred twenty thousand, twenty".

Divisors: 1 2 4 5 10 20 46477 92954 185908 232385 464770 929540 154958413 309916826 619833652 774792065 1549584130 3099168260 7202002161001 14404004322002 28808008644004 36010010805005 72020021610010 144040043220020