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144531935405 = 51121318376597
BaseRepresentation
bin1000011010011011000…
…1100101000010101101
3111211001200100001101122
42012212301211002231
54332000133413110
6150221432550325
713304431115654
oct2064661450255
9454050301348
10144531935405
1156328567300
12240175523a5
131082476a690
146dd148c19b
153b5da1c255
hex21a6c650ad

144531935405 has 24 divisors (see below), whose sum is σ = 205303352856. Its totient is φ = 97028426880.

The previous prime is 144531935399. The next prime is 144531935419. The reversal of 144531935405 is 504539135441.

It can be written as a sum of positive squares in 4 ways, for example, as 202606756 + 144329328649 = 14234^2 + 379907^2 .

It is not a de Polignac number, because 144531935405 - 222 = 144527741101 is a prime.

It is a Duffinian number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9180434 + ... + 9196163.

It is an arithmetic number, because the mean of its divisors is an integer number (8554306369).

Almost surely, 2144531935405 is an apocalyptic number.

It is an amenable number.

144531935405 is a deficient number, since it is larger than the sum of its proper divisors (60771417451).

144531935405 is a wasteful number, since it uses less digits than its factorization.

144531935405 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18376637 (or 18376626 counting only the distinct ones).

The product of its (nonzero) digits is 648000, while the sum is 44.

Subtracting 144531935405 from its reverse (504539135441), we obtain a square (360007200036 = 6000062).

The spelling of 144531935405 in words is "one hundred forty-four billion, five hundred thirty-one million, nine hundred thirty-five thousand, four hundred five".

Divisors: 1 5 11 13 55 65 121 143 605 715 1573 7865 18376597 91882985 202142567 238895761 1010712835 1194478805 2223568237 2627853371 11117841185 13139266855 28906387081 144531935405