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144126407405 = 5172092981017
BaseRepresentation
bin1000011000111010011…
…0100111001011101101
3111210000102021002120002
42012032212213023231
54330132330014110
6150113305034045
713261405151411
oct2061646471355
9453012232502
10144126407405
115613a6660a2
1223b23785925
131078b741b96
146d93688d41
153b38115aa5
hex218e9a72ed

144126407405 has 16 divisors (see below), whose sum is σ = 183136327920. Its totient is φ = 108512182272.

The previous prime is 144126407401. The next prime is 144126407407. The reversal of 144126407405 is 504704621441.

It can be written as a sum of positive squares in 8 ways, for example, as 24795541156 + 119330866249 = 157466^2 + 345443^2 .

It is a cyclic number.

It is not a de Polignac number, because 144126407405 - 22 = 144126407401 is a prime.

It is a super-2 number, since 2×1441264074052 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144126407401) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1738457 + ... + 1819473.

It is an arithmetic number, because the mean of its divisors is an integer number (11446020495).

Almost surely, 2144126407405 is an apocalyptic number.

It is an amenable number.

144126407405 is a deficient number, since it is larger than the sum of its proper divisors (39009920515).

144126407405 is a wasteful number, since it uses less digits than its factorization.

144126407405 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101968.

The product of its (nonzero) digits is 107520, while the sum is 38.

The spelling of 144126407405 in words is "one hundred forty-four billion, one hundred twenty-six million, four hundred seven thousand, four hundred five".

Divisors: 1 5 17 85 20929 81017 104645 355793 405085 1377289 1778965 6886445 1695604793 8478023965 28825281481 144126407405