Search a number
-
+
144261126366 = 2373434788723
BaseRepresentation
bin1000011001011010100…
…0100001100011011110
3111210100210202112020020
42012112220201203132
54330421322020431
6150134520333010
713264632225150
oct2062650414336
9453323675206
10144261126366
11561a9710485
1223b60914166
13107b0620546
146da7516ad0
153b44d77696
hex2196a218de

144261126366 has 16 divisors (see below), whose sum is σ = 329739717504. Its totient is φ = 41217464664.

The previous prime is 144261126341. The next prime is 144261126589. The reversal of 144261126366 is 663621162441.

It is a super-2 number, since 2×1442611263662 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42), and also a Moran number because the ratio is a prime number: 3434788723 = 144261126366 / (1 + 4 + 4 + 2 + 6 + 1 + 1 + 2 + 6 + 3 + 6 + 6).

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 7 ways as a sum of consecutive naturals, for example, 1717394320 + ... + 1717394403.

It is an arithmetic number, because the mean of its divisors is an integer number (20608732344).

Almost surely, 2144261126366 is an apocalyptic number.

144261126366 is an abundant number, since it is smaller than the sum of its proper divisors (185478591138).

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

144261126366 is a wasteful number, since it uses less digits than its factorization.

144261126366 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3434788735.

The product of its digits is 248832, while the sum is 42.

The spelling of 144261126366 in words is "one hundred forty-four billion, two hundred sixty-one million, one hundred twenty-six thousand, three hundred sixty-six".

Divisors: 1 2 3 6 7 14 21 42 3434788723 6869577446 10304366169 20608732338 24043521061 48087042122 72130563183 144261126366