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144106310365 = 5232371472501
BaseRepresentation
bin1000011000110101100…
…1111100101011011101
3111202222000110001121021
42012031121330223131
54330112203412430
6150111310204141
713261042266433
oct2061531745335
9452860401537
10144106310365
115612a289976
1223b18ab3651
1310787526544
146d90b36d53
153b3649607a
hex218d67cadd

144106310365 has 24 divisors (see below), whose sum is σ = 185658942168. Its totient is φ = 107292240000.

The previous prime is 144106310333. The next prime is 144106310371. The reversal of 144106310365 is 563013601441.

It can be written as a sum of positive squares in 4 ways, for example, as 23457066649 + 120649243716 = 153157^2 + 347346^2 .

It is not a de Polignac number, because 144106310365 - 25 = 144106310333 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 144106310365.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 638386 + ... + 834115.

It is an arithmetic number, because the mean of its divisors is an integer number (7735789257).

Almost surely, 2144106310365 is an apocalyptic number.

It is an amenable number.

144106310365 is a deficient number, since it is larger than the sum of its proper divisors (41552631803).

144106310365 is a wasteful number, since it uses less digits than its factorization.

144106310365 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1472589 (or 1472566 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 34.

The spelling of 144106310365 in words is "one hundred forty-four billion, one hundred six million, three hundred ten thousand, three hundred sixty-five".

Divisors: 1 5 23 37 115 185 529 851 2645 4255 19573 97865 1472501 7362505 33867523 54482537 169337615 272412685 778953029 1253098351 3894765145 6265491755 28821262073 144106310365