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1440214120441 = 17241351528953
BaseRepresentation
bin10100111101010011011…
…100110111011111111001
312002200102222221210000001
4110331103130313133321
5142044024303323231
63021343014513001
7206023564015465
oct24752334673771
95080388853001
101440214120441
11505878363178
121b3158965761
13a5a72148905
144d9c73d34a5
15276e383eb61
hex14f537377f9

1440214120441 has 8 divisors (see below), whose sum is σ = 1531260123624. Its totient is φ = 1349871175680.

The previous prime is 1440214120421. The next prime is 1440214120493.

1440214120441 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 4 ways, for example, as 783984514041 + 656229606400 = 885429^2 + 810080^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-1440214120441 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1440214120421) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 175760380 + ... + 175768573.

It is an arithmetic number, because the mean of its divisors is an integer number (191407515453).

Almost surely, 21440214120441 is an apocalyptic number.

It is an amenable number.

1440214120441 is a deficient number, since it is larger than the sum of its proper divisors (91046003183).

1440214120441 is a wasteful number, since it uses less digits than its factorization.

1440214120441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 351529211.

The product of its (nonzero) digits is 4096, while the sum is 28.

The spelling of 1440214120441 in words is "one trillion, four hundred forty billion, two hundred fourteen million, one hundred twenty thousand, four hundred forty-one".

Divisors: 1 17 241 4097 351528953 5975992201 84718477673 1440214120441