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1431444441341 = 10170792002079
BaseRepresentation
bin10100110101001000101…
…111001100100011111101
312001211210211020220212102
4110311020233030203331
5141423044234110331
63013332502114445
7205263345665105
oct24651057144375
95054724226772
101431444441341
115020880844a2
121b150ba1ba25
13a4ca530a995
144d3d4814205
152737d9ab4cb
hex14d48bcc8fd

1431444441341 has 8 divisors (see below), whose sum is σ = 1445822092800. Its totient is φ = 1417070808400.

The previous prime is 1431444441313. The next prime is 1431444441391.

1431444441341 is nontrivially palindromic in base 10.

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

It is a cyclic number.

It is not a de Polignac number, because 1431444441341 - 226 = 1431377332477 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1431444441295 and 1431444441304.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1431444441391) 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, 286061 + ... + 1716018.

It is an arithmetic number, because the mean of its divisors is an integer number (180727761600).

Almost surely, 21431444441341 is an apocalyptic number.

It is an amenable number.

1431444441341 is a deficient number, since it is larger than the sum of its proper divisors (14377651459).

1431444441341 is a wasteful number, since it uses less digits than its factorization.

1431444441341 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2009259.

The product of its digits is 147456, while the sum is 38.

The spelling of 1431444441341 in words is "one trillion, four hundred thirty-one billion, four hundred forty-four million, four hundred forty-one thousand, three hundred forty-one".

Divisors: 1 101 7079 714979 2002079 202209979 14172717241 1431444441341