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1444431001014 = 23514929199081
BaseRepresentation
bin10101000001001110110…
…010111111010110110110
312010002022212202111200000
4111001032302333112312
5142131143314013024
63023321253132130
7206233226634111
oct25011662772666
95102285674600
101444431001014
11507641709a41
121b3b3502a046
13a6294984c11
144dca7481578
152788db55cc9
hex1504ecbf5b6

1444431001014 has 48 divisors (see below), whose sum is σ = 3245745331920. Its totient is φ = 481442330880.

The previous prime is 1444431000967. The next prime is 1444431001021. The reversal of 1444431001014 is 4101001344441.

1444431001014 is a `hidden beast` number, since 14 + 4 + 443 + 100 + 101 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7155954 + ... + 7355034.

It is an arithmetic number, because the mean of its divisors is an integer number (67619694415).

Almost surely, 21444431001014 is an apocalyptic number.

1444431001014 is an abundant number, since it is smaller than the sum of its proper divisors (1801314330906).

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

1444431001014 is a wasteful number, since it uses less digits than its factorization.

1444431001014 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 214027 (or 214015 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

Adding to 1444431001014 its reverse (4101001344441), we get a palindrome (5545432345455).

The spelling of 1444431001014 in words is "one trillion, four hundred forty-four billion, four hundred thirty-one million, one thousand, fourteen".

Divisors: 1 2 3 6 9 18 27 54 81 162 243 486 14929 29858 44787 89574 134361 199081 268722 398162 403083 597243 806166 1194486 1209249 1791729 2418498 3583458 3627747 5375187 7255494 10750374 16125561 32251122 48376683 96753366 2972080249 5944160498 8916240747 17832481494 26748722241 53497444482 80246166723 160492333446 240738500169 481477000338 722215500507 1444431001014