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1443114113441 = 711213131061131
BaseRepresentation
bin10101000000000000010…
…011011101100110100001
312002221221002210200112012
4111000000103131212201
5142120444203112231
63022542451442305
7206155466366540
oct25000023354641
95087832720465
101443114113441
11507026327900
121b3827bb6395
13a6114bb63c0
144dbc0606157
152781322be2b
hex150004dd9a1

1443114113441 has 24 divisors (see below), whose sum is σ = 1952286622272. Its totient is φ = 1038004149600.

The previous prime is 1443114113377. The next prime is 1443114113471.

1443114113441 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 1443114113441 - 26 = 1443114113377 is a prime.

It is a Smith number, since the sum of its digits (32) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 1443114113398 and 1443114113407.

It is not an unprimeable number, because it can be changed into a prime (1443114113471) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 65519555 + ... + 65541576.

It is an arithmetic number, because the mean of its divisors is an integer number (81345275928).

Almost surely, 21443114113441 is an apocalyptic number.

1443114113441 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1443114113441 is a deficient number, since it is larger than the sum of its proper divisors (509172508831).

1443114113441 is a wasteful number, since it uses less digits than its factorization.

1443114113441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131061173 (or 131061162 counting only the distinct ones).

The product of its digits is 9216, while the sum is 32.

The spelling of 1443114113441 in words is "one trillion, four hundred forty-three billion, one hundred fourteen million, one hundred thirteen thousand, four hundred forty-one".

Divisors: 1 7 11 13 77 91 121 143 847 1001 1573 11011 131061131 917427917 1441672441 1703794703 10091707087 11926562921 15858396851 18741741733 111008777957 131192192131 206159159063 1443114113441