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2041443442404 = 2232376912217967
BaseRepresentation
bin11101101101001111100…
…000101101111011100100
321020011022200222212012100
4131231033200231323210
5231421334010124104
64201454241452100
7300326604644532
oct35551740557344
97204280885170
102041443442404
1171785366a533
1228b78b341030
1311a679695a62
1470b40a3b152
153818158b139
hex1db4f82dee4

2041443442404 has 72 divisors (see below), whose sum is σ = 5307455474048. Its totient is φ = 661131305280.

The previous prime is 2041443442403. The next prime is 2041443442417. The reversal of 2041443442404 is 4042443441402.

It is a happy number.

2041443442404 is a `hidden beast` number, since 204 + 1 + 4 + 4 + 3 + 4 + 42 + 404 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (2041443442403) 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, 188572 + ... + 2029395.

Almost surely, 22041443442404 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2041443442404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2653727737024).

2041443442404 is an abundant number, since it is smaller than the sum of its proper divisors (3266012031644).

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

2041443442404 is a wasteful number, since it uses less digits than its factorization.

2041443442404 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2218705 (or 2218700 counting only the distinct ones).

The product of its (nonzero) digits is 196608, while the sum is 36.

Adding to 2041443442404 its reverse (4042443441402), we get a palindrome (6083886883806).

The spelling of 2041443442404 in words is "two trillion, forty-one billion, four hundred forty-three million, four hundred forty-two thousand, four hundred four".

Divisors: 1 2 3 4 6 9 12 18 36 37 74 111 148 222 333 444 666 691 1332 1382 2073 2764 4146 6219 8292 12438 24876 25567 51134 76701 102268 153402 230103 306804 460206 920412 2217967 4435934 6653901 8871868 13307802 19961703 26615604 39923406 79846812 82064779 164129558 246194337 328259116 492388674 738583011 984777348 1477166022 1532615197 2954332044 3065230394 4597845591 6130460788 9195691182 13793536773 18391382364 27587073546 55174147092 56706762289 113413524578 170120286867 226827049156 340240573734 510360860601 680481147468 1020721721202 2041443442404