Search a number
-
+
1144134042104 = 234113672551729
BaseRepresentation
bin10000101001100011101…
…101000000000111111000
311001101012200001101212202
4100221203231000013320
5122221141303321404
62233335151125332
7145442464616144
oct20514355000770
94041180041782
101144134042104
11401251926059
121658a8213848
1383b784817a1
143d53ab1c224
151eb6538921e
hex10a63b401f8

1144134042104 has 32 divisors (see below), whose sum is σ = 2199182983200. Its totient is φ = 557705671680.

The previous prime is 1144134042053. The next prime is 1144134042133. The reversal of 1144134042104 is 4012404314411.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 827489 + ... + 1724240.

It is an arithmetic number, because the mean of its divisors is an integer number (68724468225).

Almost surely, 21144134042104 is an apocalyptic number.

It is an amenable number.

1144134042104 is a deficient number, since it is larger than the sum of its proper divisors (1055048941096).

1144134042104 is a wasteful number, since it uses less digits than its factorization.

1144134042104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2553143 (or 2553139 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 29.

Adding to 1144134042104 its reverse (4012404314411), we get a palindrome (5156538356515).

The spelling of 1144134042104 in words is "one trillion, one hundred forty-four billion, one hundred thirty-four million, forty-two thousand, one hundred four".

Divisors: 1 2 4 8 41 82 164 328 1367 2734 5468 10936 56047 112094 224188 448376 2551729 5103458 10206916 20413832 104620889 209241778 418483556 836967112 3488213543 6976427086 13952854172 27905708344 143016755263 286033510526 572067021052 1144134042104