Search a number
-
+
1044041131044 = 2232254311404303
BaseRepresentation
bin11110011000101011011…
…00110110010000100100
310200210212000120200121200
433030111230312100210
5114101144012143134
62115343104442500
7135300212122002
oct17142554662044
93623760520550
101044041131044
1137285900055a
1214a413319430
13775b66410b2
14387635d3a72
151c257dea499
hexf315b36424

1044041131044 has 36 divisors (see below), whose sum is σ = 2640141993216. Its totient is φ = 347876828208.

The previous prime is 1044041131039. The next prime is 1044041131139. The reversal of 1044041131044 is 4401311404401.

1044041131044 is a `hidden beast` number, since 1 + 0 + 440 + 4 + 113 + 104 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a junction number, because it is equal to n+sod(n) for n = 1044041130999 and 1044041131017.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5610604 + ... + 5793699.

Almost surely, 21044041131044 is an apocalyptic number.

It is an amenable number.

1044041131044 is an abundant number, since it is smaller than the sum of its proper divisors (1596100862172).

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

1044041131044 is a wasteful number, since it uses less digits than its factorization.

1044041131044 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11406856 (or 11406851 counting only the distinct ones).

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

Adding to 1044041131044 its reverse (4401311404401), we get a palindrome (5445352535445).

The spelling of 1044041131044 in words is "one trillion, forty-four billion, forty-one million, one hundred thirty-one thousand, forty-four".

Divisors: 1 2 3 4 6 9 12 18 36 2543 5086 7629 10172 15258 22887 30516 45774 91548 11404303 22808606 34212909 45617212 68425818 102638727 136851636 205277454 410554908 29001142529 58002285058 87003427587 116004570116 174006855174 261010282761 348013710348 522020565522 1044041131044