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1104444133431 = 34110387176899
BaseRepresentation
bin10000000100100110000…
…000000001000000110111
310220120202121111010201020
4100010212000001000313
5121043400144232211
62203212530432223
7142536104144532
oct20044600010067
93816677433636
101104444133431
11396434a14241
1215a070132673
13801c1721322
143b6537cda19
151dae0c06306
hex10126001037

1104444133431 has 16 divisors (see below), whose sum is σ = 1523154796800. Its totient is φ = 711363487680.

The previous prime is 1104444133411. The next prime is 1104444133451. The reversal of 1104444133431 is 1343314444011.

It is an interprime number because it is at equal distance from previous prime (1104444133411) and next prime (1104444133451).

It is not a de Polignac number, because 1104444133431 - 26 = 1104444133367 is a prime.

It is a super-4 number, since 4×11044441334314 (a number of 49 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 1104444133392 and 1104444133401.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1104444133411) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 43575781 + ... + 43601118.

It is an arithmetic number, because the mean of its divisors is an integer number (95197174800).

Almost surely, 21104444133431 is an apocalyptic number.

1104444133431 is a deficient number, since it is larger than the sum of its proper divisors (418710663369).

1104444133431 is a wasteful number, since it uses less digits than its factorization.

1104444133431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87177046.

The product of its (nonzero) digits is 27648, while the sum is 33.

Adding to 1104444133431 its reverse (1343314444011), we get a palindrome (2447758577442).

The spelling of 1104444133431 in words is "one trillion, one hundred four billion, four hundred forty-four million, one hundred thirty-three thousand, four hundred thirty-one".

Divisors: 1 3 41 103 123 309 4223 12669 87176899 261530697 3574252859 8979220597 10722758577 26937661791 368148044477 1104444133431