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1044007340769 = 3343899231129
BaseRepresentation
bin11110011000100111010…
…11111100101011100001
310200210202122222222002000
433030103223330223201
5114101111334401034
62115335500314213
7135266321656041
oct17142353745341
93623678888060
101044007340769
11372840a21408
1214a403b42969
13775ac63cb53
143875cd19721
151c254e73599
hexf313afcae1

1044007340769 has 16 divisors (see below), whose sum is σ = 1582646788800. Its totient is φ = 679818732768.

The previous prime is 1044007340767. The next prime is 1044007340813. The reversal of 1044007340769 is 9670437004401.

1044007340769 is a `hidden beast` number, since 104 + 400 + 73 + 4 + 0 + 76 + 9 = 666.

It is not a de Polignac number, because 1044007340769 - 21 = 1044007340767 is a prime.

It is a super-2 number, since 2×10440073407692 (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1044007340767) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 449614404 + ... + 449616725.

It is an arithmetic number, because the mean of its divisors is an integer number (98915424300).

Almost surely, 21044007340769 is an apocalyptic number.

It is an amenable number.

1044007340769 is a deficient number, since it is larger than the sum of its proper divisors (538639448031).

1044007340769 is an equidigital number, since it uses as much as digits as its factorization.

1044007340769 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 899231181 (or 899231175 counting only the distinct ones).

The product of its (nonzero) digits is 508032, while the sum is 45.

The spelling of 1044007340769 in words is "one trillion, forty-four billion, seven million, three hundred forty thousand, seven hundred sixty-nine".

Divisors: 1 3 9 27 43 129 387 1161 899231129 2697693387 8093080161 24279240483 38666938547 116000815641 348002446923 1044007340769