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1340445510441 = 321674297207551
BaseRepresentation
bin10011100000011000110…
…001110100101100101001
311202010220221201021011100
4103200120301310230221
5133430213022313231
62503443035152013
7165562326562422
oct23403061645451
94663827637140
101340445510441
114775305aa884
121979545a5609
139953256403b
1448c40da6649
1524d04ab01e6
hex13818c74b29

1340445510441 has 24 divisors (see below), whose sum is σ = 1948255755264. Its totient is φ = 888068260800.

The previous prime is 1340445510331. The next prime is 1340445510539. The reversal of 1340445510441 is 1440155440431.

1340445510441 is a `hidden beast` number, since 134 + 0 + 4 + 4 + 5 + 510 + 4 + 4 + 1 = 666.

It is not a de Polignac number, because 1340445510441 - 223 = 1340437121833 is a prime.

It is a super-2 number, since 2×13404455104412 (a number of 25 digits) contains 22 as substring.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 1340445510396 and 1340445510405.

It is not an unprimeable number, because it can be changed into a prime (1340445510641) 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, 6354616 + ... + 6562166.

It is an arithmetic number, because the mean of its divisors is an integer number (81177323136).

Almost surely, 21340445510441 is an apocalyptic number.

It is an amenable number.

1340445510441 is a deficient number, since it is larger than the sum of its proper divisors (607810244823).

1340445510441 is a wasteful number, since it uses less digits than its factorization.

1340445510441 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 212021 (or 212018 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 36.

The spelling of 1340445510441 in words is "one trillion, three hundred forty billion, four hundred forty-five million, five hundred ten thousand, four hundred forty-one".

Divisors: 1 3 9 167 501 1503 4297 12891 38673 207551 622653 717599 1867959 2152797 6458391 34661017 103983051 311949153 891846647 2675539941 8026619823 148938390049 446815170147 1340445510441