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30401435045241 = 3213279792900009
BaseRepresentation
bin1101110100110011000101…
…01111001000110101111001
310222122100102021112222110200
412322121202233020311321
512441044114332421431
6144354120525232413
76255300621103461
oct672314257106571
9128570367488420
1030401435045241
1197611a3579157
1234b0003102709
1313c6ac6179590
14771619d84ba1
1537ac2768aee6
hex1ba662bc8d79

30401435045241 has 24 divisors (see below), whose sum is σ = 47308029492360. Its totient is φ = 18701886410496.

The previous prime is 30401435045221. The next prime is 30401435045249. The reversal of 30401435045241 is 14254053410403.

30401435045241 is a `hidden beast` number, since 3 + 0 + 4 + 0 + 143 + 504 + 5 + 2 + 4 + 1 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 3667209680016 + 26734225365225 = 1914996^2 + 5170515^2 .

It is not a de Polignac number, because 30401435045241 - 234 = 30384255176057 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 30401435045196 and 30401435045205.

It is not an unprimeable number, because it can be changed into a prime (30401435045249) 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, 46122756 + ... + 46777253.

It is an arithmetic number, because the mean of its divisors is an integer number (1971167895515).

Almost surely, 230401435045241 is an apocalyptic number.

It is an amenable number.

30401435045241 is a deficient number, since it is larger than the sum of its proper divisors (16906594447119).

30401435045241 is a wasteful number, since it uses less digits than its factorization.

30401435045241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92902825 (or 92902822 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 36.

Adding to 30401435045241 its reverse (14254053410403), we get a palindrome (44655488455644).

The spelling of 30401435045241 in words is "thirty trillion, four hundred one billion, four hundred thirty-five million, forty-five thousand, two hundred forty-one".

Divisors: 1 3 9 13 39 117 2797 8391 25173 36361 109083 327249 92900009 278700027 836100081 1207700117 3623100351 10869301053 259841325173 779523975519 2338571926557 3377937227249 10133811681747 30401435045241