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10414041435 = 325733060449
BaseRepresentation
bin10011011001011100…
…11010100101011011
3222212202212010012100
421230232122211123
5132311443311220
64441213014443
7516032614560
oct115456324533
928782763170
1010414041435
114464500516
122027784423
13c9c706cc5
1470b140867
1540e3e6d90
hex26cb9a95b

10414041435 has 24 divisors (see below), whose sum is σ = 20629720800. Its totient is φ = 4760704512.

The previous prime is 10414041431. The next prime is 10414041461. The reversal of 10414041435 is 53414041401.

10414041435 is a `hidden beast` number, since 104 + 140 + 414 + 3 + 5 = 666.

It is not a de Polignac number, because 10414041435 - 22 = 10414041431 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10414041399 and 10414041408.

It is not an unprimeable number, because it can be changed into a prime (10414041431) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 16529910 + ... + 16530539.

It is an arithmetic number, because the mean of its divisors is an integer number (859571700).

Almost surely, 210414041435 is an apocalyptic number.

10414041435 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

10414041435 is a deficient number, since it is larger than the sum of its proper divisors (10215679365).

10414041435 is a wasteful number, since it uses less digits than its factorization.

10414041435 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33060467 (or 33060464 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

Adding to 10414041435 its reverse (53414041401), we get a palindrome (63828082836).

The spelling of 10414041435 in words is "ten billion, four hundred fourteen million, forty-one thousand, four hundred thirty-five".

Divisors: 1 3 5 7 9 15 21 35 45 63 105 315 33060449 99181347 165302245 231423143 297544041 495906735 694269429 1157115715 1487720205 2082808287 3471347145 10414041435