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415020146241 = 353113149155027
BaseRepresentation
bin1100000101000010010…
…00001101111001000001
31110200020110121212010110
412002201020031321001
523244430124134431
6514354014021533
741661405015561
oct6024110157101
91420213555113
10415020146241
111500110645a8
12685254a78a9
13301a03bc23c
1416130d4cda1
15abe038c346
hex60a120de41

415020146241 has 32 divisors (see below), whose sum is σ = 572611420800. Its totient is φ = 267249941504.

The previous prime is 415020146239. The next prime is 415020146249. The reversal of 415020146241 is 142641020514.

It is a cyclic number.

It is not a de Polignac number, because 415020146241 - 21 = 415020146239 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 415020146199 and 415020146208.

It is not an unprimeable number, because it can be changed into a prime (415020146249) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2599570 + ... + 2754596.

It is an arithmetic number, because the mean of its divisors is an integer number (17894106900).

Almost surely, 2415020146241 is an apocalyptic number.

It is an amenable number.

415020146241 is a deficient number, since it is larger than the sum of its proper divisors (157591274559).

415020146241 is a wasteful number, since it uses less digits than its factorization.

415020146241 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 155345.

The product of its (nonzero) digits is 7680, while the sum is 30.

Adding to 415020146241 its reverse (142641020514), we get a palindrome (557661166755).

The spelling of 415020146241 in words is "four hundred fifteen billion, twenty million, one hundred forty-six thousand, two hundred forty-one".

Divisors: 1 3 53 113 149 159 339 447 5989 7897 16837 17967 23691 50511 155027 465081 892361 2677083 8216431 17518051 23099023 24649293 52554153 69297069 928456703 1224248219 2610189599 2785370109 3672744657 7830568797 138340048747 415020146241