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412410133130420 = 225181113925451141
BaseRepresentation
bin101110111000101011011011…
…1011111001010110010110100
32000002020000122021011221122202
41131301112313133022302310
5413023411423040133140
64021042333305244032
7152603435362020215
oct13561266737126264
92002200567157582
10412410133130420
1110a452178707747
123a307a1b193618
1314917154a09719
1473baa850c540c
1532a2b02351915
hex17715b77cacb4

412410133130420 has 24 divisors (see below), whose sum is σ = 870846148529448. Its totient is φ = 164052649641600.

The previous prime is 412410133130407. The next prime is 412410133130423. The reversal of 412410133130420 is 24031331014214.

It can be written as a sum of positive squares in 4 ways, for example, as 7501485565456 + 404908647564964 = 2738884^2 + 20122342^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (412410133130423) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 56962721951 + ... + 56962729190.

It is an arithmetic number, because the mean of its divisors is an integer number (36285256188727).

Almost surely, 2412410133130420 is an apocalyptic number.

It is an amenable number.

412410133130420 is an abundant number, since it is smaller than the sum of its proper divisors (458436015399028).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

412410133130420 is a wasteful number, since it uses less digits than its factorization.

412410133130420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113925451331 (or 113925451329 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 29.

Adding to 412410133130420 its reverse (24031331014214), we get a palindrome (436441464144634).

The spelling of 412410133130420 in words is "four hundred twelve trillion, four hundred ten billion, one hundred thirty-three million, one hundred thirty thousand, four hundred twenty".

Divisors: 1 2 4 5 10 20 181 362 724 905 1810 3620 113925451141 227850902282 455701804564 569627255705 1139254511410 2278509022820 20620506656521 41241013313042 82482026626084 103102533282605 206205066565210 412410133130420