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412410141 = 3211131372339
BaseRepresentation
bin11000100101001…
…110000100011101
31001202000121100200
4120211032010131
51321034111031
6104531214113
713135266633
oct3045160435
91052017320
10412410141
111a1881930
12b6147339
1367598190
143cab5353
15263158e6
hex1894e11d

412410141 has 48 divisors (see below), whose sum is σ = 705257280. Its totient is φ = 228936960.

The previous prime is 412410137. The next prime is 412410149. The reversal of 412410141 is 141014214.

It is not a de Polignac number, because 412410141 - 22 = 412410137 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (412410149) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 175150 + ... + 177488.

It is an arithmetic number, because the mean of its divisors is an integer number (14692860).

Almost surely, 2412410141 is an apocalyptic number.

It is an amenable number.

412410141 is a deficient number, since it is larger than the sum of its proper divisors (292847139).

412410141 is a wasteful number, since it uses less digits than its factorization.

412410141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2506 (or 2503 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

The square root of 412410141 is about 20307.8837154441. The cubic root of 412410141 is about 744.3487189845.

Adding to 412410141 its reverse (141014214), we get a palindrome (553424355).

The spelling of 412410141 in words is "four hundred twelve million, four hundred ten thousand, one hundred forty-one".

Divisors: 1 3 9 11 13 33 39 99 117 137 143 411 429 1233 1287 1507 1781 2339 4521 5343 7017 13563 16029 19591 21051 25729 30407 58773 77187 91221 176319 231561 273663 320443 334477 961329 1003431 2883987 3010293 3524873 4165759 10574619 12497277 31723857 37491831 45823349 137470047 412410141